%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.27", %%% date = "02 April 2012", %%% time = "16:26:26 MDT", %%% filename = "siamjscistatcomp.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "26214 25132 107995 1067100", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "BibTeX, bibliography, SIAM Journal on %%% Scientific and Statistical Computing", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a nearly complete bibliography of the %%% journal SIAM Journal on Scientific and %%% Statistical Computing (CODEN SIJCD4, ISSN %%% 0196-5204), published by the Society for %%% Industrial and Applied Mathematics (SIAM). %%% Publication began with Volume 1, Number 1, %%% March 1980, and ceased with Volume 13, Number %%% 6, November 1992, when the journal was %%% renamed to SIAM Journal on Scientific %%% Computing. The latter journal is covered in %%% a separate bibliography, siamjscicomput.bib. %%% %%% At version 1.27, the year coverage looked %%% like this: %%% %%% 1980 ( 38) 1986 ( 93) 1992 ( 85) %%% 1981 ( 37) 1987 ( 88) 1993 ( 2) %%% 1982 ( 33) 1988 ( 77) 1994 ( 3) %%% 1983 ( 56) 1989 ( 72) 1995 ( 2) %%% 1984 ( 69) 1990 ( 69) %%% 1985 ( 72) 1991 ( 84) %%% 19xx ( 1) %%% %%% Article: 881 %%% %%% Total entries: 881 %%% %%% Data for the bibliography has been collected %%% from the OCLC Contents1st database, from the %%% MathSciNet database, from the bibliographies %%% in the TeX User Group and BibNet Project %%% collections, from bibliographies in the %%% author's personal files, from the IEEE INSPEC %%% databases (1985--1997), and from the computer %%% science bibliography collection on %%% ftp.ira.uka.de in /pub/bibliography to which %%% many people of have contributed. The %%% snapshot of this collection was taken on %%% 5-May-1994, and it consists of 441 BibTeX %%% files, 2,672,675 lines, 205,289 entries, and %%% 6,375 String{} abbreviations, occupying %%% 94.8MB of disk space. This journal is not %%% covered by the Compendex databases. %%% %%% Numerous errors in the sources noted above %%% have been corrected. Spelling has been %%% verified with the UNIX spell and GNU ispell %%% programs using the exception dictionary %%% stored in the companion file with extension %%% .sok. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted in %%% publication order, using ``bibsort -byvolume''. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== @Preamble{ "\ifx \undefined \cprime \def \cprime {$\mathsurround=0pt '$}\fi" # "\ifx \undefined \lfhook \let \lfhook = \relax \fi" } %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"} %%% ==================================================================== %%% Journal abbreviations: @String{j-SIAM-J-SCI-STAT-COMP = "SIAM Journal on Scientific and Statistical Computing"} %%% ==================================================================== %%% Bibliography entries: @Article{deBoor:1980:FNM, author = "Carl de Boor", title = "{FFT} as nested multiplication, with a twist", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "??", pages = "173--178", year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Feb 20 14:39:00 MST 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", ZMnumber = "459.65098", } @Article{Ruhe:1980:FEDa, author = "A. Ruhe", title = "Fitting empirical data by positive sums of exponentials", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "??", pages = "481--498", month = "????", year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Fri Sep 1 08:03:49 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruhe-axel.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Chorin:1980:VMB, author = "Alexandre Joel Chorin", title = "Vortex models and boundary layer instability", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "1", pages = "1--21", month = mar, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76E99 (76D10)", MRnumber = "81e:76043", MRreviewer = "William H. H. Banks", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Blue:1980:RMS, author = "James L. Blue", title = "Robust methods for solving systems of nonlinear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "1", pages = "22--33", month = mar, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10", MRnumber = "81k:65050", MRreviewer = "L. Hageman", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bourgat:1980:LDC, author = "J. F. Bourgat and J. M. Dumay and R. Glowinski", title = "Large displacement calculations of flexible pipelines by finite element and nonlinear programming methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "1", pages = "34--81", month = mar, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "73G99 (65N30)", MRnumber = "82c:73037", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Trefethen:1980:NCS, author = "Lloyd N. Trefethen", title = "Numerical computation of the {Schwarz--Christoffel} transformation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "1", pages = "82--102", month = mar, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "81g:30012a", MRreviewer = "N. Papamichael", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See erratum \cite{Trefethen:1980:ENC}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Shampine:1980:IIF, author = "L. F. Shampine", title = "Implementation of implicit formulas for the solution of {ODE}s", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "1", pages = "103--118", month = mar, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "81e:65041", MRreviewer = "David R. Hill", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Strikwerda:1980:IMN, author = "John Strikwerda", title = "Iterative methods for the numerical solution of second order elliptic equations with large first order terms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "1", pages = "119--130", month = mar, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05", MRnumber = "81f:65070", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Beam:1980:ADI, author = "Richard M. Beam and R. F. Warming", title = "Alternating direction implicit methods for parabolic equations with a mixed derivative", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "1", pages = "131--159", month = mar, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M10", MRnumber = "84d:65067", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Ascher:1980:NSM, author = "U. Ascher and F. Y. M. Wan", title = "Numerical solutions for maximum sustainable consumption growth with a multi-grade exhaustible resource", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "1", pages = "160--172", month = mar, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90A30", MRnumber = "81f:90036", MRreviewer = "Kare M. Mjelde", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{DiDonato:1980:CIB, author = "A. R. DiDonato and M. P. {Jarnagin, Jr.} and R. K. Hageman", title = "Computation of the integral of the bivariate normal distribution over convex polygons", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "179--186", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65U05 (62E15)", MRnumber = "82c:65097", MRreviewer = "E. M. Klimko", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Banks:1980:MDL, author = "Stephen C. Banks and Howard L. Taylor", title = "A modification to the discrete $\ell_{1}$ linear approximation algorithm of {Barrodale} and {Roberts}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "187--190", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C05", MRnumber = "82a:90081", MRreviewer = "Asen L. Dontchev", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Gropp:1980:TMM, author = "William D. Gropp", title = "A test of moving mesh refinement for $2$-{D} scalar hyperbolic problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "191--197", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N99", MRnumber = "82j:65088", MRreviewer = "E. G. D\cprime yakonov", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Serbin:1980:ACM, author = "Steven M. Serbin and Sybil A. Blalock", title = "An algorithm for computing the matrix cosine", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "198--204", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65L05)", MRnumber = "82b:65031", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{OLeary:1980:EMC, author = "Dianne Prost O'Leary", title = "Estimating matrix condition numbers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "205--209", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "15A12 (65F35)", MRnumber = "82c:15006", MRreviewer = "O. Pokorn{\'a}", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Saylor:1980:USV, author = "Paul E. Saylor", title = "Use of the singular value decomposition with the {Manteuffel} algorithm for nonsymmetric linear systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "210--222", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65F15)", MRnumber = "81m:65049", MRreviewer = "F. Szidarovszky", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Buneman:1980:TFE, author = "Oscar Buneman", title = "Tetrahedral finite elements for interpolation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "223--248", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65D05)", MRnumber = "82a:65088", MRreviewer = "H. Marcinkowska", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Engquist:1980:ACC, author = "Bj{\"o}rn Engquist and Tom Smedsaas", title = "Automatic computer code generation for hyperbolic and parabolic differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "249--259", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65-04 (65M05 65V05)", MRnumber = "81k:65003", bibdate = "Wed Jun 29 08:32:37 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", referred = "[Char91a].", } @Article{Flaherty:1980:CPT, author = "Joseph E. Flaherty and William Mathon", title = "Collocation with polynomial and tension splines for singularly-perturbed boundary value problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "260--289", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10", MRnumber = "82a:65055", MRreviewer = "T. St\'ys", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bloomfield:1980:LAD, author = "Peter Bloomfield and William Steiger", title = "Least absolute deviations curve-fitting", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "290--301", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (62J05)", MRnumber = "82f:65011", MRreviewer = "Corrado Corradi", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Trefethen:1980:ENC, author = "Lloyd N. Trefethen", title = "Erratum: {``Numerical computation of the Schwarz--Christoffel transformation''}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "302--302", month = jun, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "81g:30012b", MRreviewer = "N. Papamichael", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See \cite{Trefethen:1980:NCS}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Cybenko:1980:NSL, author = "George Cybenko", title = "The numerical stability of the {Levinson--Durbin} algorithm for {Toeplitz} systems of equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "3", pages = "303--319", month = sep, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65M10)", MRnumber = "82i:65019", MRreviewer = "Ahmed H. Sameh", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Tretter:1980:ASA, author = "Marietta J. Tretter and G. W. Walster", title = "Analytic subtraction applied to the incomplete gamma and beta functions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "3", pages = "321--326", month = sep, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D20 (33A15)", MRnumber = "81m:65029", MRreviewer = "Anton Hut'a", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{LaVita:1980:EGU, author = "James LaVita", title = "Error growth in using the random choice method for the inviscid {Burgers} equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "3", pages = "327--332", month = sep, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M15 (76-04 76B99)", MRnumber = "82i:65057", MRreviewer = "Murli M. Gupta", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Roulier:1980:CI, author = "John A. Roulier", title = "Constrained interpolation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "3", pages = "333--344", month = sep, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "41A15 (65D05)", MRnumber = "82e:41018", MRreviewer = "Philip W. Smith", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Murray:1980:PLA, author = "Walter Murray and Michael L. Overton", title = "A projected {Lagrangian} algorithm for nonlinear minimax optimization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "3", pages = "345--370", month = sep, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C30", MRnumber = "82c:90082", MRreviewer = "J. Mockus", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Kriegsmann:1980:SHE, author = "Gregory A. Kriegsmann and Cathleen S. Morawetz", title = "Solving the {Helmholtz} equation for exterior problems with variable index of refraction. {I}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "3", pages = "371--385", month = sep, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05 (35J05 76X05 78A45)", MRnumber = "82b:65097", MRreviewer = "Joseph Oliger", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Fornberg:1980:NMC, author = "Bengt Fornberg", title = "A numerical method for conformal mappings", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "3", pages = "386--400", month = sep, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "81m:30009", MRreviewer = "G. Opfer", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Silverman:1980:MCE, author = "B. W. Silverman and D. M. Titterington", title = "Minimum covering ellipses", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "4", pages = "401--409", month = dec, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "51M10 (62J99 90C99)", MRnumber = "82g:51025", MRreviewer = "R. Pfaffenberger", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Proskurowski:1980:FEC, author = "W{\l}odzimierz Proskurowski and Olof Widlund", title = "A finite element-capacitance matrix method for the {Neumann} problem for {Laplace}'s equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "4", pages = "410--425", month = dec, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65N30)", MRnumber = "83e:65164", MRreviewer = "Kristian Witsch", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Abarbanel:1980:ITD, author = "Saul Abarbanel and David Gottlieb", title = "On improving the $2-4$ two-dimensional leap-frog scheme", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "4", pages = "426--430", month = dec, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M10", MRnumber = "83a:65080", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Steger:1980:GBF, author = "Joseph L. Steger and Denny S. Chaussee", title = "Generation of body-fitted coordinates using hyperbolic partial differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "4", pages = "431--437", month = dec, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N50", MRnumber = "83a:65115", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Rice:1980:DQF, author = "S. O. Rice", title = "Distribution of quadratic forms in normal random variables---evaluation by numerical integration", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "4", pages = "438--448", month = dec, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62E30 (65U05)", MRnumber = "82g:62037", MRreviewer = "James E. Gentle", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See comment \cite{Helstrom:1983:CDQ}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Strikwerda:1980:NMC, author = "John Strikwerda and James Geer", title = "A numerical method for computing the shape of a vertical slender jet", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "4", pages = "449--466", month = dec, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76D25 (65P05 76A60)", MRnumber = "82i:76032", MRreviewer = "Murli M. Gupta", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Watson:1980:SFD, author = "Layne T. Watson", title = "Solving finite difference approximations to nonlinear two-point boundary value problems by a homotopy method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "4", pages = "467--480", month = dec, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (58F10 76D10)", MRnumber = "83b:65083", MRreviewer = "T. Y. Li", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Ruhe:1980:FED, author = "Axel Ruhe", title = "Fitting empirical data by positive sums of exponentials", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "4", pages = "481--498", month = dec, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10", MRnumber = "84h:65019", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Kautsky:1980:EMC, author = "J. Kautsk\'y and N. K. Nichols", title = "Equidistributing meshes with constraints", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "4", pages = "499--511", month = dec, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M50", MRnumber = "83a:65083", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Calamai:1980:SAS, author = "P. H. Calamai and A. R. Conn", title = "A stable algorithm for solving the multifacility location problem involving {Euclidean} distances", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "4", pages = "512--526", month = dec, year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90B05 (90C30)", MRnumber = "82i:90023", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Eisenstat:1981:EIC, author = "Stanley C. Eisenstat", title = "Efficient implementation of a class of preconditioned conjugate gradient methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "1", pages = "1--4", month = mar, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10", MRnumber = "83a:65030", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Wahba:1981:SIS, author = "Grace Wahba", title = "Spline interpolation and smoothing on the sphere", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "1", pages = "5--16", month = mar, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07 (41A15 65D05)", MRnumber = "84j:65016a", bibdate = "Sat Oct 28 08:42:55 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See erratum \cite{Wahba:1982:ESI}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Murio:1981:MMN, author = "Diego A. Murio", title = "The mollification method and the numerical solution of an inverse heat conduction problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "1", pages = "17--34", month = mar, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65P05 (80A20)", MRnumber = "83e:65192", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Georg:1981:TID, author = "Kurt Georg", title = "On tracing an implicitly defined curve by quasi-{Newton} steps and calculating bifurcation by local perturbations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "1", pages = "35--50", month = mar, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "58E07 (58C15 58C40 65H05 65J15 90C30)", MRnumber = "82k:58031", MRreviewer = "Christian Fenske", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Carver:1981:USM, author = "M. B. Carver and S. R. MacEwen", title = "On the use of sparse matrix approximation to the {Jacobian} in integrating large sets of ordinary differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "1", pages = "51--64", month = mar, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "83a:65060", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Moore:1981:PVM, author = "D. W. Moore", title = "On the point vortex method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "1", pages = "65--84", month = mar, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R20 (76C05)", MRnumber = "83f:65214", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Hald:1981:CRM, author = "Ole H. Hald", title = "Convergence of random methods for a reaction-diffusion equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "1", pages = "85--94", month = mar, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99 (35K55 80A20)", MRnumber = "83c:65210", MRreviewer = "John Crank", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Reitz:1981:SNM, author = "Rolf D. Reitz", title = "A study of numerical methods for reaction-diffusion equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "1", pages = "95--106", month = mar, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M05 (35K55 80A20)", MRnumber = "83c:65197", MRreviewer = "John Crank", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Beyn:1981:SMS, author = "Wolf-J{\"u}rgen Beyn and Eusebius Doedel", title = "Stability and multiplicity of solutions to discretizations of nonlinear ordinary differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "1", pages = "107--120", month = mar, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (58F14)", MRnumber = "83d:65223", MRreviewer = "Uri Ascher", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{VanDooren:1981:GEA, author = "P. {Van Dooren}", title = "A generalized eigenvalue approach for solving {Riccati} equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "121--135", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (93E25)", MRnumber = "83h:65052", MRreviewer = "Ahmed H. Sameh", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See erratum \cite{VanDooren:1983:EGE}.", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Electrical Engng. and Computer Sci., Stanford Univ., Stanford, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "eigenvalues; eigenvalues and eigenfunctions; linear system theory; numerical methods; ordering; QZ-algorithm; Riccati equations; subspace", treatment = "A Application; T Theoretical or Mathematical", } @Article{Stewart:1981:IDN, author = "G. W. Stewart", title = "On the implicit deflation of nearly singular systems of linear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "136--140", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05", MRnumber = "82f:65030", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Maryland, College Park, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "iterative methods; linear algebra; linear equations; matrix algebra; nearly singular systems; sparsity", treatment = "A Application; T Theoretical or Mathematical", } @Article{Ward:1981:BGE, author = "Robert C. Ward", title = "Balancing the generalized eigenvalue problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "141--152", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65F35)", MRnumber = "83h:65053", MRreviewer = "Ahmed H. Sameh", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math. and Statistics Res., Union Carbide Corp., Oak Ridge, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm; diagonal transformation; eigenvalues and eigenfunctions; generalized eigenvalue problem; numerical methods; QZ algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Utreras:1981:CRS, author = "Florencio I. Utreras", title = "On computing robust splines and applications", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "153--163", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07", MRnumber = "82f:65010", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. de Matematicas, Univ. de Chile, Santiago, Chile", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Newton minimization algorithm; penalty function method; robust splines; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Davis:1981:NSQ, author = "George J. Davis", title = "Numerical solution of a quadratic matrix equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "164--175", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65F30)", MRnumber = "82f:65036", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Georgia State Univ., Atlanta, GA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "matrix algebra; nonzero vectors; numerical methods; quadratic matrix equation; scalars; solvent matrix; square matrices", treatment = "A Application; T Theoretical or Mathematical", } @Article{Allen:1981:AIP, author = "Richard C. Allen and Steven A. Pruess", title = "An analysis of an inverse problem in ordinary differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "176--185", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "34A55 (65D10)", MRnumber = "84c:34015", MRreviewer = "Brian D. Sleeman", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math. and Statistics, Univ. of New Mexico, Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm; differential equations; matrix algebra; numerical methods; ordinary differential equations", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gay:1981:COL, author = "David M. Gay", title = "Computing optimal locally constrained steps", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "186--197", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K05 (49D37)", MRnumber = "83b:65061", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Center for Computational Res. in Economics and Management Sci., MIT, Cambridge, MA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm; Hessian; least squares approximations; locally constrained steps; negative curvature", treatment = "A Application; T Theoretical or Mathematical", } @Article{Hackbusch:1981:FNS, author = "Wolfgang Hackbusch", title = "Fast numerical solution of time-periodic parabolic problems by a multigrid method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "198--206", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99", MRnumber = "82f:65100", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Ruhr-Univ. Bochum, Bochum, West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm; initial value problem; initial value problems; iterative methods; multigrid method; nonlinear mapping; partial differential equation; partial differential equations; time-periodic parabolic problems", treatment = "A Application; T Theoretical or Mathematical", } @Article{Murray:1981:PLA, author = "Walter Murray and Michael L. Overton", title = "A projected {Lagrangian} algorithm for nonlinear $\ell_{1}$\ optimization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "207--224", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "49D37 (65K05)", MRnumber = "83a:49053", MRreviewer = "V. F. Dem\cprime yanov", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Operations Res., Stanford Univ., Stanford, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "function approximation; Hessian; iterative methods; Lagrange multiplier; Lagrangian algorithm; line search algorithm", treatment = "A Application; T Theoretical or Mathematical", } @Article{Eisenstat:1981:ADS, author = "Stanley C. Eisenstat and Martin H. Schultz and Andrew H. Sherman", title = "Algorithms and data structures for sparse symmetric {Gaussian} elimination", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "225--237", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65N20)", MRnumber = "82f:65029", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra); C6120 (File organisation)", corpsource = "Dept. of Computer Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithms; data structures; linear equations; matrix algebra; numerical methods; sparse elimination; symmetric Gaussian elimination; Yale Sparse Matrix Package", treatment = "A Application; T Theoretical or Mathematical", } @Article{Grcar:1981:CPT, author = "J. Grcar and A. Sameh", title = "On certain parallel {Toeplitz} linear system solvers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "2", pages = "238--256", month = jun, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (68B20)", MRnumber = "82e:65030", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithms; circulant matrix; Hurwitz factorisation; matrix algebra; numerical methods; parallel Toeplitz linear system; subdiagonals", treatment = "A Application; T Theoretical or Mathematical", } @Article{Fletcher:1981:NPP, author = "Roger Fletcher", title = "A nonlinear programming problem in statistics (educational testing)", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "3", pages = "257--267", month = sep, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C30 (90C50)", MRnumber = "82k:90098", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0260 (Optimisation techniques); C1140Z (Other topics in statistics); C1180 (Optimisation techniques); C1290J (Systems theory applications in education)", corpsource = "Dept. of Math., Univ. of Dundee, Dundee, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence; education; educational testing; examination; nonlinear programming; reliability coefficient; scores; SOLVER method; statistics", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Boisvert:1981:FHO, author = "Ronald F. Boisvert", title = "Families of high order accurate discretizations of some elliptic problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "3", pages = "268--284", month = sep, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05 (65N20)", MRnumber = "82m:65095", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); B0240Z (Other topics in statistics); C1120 (Mathematical analysis); C1140Z (Other topics in statistics)", corpsource = "Purdue Univ., W. Lafayette, IN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "difference equations; discretizations; elliptic problems; families; Helmholtz equation; high order finite difference discretizations; HODIE discretizations; iterative methods; linear equations; nine-point formulas; partial differential equations; statistics; truncation error", treatment = "T Theoretical or Mathematical", } @Article{Saffman:1981:PVS, author = "P. G. Saffman and J. C. Schatzman", title = "Properties of a vortex street of finite vortices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "3", pages = "285--295", month = sep, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76C05", MRnumber = "82k:76018", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Dept. of Appl. Math., California Inst. of Technol., Pasadena, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Euler equations; finite area; finite vortices; infinite array; staggered parallel rows; uniform vorticity; vortex street; vortices", treatment = "T Theoretical or Mathematical", } @Article{Gottlieb:1981:SCO, author = "David Gottlieb and Liviu Lustman and Steven A. Orszag", title = "Spectral calculations of one-dimensional inviscid compressible flows", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "3", pages = "296--310", month = sep, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76A60 (65P05 76L05 76N10)", MRnumber = "82m:76002", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4740N (Shock-wave interactions)", corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "contact discontinuities; grid interval; inviscid compressible flows; shock waves; shocks; spectral methods", treatment = "T Theoretical or Mathematical", } @Article{Couet:1981:EEI, author = "Benoit Cou{\"e}t and A. Leonard", title = "Exact extension to the infinite domain for the vortex-in-cell method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "3", pages = "311--320", month = sep, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76A60 (65P05 76C99)", MRnumber = "82k:76004", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0340G (Fluid dynamics: general mathematical aspects); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces); B0240Z (Other topics in statistics); B0290F (Interpolation and function approximation); C1140Z (Other topics in statistics); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Plasma Res., Stanford Univ., Stanford, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary conditions; differential equations; exact extension; finite pentadiagonal systems; infinite domain; numerical simulation; plane layers; Poisson's equation; quadratic spline basis functions; splines (mathematics); statistics; unsteady potential flow; velocity field; vortex-in-cell method; vortical fluid; vortices", treatment = "T Theoretical or Mathematical", } @Article{Zlatev:1981:MDI, author = "Zahari Zlatev", title = "Modified diagonally implicit {Runge-}{Kutta} methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "3", pages = "321--334", month = sep, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "82m:65070", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0220 (Mathematical analysis); B0240Z (Other topics in statistics); B0290P (Differential equations); C1120 (Mathematical analysis); C1140Z (Other topics in statistics); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Aarhus Univ., Aarhus, Denmark", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "diagonally implicit Runge--Kutta methods; differential equations; DIRKM; error estimation; Newton's method; numerical examples; numerical solution; ordinary differential equations; Runge--Kutta methods; stability; statistics", treatment = "T Theoretical or Mathematical", } @Article{Manteuffel:1981:IAA, author = "Thomas A. Manteuffel", title = "An interval analysis approach to rank determination in linear least squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "3", pages = "335--348", month = sep, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65G10", MRnumber = "82m:65042", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); B0240Z (Other topics in statistics); C1110 (Algebra); C1140Z (Other topics in statistics)", corpsource = "Los Alamos Nat. Lab., Los Alamos, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "column rank; decomposition method; interval analysis; linear least squares problems; matrices; matrix algebra; rank determination; statistics", treatment = "T Theoretical or Mathematical", } @Article{UtrerasD:1981:OSN, author = "Florencio {Utreras D.}", title = "Optimal smoothing of noisy data using spline functions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "3", pages = "349--362", month = sep, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10", MRnumber = "82m:65012", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Matematicas, Univ. de Chile, Santiago, Chile", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic behavior; cross validation; eigenvalues; noisy data; optimal smoothing; smoothing spline; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Hanson:1981:AMB, author = "Richard J. Hanson and Michael J. Norris", title = "Analysis of measurements based on the singular value decomposition", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "3", pages = "363--373", month = sep, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (65F30)", MRnumber = "82m:65011", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0170L (Inspection and quality control); B0210 (Algebra); C1110 (Algebra); C1290 (Applications of systems theory)", corpsource = "Numerical Maths. Div., Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "angular representation; computational algorithm; coordinate systems; drawing; explicit least squares; manufactured parts; matrix algebra; measurements analysis; orthogonal transformation matrix; quality control; related matrix; singular value decomposition", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Funderlic:1981:SHS, author = "R. E. Funderlic and J. B. Mankin", title = "Solution of homogeneous systems of linear equations arising from compartmental models", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "4", pages = "375--383", month = dec, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (15A06 92A07)", MRnumber = "83b:65029", MRreviewer = "Jerome Eisenfeld", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Nuclear Div., Union Carbide Corp., Oak Ridge, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "compartmental models; Crout algorithm; differential equations; error analysis; linear differential equations; linear equations; LU factorisation; M matrix; nonnegative off-diagonal elements; queueing network; steady-state solution; tracer methods; transfer function; zero column sums", treatment = "T Theoretical or Mathematical", } @Article{Grimes:1981:CNE, author = "Roger G. Grimes and John G. Lewis", title = "Condition number estimation for sparse matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "4", pages = "384--388", month = dec, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35", MRnumber = "82k:65019", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Energy Technol. Applications Div., Boeing Computer Services Co., Tukwila, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "condition number; convergence of numerical methods; estimation; linear equation solving software; LINPACK package; matrix algebra; sparse matrices", treatment = "T Theoretical or Mathematical", } @Article{Bahar:1981:NTT, author = "E. Bahar and M. Fitzwater", title = "Numerical technique to trace the loci of the complex roots of characteristic equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "4", pages = "389--403", month = dec, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H05 (78A50 86A35)", MRnumber = "82k:65025", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Electrical Engng. Dept., Univ. of Nebraska, Lincoln, NE, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "analytical expressions; characteristic equations; complex roots; conformal mapping; covering space; earth-ionosphere waveguide; irregular spheroidal model; linear algebra; numerical technique; real zero problem; vertically polarized waves", treatment = "T Theoretical or Mathematical", } @Article{Stephens:1981:MSB, author = "A. B. Stephens and G. R. Shubin", title = "Multiple solutions and bifurcation of finite difference approximations to some steady problems of fluid dynamics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "4", pages = "404--415", month = dec, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "58E07 (34A50 65L05 76-08 76D99)", MRnumber = "83c:58025", MRreviewer = "Michael Pr{\"u}fer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340G (Fluid dynamics: general mathematical aspects)", corpsource = "Applied Math. Branch, Naval Surface Weapons Center, Silver Spring, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bifurcation; difference equations; finite difference approximations; fluid dynamics; multiple finite difference solutions; one-dimensional duct flow; steady Burgers' equation; steady problems; supersonic blunt body problem; viscosity", treatment = "T Theoretical or Mathematical", } @Article{George:1981:SLS, author = "J. A. George and M. T. Heath and R. J. Plemmons", title = "Solution of large-scale sparse least squares problems using auxiliary storage", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "4", pages = "416--429", month = dec, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F20", MRnumber = "83d:65124", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C6120 (File organisation)", corpsource = "Dept. of Computer Sci., Univ. of Waterloo, Waterloo, Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "automatic partitioning scheme; auxiliary storage; earthquake studies; finite element analysis; geodetic network adjustments; large-scale sparse least squares problems; least squares approximations; photogrammetry; virtual address space; virtual storage", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Alcouffe:1981:MGM, author = "R. E. Alcouffe and Achi Brandt and J. E. {Dendy, Jr.} and J. W. Painter", title = "The multi-grid method for the diffusion equation with strongly discontinuous coefficients", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "4", pages = "430--454", month = dec, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N50", MRnumber = "82k:65072", bibdate = "Wed Jun 29 08:32:39 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Theoretical Div., Los Alamos Sci. Lab., Los Alamos, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "difference equations; diffusion equation; finite difference operators; multi-grid method; strongly discontinuous coefficients", treatment = "T Theoretical or Mathematical", } @Article{Simpson:1981:TDM, author = "R. B. Simpson", title = "A two-dimensional mesh verification algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "4", pages = "455--473", month = dec, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N50", MRnumber = "82k:65073", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Univ. of Waterloo, Waterloo, Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary data; element incidences; finite element analysis; finite element mesh; two-dimensional mesh verification algorithm; vertex coordinates", treatment = "T Theoretical or Mathematical", } @Article{OLeary:1981:BRP, author = "Dianne P. O'Leary and John A. Simmons", title = "A bidiagonalization-regularization procedure for large scale discretizations of ill-posed problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "2", number = "4", pages = "474--489", month = dec, year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F99 (45L10 65R20)", MRnumber = "82k:65020", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Math. Analysis Div., NBS, Washington, DC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bidiagonalization-regularization procedure; convolution kernels; ill-posed problems; integral equation; integral equations; Lanczos algorithm; large-scale discretizations; least squares approximations; linear least squares problems; matrices", treatment = "T Theoretical or Mathematical", } @Article{Melnick:1982:CEC, author = "Edward L. Melnick", title = "Control of errors in the computation of moments of ranked discrete variables", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "1", pages = "1--5", month = mar, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62G30 (65U05)", MRnumber = "83d:62075", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Davis:1982:AFE, author = "Stephen F. Davis and Joseph E. Flaherty", title = "An adaptive finite element method for initial-boundary value problems for partial differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "1", pages = "6--27", month = mar, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M60 (65M50)", MRnumber = "83d:65259", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Varah:1982:SLS, author = "J. M. Varah", title = "A spline least squares method for numerical parameter estimation in differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "1", pages = "28--46", month = mar, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (65D07 65L05)", MRnumber = "83d:65036", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{deBoor:1982:EPA, author = "Carl {de Boor} and John R. Rice", title = "Extremal polynomials with application to {Richardson} iteration for indefinite linear systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "1", pages = "47--57", month = mar, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10", MRnumber = "83f:65044", MRreviewer = "J. Segethov{\'a}", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Scott:1982:SSD, author = "David S. Scott and Robert C. Ward", title = "Solving symmetric-definite quadratic $\lambda $-matrix problems without factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "1", pages = "58--67", month = mar, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "83d:65116", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Scott:1982:AIO, author = "D. S. Scott", title = "The advantages of inverted operators in {Rayleigh--Ritz} approximations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "1", pages = "68--75", month = mar, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65F35)", MRnumber = "83e:65072", MRreviewer = "Ludwig Elsner", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Colella:1982:GMG, author = "Phillip Colella", title = "{Glimm}'s method for gas dynamics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "1", pages = "76--110", month = mar, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76N10 (65N05 76-08)", MRnumber = "83f:76069", MRreviewer = "F. Milinazzo", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Gilbert:1982:CAC, author = "Robert P. Gilbert and Jarl Jensen", title = "A computational approach for constructing singular solutions of one-dimensional pseudoparabolic and metaparabolic equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "1", pages = "111--125", month = mar, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65P05 (35-04)", MRnumber = "83d:65318", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Shubin:1982:SST, author = "G. R. Shubin and A. B. Stephens and H. M. Glaz and A. B. Wardlaw and L. B. Hackerman", title = "Steady shock tracking, {Newton}'s method, and the supersonic blunt body problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "2", pages = "127--144", month = jun, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76J99 (76-08)", MRnumber = "83f:76062", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4740K (Supersonic and hypersonic flows); A4740N (Shock-wave interactions)", corpsource = "Appl. Maths. Branch, Naval Surface Weapons Center, Silver Spring, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "axisymmetric supersonic blunt body problem; bow shock; constant total enthalpy condition; flow over a sphere; Newton's method; physical shock locations; shock tracking; shock waves; steady shock tracking method; supersonic flow", treatment = "T Theoretical or Mathematical", } @Article{Kautsky:1982:SRD, author = "Jaroslav Kautsky and Nancy K. Nichols", title = "Smooth regrading of discretized data", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "2", pages = "145--159", month = jun, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Feb 20 14:39:00 MST 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", ZMnumber = "482.65009", } @Article{Genz:1982:LEA, author = "Alan C. Genz", title = "A {Lagrange} extrapolation algorithm for sequences of approximations to multiple integrals", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "2", pages = "160--172", month = jun, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D30 (65-04)", MRnumber = "83d:65059", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Math. Inst., Univ. of Kent, Canterbury, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximations to multiple integrals; Fortran subroutine; integration; interpolation; multiple integrals; multivariable Lagrange interpolation; subroutines", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Chan:1982:ALC, author = "Tony F. C. Chan and H. B. Keller", title = "Arc-length continuation and multi-grid techniques for nonlinear elliptic eigenvalue problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "2", pages = "173--194", month = jun, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H05", MRnumber = "83d:65152", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Computer Sci. Dept., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "arc-length continuation; eigenvalues and eigenfunctions; elliptic systems; linear systems; multi-grid algorithm; multi-grid methods; nonlinear elliptic eigenvalue problems; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Smooke:1982:PAP, author = "Mitchell D. Smooke", title = "Piecewise analytical perturbation series solutions of the radial {Schr{\"o}dinger} equation: one-dimensional case", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "2", pages = "195--222", month = jun, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (81C12)", MRnumber = "83d:65232", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0365G (Solutions of wave equations: bound state in quantum theory)", corpsource = "Appl. Maths. Div., Sandia Nat. Labs., Livermore, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "PAPSM; perturbation series solution; piecewise analytical perturbation series; radial Schrodinger equation; Schrodinger equation", treatment = "T Theoretical or Mathematical", } @Article{Heath:1982:SEA, author = "Michael T. Heath", title = "Some extensions of an algorithm for sparse linear least squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "2", pages = "223--237", month = jun, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F20 (65F05)", MRnumber = "83d:65126", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Eubank:1982:COD, author = "Randall L. Eubank and Patricia L. Smith and Philip W. Smith", title = "On the computation of optimal designs for certain time series models with applications to optimal quantile selection for location or scale parameter estimation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "2", pages = "238--249", month = jun, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62M10 (62K05)", MRnumber = "83h:62137", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bayliss:1982:OBC, author = "Alvin Bayliss and Eli Turkel", title = "Outflow boundary conditions for fluid dynamics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "2", pages = "250--259", month = jun, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (76D05)", MRnumber = "83f:76008", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Courant Inst. of Math. Sci., New York Univ., New York, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary condition; boundary layers; boundary-value problems; Euler equation; fluid dynamics; high Reynolds number; Navier--Stokes equations; Navier--Stokes flow; radiation boundary condition; radiation condition", treatment = "T Theoretical or Mathematical", } @Article{Greenstadt:1982:CDA, author = "John Greenstadt", title = "The cell discretization algorithm for elliptic partial differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "3", pages = "261--288", month = sep, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N99 (65N30)", MRnumber = "84c:65148", MRreviewer = "David F. Griffiths", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Palo Alto Sci. Center, IBM Corp., Palo Alto, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary value problems; cell discretization algorithm; elliptic equations; elliptic partial differential equations; finite element method; partial differential equations; representative problems", treatment = "T Theoretical or Mathematical", } @Article{Gautschi:1982:GOP, author = "Walter Gautschi", title = "On generating orthogonal polynomials", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "3", pages = "289--317", month = sep, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D15 (33A65 65D20)", MRnumber = "84e:65022", MRreviewer = "H. E. Fettis", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Computer Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Chebyshev; Chebyshev approximation; finite-dimensional maps; numerical stability; orthogonal polynomials; polynomials; Stieltjes", treatment = "T Theoretical or Mathematical", } @Article{Kriegsmann:1982:RCW, author = "Gregory A. Kriegsmann", title = "Radiation conditions for wave guide problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "3", pages = "318--326", month = sep, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "78A50", MRnumber = "83k:78019", MRreviewer = "W. L. Ko", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B5240D (Waveguide and cavity theory)", corpsource = "Dept. of Engng. Sci. and Appl. Math., Technol. Inst., Northwestern Univ., Evanston, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Helmholtz equation; localized radiation conditions; numerical determination; radiation condition; two-dimensional wave guide; wave guide problems; waveguide theory", treatment = "T Theoretical or Mathematical", } @Article{Segal:1982:ANM, author = "A. Segal", title = "Aspects of numerical methods for elliptic singular perturbation problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "3", pages = "327--349", month = sep, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (65N10)", MRnumber = "83j:65085", MRreviewer = "John C. Strikwerda", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340G (Fluid dynamics: general mathematical aspects); A0560 (Transport processes: theory); A4725Q (Convection and heat transfer)", corpsource = "Dept. of Math. and Informatics, Delft Univ. of Technol., Delft, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary layers; convection; convection-diffusion equation; diffusion; elliptic singular perturbation problems; Galerkin finite element methods; iterative solution methods; numerical methods; partial differential equations; small viscosity coefficient", treatment = "T Theoretical or Mathematical", } @Article{vanderVorst:1982:VVS, author = "Henk A. {van der Vorst}", title = "A vectorizable variant of some {ICCG} methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "3", pages = "350--356", month = sep, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10", MRnumber = "83i:65032", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Acad. Computer Centrum Utrecht, Utrecht, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "highly vectorizable; ICCG methods; large sparse linear systems; linear algebra; preconditioned conjugate gradient method; vector machine; vectorizable variant", treatment = "T Theoretical or Mathematical", } @Article{deHoog:1982:IMN, author = "F. R. {de Hoog} and J. H. Knight and A. N. Stokes", title = "An improved method for numerical inversion of {Laplace} transforms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "3", pages = "357--366", month = sep, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R10", MRnumber = "84h:65113", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290Z (Other numerical methods); C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Div. of Math. and Statistics, CSIRO, Canberra, ACT, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of the Fourier series; function approximation; inversion integral; Laplace transforms; numerical inversion; numerical methods; Pade approximation", treatment = "T Theoretical or Mathematical", } @Article{Petzold:1982:DAE, author = "Linda Petzold", title = "Differential\slash algebraic equations are not {ODEs}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "3", pages = "367--384", month = sep, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L99 (65H99)", MRnumber = "83i:65066", MRreviewer = "L. F. Shampine", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Appl. Math. Div., Sandia Nat. Lab., Livermore, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; differential/algebraic equations; difficulties; error estimates; numerical methods; ODE systems; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Wahba:1982:ESI, author = "Grace Wahba", title = "Erratum: {``Spline interpolation and smoothing on the sphere''}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "3", pages = "385--386", month = sep, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07 (41A15 65D05)", MRnumber = "84j:65016b", bibdate = "Sat Oct 28 08:43:16 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See \cite{Wahba:1981:SIS}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Wesseling:1982:TPA, author = "P. Wesseling", title = "Theoretical and practical aspects of a multigrid method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "4", pages = "387--407", month = dec, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05 (65F35)", MRnumber = "84i:65095", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Maths., Delft Univ. of Technol., Delft, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algebraic system; approximation theory; convergence of numerical methods; convergence proof; difference equations; elliptic partial differential equation; finite difference approximation; incomplete LU decomposition; iterative methods; matrix algebra; multigrid method; partial differential equations; smoothing", treatment = "T Theoretical or Mathematical", } @Article{Gustafsson:1982:SBA, author = "Bertil Gustafsson and Joseph Oliger", title = "Stable boundary approximations for implicit time discretizations for gas dynamics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "4", pages = "408--421", month = dec, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65P05 (76-08 76N15)", MRnumber = "84c:65151", MRreviewer = "T. S. Papatheodorou", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340G (Fluid dynamics: general mathematical aspects); A4740D (General subsonic flows)", corpsource = "Dept. of Computer Sci., Uppsala Univ., Uppsala, Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "aerodynamics; approximation theory; centred spacial differences; conservative variables; convergence of numerical methods; data specifications; difference equations; extrapolation; gas dynamics; implicit time discretizations; initial boundary value problem; initial value problems; linearized equations; scalar outflow problem; solid wall boundary problem; stable difference methods; subsonic inflow problem; subsonic outflow problem", treatment = "T Theoretical or Mathematical", } @Article{Monaghan:1982:WPM, author = "J. J. Monaghan", title = "Why particle methods work (hydrodynamics)", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "4", pages = "422--433", month = dec, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (65P05 76W05 85A30)", MRnumber = "84h:76005", MRreviewer = "Harald E. Krogstad", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340G (Fluid dynamics: general mathematical aspects); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Inst. of Astron., Cambridge, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; finite difference methods; hydrodynamics; interpolation; kernel estimation; particle methods; spectral methods; SPH equations", treatment = "T Theoretical or Mathematical", } @Article{DiDonato:1982:MCI, author = "A. R. DiDonato and R. K. Hageman", title = "A method for computing the integral of the bivariate normal distribution over an arbitrary polygon", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "4", pages = "434--446", month = dec, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62H10 (62-04 65D30)", MRnumber = "84a:62082", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290M (Numerical integration and differentiation); C1140Z (Other topics in statistics); C4160 (Numerical integration and differentiation)", corpsource = "Naval Surface Weapons Center, Dahlgren, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "arbitrary polygon; bivariate normal distribution; integration; probability; self-intersecting polygon; statistics; uniformly bounded N-sided simple polygons", treatment = "T Theoretical or Mathematical", } @Article{Mansfield:1982:SFE, author = "Lois Mansfield", title = "On the solution of the finite element equations for nonlinear shell analysis", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "4", pages = "447--459", month = dec, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (73K25)", MRnumber = "84a:65093", MRreviewer = "N. Gass", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity); A4630C (Elasticity)", corpsource = "Dept. of Appl. Maths. and Computer Sci., Univ. of Virginia, Charlottesville, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; arch problem; classical mechanics of continuous media; elasticity; finite element analysis; finite element equations; mixed formulation; multigrid method; nonlinear shell analysis; potential energy formulation", treatment = "T Theoretical or Mathematical", } @Article{Gartland:1982:DWM, author = "E. C. {Gartland, Jr.}", title = "Discrete weighted mean approximation of a model convection-diffusion equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "4", pages = "460--472", month = dec, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05 (65N20 80A20)", MRnumber = "84j:65058", MRreviewer = "Robert Beauwens", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory); A4725Q (Convection and heat transfer)", corpsource = "Maths. Dept., Southern Methodist Univ., Dallas, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; convection; convective-transport equation; convergence of numerical methods; difference equations; diffusion; discretisation; finite-difference approximations; linear algebraic equations; model convection-diffusion equation; stability; upwind bias", treatment = "T Theoretical or Mathematical", } @Article{vanderHouwen:1982:PCG, author = "P. J. {van der Houwen} and H. B. {de Vries}", title = "Preconditioning and coarse grid corrections in the solution of the initial value problem for nonlinear partial differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "4", pages = "473--485", month = dec, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M20 (65F35)", MRnumber = "84i:65083", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Mathematisch Centrum, Amsterdam, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "coarse grid corrections; convergence; convergence of numerical methods; implicit linear multistep method; incomplete LU-decomposition; initial value problem; initial value problems; integration; iterative methods; matrix algebra; method of lines; Newton type iteration; nonlinear differential equations; nonlinear partial differential equations; partial differential equations; preconditioning; time-dependent partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Zlatev:1982:CTA, author = "Zahari Zlatev and Jerzy Wasniewski and Kjeld Schaumburg", title = "Comparison of two algorithms for solving large linear systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "4", pages = "486--501", month = dec, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65F05)", MRnumber = "83k:65027", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. for Numerical Analysis, Tech. Univ. of Denmark, Lyngby, Denmark", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithms; augmented matrices; coefficient matrix; Gaussian elimination; iterative methods; iterative refinement; large drop tolerance; large linear systems; least squares approximations; linear algebra; linear least-squares problems; NAG subroutines; RECKU subroutines", treatment = "T Theoretical or Mathematical", } @Article{Atkinson:1982:SGI, author = "A. C. Atkinson", title = "The simulation of generalized inverse {Gaussian} and hyperbolic random variables", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "4", pages = "502--515", month = dec, year = "1982", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C10 (65U05)", MRnumber = "84b:65011", MRreviewer = "James E. Gentle", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other topics in statistics); C7310 (Mathematics computing)", corpsource = "Imperial Coll., London, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithms; digital simulation; generalised inverse Gaussian distribution; multivariate generalized hyperbolic distributions; probability; simulation; statistics", treatment = "T Theoretical or Mathematical", } @Article{Brandt:1983:MGM, author = "A. Brandt and S. McCormick and J. Ruge", title = "Multi-grid methods for differential eigenproblems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "??", pages = "244--260", month = "????", year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Brandt:1983:MGA, author = "A. Brandt and C. W. Cryer", title = "Multi-grid algorithms for the solution of linear complementarity problems arising from free boundary problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "??", pages = "655--684", month = "????", year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Gutknecht:1983:NES, author = "Martin H. Gutknecht", title = "Numerical experiments on solving {Theodorsen}'s integral equation for conformal maps with the fast {Fourier} transform and various nonlinear iterative methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "1", pages = "1--30", month = mar, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65E05 (30C30 45L10)", MRnumber = "84c:65054", MRreviewer = "W. Niethammer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations); C4180 (Integral equations)", corpsource = "Angewandte Math., Eidgenossische Tech. Hochschule Zurich, Zurich, Switzerland", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximate mapping function; approximation theory; conformal maps; continuation method; corners; discretised versions; fast Fourier transform; integral equations; iterative methods; nonlinear equations; nonlinear integral equation; nonlinear iterative methods; nonlinear SOR method; numerical experiments; preliminary maps; second order Euler method; Theodorsen's integral equation", } @Article{Kahaner:1983:EAQ, author = "D. Kahaner and J. Stoer", title = "Extrapolated adaptive quadrature", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "1", pages = "31--44", month = mar, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D30", MRnumber = "84c:65041", MRreviewer = "G. A. Evans", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation)", corpsource = "Center for Appl. Math., Washington, DC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence; convergence of numerical methods; extrapolation; global adaption; input accuracy request; integration; numerical examples; numerical quadrature; work", treatment = "T Theoretical or Mathematical", } @Article{Wang:1983:NMS, author = "J. Y. Wang and B. S. Garbow", title = "A numerical method for solving inverse real symmetric eigenvalue problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "1", pages = "45--51", month = mar, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "84b:65041", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Appl. Math. Div., Argonne Nat. Lab., Argonne, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence; convergence of numerical methods; eigenvalues and eigenfunctions; inverse real symmetric eigenvalue problems; iterative methods; least squares approximations; least squares techniques; matching algorithm; matrix algebra; Newton iteration; numerical examples", treatment = "T Theoretical or Mathematical", } @Article{Kearfott:1983:SGB, author = "Ralph Baker Kearfott", title = "Some general bifurcation techniques", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "1", pages = "52--68", month = mar, year = "1983", CODEN = "SIJCD4", DOI = "http://dx.doi.org/10.1137/0904004", ISSN = "0196-5204", MRclass = "65H10 (58C40 58E07)", MRnumber = "84f:65047", MRreviewer = "Eugene Allgower", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Southwestern Louisiana Univ., Lafayette, LA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "derivative-free arc-following method; determinant; finite differences; Jacobi matrix; multiple bifurcation points; nonlinear equations; primary bifurcation points; secondary bifurcation points", treatment = "T Theoretical or Mathematical", } @Article{Joe:1983:EPM, author = "Barry Joe and Richard Bartels", title = "An exact penalty method for constrained, discrete, linear $\ell_{\infty }$ data fitting", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "1", pages = "69--84", month = mar, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K05 (90C05)", MRnumber = "84e:65060", MRreviewer = "N. N. Abdelmalek", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. Computer Sci., Univ. Waterloo, Waterloo, Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; curve fitting; dense problems; discrete approximation; exact penalty method; linear l/sub infinity/ data fitting; linear programming; linearly constrained approximation; penalty linear programming; small problems", treatment = "T Theoretical or Mathematical", } @Article{Dax:1983:DMD, author = "Achiya Dax", title = "A diagonal modification for the down dating algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "1", pages = "85--93", month = mar, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30", MRnumber = "84b:65043", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computer rounding errors; diagonal modification; diagonal positive-definite matrix; down dating algorithm; matrix algebra; n-vector; triangular factors; unit diagonal; upper-triangular matrix", treatment = "T Theoretical or Mathematical", } @Article{Mendez:1983:NSI, author = "R{\'a}ul M{\'e}ndez", title = "Numerical study of incompressible flow about immersed elastic boundaries", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "1", pages = "94--104", month = mar, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76C05 (35Q10 65P05 73J06 76-08 76Z05)", MRnumber = "84d:76015", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4715C (Laminar boundary layers); A4725F (Boundary layer and shear turbulence); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Naval Postgraduate School, Monterey, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary layers; boundary stresses; discretisation; Euler's equations; immersed elastic boundaries; incompressible flow; inviscid fluid; one-dimensional tense elastic boundary; oscillatory motion; Peskin's link formalism; point-forces; two-dimensional fluid; vortex dipoles; vortex pairs; vortices; vorticity", treatment = "T Theoretical or Mathematical", } @Article{Marchesin:1983:SGP, author = "D. Marchesin and P. J. Paes-Leme", title = "Shocks in gas pipelines", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "1", pages = "105--116", month = mar, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76N15 (65P05 76-08 76L05)", MRnumber = "84c:76052", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4740N (Shock-wave interactions); A4760 (Flows in ducts, channels, and conduits)", corpsource = "Dept. de Matematica, Pontifica Univ. Catolica do RJ, Rio de Janeiro, Brazil", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conventional damping term; friction; gas pipelines; Moody friction; numerical schemes; pipe flow; shock waves; shocks; spikes; transient flow; uniform sampling method", treatment = "T Theoretical or Mathematical", } @Article{Baum:1983:FDC, author = "Howard R. Baum and Ronald G. Rehm and P. Darcy Barnett and Daniel M. Corley", title = "Finite difference calculations of buoyant convection in an enclosure. {I}. The basic algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "1", pages = "117--135", month = mar, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76R10 (65M05 76-08)", MRnumber = "84h:76037", MRreviewer = "Robert Pearson", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4425 (Heat convection); A4725Q (Convection and heat transfer)", corpsource = "Center for Fire Res., NBS, Washington, DC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "buoyant convection; computer model; convection; density variations; difference equations; enclosure; finite difference techniques; fires; hot gases; initial boundary value problems; mathematical model; nonseparable elliptic equation; partial differential equations; smoke; software package; spatially distributed heat source; substantial heating; two-dimensional case", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Petzold:1983:ASM, author = "Linda Petzold", title = "Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "1", pages = "137--148", month = mar, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "84k:65075", MRreviewer = "W. H. Enright", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Appl. Math. Div., Sandia Nat. Labs., Livermore, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "automatic method selection; differential equations; integration; LSODE package; nonstiff problems; ordinary differential equations; stiff problems", treatment = "P Practical", xxpages = "136--148", ZMnumber = "518.65051", } @Article{Hatcher:1983:IMS, author = "Robert P. Hatcher and Y. M. Chen", title = "An iterative method for solving inverse problems of a nonlinear wave equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "149--163", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99 (76Q05)", MRnumber = "84f:65074", MRreviewer = "Luciano Biasini", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340K (Waves and wave propagation: general mathematical aspects); A9210V (Underwater sound); A9385 (Instrumentation and techniques for geophysical, hydrospheric and lower atmosphere research)", corpsource = "Dept. of Appl. Maths. and Statistics, State Univ. of New York, Stony Brook, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "iterative methods; nonlinear equations; nonlinear wave equation; ocean sound velocity profile; oceanographic techniques; pulse-spectrum technique; remote sensing; underwater sound; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Varah:1983:PNS, author = "J. M. Varah", title = "Pitfalls in the numerical solution of linear ill-posed problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "164--176", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35 (65R20)", MRnumber = "84g:65052", MRreviewer = "V. V. Vasin", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290R (Integral equations); C4140 (Linear algebra); C4180 (Integral equations)", corpsource = "Computer Sci. Dept., Univ. of British Columbia, Vancouver, BC, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "integral equations; linear algebra; linear ill-posed problems; linear systems; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{George:1983:CSM, author = "Alan George and Michael T. Heath and Esmond Ng", title = "A comparison of some methods for solving sparse linear least-squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "177--187", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F20 65U05)", MRnumber = "85d:65029", MRreviewer = "M. Brannigan", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Univ. of Waterloo, Waterloo, Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Givens rotations; large sparse; linear least squares problems; matrix algebra; normal equations; numerical methods; observation matrix; Peters-Wilkinson algorithm", treatment = "T Theoretical or Mathematical", } @Article{Watkins:1983:IPS, author = "David S. Watkins", title = "An initialization program for separably stiff systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "188--196", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "84d:65051", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Cullum:1983:LAC, author = "Jane Cullum and Ralph A. Willoughby and Mark Lake", title = "A {L{\'a}nczos} algorithm for computing singular values and vectors of large matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "197--215", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "84h:65035", MRreviewer = "Robert Todd Gregory", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "eigenvalues and eigenfunctions; eigenvalues and eigenvectors; Lanczos algorithms; large matrices; matrix algebra; real matrix; sparse real matrices; symmetric matrices", treatment = "T Theoretical or Mathematical", } @Article{Cuppen:1983:SVD, author = "J. J. M. Cuppen", title = "The singular value decomposition in product form", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "216--222", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65F20)", MRnumber = "84d:65021", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Luk:1983:ORP, author = "Franklin T. Luk", title = "Orthogonal rotation to a partially specified target", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "223--228", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F25 (15A04)", MRnumber = "84m:65054", MRreviewer = "B. N. Datta", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Chin:1983:HAF, author = "R. C. Y. Chin and R. Krasny", title = "A hybrid asymptotic-finite element method for stiff two-point boundary value problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "229--243", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (34E20)", MRnumber = "84e:65064", MRreviewer = "R. E. O'Malley, Jr.", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Univ. of California, Lawrence Livermore Nat. Lab., Livermore, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic-finite element method; boundary-value problems; finite element analysis; nonlinear; numerical method; numerical methods; quasilinearization; two-point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Brandt:1983:MMD, author = "A. Brandt and S. McCormick and J. Ruge", title = "Multigrid methods for differential eigenproblems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "244--260", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N25 (65N30)", MRnumber = "84f:65079", MRreviewer = "K. Najzar", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Heller:1983:SNO, author = "Don E. Heller and Ilse C. F. Ipsen", title = "Systolic networks for orthogonal decompositions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "261--269", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (68A05)", MRnumber = "84d:65027", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Kreiss:1983:CCG, author = "Barbro Kreiss", title = "Construction of a curvilinear grid", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "270--279", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M05 (65N05)", MRnumber = "84e:65090", MRreviewer = "W. F. Ames", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Uppsala Univ., Uppsala, Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "curvilinear grid; finite element analysis; hyperbolic differential equations; interpolation; overlapping grids; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Visscher:1983:EDS, author = "William M. Visscher and Aaron S. Goldman", title = "Estimating the distribution of spherical particles from plane sections: an optimal algorithm for solution of the {Abel} integral equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "280--290", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R20", MRnumber = "84d:65093", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Los Alamos Nat. Lab., Univ. of California, Los Alamos, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Abel integral equation; COMIVE; constrained minimum variance estimator; integral equations; Monte Carlo; optimal algorithm", treatment = "T Theoretical or Mathematical", } @Article{Friedman:1983:MAS, author = "Jerome H. Friedman and Eric Grosse and Werner Stuetzle", title = "Multidimensional additive spline approximation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "291--301", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07 (41A15)", MRnumber = "84g:65022", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Stanford Linear Accelerator Center, Stanford, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive procedure; function approximation; nonlinear; spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Pagano:1983:AAS, author = "Marcello Pagano and David Tritchler", title = "Algorithms for the analysis of several $2\times 2$ contingency tables", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "302--309", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62H17 (62-04)", MRnumber = "84f:62067", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Gill:1983:CFD, author = "Philip E. Gill and Walter Murray and Michael A. Saunders and Margaret H. Wright", title = "Computing forward-difference intervals for numerical optimization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "310--321", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "49D07 (49D20 65D25)", MRnumber = "84i:49052", MRreviewer = "G. Di Pillo", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Operations Res., Stanford Univ., Stanford, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "finite element analysis; finite-difference approximation; forward-difference intervals; nonlinear function; numerical optimization; optimisation", treatment = "T Theoretical or Mathematical", } @Article{Causey:1983:CAO, author = "B. D. Causey", title = "Computational aspects of optimal allocation in multivariate stratified sampling", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "322--329", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); C1140Z (Other topics in statistics)", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational aspects; convex programming; multivariate stratified sampling; Neyman allocation; optimal allocation; statistical analysis; total sampling cost", treatment = "T Theoretical or Mathematical", } @Article{Newton:1983:FMP, author = "H. Joseph Newton and Marcello Pagano", title = "The finite memory prediction of covariance stationary time series", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "330--339", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62M20 (62M10)", MRnumber = "84g:62152", MRreviewer = "Hideaki Sakai", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); C1140Z (Other topics in statistics)", corpsource = "Inst. of Statistics, Texas A and M Univ., College Station, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cholesky decomposition; covariance stationary time series; filtering and prediction theory; finite memory prediction; linear predictors; statistical analysis; time series", treatment = "T Theoretical or Mathematical", } @Article{Bielak:1983:MGP, author = "J. Bielak and E. Stephan", title = "A modified {Galerkin} procedure for bending of beams on elastic foundations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "340--352", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "73K25 (73K05)", MRnumber = "84e:73045", MRreviewer = "Ranbir S. Sandhu", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4630C (Elasticity)", corpsource = "Dept. of Civil Engng., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "beam bending; bending; convergence of numerical methods; elastic foundations; elasticity; error analysis; error estimates; Galerkin procedure; Green's function; order of convergence; superconvergence", treatment = "T Theoretical or Mathematical", } @Article{Helstrom:1983:CDQ, author = "Carl W. Helstrom", title = "Comment: {{``Distribution of quadratic forms in normal random variables---evaluation by numerical integration''} [SIAM J. Sci. Statist. Comput. {\bf 1} (1980), no. 4, 438--448, MR 82g:62037] by S. O. Rice}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "2", pages = "353--356", month = jun, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62E30 (65D30 65U05)", MRnumber = "84m:62035", MRreviewer = "James E. Gentle", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See \cite{Rice:1980:DQF}.", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290M (Numerical integration and differentiation); C1140Z (Other topics in statistics); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Electrical Engng. and Computer Sci., Univ. of California, San Diego, La Jolla, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "cumulative distribution; integration; inversion integral; numerically integrating; probability; random variable", treatment = "T Theoretical or Mathematical", } @Article{Dutton:1983:MSI, author = "R. W. Dutton", title = "Modeling of the silicon integrated-circuit design and manufacturing process", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "3", pages = "357--390", month = sep, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B2560B (Semiconductor device modelling and equivalent circuits); B2570F (Other MOS integrated circuits); C7410D (Electronic engineering computing)", corpsource = "Integrated Circuits Lab., Stanford Univ., Stanford, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "circuit CAD; computer-aided design tools; diffusion; field effect integrated circuits; kinetics; manufacturing computer control; manufacturing process; numerical effects; oxidation; oxide-isolated MOS devices; physical effects; process modelling; semiconductor device models; Si IC design; statistical implications", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Fichtner:1983:SDS, author = "Wolfgang Fichtner and Donald J. Rose and Randolph E. Bank", title = "Semiconductor device simulation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "3", pages = "391--415", month = sep, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05 (65C20 65N30 78A55)", MRnumber = "86c:65113a", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B2560B (Semiconductor device modelling and equivalent circuits); B2560R (Insulated gate field effect transistors)", corpsource = "Bell Labs., Murray Hill, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "finite difference implementations; finite-element implementations; insulated gate field effect transistors; inter electrode capacitive coupling; MOSFETs; numerical simulation; semiconductor device models; three-dimensional models; two-dimensional models; VLSI device structures design", treatment = "T Theoretical or Mathematical", } @Article{Bank:1983:NMS, author = "Randolph E. Bank and Donald J. Rose and Wolfgang Fichtner", title = "Numerical methods for semiconductor device simulation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "3", pages = "416--435", month = sep, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05 (65C20 65N30 65W05 78A55)", MRnumber = "86c:65113b", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); B2560B (Semiconductor device modelling and equivalent circuits)", corpsource = "Univ. of California, San Diego, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "coupled system; discretization; linear algebraic equations; nonlinear algebraic equations; nonlinear differential equations; nonlinear operator iteration; nonlinear partial differential equations; numerical methods; numerical techniques; partial differential equations; scaling procedures; semiconductor device models; semiconductor device simulation", treatment = "T Theoretical or Mathematical", } @Article{Watanabe:1983:NSH, author = "D. S. Watanabe and S. Slamet", title = "Numerical simulation of hot-electron phenomena", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "3", pages = "436--451", month = sep, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B2560B (Semiconductor device modelling and equivalent circuits); B2560R (Insulated gate field effect transistors)", corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Auger recombination processes; avalanche processes; Baraff's maximum anisotropy distribution function; current-continuity equations; electron densities; electron-hole recombination; electrostatic potentials; finite-difference techniques; gate oxide; hole densities; hot carriers; hot electron phenomena; hot-electron distribution function; insulated gate field effect transistors; Laplace equations; MOS transistors; parasitic resistance; Poisson equations; semiconductor device models; Shockley--Read--Hall thermal generation-recombination; short-channel MOSFETs; two-dimensional model", treatment = "T Theoretical or Mathematical", } @Article{Polak:1983:APR, author = "S. J. Polak and W. H. A. Schilders and C. {Den Heijer} and Wachters and A. J. H. and H. M. Vaes", title = "Automatic problemsize reduction for on-state semiconductor problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "3", pages = "452--461", month = sep, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B2520 (Semiconductor theory, materials and properties); B2560B (Semiconductor device modelling and equivalent circuits)", corpsource = "Philips Res. Labs., Eindhoven, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "automatic problemsize reduction; discretized problem; numerical methods; onstate semiconductor problems; semiconductor device models", treatment = "T Theoretical or Mathematical", } @Article{Blue:1983:TDA, author = "J. L. Blue and C. J. Wilson", title = "Two-dimensional analysis of semiconductor devices using general-purpose interactive {PDE} software", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "3", pages = "462--484", month = sep, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B1130B (Computer-aided circuit analysis and design); B2560B (Semiconductor device modelling and equivalent circuits); B2570 (Semiconductor integrated circuits); C7410D (Electronic engineering computing)", corpsource = "NBS, Washington, DC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "beveled p-n junction; circuit analysis computing; DMOS power transistor; general-purpose interactive PDE software; large scale integration; minicomputer; nonlinear elliptic partial differential equations; partial differential equations; punchthrough; semiconductor device models; semiconductor devices; short-channel MOSFET; two-dimensional analysis; VLSI devices", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Newton:1983:RBE, author = "A. R. Newton and A. L. Sangiovanni-Vincentelli", title = "Relaxation-based electrical simulation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "3", pages = "485--524", month = sep, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B1130B (Computer-aided circuit analysis and design); B2560B (Semiconductor device modelling and equivalent circuits); B2570 (Semiconductor integrated circuits); C7410D (Electronic engineering computing)", corpsource = "Dept. of Electrical Engng. and Computer Sci., Univ. of California, Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "circuit analysis computing; circuit simulation programs; computer-aided design tools; direct sparse-matrix methods; integrated circuits; monolithic integrated circuits; nonlinear time-domain transient analysis; numerical properties; ordinary differential equations; relaxation based electrical simulation; semiconductor device models; simulators", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Kaufman:1983:MMQ, author = "Linda Kaufman", title = "Matrix methods for queuing problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "3", pages = "525--552", month = sep, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "60K25 (65F50)", MRnumber = "84k:60127", bibdate = "Sat May 03 12:10:34 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140C (Queueing theory); C1340 (Specific control systems)", corpsource = "Bell Labs., Murray Hill, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Kolmogorov equations; linear systems; matrix algebra; matrix methods; nonsingular linear systems; partial differential equations; probability; queueing networks; queueing theory; queuing problems; servers; singular matrix; steady state probabilities; waiting times", treatment = "T Theoretical or Mathematical", } @Article{More:1983:CTR, author = "Jorge J. Mor{\'e} and D. C. Sorensen", title = "Computing a trust region step", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "3", pages = "553--572", month = sep, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K05 (90C30)", MRnumber = "86b:65063", MRreviewer = "A. Ben-Israel", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Math. and Computer Sci. Div., Argonne Nat. Lab., Argonne, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "ellipsoidal constraint; Fortran implementation; GQTPAR; minimisation; minimizer; quadratic function; trust region Newton's method; trust region step computing", treatment = "T Theoretical or Mathematical", } @Article{Keller:1983:BAP, author = "Herbert B. Keller", title = "The bordering algorithm and path following near singular points of higher nullity", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "573--582", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05", MRnumber = "85e:65012", MRreviewer = "Wolfgang Bunse", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1340 (Specific control systems); C4170 (Differential equations)", corpsource = "Appl. Math., California Inst. of Technol., Pasadena, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bordering algorithm; boundary value problems; boundary-value problems; differential equations; higher nullity; linear systems; nonsingular linear systems; path following; singular points", treatment = "T Theoretical or Mathematical", } @Article{Gear:1983:ISL, author = "C. W. Gear and Y. Saad", title = "Iterative solution of linear equations in {ODE} codes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "583--601", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "85a:65104", MRreviewer = "Luciano Biasini", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "codes; iterative methods; Jacobian; linear differential equations; nonlinear equation; ODE codes; quasiNewton method; still equation", treatment = "T Theoretical or Mathematical", } @Article{Cline:1983:SCE, author = "A. K. Cline and R. K. Rew", title = "A set of counter-examples to three condition number estimators", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "602--611", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35 (15A12)", MRnumber = "85a:65065", MRreviewer = "F. Szidarovszky", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Computer Sci. Dept., Univ. of Texas, Austin, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "linear differential equations; linear systems; LINPACK software package; matrix algebra; three condition number estimators", treatment = "T Theoretical or Mathematical", } @Article{Hoppensteadt:1983:EMN, author = "F. C. Hoppensteadt and W. L. Miranker", title = "An extrapolation method for the numerical solution of singular perturbation problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "612--625", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L99 (34E15)", MRnumber = "85a:65131", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; extrapolation; extrapolation method; initial value problems; numerical approximations; numerical solution; ordinary differential equations; perturbation techniques; relaxed equations; singular perturbation problems; stiff systems", treatment = "T Theoretical or Mathematical", } @Article{Peterson:1983:AMF, author = "Janet S. Peterson", title = "An application of mixed finite element methods to the stability of the incompressible {Navier--Stokes} equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "626--634", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76D05 (35Q10 65N30 76-08)", MRnumber = "85h:76021", MRreviewer = "Christopher Caldwell", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. of Math., Univ. of Pittsburgh, Pittsburgh, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "eigenvalue; eigenvalues and eigenfunctions; error estimates; finite element analysis; incompressible Navier--Stokes equation; incompressible viscous flows; mixed finite element methods; Navier--Stokes equations; partial differential equation; partial differential equations; stability; viscosity", treatment = "T Theoretical or Mathematical", } @Article{Shampine:1983:TIO, author = "Lawrence F. Shampine", title = "Type-insensitive {ODE} codes based on extrapolation methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "635--644", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "85j:65026", MRreviewer = "Nabil R. Nassif", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Numerical Math. Div., Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "codes; differential equations; extrapolation; extrapolation methods; initial value problem; ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Hyman:1983:AMP, author = "James M. Hyman", title = "Accurate monotonicity preserving cubic interpolation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "645--654", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D05", MRnumber = "85a:65021", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Center for Nonlinear Studies, Los Alamos Nat. Lab., Los Alamos, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accurate monotonicity preserving cubic interpolation; approximation theory; Hermite interpolant; interpolation", treatment = "T Theoretical or Mathematical", } @Article{Brandt:1983:MAS, author = "Achi Brandt and Colin W. Cryer", title = "Multigrid algorithms for the solution of linear complementarity problems arising from free boundary problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "655--684", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N99 (76S05 90C33)", MRnumber = "85h:65261", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary value problems; boundary-value problems; cavitating journal bearings; elastic-plastic torsion; elliptic partial differential equations; free boundary problems; Gauss--Seidel sweeps; linear complementarity problems; linear elliptic equation; multigrid algorithms; multigrid FAS algorithm; partial differential equations; PFAS; PFASMD; PFMG", treatment = "T Theoretical or Mathematical", } @Article{Cheer:1983:NSI, author = "A. Y. Cheer", title = "Numerical study of incompressible slightly viscous flow past blunt bodies and airfoils", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "685--705", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (76H05)", MRnumber = "85a:76004", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. of Math., Univ. of California, Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "airfoils; blunt bodies; grid-free numerical method; incompressible slightly viscous flow; Joukowski airfoil; Navier--Stokes equations; numerical methods; Reynolds numbers; viscosity", treatment = "T Theoretical or Mathematical", } @Article{Tierney:1983:SER, author = "Luke Tierney", title = "A space-efficient recursive procedure for estimating a quantile of an unknown distribution", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "706--711", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62L20", MRnumber = "85e:62173", MRreviewer = "Luc P. Devroye", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240 (Probability and statistics); C1140 (Probability and statistics)", corpsource = "Dept. of Statistics, Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "direct access storage space; quantile estimation; space-efficient recursive procedure; stochastic approximation; stochastic processes; unknown distribution", treatment = "T Theoretical or Mathematical", } @Article{Dongarra:1983:IACb, author = "J. J. Dongarra", title = "Improving the Accuracy of Computed Singular Values", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "712--719", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10", MRnumber = "85a:65054", MRreviewer = "Beny Neta", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib; http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", URL = "http://www.netlib.org/utk/people/JackDongarra/PAPERS/Improving-the-Accuracy-of-Computed-Singular-Values.pdf", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. and Computer Sci. Div., Argonne Nat. Lab., Argonne, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accuracy; computations; computed singular values; eigenvalue; eigenvalues and eigenfunctions; extended precision; extended precision computations; iterative improvement; iterative methods; linear; linear systems; Newton's method; nla, svd, iterative refinement; singular vectors; systems", reviewer = "Beny Neta", treatment = "T Theoretical or Mathematical", } @Article{Deken:1983:ACM, author = "Joseph G. Deken", title = "Approximating conditional moments of the multivariate normal distribution", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "720--732", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62H10 (62-04)", MRnumber = "85d:62059", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C6130 (Data handling techniques)", corpsource = "Dept. of General Business, Univ. of Texas, Austin, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "closed system; conditional moments approximation; conditional normal moments; MACSYMA; multivariate normal distribution; polynomial approximations; polynomials; symbol manipulation; symbolic manipulation", treatment = "T Theoretical or Mathematical", } @Article{Tischer:1983:NCC, author = "P. Tischer and R. Sacks-Davis", title = "A new class of cyclic multistep formulae for stiff systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "733--747", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10", MRnumber = "85b:65074", MRreviewer = "J. Sprekels", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Monash Univ., Clayton, Vic., Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "characteristic polynomials; cyclic multistep formulae; differential equations; numerical integration; ordinary differential equations; polynomials; stiff systems", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Watson:1983:ASF, author = "G. A. Watson", title = "An algorithm for the single facility location problem using the {Jaccard} metric", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "748--756", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90B05", MRnumber = "85a:90088", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; finite descent algorithm; Jaccard metric; necessary conditions; single facility location problem", treatment = "T Theoretical or Mathematical", } @Article{Clark:1983:DAM, author = "D. I. Clark and M. R. Osborne", title = "A descent algorithm for minimizing polyhedral convex functions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "757--786", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C25 (65K05 90C08)", MRnumber = "85c:90070", MRreviewer = "Andrew R. Conn", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Math. Dept., Univ. of Kentucky, Lexington, KY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "curve fitting; descent algorithm; linear programming; nonparametric procedures; piecewise linear functions; piecewise-linear techniques; polyhedral convex functions minimisation; proximal transform", treatment = "T Theoretical or Mathematical", } @Article{VanDooren:1983:EGE, author = "P. {Van Dooren}", title = "Erratum: {{``A generalized eigenvalue approach for solving Riccati equations''} [SIAM J. Sci. Statist. Comput. {\bf 2} (1981), no. 2, 121--135, MR 83h:65052]}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "4", pages = "787--787", month = dec, year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "85a:65062", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See \cite{VanDooren:1981:GEA}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{vanLeer:1984:RBU, author = "Bram {van Leer}", title = "On the relation between the upwind-differencing schemes of {Godunov}, {Engquist--Osher} and {Roe}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "1--20", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M05 (76-08)", MRnumber = "86a:65085", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Embid:1984:MSS, author = "Pedro Embid and Jonathan Goodman and Andrew Majda", title = "Multiple steady states for $1$-{D} transonic flow", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "21--41", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76H05 (65P05)", MRnumber = "86a:76029", MRreviewer = "Michael J. O'Carroll", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4720 (Hydrodynamic stability and instability); A4740H (Transonic flows)", corpsource = "Center for Pure and Appl. Math., Univ. of California, Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "1-D transonic flow; compressible flow; compressive steady shock waves; farfield behaviour; flow instability; large CFL numbers; multiple steady states; physical time-dependent perturbations; physically unstable steady states; scalar model problem; time-dependent system; transonic flow", treatment = "T Theoretical or Mathematical", } @Article{Kahaner:1984:APG, author = "D. K. Kahaner and J. Waldvogel and L. W. Fullerton", title = "Addition of points to {Gauss--Laguerre} quadrature formulas", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "42--55", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D32", MRnumber = "85c:65026", MRreviewer = "Robert Piessens", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290M (Numerical integration and differentiation); C4110 (Error analysis in numerical methods); C4160 (Numerical integration and differentiation)", corpsource = "Sci. Computing Div., NBS, Washington, DC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "addition of points; error analysis; error estimation; Gauss--Laguerre quadrature; integration; interval of integration; positive weights; real points", treatment = "T Theoretical or Mathematical", } @Article{Strikwerda:1984:FDM, author = "John C. Strikwerda", title = "Finite difference methods for the {Stokes} and {Navier--Stokes} equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "56--68", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76D05 (65N05 76-08)", MRnumber = "85a:76044", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340G (Fluid dynamics: general mathematical aspects); A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Math. Res. Center, Univ. of Wisconsin-Madison, Madison, WI, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "curved boundaries; difference equations; disc with polar coordinates; incompressible Navier--Stokes equations; low Reynolds number; Navier--Stokes equations; new finite difference scheme; nonrectangular geometries; nonuniform grids; primitive variable formulation; second-order accuracy", treatment = "T Theoretical or Mathematical", } @Article{Manohar:1984:HOD, author = "R. Manohar and J. W. Stephenson", title = "High order difference schemes for linear partial differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "69--77", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05", MRnumber = "86c:65116", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Univ. of Saskatchewan, Saskatoon, Sask., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary conditions; boundary mesh points; boundary-value problems; difference equations; difference formulae; high order difference formulae; linear differential equations; linear partial differential equations; local solutions; partial differential equations; Poisson equation; rectangle; variable coefficients", treatment = "T Theoretical or Mathematical", } @Article{Gunzburger:1984:FEM, author = "M. D. Gunzburger and H. G. Wood and J. A. Jordan", title = "A finite element method for gas centrifuge flow problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "78--94", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (65N30)", MRnumber = "85a:76011", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0710 (Mechanical measurement methods and instruments); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "centrifuges; finite element analysis; finite element method; gas centrifuge flow problems; Onsager pancake approximation; rapid rotation; rotational flow", treatment = "T Theoretical or Mathematical", } @Article{Bojanczyk:1984:NSS, author = "A. Boja\'nczyk and R. P. Brent and H. T. Kung", title = "Numerically stable solution of dense systems of linear equations using mesh-connected processors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "95--104", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05", MRnumber = "85b:65026", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Inst. for Informatics, Univ. of Warsaw, Warsaw, Poland", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "back substitution process; convergence of numerical methods; dense system; Givens rotations; linear algebra; linear equations; mesh-connected processors; multiprocessing systems; multiprocessor structure; numerically stable solution; one-dimensional array; two-dimensional array; upper triangular form; VLSI implementation", treatment = "T Theoretical or Mathematical", } @Article{Cuppen:1984:CIV, author = "J. J. M. Cuppen", title = "Calculating the isochrones of ventricular depolarization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "105--120", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "92A09 (31B20)", MRnumber = "85d:92007", MRreviewer = "G. Eason", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A8728 (Bioelectricity); A8730C (Electrical activity in neurophysiological processes)", corpsource = "Dept. of Math., Univ. of Amsterdam, Amsterdam, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "activation times; body surface potentials; electrocardiography; heart surface; inverse problem; isochrones; measurement errors; regularization techniques; singular value decomposition; time domain; ventricular depolarization", treatment = "T Theoretical or Mathematical", } @Article{Chan:1984:DTB, author = "Tony F. Chan", title = "Deflation techniques and block-elimination algorithms for solving bordered singular systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "121--134", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65H10)", MRnumber = "85h:65065", MRreviewer = "W. C. Rheinboldt", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290K (Nonlinear and functional equations); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Computer Sci. Dept., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "backward error bounds; block-elimination algorithms; bordered singular systems; convergence of numerical methods; deflation techniques; linear algebra; linear systems; nonlinear equations; numerical continuation methods; parameterised nonlinear systems; singularity; sparseness; special data structure; special solver; special structures; stability", treatment = "T Theoretical or Mathematical", } @Article{Chan:1984:NLP, author = "Tony F. Chan", title = "{Newton}-like pseudo-arclength methods for computing simple turning points", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "135--148", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65J15 (58C30)", MRnumber = "85h:65126", MRreviewer = "W. C. Rheinboldt", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290M (Numerical integration and differentiation); C4150 (Nonlinear and functional equations); C4160 (Numerical integration and differentiation)", corpsource = "Computer Sci. Dept., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "chord-Newton variant; convergence of numerical methods; damped-Newton variant; differentiation; factorisation; global convergence; Jacobian matrix; Newton's method; Newton-like pseudoarclength methods; nonlinear equations; quadratic convergence; robustness; simple turning points", treatment = "T Theoretical or Mathematical", } @Article{Paine:1984:NMI, author = "John Paine", title = "A numerical method for the inverse {Sturm--Liouville} problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "149--156", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (34A55 34B25)", MRnumber = "85c:65097", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Simon Fraser Univ., Burnaby, BC, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; difference equations; differential eigenvalues; eigenvalues and eigenfunctions; finite difference approximation; inverse eigenvalue problem; inverse Sturm--Liouville problem; matrix algebra; transformation; tridiagonal matrix eigenvalue problem", treatment = "T Theoretical or Mathematical", } @Article{Haymond:1984:CMM, author = "R. E. Haymond and J. P. Jarvis and D. R. Shier", title = "Computational methods for minimum spanning tree algorithms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "157--174", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "68R10", MRnumber = "85a:68148", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math. Sci., Clemson Univ., Clemson, SC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "address calculation sort; data structures; Kruskal; minimum spanning tree algorithms; networks; Prim; Sollin; trees (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Diaconis:1984:NFL, author = "Persi Diaconis and Mehrdad Shahshahani", title = "On nonlinear functions of linear combinations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "175--191", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D15 (62G05)", MRnumber = "85b:65011", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Stanford Univ., Stanford, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; curve fitting; equality; function approximation; linear combinations; necessary and sufficient condition; nonlinear functions; nonuniqueness; projection pursuit algorithms; representation", treatment = "T Theoretical or Mathematical", } @Article{Westbrook:1984:MVI, author = "D. R. Westbrook", title = "A mixed variational inequality boundary iteration method for some free boundary problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "192--202", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (49D15)", MRnumber = "85c:65148", MRreviewer = "Gerhard Telschow", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4755M (Flow through porous media)", corpsource = "Dept. of Math. and Statistics, Univ. of Calgary, Calgary, Alta., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximate finite element solutions; boundary iteration method; boundary-value problems; elliptic problem; flow through porous media; free boundary problems; iterative methods; mixed variational inequality; partial differential equations; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Saad:1984:PUS, author = "Youcef Saad", title = "Practical use of some {Krylov} subspace methods for solving indefinite and nonsymmetric linear systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "203--228", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10", MRnumber = "85m:65029", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Computer Sci. Dept., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "banded Hessenberg matrix; indefinite systems; Krylov subspace methods; linear algebra; linear equations; LU factorisation; nonsymmetric linear systems; partial pivoting; stable factorisations; SYMMLQ", treatment = "T Theoretical or Mathematical", } @Article{Elden:1984:EAR, author = "Lars Eld{\'e}n", title = "An efficient algorithm for the regularization of ill-conditioned least squares problems with triangular {Toeplitz} matrix", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "229--236", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (65F35 65R20 80-08)", MRnumber = "86c:65014", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4180 (Integral equations)", corpsource = "Dept. of Math., Univ. of Linkoping, Linkoping, Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; discretisation; ill-conditioned least squares problems; integral equations; inverse heat conduction problem; least squares approximations; matrix algebra; stabilisation; stationary kernel; Tikhonov--Phillips regularization; triangular Toeplitz matrix; Volterra integral equations", treatment = "T Theoretical or Mathematical", } @Article{Elden:1984:ARI, author = "Lars Eld{\'e}n", title = "An algorithm for the regularization of ill-conditioned, banded least squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "1", pages = "237--254", month = mar, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35 (45B05 49A34 65D10)", MRnumber = "86b:65034", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Univ. of Linkoping, Linkoping, Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; efficiency; fill-in; George and Heath; ill-conditioned banded least-squares problems; least squares approximations; matrix algebra; normal equations; plane rotations; QR-decomposition; regularization; smoothing splines; splines (mathematics); stability", treatment = "T Theoretical or Mathematical", } @Article{Liu:1984:IAS, author = "J. Q. Liu and Y. M. Chen", title = "An iterative algorithm for solving inverse problems of two-dimensional diffusion equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "255--269", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99", MRnumber = "86c:65111", MRreviewer = "Nabil R. Nassif", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Appl. Math., Harbin Inst. of Technol., Harbin, China", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "inverse problems; iterative algorithm; iterative methods; linear diffusion equation; numerical algorithm; pulse-spectrum technique; two-dimensional diffusion equations", treatment = "T Theoretical or Mathematical", } @Article{Duff:1984:DFF, author = "I. S. Duff", title = "Design features of a frontal code for solving sparse unsymmetric linear systems out-of-core", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "270--280", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F05)", MRnumber = "85f:65039", MRreviewer = "O. Pokorn{\'a}", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C6120 (File organisation); C6130 (Data handling techniques)", corpsource = "Computer Sci. and Div., AERE, Harwell, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "codes; CRAY-1; data structures; design features; frontal code; IBM 3033; internal data structures; pivoting strategy; sparse unsymmetric linear systems; user interface", treatment = "P Practical", } @Article{Chin:1984:APS, author = "Raymond C. Y. Chin and Thomas A. Manteuffel and John {de Pillis}", title = "{ADI} as a preconditioning for solving the convection-diffusion equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "281--299", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65N20)", MRnumber = "86g:65067", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Lawrence Livermore Nat. Lab., Livermore, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "alternating direction implicit methods; Chebyshev approximation; Chebyshev method; convection-diffusion equation; directional property; eigenvalues; eigenvalues and eigenfunctions; iterative methods; optimal parameters; partial differential equation; preconditioning; Reynolds number", treatment = "T Theoretical or Mathematical", } @Article{Fritsch:1984:MCL, author = "F. N. Fritsch and J. Butland", title = "A method for constructing local monotone piecewise cubic interpolants", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "300--304", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D05 (65D07)", MRnumber = "85h:65022", MRreviewer = "Peter Alfeld", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. and Statistics Div., Lawrence Livermore Nat. Lab., Livermore, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "interpolation; local monotone piecewise cubic interpolants; monotone data", treatment = "T Theoretical or Mathematical", } @Article{Mastin:1984:QMG, author = "C. W. Mastin and J. F. Thompson", title = "Quasiconformal mappings and grid generation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "305--310", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C60 (65N05)", MRnumber = "85f:30029", MRreviewer = "Timo Erkama", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Math. and Statistics, Mississippi State Univ., Mississippi State, MS, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; elliptic equations; finite difference scheme; graph theory; grid generation; quasiconformal mappings; two-dimensional surfaces", treatment = "T Theoretical or Mathematical", } @Article{Hager:1984:CE, author = "William W. Hager", title = "Condition estimates", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "311--316", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35", MRnumber = "86f:65083", MRreviewer = "Jozef Miklo{\v{s}}ko", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Dept. of Math., Pennsylvania State Univ., University Park, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "condition number; matrix; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Cybenko:1984:FAD, author = "George Cybenko", title = "Fast approximation of dominant harmonics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "317--331", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62M10 (65F15)", MRnumber = "85c:62236", MRreviewer = "E. L. Albasiny", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); C1140Z (Other topics in statistics)", corpsource = "Dept. of Maths., Tufts Univ., Medford, MA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "autoregressive scheme; data sequence; discrete Fourier transform matrix; dominant harmonics; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; exponential approximation; fast approximation; Lanczos algorithm; linear prediction; matrix algebra; Prony's method; pure point spectrum; spectral analysis; stochastic sense; symmetric matrix; time series", treatment = "T Theoretical or Mathematical", } @Article{Weber:1984:ETC, author = "H. Weber", title = "An efficient technique for the computation of stable bifurcation branches", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "332--348", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65J15", MRnumber = "85i:65075", MRreviewer = "K. Moszy\'nski", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1310 (Control system analysis and synthesis methods)", corpsource = "Fachbereich Math., Johannes Gutenberg-Univ. Mainz, Mainz, West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "control system analysis; difference approximations; eigenvalues and eigenfunctions; large sparse linear systems; linear systems; multigrid iteration; nonlinear eigenvalue problems; selective Picard iteration; stable bifurcation branches; stable branches", treatment = "T Theoretical or Mathematical", } @Article{Marsaglia:1984:FEI, author = "George Marsaglia and Wai Wan Tsang", title = "A fast, easily implemented method for sampling from decreasing or symmetric unimodal density functions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "349--359", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65U05 (65C10)", MRnumber = "86a:65137", MRreviewer = "M. Muller", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240G (Monte Carlo methods); C1140G (Monte Carlo methods); C7310 (Mathematics computing)", corpsource = "Computer Sci. Dept., Washington State Univ., Pullman, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "FORTRAN subroutine; Fortran subroutines; Monte Carlo methods; numerical analysis; REXP; RNOR; sampling; subroutines; symmetric unimodal density functions; ziggurat method", treatment = "N New Development; P Practical; T Theoretical or Mathematical", } @Article{deGroen:1984:BSS, author = "Pieter P. N. {de Groen} and Martin Hermann", title = "Bidirectional shooting: a strategy to improve the reliability of shooting methods for {ODE}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "360--369", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (65F15)", MRnumber = "85c:65089", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. Wiskunde, Vrije Univ. Brussel, Brussel, Belgium", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bidirectional shooting; boundary value problems; boundary-value problems; differential equations; endpoints; matrices; ordinary differential equations; orthogonal projections; reliability; singular values", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Lotstedt:1984:NST, author = "Per L{\"o}tstedt", title = "Numerical simulation of time-dependent contact and friction problems in rigid body mechanics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "370--393", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "70-08 (70E99)", MRnumber = "85b:70002", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0320 (Classical mechanics of discrete systems: general mathematical aspects)", corpsource = "Dept. of Numerical Analysis and Computing Sci., Royal Inst. of Technol., Stockholm, Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Coulomb's law; data structure; differential equations; discrete friction model; friction problems; linear multistep methods; mechanics; numerical analysis; numerical simulation; ordinary differential equations; quadratic programming; rigid body mechanics; time-dependent contact", treatment = "T Theoretical or Mathematical", } @Article{Bjorck:1984:GUA, author = "{\AA}ke Bj{\"o}rck", title = "A general updating algorithm for constrained linear least squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "394--402", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (65F50 65U05)", MRnumber = "85k:65012", MRreviewer = "John Todd", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Univ. of Linkoping, Linkoping, Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "constrained linear least squares problems; dense subsets; general updating algorithm; least squares approximations; linear constraints; sparse subsets", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1984:RD, author = "G. W. Stewart", title = "Rank degeneracy", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "403--413", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F25 (65F15)", MRnumber = "85h:65086", MRreviewer = "G. C. Barozzi", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1110 (Algebra)", corpsource = "Computer Sci. Dept., Univ. of Maryland, College Park, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "errors; matrix algebra; matrix rank; perturbation theory; rank degeneracy", treatment = "T Theoretical or Mathematical", } @Article{Roed:1984:OBC, author = "Lars Petter R{\o}ed and Ole Martin Smedstad", title = "Open boundary conditions for forced waves in a rotating fluid", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "414--426", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76U05", MRnumber = "85b:76058", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces); A4735 (Waves in fluid dynamics); A4760 (Flows in ducts, channels, and conduits)", corpsource = "Inst. of Geophys., Univ. of Oslo, Oslo, Norway", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "channel flow; forced waves; open boundary conditions; rotating fluid; rotational flow; Sommerfeld radiation condition; waves", treatment = "T Theoretical or Mathematical", } @Article{Schwandt:1984:IAA, author = "Hartmut Schwandt", title = "An interval arithmetic approach for the construction of an almost globally convergent method for the solution of the nonlinear {Poisson} equation on the unit square", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "427--452", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65G10 (65N05)", MRnumber = "85f:65047", MRreviewer = "J. Albrycht", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Fachbereich Math., Tech. Univ. Berlin, Berlin, West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "almost globally convergent method; boundary-value problems; computation time; Dirichlet boundary conditions; discretization; interval arithmetic approach; Newton-like method; nonlinear equations; nonlinear Poisson equation; storage requirement; unit square", treatment = "T Theoretical or Mathematical", } @Article{Harrod:1984:CSD, author = "W. J. Harrod and R. J. Plemmons", title = "Comparison of some direct methods for computing stationary distributions of {Markov} chains", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "453--469", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "60J10 (65U05)", MRnumber = "85j:60124", MRreviewer = "M. F. Neuts", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290B (Error analysis in numerical methods); C1140Z (Other topics in statistics); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "direct LU factorization method; error analysis; Markov chains; Markov processes; probability; stationary distributions", treatment = "T Theoretical or Mathematical", } @Article{Marsaglia:1984:GCM, author = "George Marsaglia and Ingram Olkin", title = "Generating correlation matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "470--475", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C10 (62H99)", MRnumber = "85h:65018", MRreviewer = "G. P. Bhattacharjee", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240G (Monte Carlo methods); C1140G (Monte Carlo methods)", corpsource = "Computer Sci. Dept., Washington State Univ., Pullmann, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "correlation matrices generation; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; Monte Carlo methods; random correlation matrices; random variables", treatment = "T Theoretical or Mathematical", } @Article{Lugannani:1984:DRQ, author = "R. Lugannani and S. O. Rice", title = "Distribution of the ratio of quadratic forms in normal variables---numerical methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "476--488", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65U05 (62-04)", MRnumber = "85h:65282", MRreviewer = "Kenneth N. Berk", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Electrical Engng. and Computer Sci., Univ. of California, San Diego, La Jolla, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "closed-form expressions; composite random variables; normal variables; numerical integration; numerical methods; probability; probability density; quadratic forms", treatment = "T Theoretical or Mathematical", } @Article{Watanabe:1984:OLF, author = "Daniel S. Watanabe and Qasim M. Sheikh", title = "One-leg formulas for stiff ordinary differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "2", pages = "489--496", month = jun, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "85i:65092", MRreviewer = "J. M. Sanz-Serna", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Computer Sci., Univ. of Illinois, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "backward differentiation formulas; differential equations; instability; one-leg formulas; stability; stability properties; stiff ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Heath:1984:NML, author = "Michael T. Heath", title = "Numerical methods for large sparse linear least squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "497--513", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F20)", MRnumber = "86j:65051", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Dept. of Maths. and Statistics Res., Oak Ridge Nat. Lab., TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "constraints; elimination; finite element structural analysis; geodetic network adjustments; Givens rotations; iterative methods; least squares approximations; matrix algebra; normal equations; numerical methods; orthogonalization; rank deficiency; sparse least squares; updating", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "B Bibliography; T Theoretical or Mathematical", ZMnumber = "575.65030", } @Article{Ward:1984:SMS, author = "Robert C. Ward", title = "{Sparse Matrix Symposium}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "497--743", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Sat May 03 12:10:51 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "block tridiagonal systems; collinearity problem; conformal mapping; dense gas dispersion; discrete Newton algorithms; doubly-connected domains; eigenvalues; eigenvectors; finite difference scheme; force method; gas phase chemical kinetics models; Huber robust regression; incomplete factorization methods; Krylov subspace methods; linear regression; matrix algebra; mesh problems; multifrontal solution; optimization; parallel processing; rate constants; reconfigurable array computers; singular functions; software scene; sparse linear least squares; sparse matrix; sparse orthogonal schemes; structural optimization; symmetric band matrix", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Heath:1984:SOS, author = "M. T. Heath and R. J. Plemmons and R. C. Ward", title = "Sparse orthogonal schemes for structural optimization using the force method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "514--532", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "73K40 (65F50)", MRnumber = "85f:73078", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Dept. of Maths. and Statistics Res., Oak Ridge Nat. Lab., Oak Ridge, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "constrained sum of squares method; digital computers; force method; Givens rotations; linear least squares problems; matrix algebra; matrix structural analysis; nonlinear elastic analysis; optimisation; orthogonal factorization techniques; Paige's method; sparse systems; structural optimization; turnback QR method", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "T Theoretical or Mathematical", ZMnumber = "575.65031", } @Article{Chan:1984:NPK, author = "Tony F. Chan and Kenneth R. Jackson", title = "Nonlinearly preconditioned {Krylov} subspace methods for discrete {Newton} algorithms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "533--542", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (90C30)", MRnumber = "85h:65112", MRreviewer = "J. E. Dennis, Jr.", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290K (Nonlinear and functional equations)C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conjugate gradient methods; directional differencing; discrete Newton algorithms; iterative methods; Jacobian matrix; Krylov subspace iterative method; matrix algebra; Newton's method; nonlinear equations; nonlinear system; numerical methods; SSOR type preconditioning", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "T Theoretical or Mathematical", } @Article{Behie:1984:IFM, author = "G. A. Behie and P. A. {Forsyth, Jr.}", title = "Incomplete factorization methods for fully implicit simulation of enhanced oil recovery", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "543--561", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65N20 65W05 76S05)", MRnumber = "86b:65026", MRreviewer = "R. P. Tewarson", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations); C7490 (Computing in other engineering fields)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Comput. Modelling Group, Calgary, Alta., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "COMBINATIVE method; enhanced oil recovery; ILU methods; incomplete factorization methods; iterative methods; matrix algebra; nonlinear differential equations; nonlinear equations; nonsymmetric block-banded systems; oil technology; ORTHOMIN acceleration; partial differential equations; preconditioning; reservoir simulation", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "T Theoretical or Mathematical", } @Article{Gill:1984:SMM, author = "Philip E. Gill and Walter Murray and Michael A. Saunders and Margaret H. Wright", title = "Sparse matrix methods in optimization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "562--589", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (49D99 65K10)", MRnumber = "85k:65038", MRreviewer = "Sven-{\AA}ke Gustafson", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Dept. of Operations Res., Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "augmented Lagrangian methods; conjugate-gradient methods; iterative method; iterative methods; large scale nonlinear optimization; linear algebra; linear programming; linear systems; matrix factorizations; Newton type methods; nonlinear constraints; numerical methods; optimisation; optimization; quadratic programming; Schur complement; sparse linear constraints; sparse matrices", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Parlett:1984:SSE, author = "B. N. Parlett", title = "The software scene in the extraction of eigenvalues from sparse matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "590--604", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65F50)", MRnumber = "85i:65048", MRreviewer = "David R. Kincaid", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C7310 (Mathematics computing)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "eigenvalues; eigenvalues and eigenfunctions; EISPACK; FORTRAN subroutines; Lanczos algorithm; matrix algebra; software; software packages; sparse matrices; subspace iteration", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "P Practical", } @Article{Duff:1984:DMS, author = "Iain S. Duff", title = "Direct methods for solving sparse systems of linear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "605--619", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50", MRnumber = "85h:65094", MRreviewer = "Niels Munksgaard", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra); C7310 (Mathematics computing)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Div. of Comput. Sci. and Syst., AERE Harwell, Didcot, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "auxiliary storage; Gaussian elimination; linear algebra; linear equations; main memory; matrix factorization; NAG; orthogonal decompositions; pivoting; positive definite systems; software; sparse systems", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "P Practical; T Theoretical or Mathematical", } @Article{OLeary:1984:OSP, author = "Dianne P. O'Leary", title = "Ordering schemes for parallel processing of certain mesh problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "620--632", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65F10 65W05 68N99 68U10)", MRnumber = "85h:65226", MRreviewer = "C. Wayne Mastin", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conjugate gradient algorithms; difference equations; finite difference method; finite element analysis; finite element methods; Gauss--Seidel; Jacobi method; mesh problems; nine-point operator; ordering schemes; parallel processing; picture processing problems; SOR iteration", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "T Theoretical or Mathematical", } @Article{Duff:1984:MSU, author = "I. S. Duff and J. K. Reid", title = "The multifrontal solution of unsymmetric sets of linear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "633--641", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50", MRnumber = "85h:65093", MRreviewer = "Niels Munksgaard", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Div. of Comput. Sci. and Syst., AERE Harwell, Didcot, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "CRAY-1; frontal solution; Gaussian elimination; IBM 3081K; linear algebra; linear equations; multifrontal technique; numerical methods; parallel machine; sparse matrices; unsymmetric equations; vectorization", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "T Theoretical or Mathematical", } @Article{Byrne:1984:PFR, author = "G. D. Byrne and A. J. DeGregoria and D. E. Salane", title = "A program for fitting rate constants in gas phase chemical kinetics models", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "642--657", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "80A30 (80-04)", MRnumber = "85g:80004", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A5110 (Kinetic and transport theory of gases); A8220H (Mechanisms and product distributions in chemical kinetics); A8220P (Measurements of chemical rate constants, reaction cross sections, and activation energies); A8230 (Specific chemical reactions; C7310 (Mathematics computing); C7320 (Physics and chemistry computing); reaction mechanisms)", conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982", conftitle = "Sparse Matrix Symposium", corpsource = "Exxon Res. and Eng. Co., Annandale, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "chemical kinetics package; chemical reaction mechanism; chemical reactions; chemistry computing; CHEMKIN based program; equations of state of gases; FORTRAN subroutine; gas phase chemical kinetics mechanisms; Gauss Newton procedure; inverse problems; kinetic theory of gases; numerical methods; parameter estimation; rate constants; reaction kinetics; stoichiometric form; thermodynamic data", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "P Practical", } @Article{Scott:1984:CFE, author = "David S. Scott", title = "Computing a few eigenvalues and eigenvectors of a symmetric band matrix", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "658--666", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "85k:65032", MRreviewer = "R. E. Funderlic", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Texas Univ., Austin, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bisection algorithm; convergence of numerical methods; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; generalized eigenvalue problems; global convergence; Lanczos algorithm; local convergence; matrix algebra; numerical methods; Rayleigh quotient iteration; symmetric band matrix", treatment = "T Theoretical or Mathematical", } @Article{Kansa:1984:SMF, author = "E. J. Kansa and D. L. {Morgan, Jr.} and L. K. Morris", title = "A simplified moving finite difference scheme: application to dense gas dispersion", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "667--683", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (65M05 76L05)", MRnumber = "85f:76012", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4755K (Multiphase flows); B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Lawrence Livermore Nat. Lab., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "dense gas; difference equations; finite difference scheme; grid velocity; least-squares; liquefied natural gas; moving grid scheme; numerical methods; ordinary differential equations; partial differential equations; PDEs; Rankine-Hugoniot relations; regularization schemes; two-phase flow; two-phase fluid flow", treatment = "T Theoretical or Mathematical", } @Article{Papamichael:1984:USF, author = "N. Papamichael and C. A. Kokkinos", title = "The use of singular functions for the approximate conformal mapping of doubly-connected domains", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "684--700", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30", MRnumber = "86a:30011", MRreviewer = "G. Opfer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); C4120 (Functional analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Maths., Brunel Univ., Uxbridge, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Bergman kernel; circular annulus; conformal mapping; doubly-connected domain; finite Fourier series sum; Fourier transforms; function approximation; functional analysis; orthonormalization method; singular functions; variational method; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Kapur:1984:TSB, author = "R. N. Kapur and J. C. Browne", title = "Techniques for solving block tridiagonal systems on reconfigurable array computers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "701--719", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "86j:65190", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Texas Univ., Austin, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "array computers; block tridiagonal systems; data flow requirements; linear system solving techniques; matrix algebra; multiphase parallel structuring; parallel algorithms; parallel processing; reconfigurable computers", treatment = "T Theoretical or Mathematical", } @Article{Boncelet:1984:VHR, author = "Charles G. {Boncelet, Jr.} and Bradley W. Dickinson", title = "A variant of {Huber} robust regression", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "720--734", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J05 (62F35)", MRnumber = "85h:62086", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290F (Interpolation and function approximation); C1140Z (Other topics in statistics); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Electr. Eng. and Comput. Sci., Princeton Univ., NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "constrained regression; Huber; least absolute residuals; least squares; least squares approximations; linear regression; M-estimator; robust regression; scale estimate; statistical analysis; trimmed mean", treatment = "T Theoretical or Mathematical", } @Article{Wold:1984:CPL, author = "S. Wold and A. Ruhe and H. Wold and W. J. {Dunn, III}", title = "The collinearity problem in linear regression. The partial least squares ({PLS}) approach to generalized inverses", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "3", pages = "735--743", month = sep, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290F (Interpolation and function approximation); C1140Z (Other topics in statistics); C4130 (Interpolation and function approximation)", corpsource = "Inst. of Chem., Umea Univ., Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "chemometrics; collinearities; conjugate gradient method; cross validation; generalized inverses; least squares approximations; linear regression; multiple regression; optimal rank; partial least squares; principal components regression; ridge regression; statistical analysis", treatment = "T Theoretical or Mathematical", } @Article{Mattheij:1984:EAS, author = "R. M. M. Mattheij and G. W. M. Staarink", title = "An efficient algorithm for solving general linear two-point {BVP} (boundary value problems)", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "745--763", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10", MRnumber = "86a:65076", MRreviewer = "V. Pereyra", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary value problems; boundary-value problems; differential equations; efficient algorithm; general linear two-point BVP; integration; integration steps; multiple shooting recursion; numerical analysis; numerical examples; stability", treatment = "T Theoretical or Mathematical", } @Article{Luk:1984:OPR, author = "Franklin T. Luk", title = "Oblique {Procrustes} rotations in factor analysis", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "764--770", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62H25 (65U05)", MRnumber = "86j:62136", MRreviewer = "Jack C. Lee", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other topics in statistics); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "factor analysis; factor matrix; iterative computing; least squares fit; matrix algebra; numerical methods; oblique procrustes; oblique rotation; statistical analysis; target matrix", treatment = "T Theoretical or Mathematical", } @Article{Fornberg:1984:NMC, author = "Bengt Fornberg", title = "A numerical method for conformal mapping of doubly connected regions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "771--783", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "86b:30009", MRreviewer = "G. Opfer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Exxon Res. and Eng. Co., Annandale, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "annulus; concentric circles; conformal mapping; convergence; convergence of numerical methods; doubly connected regions; iterative methods; linearly converging iteration scheme; numerical method; smooth boundaries", treatment = "T Theoretical or Mathematical", } @Article{McKeown:1984:MPA, author = "P. G. McKeown", title = "A mathematical programming approach to editing of continuous survey data", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "784--797", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C7160 (Manufacturing and industrial administration)", corpsource = "Coll. of Bus. Adm., Geogia Univ., Athens, GA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Annual Survey of Manufacturers; answer fields; computational results; continuous survey data; detection process; editing; error detection; errors; inconsistencies; manufacturing data processing; mathematical programming; minimisation; weighted number", treatment = "A Application; T Theoretical or Mathematical", } @Article{Niederreiter:1984:PSP, author = "Harald Niederreiter", title = "The performance of $k$-step pseudorandom number generators under the uniformity test", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "798--810", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C10 (11K06)", MRnumber = "86f:65029", MRreviewer = "R. G. Stoneham", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4210 (Formal logic)", corpsource = "Math. Inst., Austrian Acad. of Sci., Vienna, Austria", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "integers; k-step; linear recursions; pseudorandom number generators; random number generation; recursive functions; sequences; uniformity test", treatment = "T Theoretical or Mathematical", } @Article{Ascher:1984:CSP, author = "U. Ascher and R. Weiss", title = "Collocation for singular perturbation problems. {III}. Nonlinear problems without turning points", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "811--829", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (34E15)", MRnumber = "86g:65138b", MRreviewer = "D. F. Mayers", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; collocation; convergence of numerical methods; locally refined meshes; nonlinear differential equations; nonlinear singularly perturbed boundary value problems; numerical solution; perturbation techniques; singular perturbation problems; symmetric finite difference schemes; turning points; uniform convergence", treatment = "T Theoretical or Mathematical", } @Article{Banks:1984:SBT, author = "H. T. Banks and I. G. Rosen and K. Ito", title = "A spline based technique for computing {Riccati} operators and feedback controls in regulator problems for delay equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "830--855", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "49D99 (34K35 93B40)", MRnumber = "86b:49052", MRreviewer = "F. M. Kirillova", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1310 (Control system analysis and synthesis methods); C1330 (Optimal control); C1340J (Distributed parameter control systems); C4130 (Interpolation and function approximation)", corpsource = "Div. of Appl. Math., Brown Univ., Providence, RI, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "averaging; control system synthesis; delay equations; delays; feedback; feedback controls; infinite interval regulator problem; optimal control; regulator problems; Riccati operators; spline; spline approximation method; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Aref:1984:NFD, author = "H. Aref and P. K. Daripa", title = "Note on finite difference approximations to {Burgers}' equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "856--864", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M10", MRnumber = "86d:65115", MRreviewer = "W. F. Ames", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Div. of Eng., Brown Univ., Providence, RI, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Burgers' equation; difference equations; discretizations; dynamical systems theory; finite difference approximations; flow simulation; initial conditions; initial value problems; kinetic energy; nonconservation; nondissipative terms; partial differential equations; phase plane analysis; physics computing; pointwise resolution; spurious solutions; steady state problem; unlimited amplitude growth", treatment = "T Theoretical or Mathematical", } @Article{Flaherty:1984:NMS, author = "Joseph E. Flaherty and Robert E. {O'Malley, Jr.}", title = "Numerical methods for stiff systems of two-point boundary value problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "865--886", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (34E15)", MRnumber = "86a:65070", MRreviewer = "Martin Stynes", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Math. Sci., Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic solutions; code; differential equations; elastic deformation; elastic foundation; initial approximation; initial value problems; nonlinear singularly perturbed vector; nonuniform computational mesh; numerical methods; perturbation techniques; physics computing; stiff systems; thin nonlinear elastic beam; two-point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Demmel:1984:URN, author = "James Demmel", title = "Underflow and the reliability of numerical software", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "887--919", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65G05", MRnumber = "85m:65035", MRreviewer = "G. Alefeld", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods)", corpsource = "Div. of Comput. Sci., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "codes; digital arithmetic; eigenvalue calculation; Gaussian elimination; gradual underflow; numerical software; polynomial evaluation; reliability; roundoff; roundoff errors; store zero; uncertainty; underflow mechanisms", treatment = "T Theoretical or Mathematical", } @Article{Addison:1984:CSF, author = "C. A. Addison", title = "A comparison of several formulas on lightly damped, oscillatory problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "920--936", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65L20)", MRnumber = "86b:65066", MRreviewer = "Kevin Burrage", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Victoria Univ., BC, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "arithmetic operations; code; differential equations; formula families; integration; integration step; oscillatory problems; trial codes", treatment = "T Theoretical or Mathematical", } @Article{Snider:1984:LSE, author = "Arthur David Snider", title = "Least squares estimation with quantized integrated samples", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "937--945", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65U05 (62M99 94A12)", MRnumber = "86g:65240", MRreviewer = "Carl G. Looney", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other topics in statistics); C1260 (Information theory)", corpsource = "Dept. of Math., South Florida Univ., Tampa, FL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "analogue-digital conversion; error estimates; least squares estimation; linear function; noise; quantized integrated samples; random noise; slope; statistical analysis", treatment = "T Theoretical or Mathematical", } @Article{Manoranjan:1984:NSG, author = "V. S. Manoranjan and A. R. Mitchell and J. Ll. Morris", title = "Numerical solutions of the good {Boussinesq} equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "946--957", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M60 (35Q20)", MRnumber = "86d:65125", MRreviewer = "W. F. Ames", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., Dundee Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Boussinesq equation; Galerkin methods; good Boussinesq equation; numerical experiment; numerical methods; numerical solutions; partial differential equations; soliton solutions; two-soliton interaction", treatment = "T Theoretical or Mathematical", } @Article{Baum:1984:FDS, author = "Howard R. Baum and Ronald G. Rehm", title = "Finite difference solutions for internal waves in enclosures", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "958--977", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M10 (65M05 76V05)", MRnumber = "86a:65088", MRreviewer = "D. Schultz", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods); C4170 (Differential equations); C7320 (Physics and chemistry computing)", corpsource = "Center for Fire Res., NBS, Washington, DC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accuracy; difference equations; enclosure fires; enclosures; finite difference code; finite difference solutions; flow simulation; internal waves; mode frequencies; nonlinear buoyancy driven flows; partial differential equations; physics computing; temporal stability; time differencing", treatment = "T Theoretical or Mathematical", } @Article{Jennings:1984:IMS, author = "A. Jennings and M. A. Ajiz", title = "Incomplete methods for solving ${A}^{\sf T}{Ax}=b$", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "978--987", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (65F20)", MRnumber = "86a:65016", MRreviewer = "Youcef Saad", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Civil Eng., Queens Univ., Belfast, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Givens rotation; Gram--Schmidt; incomplete methods; matrix algebra; numerical efficiencies; orthogonal decompositions; structural analyses", treatment = "T Theoretical or Mathematical", } @Article{George:1984:SSU, author = "Alan George and Michael T. Heath and Esmond Ng", title = "Solution of sparse underdetermined systems of linear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "988--997", month = dec, year = "1984", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F05)", MRnumber = "86h:65058", MRreviewer = "A. Bunse-Gerstner", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "column updating; inconsistency; linear equations; matrix; matrix algebra; minimum-norm solution; orthogonal factorization; rank deficient; sparse underdetermined systems", treatment = "T Theoretical or Mathematical", } @Article{Shampine:1985:GEE, author = "L. F. Shampine and L. S. Baca", title = "Global error estimates for {ODE}s based on extrapolation methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "1--14", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65-04)", MRnumber = "86h:65105", MRreviewer = "Hans J. Stetter", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Div. of Numerical Maths., Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; efficiency; error analysis; extrapolation; extrapolation methods; global error estimates; initial value problem; initial value problems; integration; mathematical software; midpoint rule; ordinary differential equations; reliability; true error estimates", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Levy:1985:TAG, author = "A. V. Levy and A. Montalvo", title = "The tunneling algorithm for the global minimization of functions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "15--29", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C30 (65K05)", MRnumber = "86e:90096", MRreviewer = "Riho Lepp", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Rice Univ., Houston, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "cycle; function minimisation; global minimization; iterative algorithm; iterative methods; minimisation; nonlinear programming; tunneling algorithm", treatment = "T Theoretical or Mathematical", } @Article{Varah:1985:FEN, author = "J. M. Varah", title = "On fitting exponentials by nonlinear least squares", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "30--44", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J02 (65D10)", MRnumber = "86i:62130", MRreviewer = "J{\"o}rg Polzehl", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "best least squares solution; continuous function; curve fitting; discrete data; exponential fitting; exponential functions; least squares approximations; nonlinear least squares; nonuniqueness; sensitivity; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Dyksen:1985:SVN, author = "Wayne R. Dyksen and John R. Rice", title = "Symmetric versus nonsymmetric differencing", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "45--48", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05", MRnumber = "86f:65175", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Div. of Math. Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymmetric differencing; boundary-value problems; difference equations; Dirichlet boundary conditions; finite difference discretisation; nonsymmetric differencing; partial differential equations; self-adjoint elliptic problem; symmetric differencing; symmetric discretisations; unit square", treatment = "T Theoretical or Mathematical", } @Article{Mittelmann:1985:MGS, author = "H. D. Mittelmann and H. Weber", title = "Multi-grid solution of bifurcation problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "49--60", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (65L15 65N25)", MRnumber = "86c:65043", MRreviewer = "W. C. Rheinboldt", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Abteilung Math., Dortmund Univ., West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bifurcation problems; boundary-value problems; continuation near turning points; continuation strategy; eigenvalues and eigenfunctions; inverse iteration type; iterative methods; multigrid solution; nonlinear eigenvalue problems; solution curve parametrisation; solution norm; two-dimensional domains", treatment = "T Theoretical or Mathematical", } @Article{Serbin:1985:SCS, author = "Steven M. Serbin", title = "Some cosine schemes for second-order systems of {ODE}s with time-varying coefficients", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "61--68", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "87k:65089", MRreviewer = "Nabil R. Nassif", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Maths., Tennessee Univ., Knoxville, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximate starting procedure; cosine schemes; differential equations; finite element semidiscretisation; fourth-order accuracy; fourth-order unconditionally stable Hairer method; function approximation; locally fifth-order Taylor expansion; ODEs; rational approximation; second-order hyperbolic problems; second-order linear system; three-point Hermitian expansion; time-varying coefficients; time-varying systems; two-step fourth-order approximation schemes", treatment = "T Theoretical or Mathematical", } @Article{Brent:1985:SSV, author = "Richard P. Brent and Franklin T. Luk", title = "The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "69--84", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65F15)", MRnumber = "86i:65089", MRreviewer = "Youcef Saad", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C5220 (Computer architecture)", corpsource = "Centre for Math. Analysis, Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computer architecture; eigenvalue decomposition; eigenvalues and eigenfunctions; linear array; matrix algebra; multiprocessor arrays; nearest-neighbour communication; parallel Jacobi-like algorithms; parallel processing; singular-value decomposition; square array; symmetric eigenvalue problems; symmetric matrix", treatment = "T Theoretical or Mathematical", } @Article{Appel:1985:EPM, author = "Andrew W. Appel", title = "An efficient program for many-body simulation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "85--103", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "85-04", MRnumber = "85m:85001", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0490 (Other topics in relativity and gravitation); A9510C (Celestial mechanics); C4240 (Programming and algorithm theory); C6110 (Systems analysis and programming); C7320 (Physics and chemistry computing)", corpsource = "Dept. of Comp. Sci., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithmic changes; astrophysics; celestial mechanics; code-tuning; computational complexity; cosmology; data structure modifications; digital simulation; gravitation; gravitational force field; hardware modifications; many-body simulation; N-body problems; particle interactions; physics computing; programming; software; software engineering; tree-structured Universe", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Colella:1985:DEM, author = "Phillip Colella", title = "A direct {Eulerian MUSCL} scheme for gas dynamics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "104--117", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M05 (76-08 76N15)", MRnumber = "86g:65156", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Lawrence Berkeley Lab., California Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "characteristic equations; direct Eulerian MUSCL scheme; fluid dynamics; flux equations; gas dynamics; gas flow; Godunov's method; Riemann problems; second order extension; van Leer's MUSCL scheme", treatment = "T Theoretical or Mathematical", } @Article{Kristiansen:1985:RUN, author = "G. K. Kristiansen", title = "A rootfinder using a nonmonotone rational approximation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "118--127", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H05", MRnumber = "86g:65095", MRreviewer = "T. L. Freeman", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Riso Nat. Lab., Roskilde, Denmark", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "divided differences; function approximation; interpolation; nonmonotone rational approximation; polynomials; rootfinder", treatment = "T Theoretical or Mathematical", } @Article{Asimov:1985:GTT, author = "Daniel Asimov", title = "The grand tour: a tool for viewing multidimensional data", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "128--143", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62H30", MRnumber = "86h:62087", MRreviewer = "A. D. Gordon", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other topics in statistics); C6130B (Graphics techniques); C7310 (Mathematics computing)", corpsource = "Dept. of Comput. Sci., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computer graphics; grand tour; multidimensional data; multivariate statistical data; orthogonal projections; statistics; two-dimensional subspaces", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Mayo:1985:FHO, author = "Anita Mayo", title = "Fast high order accurate solution of {Laplace}'s equation on irregular regions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "144--157", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20", MRnumber = "86i:65066", MRreviewer = "A. V. Dzhishkariani", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "exterior regions; fast numerical solution; harmonic function; integral equation formulation; integral equations; interior regions; irregular regions; Laplace's equation; multiconnected regions; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Isaacson:1985:NAS, author = "D. Isaacson and E. L. Isaacson and D. Marchesin and P. J. Paes-Leme", title = "Numerical analysis of spectral properties of coupled oscillator {Schr{\"o}dinger} operators. {III}. The doubling algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "158--168", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "81C12 (81-08)", MRnumber = "86g:81035", MRreviewer = "Ernest R. Davidson", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0365G (Solutions of wave equations: bound state in quantum theory)", corpsource = "Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "block-Lanczos methods; coupled anharmonic oscillators; coupled oscillator Schrodinger operators; doubling algorithm; eigenpairs; eigenvalues and eigenfunctions; harmonic oscillators; inverse iteration; iterative methods; lowest eigenvalues; preconditioned SYMMLQ; recursive numerical algorithm; Schrodinger equation; spectral analysis; spectral properties", treatment = "T Theoretical or Mathematical", } @Article{Siegel:1985:UMC, author = "Andrew F. Siegel and Fanny O'Brien", title = "Unbiased {Monte Carlo} integration methods with exactness for low order polynomials", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "169--181", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C05 (65D30)", MRnumber = "86d:65018", MRreviewer = "Ryszard Zieli\'nski", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240G (Monte Carlo methods); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C1140G (Monte Carlo methods); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Stat., Washington Univ., Seattle, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation; error analysis; error variances; exactness; function approximation; integration; low order polynomials; Monte Carlo methods; polynomials; sampling distribution; symmetric random designs; two-dimensional multiple integration; unbiased five-point method; unbiased Monte Carlo integration", treatment = "T Theoretical or Mathematical", } @Article{Merriam:1985:FBT, author = "Marshal L. Merriam", title = "On the factorization of block-tridiagonals without storage constraints", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "182--192", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65W05)", MRnumber = "86g:65062", MRreviewer = "Henry Wolkowicz", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "NASA Ames Res. Center, Moffett Field, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "block tridiagonal matrix; computational complexity; difference equations; factorization; floating point operations; matrix algebra; memory cells; parallel processing; storage constraints; storage requirements; trade-offs; vector processing", treatment = "T Theoretical or Mathematical", } @Article{Le:1985:TNR, author = "D. Le", title = "Three new rapidly convergent algorithms for finding a zero of a function", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "193--208", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H05 (90C30)", MRnumber = "86b:65042", MRreviewer = "W. M. Kincaid", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Mech. and Ind. Eng., New South Wales Univ., Kensington, NSW, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bisection; convergence of numerical methods; function evaluation; function zero finding; functions evaluation; interpolation; iterative methods; nonlinear equations; numerical solution; poles and zeros; rapidly convergent algorithms", treatment = "T Theoretical or Mathematical", } @Article{Clark:1985:MSH, author = "D. I. Clark", title = "The mathematical structure of {Huber}'s ${M}$-estimator", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "209--219", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62F35 (62J05)", MRnumber = "86m:62066", MRreviewer = "Joseph W. McKean", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Stat., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; behaviour; defining function; finite algorithm; Huber's M-estimator; L/sub 1/ estimator; linear algebra; mathematical structure; maximum likelihood estimator; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{Concus:1985:BPC, author = "P. Concus and G. H. Golub and G. Meurant", title = "Block preconditioning for the conjugate gradient method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "220--252", month = jan, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65N20)", MRnumber = "87c:65035a", MRreviewer = "Ian Gladwell", bibdate = "Sat Oct 28 08:43:45 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See corrigendum \cite{Concus:1985:CBP}.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Maths., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "block preconditioning; boundary value problem discretisation; conjugate gradient method; elliptic partial differential equations; incomplete block Cholesky factorisations; iterative methods; linear algebra; linear equations; partial differential equations; positive definite block tridiagonal systems; sparse approximate matrix inverses", treatment = "T Theoretical or Mathematical", } @Article{Gourgeon:1985:CAO, author = "Herv{\'e} Gourgeon and Jorge Nocedal", title = "A conic algorithm for optimization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "253--267", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C30 (65K10)", MRnumber = "86k:90119", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Lycee Descartes, Tours, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conic algorithm; conic function; conjugate gradient method; convergence of numerical methods; error bounds; numerical stability; optimisation; optimization; orthogonality properties", treatment = "T Theoretical or Mathematical", } @Article{Diehr:1985:EBB, author = "G. Diehr", title = "Evaluation of a branch and bound algorithm for clustering", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "268--284", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0260 (Optimisation techniques); C1140Z (Other topics in statistics); C1180 (Optimisation techniques); C1250 (Pattern recognition)", corpsource = "Graduate Sch. of Bus., Washington Univ., Seattle, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "branch and bound algorithm; lower bounds; mathematical programming; objective function; optimal clustering; pattern recognition; statistical analysis; within-group sum-of-squares", treatment = "T Theoretical or Mathematical", } @Article{Hariharan:1985:RSU, author = "S. I. Hariharan and Alvin Bayliss", title = "Radiation of sound from unflanged cylindrical ducts", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "285--296", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76Q05 (65M05 65W05)", MRnumber = "86c:76041", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4320 (General linear acoustics); A4350 (Acoustic noise, its effects and control)", corpsource = "Inst. for Comput. Applications in Sci. and Eng., NASA Langley Res. Center, Hampton, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "acoustic field; acoustic noise; acoustic wave propagation; aero-engine inlet; boundary conditions; finite difference scheme; finite element analysis; numerical simulation; plane waves; sound radiation; spin modes; time harmonic solution; time-dependent linearized Euler equations; turbofan engine; unflanged cylindrical ducts", treatment = "T Theoretical or Mathematical", } @Article{Brown:1985:EQN, author = "Peter N. Brown and Alan C. Hindmarsh and Homer F. Walker", title = "Experiments with quasi-{Newton} methods in solving stiff {ODE} systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "297--313", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (34A50 65M20)", MRnumber = "86d:65083", MRreviewer = "J. R. Cash", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Houston Univ., TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "backward differentiation formulas; differential equations; Doolittle LU updates; iterative methods; nonlinear algebraic system; nonlinear systems; numerical methods; ordinary differential equations; quasi-Newton methods; sparse Jacobians; stiff ODE systems", treatment = "T Theoretical or Mathematical", } @Article{Katz:1985:TSR, author = "I. Norman Katz and Mark A. Franklin", title = "Two strategies for root finding on multiprocessor systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "314--333", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (65W05)", MRnumber = "86e:65072", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations); C5440 (Multiprocessing systems)", corpsource = "Dept. of Syst. Sci. and Maths., Washington Univ., St. Louis, MO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "contraction mapping; function evaluation; MIMD computer system; multiprocessor systems; nonlinear equation roots; nonlinear equations; numerical methods; parallel computation; parallel numerical methods; parallel processing; root finding algorithm; speed-up function", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Campbell:1985:NSH, author = "Stephen L. Campbell", title = "The numerical solution of higher index linear time varying singular systems of differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "334--348", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (34E05)", MRnumber = "86e:65091", MRreviewer = "David K. Kahaner", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C1340G (Time-varying control systems); C4170 (Differential equations)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; differential equations; higher index linear time varying singular systems; numerical examples; numerical methods; Taylor series methods; time-varying systems", treatment = "T Theoretical or Mathematical", } @Article{Bunch:1985:SMS, author = "James R. Bunch", title = "Stability of methods for solving {Toeplitz} systems of equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "349--364", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30", MRnumber = "87a:65073", MRreviewer = "David R. Kincaid", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., California Univ., San Diego, La Jolla, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; matrix algebra; O(n log/sup 2/n) algorithms; O(n/sup 2/) algorithms; Pade approximation; partitioning; Toeplitz matrices; Toeplitz systems", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Rossow:1985:BME, author = "Vernon J. Rossow", title = "On {Bartky}'s method for evaluation of integrals of elliptic type with application to round-nosed wedges", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "365--375", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D30 (65E05 76-08)", MRnumber = "86h:65028", MRreviewer = "G. P. Bhattacharjee", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290R (Integral equations); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "Low Speed Aircraft Res. Branch, NASA Ames Res. Center, Moffett Field, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Bartky's method; elliptic integrals; integral equations; integration; numerical integration; round-nosed wedges", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1985:NSN, author = "David H. Anderson and Eugene C. {Gartland, Jr.}", title = "The numerical solution of a nonlinear system arising in time series analysis", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "376--389", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (65U05)", MRnumber = "87a:65087", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C1340K (Nonlinear control systems); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Southern Methodist Univ., Dallas, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "generating function factorization method; iterative methods; nonlinear equations; nonlinear systems; numerical methods; parameter estimation; sufficient conditions; time series; time series analysis", treatment = "T Theoretical or Mathematical", } @Article{George:1985:IGE, author = "Alan George and Esmond Ng", title = "An implementation of {Gaussian} elimination with partial pivoting for sparse systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "390--409", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F05 65W05)", MRnumber = "86e:65060", MRreviewer = "Zahari Zlatev", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cholesky factors; finite element analysis; Gaussian elimination; linear equations; LU-decomposition; MA28; matrix algebra; NSPIV; numerical computation; numerical methods; partial pivoting; sparse nonsingular system; SPARSPAK; triangular matrices", treatment = "T Theoretical or Mathematical", } @Article{Osborne:1985:ATA, author = "M. R. Osborne and G. A. Watson", title = "An analysis of the total approximation problem in separable norms, and an algorithm for the total $\ell_1$ problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "410--424", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J05 (65F20 90C15)", MRnumber = "86j:62152", MRreviewer = "Joseph W. McKean", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Stat., Inst. of Adv. Studies, Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; data fitting; error matrix; finite descent algorithm; linear regression problems; matrix algebra; numerical results; separable norms; total approximation problem; vector norm minimization problem", treatment = "T Theoretical or Mathematical", } @Article{Greenstadt:1985:QQN, author = "John Greenstadt", title = "A {quasi-quasi-Newton} method for generating {quasi-Choleski} factors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "425--437", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "49D15 (49D37 65H05)", MRnumber = "86d:49045", MRreviewer = "Sven-{\AA}ke Gustafson", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290 (Numerical analysis); C1180 (Optimisation techniques); C4100 (Numerical analysis)", corpsource = "IBM Corp., Palo Alto Sci. Center, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "BFGS update; Choleski factors; covariant update factor; iterative methods; minimisation; quasi-Newton update factors; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Chan:1985:IMS, author = "Tony F. Chan and Youcef Saad", title = "Iterative methods for solving bordered systems with applications to continuation methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "438--451", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (49D07)", MRnumber = "86h:65038", MRreviewer = "Fran{\c{c}}ois Robert", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bordered systems; conjugate gradient; continuation methods; eigenvalues; iterative methods; Krylov subspaces; nonlinear elliptic problem; nonlinear equations; numerical experiments; preconditioning; symmetry", treatment = "T Theoretical or Mathematical", } @Article{Adams:1985:SPC, author = "Loyce Adams", title = "$m$-step preconditioned conjugate gradient methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "452--463", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (49D07 65W05)", MRnumber = "86h:65037", MRreviewer = "Fran{\c{c}}ois Robert", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Comput. Applications in Sci. and Eng., NASA Langley Res. Center, Hampton, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "CYBER 203; Finite Element Machine; iterative methods; linear equations; parallel processing; positive definite systems; preconditioned conjugate gradient methods; SSOR PCG; symmetric successive over-relaxation", treatment = "T Theoretical or Mathematical", } @Article{Swarztrauber:1985:VHA, author = "Paul N. Swarztrauber and Akira Kasahara", title = "The vector harmonic analysis of {Laplace}'s tidal equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "464--491", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76B15 (35Q20 76-04 86A05)", MRnumber = "86c:76008", MRreviewer = "E. Cumberbatch", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0270 (Computational techniques)A9210H (Surface waves, tides, and sea level); B0220 (Mathematical analysis); B0290P (Differential equations); C1120 (Mathematical analysis); C4170 (Differential equations); C7340 (Geophysics computing)", corpsource = "Nat. Center for Atmos. Res., Boulder, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; geophysics computing; harmonic analysis; Haurwitz modes; Hough harmonics; Hough vector harmonics; Laplace tidal equations; linearized shallow-water equations; modal analysis; shallow-water equations; spherical vector harmonics; tides; vector harmonic analysis; vectors; zonal rotational modes; zonal wavenumber", treatment = "T Theoretical or Mathematical", } @Article{deZeeuw:1985:CRM, author = "P. M. {de Zeeuw} and E. J. {van Asselt}", title = "The convergence rate of multi-level algorithms applied to the convection-diffusion equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "2", pages = "492--503", month = apr, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65F10 65N30 76R99)", MRnumber = "86h:65169", MRreviewer = "M. M. Sussman", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Math. Centre, Amsterdam, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "7-point ILU; artificial viscosity; coarse-grid operators; convection; convection-diffusion equation; convergence of numerical methods; convergence rate; diffusion; finite element analysis; Galerkin approximation; multi-level algorithms; partial differential equations; relaxation procedures; symmetric point Gauss--Seidel", treatment = "T Theoretical or Mathematical", } @Article{Helstrom:1985:END, author = "Carl W. Helstrom and James A. Ritcey", title = "Evaluation of the noncentral {$F$}-distribution by numerical contour integration", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "505--514", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65U05 (62E15 65R10)", MRnumber = "87e:65089", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Electr. Eng. and Comput. Sci., California Univ., San Diego, La Jolla, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "covariance; Laplace transforms; Laplace's method; linear hypotheses; noncentral F-distribution; numerical contour integration; numerical methods; power function; secant method; variance", treatment = "T Theoretical or Mathematical", } @Article{Brown:1985:TDM, author = "David L. Brown and Luis Guillermo M. Reyna", title = "A two-dimensional mesh refinement method for problems with one-dimensional singularities", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "515--531", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M50", MRnumber = "86j:65127", MRreviewer = "Ji{\v{r}}{\'i} H{\v{r}}eb{\'i}{\v{c}}ek", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math., California Inst. of Technol., Pasadena, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "ADI method; computational mesh; differential equations; interpolation; interpolation procedure; one-dimensional singularities; singular features; two space dimensions; two-dimensional mesh refinement method", treatment = "T Theoretical or Mathematical", } @Article{Hairer:1985:FNS, author = "E. Hairer and Ch. Lubich and M. Schlichte", title = "Fast numerical solution of nonlinear {Volterra} convolution equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "532--541", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R20 (45D05 45L10)", MRnumber = "86j:65180", MRreviewer = "John M. Bownds", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); B0290Z (Other numerical methods)C4180 (Integral equations); C4190 (Other numerical methods)", corpsource = "Inst. fur Angewandte Math., Heidelberg Univ., West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "fast Fourier transform techniques; fast Fourier transforms; fast numerical convolution; integral equations; nonlinear Volterra convolution equations; numerical methods; O( n/sup 2/) kernel evaluations; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Reinelt:1985:PFV, author = "D. A. Reinelt and P. G. Saffman", title = "The penetration of a finger into a viscous fluid in a channel and tube", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "542--561", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (76D99)", MRnumber = "87a:76015", MRreviewer = "Bruce A. Finlayson", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. of Appl. Math., California Inst. of Technol., Pasadena, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "axisymmetric problems; curvilinear grid; finger; flow; fluid dynamics; iterative methods; least squares approximations; low Reynolds number flow; nonlinear squares iteration method; normal-stress boundary condition; rectilinear grid; singular perturbation solution; steady-state shape; Stokes equations; two-dimensional problems; viscous fluid", treatment = "T Theoretical or Mathematical", } @Article{Luk:1985:MMF, author = "Franklin T. Luk", title = "On the minres method of factor analysis", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "562--572", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62H25", MRnumber = "86j:62137", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence properties; factor analysis; least squares approximations; minres method; off-diagonal residuals", treatment = "T Theoretical or Mathematical", } @Article{Narula:1985:BBP, author = "Subhash C. Narula and John F. Wellington", title = "A branch and bound procedure for selection of variables in minimax regression", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "573--581", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J05", MRnumber = "791 186", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Virginia Commonwealth Univ., Richmond, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bound procedure; branch procedure; choice rule; fathoming test; least squares approximations; linear programming; linear programming formulation; maximum weighted absolute error criterion; minimisation; minimization; multiple linear regression model; preoptimality test", treatment = "T Theoretical or Mathematical", } @Article{Potempa:1985:NMT, author = "Thom Potempa", title = "A numerical model of two-dimensional, two-component, single phase miscible displacement in a porous medium", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "582--598", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76S05 (76-08)", MRnumber = "86e:76057", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., Rice Univ., Houston, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational implementation; data structures; differential equations; finite difference models; grid orientation effect; material balance; maximum principle; numerical model; numerical procedure; porous medium; single phase miscible displacement; upstream weighting", treatment = "T Theoretical or Mathematical", } @Article{Nash:1985:PTN, author = "Stephen G. Nash", title = "Preconditioning of truncated-{Newton} methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "599--616", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K10 (49D15)", MRnumber = "86i:65035", MRreviewer = "A. G. Shannon", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Sci., Johns Hopkins Univ., Baltimore, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Hessian matrix; iterative methods; large-scale unconstrained minimization problems; numerical tests; optimisation; outer nonlinear algorithm; preconditioning; scaling strategies; truncated-Newton methods", treatment = "T Theoretical or Mathematical", } @Article{Schwandt:1985:SNE, author = "Hartmut Schwandt", title = "The solution of nonlinear elliptic {Dirichlet} problems on rectangles by almost globally convergent interval methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "617--638", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65G10)", MRnumber = "86k:65108", MRreviewer = "G. Maess", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Tech. Univ., Berlin, West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "almost globally convergent interval methods; discretizations; fast direct solvers; interval arithmetic; Newton-like interval method; nonlinear block SOR method; nonlinear elliptic Dirichlet problems; nonlinear elliptic equations; nonlinear equations; partial differential equations; rectangles", treatment = "T Theoretical or Mathematical", } @Article{Jespersen:1985:AIP, author = "Dennis C. Jespersen and Pieter G. Buning", title = "Accelerating an iterative process by explicit annihilation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "639--651", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65B05 (65F15)", MRnumber = "86g:65013", MRreviewer = "Thomas A. Atchison", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4740H (Transonic flows); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "NASA Ames Res. Center, Moffett Field, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accelerating process; compressible flow; compressible inviscid gas dynamics; dominant eigenvector component; eigenvalues and eigenfunctions; explicit annihilation; explicit Richardson process; implicit algorithm; iterative methods; iterative process; nonlinear problem; slowly convergent stationary iterative process; transonic flow; two-dimensional steady transonic flow", treatment = "T Theoretical or Mathematical", } @Article{Conrad:1985:NAS, author = "Francis Conrad and Claudine Schmidt-Lain{\'e}", title = "Numerical and asymptotic study of a system of coupled diffusion and reaction equations arising in enzyme kinetics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "652--669", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N99 (92A09)", MRnumber = "86j:65171", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A8715 (Molecular biophysics); C1290L (Systems theory applications in biology and medicine); C1330 (Optimal control)", corpsource = "Dept. of Inf., Ecole des Mines de Saint Etienne, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic study; concentration; continuation technique; coupled diffusion; enzyme kinetics; enzyme membrane; numerical methods; numerical study; optimal control; proteins; reaction equations; substrate; temperature", treatment = "T Theoretical or Mathematical", } @Article{Pierce:1985:CLS, author = "Jane E. Pierce and Bert W. Rust", title = "Constrained least squares interval estimation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "670--683", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K10 (93E10)", MRnumber = "86h:65093", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "E. G. and G. ORTEC, Oak Ridge, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "a priori side constraints; classical least squares method; confidence intervals; integral equations; least squares approximations; quadratic programming; rank deficient case; ridge regression; suboptimal method", treatment = "T Theoretical or Mathematical", } @Article{Hall:1985:SCS, author = "G. Hall and M. B. Suleiman", title = "A single code for the solution of stiff and nonstiff {ODE's}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "684--697", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65-04 65V05)", MRnumber = "86g:65129", MRreviewer = "L. Berg", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Manchester Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Adams formulae; automatic tests; backward differentiation formulae; codes; differential equations; nonstiff ODEs; ordinary differential equations; partitioning; single code; stiff ODEs", treatment = "T Theoretical or Mathematical", } @Article{Chan:1985:PNM, author = "Tony F. Chan and Robert Schreiber", title = "Parallel networks for multi-grid algorithms: architecture and complexity", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "698--711", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65N20)", MRnumber = "86h:65205", MRreviewer = "S. F. McCormick", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory); C5220 (Computer architecture); C5620 (Computer networks and techniques)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm parameters; computational complexity; computer networks; elliptic difference equations; multigrid algorithms; parallel networks; parallel processing; special purpose computing networks; systolic arrays", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Eriksson:1985:PTD, author = "Lars-Erik Eriksson", title = "Practical three-dimensional mesh generation using transfinite interpolation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "712--741", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N50 (65D05)", MRnumber = "86g:65224", MRreviewer = "Ian Gladwell", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Aeronaut. Res. Inst. of Sweden, Bromma, Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; computational procedure; interpolation; normal derivatives; O-O type; three-dimensional mesh generation; transfinite interpolation", treatment = "T Theoretical or Mathematical", } @Article{Chan:1985:CES, author = "Tony F. Chan and Faisal Saied", title = "A comparison of elliptic solvers for general two-dimensional regions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "742--760", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20", MRnumber = "86h:65162", MRreviewer = "Lubor Malina", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "capacitance matrix techniques; elliptic solvers; fluid dynamics; general two-dimensional regions; multi-grid techniques; numerical experiments; preconditioned conjugate gradient techniques; sparse matrix techniques; storage requirements", treatment = "T Theoretical or Mathematical", } @Article{Nour-Omid:1985:EPU, author = "B. Nour-Omid and B. N. Parlett", title = "Element preconditioning using splitting techniques", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "761--770", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (49D07 65N20)", MRnumber = "86h:65046", MRreviewer = "Beny Neta", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Center for Pure and Appl. Math., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "assembly process; boundary-value problems; code; conjugate gradient algorithm; element preconditioning; elliptic boundary value problems; finite element analysis; large symmetric systems; splitting techniques", treatment = "T Theoretical or Mathematical", } @Article{Verwer:1985:GEF, author = "J. G. Verwer and H. B. {de Vries}", title = "Global extrapolation of a first order splitting method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "771--780", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M20", MRnumber = "791 198", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Centre for Math. and Comput. Sci., Found. Math. Centre, Amsterdam, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "extrapolation; first order splitting method; global Richardson extrapolation; multi-space dimensional parabolic partial differential equations; numerical solution; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Langberg:1985:USS, author = "Naftali Langberg and Nozer D. Singpurwalla", title = "A unification of some software reliability models", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "781--790", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62N05 (68M15)", MRnumber = "86j:62224", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C6100 (Software techniques and systems)", corpsource = "Tel Aviv Univ., Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Bayes methods; Bayesian statistics; Jelinski-Moranda model; shock models; software reliability; software reliability models; stochastic inequalities; unification", treatment = "T Theoretical or Mathematical", } @Article{Concus:1985:CBP, author = "P. Concus and G. H. Golub and G. Meurant", title = "Corrigendum: {``Block preconditioning for the conjugate gradient method''}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "3", pages = "791--791", month = jul, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65N20)", MRnumber = "87c:65035b", MRreviewer = "Ian Gladwell", bibdate = "Sat Oct 28 08:44:03 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See \cite{Concus:1985:BPC}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Glowinski:1985:CCG, author = "R. Glowinski and H. B. Keller and L. Reinhart", title = "Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "793--832", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (49D07 65H10 76D05)", MRnumber = "86j:65156", MRreviewer = "I. Norman Katz", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Paris VI Univ., France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "1D Bratu problem; 2D Bratu problem; bifurcation points; boundary-value problems; continuation methods; driven cavity problem; finite element analysis; finite element approximations; least squares approximations; least squares formulations; limit points; Navier--Stokes equations; nonlinear boundary value problems; nonlinear equations; one-dimensional bifurcation; perturbed bifurcation; preconditioned conjugate gradient algorithms", treatment = "T Theoretical or Mathematical", } @Article{Seidl:1985:NCM, author = "Albert Seidl and Helmut Klose", title = "Numerical conformal mapping of a towel-shaped region onto a rectangle", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "833--842", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30 (30C20 30C60 65N45)", MRnumber = "86k:30007", MRreviewer = "Charles Saltzer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. fur Festkorpertechnol., Munchen, West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "coupled Laplace equations; field calculations; finite difference method; nearly rectangular domain; numerical conformal mapping; partial differential equations; rectangular mapping; towel-shaped region", treatment = "T Theoretical or Mathematical", } @Article{Cockburn:1985:NRM, author = "Bernardo Cockburn", title = "Numerical resolution of {Maxwell}'s equations in polarisable media at radio and lower frequencies", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "843--852", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "86A20 (65P05 78A25)", MRnumber = "86i:86006", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4110H (Electromagnetic waves: theory); A9125E (Magnetotellurics); A9125Q (Geoelectricity; A9385 (Instrumentation and techniques for geophysical, hydrospheric and lower atmosphere research); B5100 (Electric and magnetic fields); B5210 (Electromagnetic wave propagation); B7710 (Geophysical techniques and equipment); electromagnetic induction and conductivity)", corpsource = "INRIA, Le Chesnay, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convolution term; electromagnetic wave propagation; electromagnetism; geomagnetism; geophysical prospecting; low frequency electromagnetic wave propagation; Maxwell's equations; numerical methods; polarisable medium; RF EM wave propagation; terrestrial electricity; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Stewart:1985:JLA, author = "G. W. Stewart", title = "A {Jacobi}-like algorithm for computing the {Schur} decomposition of a {nonHermitian} matrix", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "853--864", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65W05)", MRnumber = "86j:65047", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Hermitian matrix; iterative method; iterative methods; Jacobi-like algorithm; matrix algebra; nonHermitian matrix; off-diagonal elements; parallel implementation; parallel processing; plane rotations; Schur decomposition; unitary similarity transformations; upper triangular form", treatment = "T Theoretical or Mathematical", } @Article{Saad:1985:PUP, author = "Youcef Saad", title = "Practical use of polynomial preconditionings for the conjugate gradient method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "865--881", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65W05)", MRnumber = "86h:65048", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conjugate gradient algorithm; discretisations; large sparse linear systems; linear algebra; parallel architectures; parallel processing; partial differential equations; polynomial preconditioning; polynomials; symmetric positive definite matrix", treatment = "T Theoretical or Mathematical", } @Article{George:1985:ASM, author = "Alan George and Hamza Rashwan", title = "Auxiliary storage methods for solving finite element systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "882--910", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65F50 65N30 65W05)", MRnumber = "87g:65042", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "auxiliary storage; band method; Cholesky method; computational complexity; computationally complexity; finite element analysis; incomplete nested dissection; input/output traffic; large sparse symmetric matrix; linear algebra; linear equations; partitioning; positive definite matrix", treatment = "T Theoretical or Mathematical", } @Article{Solomon:1985:NSB, author = "A. D. Solomon and V. Alexiades and D. G. Wilson", title = "A numerical simulation of a binary alloy solidification process", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "911--922", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "80A20", MRnumber = "86j:80008", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A6470D (Solid-liquid transitions)A6870 (Whiskers and dendrites: growth, structure, and nonelectronic properties)", corpsource = "Math. and Stat. Res., Oak Ridge Nat. Lab., TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "alloys; binary alloy solidification process; dendrites; dendritic growth; mushy zone; numerical methods; numerical simulation; solidification", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Sanz-Serna:1985:SNN, author = "J. M. Sanz-Serna", title = "Studies in numerical nonlinear instability. {I}. Why do leapfrog schemes go unstable?", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "923--938", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M10", MRnumber = "86h:65138", MRreviewer = "J. T. Oden", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. de Ecuaciones Funcionales, Valladolid Univ., Spain", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; explicit midpoint discretisations; leapfrog discretisations; numerical nonlinear instability; partial differential equations; qualitative behaviour; unbounded solutions", treatment = "T Theoretical or Mathematical", } @Article{Gupta:1985:DES, author = "Gopal K. Gupta", title = "Description and evaluation of a stiff {ODE} code {DSTIFF}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "939--950", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65-04)", MRnumber = "86j:65086", MRreviewer = "David R. Hill", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Dept. of Comput. Sci., Monash Univ., Clayton, Vic., Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; DSTIFF; least squares approximations; least squares multistep formulae; software packages; stiff ordinary differential equations; subroutines", treatment = "X Experimental", } @Article{Decker:1985:ECD, author = "D. W. Decker and C. T. Kelley", title = "Expanded convergence domains for {Newton}'s method at nearly singular roots", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "951--966", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65J15", MRnumber = "86j:65068", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., North Caroline State Univ., Raleigh, NC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accelerated convergence; convergence of numerical methods; functional equations; nearly singular roots; Newton's method; nonlinear equations; nonlinear functional equations", treatment = "T Theoretical or Mathematical", } @Article{Delbourgo:1985:SPP, author = "R. Delbourgo and J. A. Gregory", title = "Shape preserving piecewise rational interpolation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "967--976", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D05 (65D07)", MRnumber = "86m:65012", MRreviewer = "Yury Girshovich", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Fac. of Eng. Sci. and Math., Middlesex Polytech., London, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "C/sup 1/ piecewise rational cubic function; error analysis; interpolation; monotonic rational quadratic interpolant; piecewise rational interpolation; rational cubic form; shape preserving interpolation", treatment = "T Theoretical or Mathematical", } @Article{Schuster:1985:ONE, author = "Eugene F. Schuster", title = "On overwhelming numerical evidence in the settling of {Kinney}'s waiting-time conjecture", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "977--982", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "60C05 (60-04 62E15)", MRnumber = "86m:60031", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other topics in statistics); C7310 (Mathematics computing)", corpsource = "Dept. of Math. Sci., Texas Univ., El Paso, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic logarithmic form; coin tossing; expected value; independent identically distributed geometrics; Kinney's waiting-time conjecture; maximum; overwhelming numerical evidence; probability; statistics", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Moret:1985:MST, author = "B. M. E. Moret and H. D. Shapiro", title = "On minimizing a set of tests", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "983--1003", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0260 (Optimisation techniques); B6140C (Optical information, image and video signal processing); C1140Z (Other topics in statistics); C1180 (Optimisation techniques); C1220 (Simulation, modelling and identification); C1250 (Pattern recognition); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., New Mexico Univ., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximate solutions; biological identification; bounding; computational complexity; discrimination power; fault diagnosis; fault location; fault testing; heuristic programming; heuristics; identification; identification problems; minimisation; minimum test set problem; NP-hard problems; optimal solution methods; pattern recognition; statistical analysis; testing; worst-case behavior", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{McDonald:1985:CEDa, author = "J. A. McDonald and J. Pedersen", title = "Computing environments for data analysis. {I}. Introduction", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "1004--1012", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other topics in statistics); C7310 (Mathematics computing)", corpsource = "Dept. of Stat., Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "batch computers; batch or time-sharing computers; computer facilities; data analysis; graphics workstation network; interactive data analysis; interactive systems; modern computing environments; statistical analysis; statistical data analysis", treatment = "G General Review; P Practical", } @Article{McDonald:1985:CEDb, author = "J. A. McDonald and J. Pedersen", title = "Computing environments for data analysis. {II}. Hardware", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "1013--1021", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other topics in statistics); C5430 (Microcomputers); C5540 (Terminals and graphic displays); C7310 (Mathematics computing)", corpsource = "Dept. of Stat., Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computer facilities; computer graphic equipment; data analysis; data analysis research; graphics workstation evaluation; graphics workstation network, batch computers; graphics workstation selection; hardware; interactive data analysis; interactive systems; modern computing environments; statistical analysis; statistical data analysis; time-sharing computers; workstations", treatment = "G General Review; P Practical", } @Article{Kane:1985:ALD, author = "V. E. Kane and R. C. Ward and G. J. Davis", title = "Assessment of linear dependencies in multivariate data", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "1022--1032", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62H20", MRnumber = "801 186", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); C1140Z (Other topics in statistics)", corpsource = "Ford Motor Co., Dearborn, MI, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "centred data matrix; dependency coefficients; discriminant analysis; factor analysis; linear dependency analysis; multivariate data; principal component analysis; regression; right singular vectors; sample correlation matrix eigenvalues; scaled data matrix; singular value decomposition; statistical analysis", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Wright:1985:ANL, author = "S. J. Wright and J. N. Holt", title = "Algorithms for nonlinear least squares with linear inequality constraints", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "1033--1048", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K10 (49D37 90C15)", MRnumber = "86m:65074", MRreviewer = "M. M. Flood", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Electr. and Comput. Eng., Arizona Univ., Tucson, AZ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "active constraints; approximate minimiser; circular region of trust; exponential data-fitting problem; general linear inequality constraints; iteration; iterative methods; least squares approximations; Levenberg--Marquardt method; nonlinear least squares problems; unconstrained linear least squares problem", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Saad:1985:SED, author = "Y. Saad and A. Sameh and P. Saylor", title = "Solving elliptic difference equations on a linear array of processors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "4", pages = "1049--1063", month = oct, year = "1985", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65N20)", MRnumber = "86h:65209", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithmic performance; Chebyshev approximation; computational complexity; cyclic Chebyshev semiiterative scheme; difference equations; generalised Chebyshev method; interprocessor communication cost; iterative methods; linear processor array; linearly connected processors; multiprocessing programs; multiprocessor; parallel processing; partial differential equations; pipeline processing; preconditioned conjugate gradient method; self-adjoint elliptic difference equations", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Shore:1986:SGA, author = "H. Shore", title = "Simple general approximations for a random variable and its inverse distribution function based on linear transformations of a nonskewed variate", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "1--23", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290F (Interpolation and function approximation); C1140Z (Other topics in statistics); C4130 (Interpolation and function approximation)", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "explicit inverse cumulative density function; function approximation; hypothesis testing; interval estimation; inventory analysis; inverse distribution function; linear normal approximations; linear transformations; loss function; nonskewed random variable; Poisson distribution; probability; random processes; simple general approximations; statistics", treatment = "T Theoretical or Mathematical", } @Article{Fishman:1986:EAM, author = "George S. Fishman and Louis R. {Moore, III}", title = "An exhaustive analysis of multiplicative congruential random number generators with modulus $2^{31}-1$", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "24--45", month = jan, year = "1986", CODEN = "SIJCD4", DOI = "http://dx.doi.org/10.1137/0907002", ISSN = "0196-5204", MRclass = "65C10", MRnumber = "87g:65010a", MRreviewer = "A. S. Rasulov", bibdate = "Sat Oct 28 08:44:48 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See erratum \cite{Fishman:1986:EEA}.", URL = "http://link.aip.org/link/?SCE/7/24/1", abstract = "This paper presents the results of an exhaustive search to find optimal full period multipliers for the multiplicative congruential random number generator with prime modulus $2^{31} - 1$. Here a multiplier is said to be optimal if the distance between adjacent parallel hyperplanes on which k-tuples lie does not exceed the minimal achievable distance by more than 25 percent for $k = 2, \cdots, 6$. This criterion is considerably more stringent than prevailing standards of acceptability and leads to a total of only 414 multipliers among the more than 534 million candidate multipliers.", acknowledgement = ack-nhfb, classification = "C1140Z (Other topics in statistics); C1160 (Combinatorial mathematics); C7310 (Mathematics computing)", corpsource = "North Carolina Univ., Chapel Hill, NC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "linear congruential generators; multiplicative congruential random number generators; number theory; optimal full period multipliers; optimal multipliers; performance evaluation; prime modulus 2/sup 31/-1; random number generation; worst case performance measures", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Chernoff:1986:NSB, author = "Herman Chernoff and A. John Petkau", title = "Numerical solutions for {Bayes} sequential decision problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "46--59", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62L10", MRnumber = "819 456", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240E (Game theory); B0290P (Differential equations); C1140E (Game theory); C4170 (Differential equations)", corpsource = "Stat. Center, MIT, Cambridge, MA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "backward induction; Bayes methods; Bayes sequential decision problems; boundary-value problems; continuity corrections; decision theory; free boundary problems; function approximation; heat equation; heat transfer; monotone boundaries; normal random variables; numerical methods; numerical solution; one-sided boundaries; optimal stopping problems; partial differential equations; rough approximations; symmetric boundaries; truncated procedures", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Kuo:1986:CMD, author = "Lynn Kuo", title = "Computations of mixtures of {Dirichlet} processes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "60--71", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62-04", MRnumber = "819 457", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240G (Monte Carlo methods); B0240Z (Other topics in statistics); C1140G (Monte Carlo methods); C1140Z (Other topics in statistics)", corpsource = "Dept. of Appl. Math. and Stat., State Univ. of New York, Stony Brook, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "a posteriori error bound; a priori error bound; Bayes estimators; Bayes methods; Dirichlet process mixtures; error analysis; importance sampling Monte Carlo method; jackknife error estimators; Monte Carlo methods; multidimensional-integral ratios; one-dimensional-integral products; random group error estimates; weighted average", treatment = "T Theoretical or Mathematical", } @Article{Clark:1986:FAH, author = "D. I. Clark and M. R. Osborne", title = "Finite algorithms for {Huber}'s ${M}$-estimator", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "72--85", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J05 (62F35 65F20 65U05)", MRnumber = "87h:62116", MRreviewer = "Wolfgang Wetterling", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other topics in statistics); C1220 (Simulation, modelling and identification); C4240 (Programming and algorithm theory)", corpsource = "Sch. of Inf. Sci., Canberra Coll. of Adv. Educ., ACT, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm theory; constructive procedures; continuation parameter; finite algorithms; Huber's M-estimator; parameter estimation; scaling factor; tuning constant", treatment = "T Theoretical or Mathematical", } @Article{Shanno:1986:NMR, author = "David F. Shanno and David M. Rocke", title = "Numerical methods for robust regression: linear models", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "86--97", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J05 (62F35 65F20)", MRnumber = "87f:62130", MRreviewer = "Wolfgang Wetterling", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1140Z (Other topics in statistics); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Graduate Sch. of Adm., California Univ., Davis, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "auxiliary scale estimate; biweight loss function; Huber loss function; Huber-Dutter algorithm; iterative methods; iteratively reweighted least squares method; large residuals; least squares approximations; linear models; median absolute residual; Newton's method; numerical methods; robust regression; statistical analysis; superlinear convergence; Winsorized residual variance", treatment = "T Theoretical or Mathematical", } @Article{Bozzini:1986:NMO, author = "Mira Bozzini and Flavia {de Tisi} and Licia Lenarduzzi", title = "A new method in order to determine the most significant members within a large sample, in problems of surface approximation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "98--104", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62G05 (62-07)", MRnumber = "819 460", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290F (Interpolation and function approximation); C1140Z (Other topics in statistics); C4130 (Interpolation and function approximation)", corpsource = "Istituto Matematico, Milano Univ., Italy", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "domains of influence; function approximation; local analysis; most significant members; statistical analysis; subsample determination, significance hierarchy; surface approximation", treatment = "T Theoretical or Mathematical", } @Article{Womersley:1986:CDL, author = "R. S. Womersley", title = "Censored discrete linear $\ell_1$ approximation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "105--122", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C30 (62J07)", MRnumber = "87i:90265", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1140Z (Other topics in statistics); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Math. Sci. Res. Centre, Australian Nat. Univ., Canberra, NSW, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "censored linear l/sub 1/ approximation problem; discrete approximation; function approximation; generalised gradient; linear programming; minimisation; nonconvex piecewise linear function minimisation; reduced gradient algorithm; regression models; restricted dependent-variable range; stable finite direct descent method; statistical analysis; strict local minimiser", treatment = "T Theoretical or Mathematical", } @Article{Cybenko:1986:CME, author = "George Cybenko and Charles {Van Loan}", title = "Computing the minimum eigenvalue of a symmetric positive definite {Toeplitz} matrix", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "123--131", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (94A12)", MRnumber = "87b:65042", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Tufts Univ., Medford, MA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bisection; eigenvalues and eigenfunctions; Levinson--Durbin algorithm; matrix algebra; minimum eigenvalue; Newton's method; smallest eigenvalue; symmetric positive definite Topelitz matrix", treatment = "T Theoretical or Mathematical", } @Article{Streit:1986:SSC, author = "Roy L. Streit", title = "Solution of systems of complex linear equations in the $\ell_\infty$ norm with constraints on the unknowns", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "132--149", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (49D39 65K05 90C50)", MRnumber = "87h:65054", MRreviewer = "Uwe Zimmermann", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Oper. Res., Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Chebyshev approximation; Chebyshev norm; complex function approximation; complex linear equations; computation time; computer storage requirements; convex constraints; function approximation; l/sub infinity / norm; linear algebra; linear program; linear programming; maximum magnitude residual", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Higham:1986:EAC, author = "Nicholas J. Higham", title = "Efficient algorithms for computing the condition number of a tridiagonal matrix", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "150--165", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35 (65F05)", MRnumber = "87b:65053", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Manchester Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; condition number; LINPACK routine; matrix algebra; positive definite tridiagonal linear system; SPTSL; tridiagonal matrix", treatment = "T Theoretical or Mathematical", } @Article{Barlow:1986:NMS, author = "J. L. Barlow", title = "A note on monitoring the stability of triangular decomposition of sparse matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "166--168", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65F50)", MRnumber = "87d:65030", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational cost; convergence of numerical methods; Gaussian elimination; linear algebra; numerical instability bounds; numerical stability monitoring; sparse matrices; triangular decomposition", treatment = "T Theoretical or Mathematical", } @Article{Flury:1986:ASO, author = "Bernhard N. Flury and Walter Gautschi", title = "An algorithm for simultaneous orthogonal transformation of several positive definite symmetric matrices to nearly diagonal form", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "169--184", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (62H25)", MRnumber = "87g:65061", MRreviewer = "John Todd", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290F (Interpolation and function approximation); B0290H (Linear algebra); C1140Z (Other topics in statistics); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Stat., Berne Univ., Switzerland", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "characteristic vectors; common principal components; iterative algorithm; iterative methods; matrix algebra; maximum likelihood estimates; nearly diagonal form; positive definite symmetric matrices; simultaneous orthogonal transformation; statistical analysis", treatment = "T Theoretical or Mathematical", } @Article{Kaagstrom:1986:RAC, author = "Bo K{\aa}gstr{\"o}m", title = "{RGSVD}---an algorithm for computing the {Kronecker} structure and reducing subspaces of singular ${A}-\lambda {B}$ pencils", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "185--211", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (15A22)", MRnumber = "87b:65050", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. of Inf. Process., Umea Univ., Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "cosine-sine decompositions; equivalence transformations; infinite eigenvalues; iterative methods; Kronecker canonical form; Kronecker structure; matrix algebra; matrix pencil; partitioned orthonormal matrices; reducing subspaces; reiterating generalised singular value decomposition; RGSVD; right Kronecker indices; zero eigenvalues; zero structure", treatment = "T Theoretical or Mathematical", } @Article{Byers:1986:HA, author = "Ralph Byers", title = "A {Hamiltonian} ${\rm {QR}}$ algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "212--229", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F25", MRnumber = "87e:65025", MRreviewer = "R. P. Tewarson", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1330 (Optimal control); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math. Sci., Northern Illinois Univ., DeKalb, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence acceleration; convergence of numerical methods; Hamiltonian matrices; Hamiltonian Q R algorithm; Hamiltonian-Schur decomposition; Hessenberg-like condensed form; implicit double shift technique; iteration; iterative methods; matrix algebra; numerical stability; optimal control; permuted triangular matrix; scalar shift; single input control systems; unitary symplectic similarity transformations; variant Q R algorithm", treatment = "T Theoretical or Mathematical", } @Article{Glimm:1986:FTA, author = "J. Glimm and O. McBryan and R. Menikoff and D. H. Sharp", title = "Front tracking applied to {Rayleigh--Taylor} instability", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "230--251", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76E15 (76-08)", MRnumber = "87c:76065", MRreviewer = "Ky{\^u}ya Masuda", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4720 (Hydrodynamic stability and instability)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "fingering instability; flow instability; front tracking; heterogeneity; numerical solution; partial differential equations; Rayleigh--Taylor instability; sharp interfaces; two-fluid incompressible Euler equation; zero numerical diffusion", treatment = "T Theoretical or Mathematical", } @Article{Marshall:1986:FTM, author = "Guillermo Marshall", title = "A front tracking method for one-dimensional moving boundary problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "252--263", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99 (76-08 76T05)", MRnumber = "87c:65127", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "front tracking method; heat transfer; implicit time discretisation; initial value problems; numerical solution; one-dimensional moving boundary problems; one-dimensional Stafan problems; ordinary differential initial-value problem; parabolic partial differential equation; partial differential equations; predictor-corrector methods; predictor-corrector scheme; temperature distribution; variable time step procedure", treatment = "T Theoretical or Mathematical", } @Article{Hennart:1986:GFN, author = "J. P. Hennart", title = "A general family of nodal schemes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "264--287", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (82A75)", MRnumber = "87a:65181", MRreviewer = "A. O. Garder", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "IIMAS, Univ. Nacional Autonoma de Mexico, Mexico City, Mexico", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "alternating direction; convergence; convergence of numerical methods; difference equations; finite difference methods; finite element analysis; integration; nodal schemes; nonconforming finite element framework; numerical quadrature; partial differential equations; transverse integration", treatment = "T Theoretical or Mathematical", } @Article{Phillips:1986:FDS, author = "T. N. Phillips and M. E. Rose", title = "A finite difference scheme for the equilibrium equations of elastic bodies", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "288--300", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05 (73-08)", MRnumber = "87b:65170", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340D (Mathematical theory of elasticity)", corpsource = "ICASE, NASA Langely Res. Center, Hampton, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "difference equations; direct methods; elastic bodies; elasticity; equilibrium equations; finite difference scheme; first order system; iterative techniques; partial differential equations; PDEs", treatment = "T Theoretical or Mathematical", } @Article{Smooke:1986:FAS, author = "M. D. Smooke and M. L. Koszykowski", title = "Fully adaptive solutions of one-dimensional mixed initial-boundary value problems with applications to unstable problems in combustion", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "301--321", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M10 (80A25)", MRnumber = "87c:65113", MRreviewer = "M. M. Sussman", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Mech. Eng., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive grid methods; combustion; difference equations; error analysis; finite difference method; fully adaptive method; initial value problems; local error per unit step; one-dimensional mixed initial-boundary value problems; partial differential equations; time differencing method; tolerance; unstable problems", treatment = "T Theoretical or Mathematical", } @Article{Pruess:1986:ISC, author = "Steven Pruess", title = "Interpolation schemes for collocation solutions of two-point boundary value problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "322--333", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10", MRnumber = "87j:65093", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math. and Stat., New Mexico Univ., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accuracy; boundary-value problems; collocation solutions; convergence; convergence of numerical methods; differential equations; Gauss--Legendre colocation algorithm; interpolate superconvergent values; interpolation; interpolatory approximations; number of operations; spline interpolation; stability; storage requirements; two point boundary value problems", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Watts:1986:SIA, author = "H. A. Watts and L. F. Shampine", title = "Smoother interpolants for {Adams} codes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "334--345", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65D05)", MRnumber = "87h:65123", MRreviewer = "M. M. Chawla", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Div. of Appl. Math., Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Adams codes; differential equations; globally continuous approximations; initial value problems; interpolation; mathematical continuity; ODE methods; past values; polynomial interpolants; smooth interpolation", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Dongarra:1986:IDL, author = "Jack J. Dongarra and Tom Hewitt", title = "Implementing dense linear algebra algorithms using multitasking on the {Cray X-MP-4} (or approaching the gigaflop)", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "347--350", month = jan, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65Fxx)", MRnumber = "87c:65170", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C7310 (Mathematics computing)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cholesky decomposition; Cray X-MP-4; dense linear algebra algorithms; L U decomposition; linear algebra; multiprogramming; small-grain multitasking", treatment = "X Experimental", } @Article{Yang:1986:DMC, author = "Zhong Hua Yang and H. B. Keller", title = "A direct method for computing higher order folds", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "351--361", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "58C27 (65J15 80A25)", MRnumber = "87h:58023", MRreviewer = "J{\"u}rgen Scheurle", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Math., Shanghai Univ. of Sci. and Technol., China", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "direct method; higher order folds computing; nonlinear equations; parameter-dependent nonlinear problems; thermal ignition problems", treatment = "T Theoretical or Mathematical", } @Article{Shearer:1986:NAA, author = "J. M. Shearer and M. A. Wolfe", title = "A note on the algorithm of {Alefeld} and {Platz{\"o}der} for systems of nonlinear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "362--369", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (47H17)", MRnumber = "87j:65063", MRreviewer = "A. M. Galperin", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Appl. Math., St. Andrews Univ., Fife, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Krawczyk-Moore algorithm; MAP; nonlinear algebraic equations; nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Pyzalski:1986:CDN, author = "R. Pyzalski and M. Vala", title = "Conversion of decimal numbers to irreducible rational fractions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "370--377", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "11Y65 (11J70)", MRnumber = "87h:11131", MRreviewer = "J. D. Dixon", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0210 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Chem., Florida Univ., Gainesville, FL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computer program; continued fraction expansion; decimal numbers; irreducible rational fractions; number theory; single-valued way", treatment = "T Theoretical or Mathematical", } @Article{Chan:1986:UIL, author = "Tony F. Chan and Kenneth R. Jackson", title = "The use of iterative linear-equation solvers in codes for large systems of stiff {IVP}s for {ODE}s", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "378--417", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65V05)", MRnumber = "87e:65040", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "codes; initial value problems; iterative linear-equation solvers; iterative methods; large sparse Jacobians; large sparse systems; large systems; linear algebraic equations; linear differential equations; stiff initial value problems; stiff ordinary differential equations", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Maier:1986:ASM, author = "Maximilian R. Maier", title = "An adaptive shooting method for singularly perturbed boundary value problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "418--440", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10", MRnumber = "87e:65049", MRreviewer = "Siegfried Filippi", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Math. Inst., Tech. Univ. Munchen, West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive shooting method; boundary-value problems; differential equations; numerical solution; perturbation theory; physical theory; semiconducting devices; singularly perturbed boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Schreiber:1986:SES, author = "R. Schreiber", title = "Solving eigenvalue and singular value problems on an undersized systolic array", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "441--451", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4290 (Other computer theory)", corpsource = "Guiltech Res. Co., Sunnyvale, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "cellular arrays; eigenvalue; eigenvalues and eigenfunctions; parallel processing; singular value problems; undersized systolic array", treatment = "T Theoretical or Mathematical", } @Article{Luk:1986:RMC, author = "Franklin T. Luk", title = "A rotation method for computing the ${QR}$-decomposition", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "452--459", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65F30)", MRnumber = "87d:65151", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4290 (Other computer theory)", corpsource = "Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "cellular arrays; m* n matrix; n* n matrix; O( n/sup 2/) processors; parallel method; parallel processing; QR decomposition computing; rotation method", treatment = "T Theoretical or Mathematical", } @Article{George:1986:ORS, author = "Alan George and Esmond Ng", title = "Orthogonal reduction of sparse matrices to upper triangular form using {Householder} transformations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "460--472", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50", MRnumber = "87d:65050", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Householder transformations; least squares approximations; numerical computation; orthogonal reduction; sparse matrices; static data structure; upper triangular form", treatment = "T Theoretical or Mathematical", } @Article{OLeary:1986:CII, author = "Dianne P. O'Leary and Bert W. Rust", title = "Confidence intervals for inequality-constrained least squares problems, with applications to ill-posed problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "473--489", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J05 (62F25 65U05)", MRnumber = "87h:62123", MRreviewer = "Kenneth N. Berk", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Div. 711, NBS, Gaithersburg, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "confidence intervals; distributed error vector; ill-posed problems; inequality-constrained least squares problems; integral equations; least squares approximations; multivariate statistics", treatment = "T Theoretical or Mathematical", } @Article{Adams:1986:SCB, author = "Loyce M. Adams and Harry F. Jordan", title = "Is {SOR} color-blind?", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "490--506", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65N20 65W05)", MRnumber = "87i:65039", MRreviewer = "W. Niethammer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Comput. Applications in Sci. and Eng., Hampton, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "5-point stencil; eigenvalues; eigenvalues and eigenfunctions; iterative methods; natural rowwise ordering; parallel computers; parallel processing; Poisson's equation; Red/Black ordering; successive overrelaxation iterative method", treatment = "T Theoretical or Mathematical", } @Article{Yip:1986:NSS, author = "E. L. Yip", title = "A note on the stability of solving a rank-$p$ modification of a linear system by the {Sherman--Morrison--Woodbury} formula", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "507--513", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35", MRnumber = "87d:65048", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Boeing Aerosp. Co., Seattle, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "linear system; matrix algebra; rank-p modification; Sherman--Morrison--Woodbury formula; stability", treatment = "T Theoretical or Mathematical", } @Article{Joe:1986:DTM, author = "Barry Joe", title = "{Delaunay} triangular meshes in convex polygons", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "514--539", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "68U05 (52-04 65-04 68Q25)", MRnumber = "87e:68107", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational geometry; convex polygons; Delaunay triangular meshes; difference equations; finite element triangulation; time complexity", treatment = "T Theoretical or Mathematical", } @Article{Bank:1986:PMG, author = "Randolph E. Bank and Tony F. Chan", title = "{PLTMGC}: a multi-grid continuation program for parameterized nonlinear elliptic systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "540--559", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30", MRnumber = "87d:65125", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Dept. of Math., California Univ., San Diego, La Jolla, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive mesh refinement strategy; bifurcation points; boundary-value problems; eigenvalues and eigenfunctions; fixed parameter values; linear eigenvalue problem; multi-grid continuation program; nonlinear differential equations; parameterized nonlinear elliptic systems; PLTMGC; scalar parameter; software packages; turning points", treatment = "T Theoretical or Mathematical", } @Article{Lin:1986:NSF, author = "Yih-Yih Lin", title = "Numerical solutions for flow in a partially filled, rotating cylinder", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "560--570", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (76D05)", MRnumber = "87d:76010", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Gearhart Ind. Inc., Austin, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "difference equations; finite elements; flow simulation; four-node isoparametric bilinear elements; free boundary; interpolations; isoparametric biquadratic elements; least squares approximations; least-squares method; partially filled cylinder; periodic cubic splines; perturbation methods; pressure; rotating cylinder; rotational flow; splines (mathematics); surface tension; velocity; viscous flow", treatment = "T Theoretical or Mathematical", } @Article{Scandrett:1986:ALA, author = "C. L. Scandrett and G. A. Kriegsmann and J. D. Achenbach", title = "Application of the limiting amplitude principle to elastodynamic scattering problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "571--590", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "73D25", MRnumber = "87d:73016", MRreviewer = "D. R. Bland", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0340K (Waves and wave propagation: general mathematical aspects)", corpsource = "Dept. of Eng. Sci. and Appl. Math., Northwestern Univ., Evanston, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "elastic waves; elastodynamic scattering problems; exterior domains; limiting amplitude principle; numerical methods; plane wave scattering; scattering; two-dimensional time harmonic equations", treatment = "T Theoretical or Mathematical", } @Article{Lattanzio:1986:CP, author = "J. C. Lattanzio and J. J. Monaghan and H. Pongracic and Schwarz and M. P.", title = "Controlling penetration", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "591--598", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4740K (Supersonic and hypersonic flows); A4740N (Shock-wave interactions)", corpsource = "Dept. of Math., Monash Univ., Clayton, Vic., Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "artificial viscosity; gas clouds; high Mach number collision; hypersonic flow; Mach number; particle methods; particle streaming; penetration controlling; shock waves", treatment = "T Theoretical or Mathematical", } @Article{Eilbeck:1986:PSM, author = "J. C. Eilbeck", title = "The pseudo-spectral method and path following in reaction-diffusion bifurcation studies", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "599--610", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N35 (35K20)", MRnumber = "87i:65195", MRreviewer = "A. Quarteroni", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Center for Nonlinear Studies, Los Alamos Nat. Lab., NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary value problem; boundary-value problems; cubic polynomial; partial differential equations; path following; polynomials; problem parameters; pseudo-spectral method; reaction-diffusion bifurcation studies; steady-state solutions", treatment = "T Theoretical or Mathematical", } @Article{Dierckx:1986:SAB, author = "P. Dierckx", title = "The spectral approximation of bicubic splines on the sphere", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "611--623", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "41A15 (33A45 65D07)", MRnumber = "87h:41019", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Katholieke Univ. Leuven, Heverlee, Belgium", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; arbitrarily scattered points; bicubic splines; discrete function; latitude-longitude grid; spectral analysis; spectral approximation; sphere; spherical harmonic coefficients; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Buneman:1986:CFF, author = "Oscar Buneman", title = "Conversion of {FFT}s to fast {Hartley} transforms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "624--638", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65T05 (65R10 94A11)", MRnumber = "833 926", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Electr. Eng., Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computer programs; fast Fourier transforms; fast Hartley transforms; floating point operations; Fortran version", treatment = "T Theoretical or Mathematical", } @Article{Dyn:1986:NPS, author = "Nira Dyn and David Levin and Samuel Rippa", title = "Numerical procedures for surface fitting of scattered data by radial functions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "639--659", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10", MRnumber = "87h:65029", MRreviewer = "J. G. Herriot", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Sch. of Math. Sci., Tel-Aviv Univ., Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computer capacity; global interpolation methods; interpolation; iterative methods; iterative schemes; numerical procedures; radial functions; scattered data; splines; splines (mathematics); surface fitting; two-dimensional domain", treatment = "T Theoretical or Mathematical", } @Article{Niederreiter:1986:LSQ, author = "Harald Niederreiter and Paul Peart", title = "Localization of search in {quasi-Monte Carlo} methods for global optimization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "660--664", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C05 (65K10 90C30)", MRnumber = "87h:65017", MRreviewer = "A. S. Rasulov", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240G (Monte Carlo methods); B0260 (Optimisation techniques)C1140G (Monte Carlo methods); C1180 (Optimisation techniques)", corpsource = "Math. Inst., Austrian Acad. of Sci., Vienna, Austria", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "function evaluations; global optimization; Monte Carlo methods; multivariable functions; optimisation; quasi-Monte Carlo methods; Quasi-random search methods; search localisation", treatment = "T Theoretical or Mathematical", } @Article{McDonald:1986:PST, author = "John Alan McDonald", title = "Periodic smoothing of time series", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "665--688", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62M10", MRnumber = "833 929", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Linear Accelerator Center, Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational geometry; computational methods; data analysis; graphic methods; interactive computer graphics workstations; Orion I workstation; Orion project; periodic variation; series (mathematics)", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Brown:1986:DFP, author = "Robert H. Brown", title = "The distribution function of positive definite quadratic forms in normal random variables", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "689--695", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62H10", MRnumber = "88b:62100", MRreviewer = "Yasuko Chikuse", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "McNeil Pharm., Spring House, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computation theory; computational algorithms; distribution function; normal random variables; polynomials; positive definite quadratic forms; test statistics", treatment = "T Theoretical or Mathematical", } @Article{Coughran:1986:VDS, author = "William M. {Coughran, Jr.} and Eric Grosse and Donald J. Rose", title = "Variation diminishing splines in simulation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "696--705", month = apr, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07 (41A15)", MRnumber = "87d:65020", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B1130B (Computer-aided circuit analysis and design); B2560B (Semiconductor device modelling and equivalent circuits); C4130 (Interpolation and function approximation); C7410D (Electronic engineering computing)", corpsource = "AT and T Bell Labs., Murray Hill, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "active elements; circuit CAD; circuit simulation; Cray-1A; minima; modeling; quadratic tensor product splines; semiconductor device models; simulation; splines (mathematics); variation diminishing splines", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Dyksen:1986:ISH, author = "Wayne R. Dyksen and John R. Rice", title = "The importance of scaling for the {Hermite} bicubic collocation equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "707--719", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35 (65F05 65G05)", MRnumber = "87i:65068", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "a priori scaling rule; elliptic partial differential equations; Gauss elimination; Gaussian elimination; geometry; Hermite bicubic collocation equations; linear algebra; linear equations; ordering used; partial differential equations; round-off problems; roundoff errors; scaled partial pivoting", treatment = "T Theoretical or Mathematical", } @Article{Petzold:1986:NSN, author = "Linda Petzold and Per L{\"o}tstedt", title = "Numerical solution of nonlinear differential equations with algebraic constraints. {II}. Practical implications", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "720--733", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (58F99)", MRnumber = "87j:65079", MRreviewer = "Eugene Allgower", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Div. of Comput. Res. and Dev., Lawrence Livermore Nat. Lab., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algebraic constraints; constrained mechanical systems; convergence of numerical methods; convergence tests; error analysis; error tests; fluid dynamics; linear algebra; matrix ill-conditioning; nonlinear differential equations; numerical ODE methods; variable-stepsize backward differentiation formulae", treatment = "T Theoretical or Mathematical", } @Article{Gear:1986:MSI, author = "C. W. Gear", title = "Maintaining solution invariants in the numerical solution of {ODE}s", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "734--743", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99", MRnumber = "87h:65171", MRreviewer = "I. Norman Katz", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Illinois Univ., Urbana, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "chemical kinetic problems; differential equations; equality invariants; inequality invariants; multistep methods; numerical consistency; numerical methods; numerical solution; ODEs; one-step methods; solution invariants", treatment = "T Theoretical or Mathematical", } @Article{Ben-Artzi:1986:USO, author = "Matania Ben-Artzi and Joseph Falcovitz", title = "An upwind second-order scheme for compressible duct flows", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "744--768", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M25 (76-08)", MRnumber = "88a:65107", MRreviewer = "B. M. Herbst", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4740 (Compressible flows; A4740N (Shock-wave interactions); A4755E (Nozzles); A4760 (Flows in ducts, channels, and conduits); shock and detonation phenomena)", corpsource = "Dept. of Math., Tech.-Israel Inst. of Technol., Haifa, Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "channel flow; compressible duct flows; compressible flow; cylindrical converging shock problem; generalised Riemann problem; inviscid flow; monotonicity algorithm; nozzles; one space dimension; partial differential equations; pipe flow; quasi 1-D nozzle problem; shock waves; sonic lines; time-dependent flow; upwind second-order scheme", treatment = "T Theoretical or Mathematical", } @Article{Bartels:1986:GTP, author = "Richard H. Bartels and Nezam Mahdavi-Amiri", title = "On generating test problems for nonlinear programming algorithms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "769--798", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C30", MRnumber = "87h:90190", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "least squares approximations; nonlinear constraints; nonlinear programming; nonlinear programming algorithms; nonlinear-least-squares structure; test problem generation; testing", treatment = "T Theoretical or Mathematical", } @Article{Golub:1986:CBS, author = "G. H. Golub and P. Manneback and Ph. L. Toint", title = "A comparison between some direct and iterative methods for certain large scale geodetic least squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "799--816", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65U05)", MRnumber = "87g:65063", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A0630C (Spatial variables measurement); A9110B (Mathematical geodesy: general theory); A9385 (Instrumentation and techniques for geophysical, hydrospheric and lower atmosphere research); B0290F (Interpolation and function approximation); B6330 (Radionavigation and direction finding); B7320C (Spatial variables measurement); C4130 (Interpolation and function approximation); C7340 (Geophysics computing)", corpsource = "Dept. of Comput. Sci., Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conjugate gradient type algorithms; CPU time; direct orthogonal decomposition; Doppler effect; Doppler positioning; geodesy; geophysical techniques; geophysics computing; input/output; iterative methods; large dimensional linear least squares problems; large scale geodetic least squares problems; least squares approximations; numerical methods; position measurement; projections; Property A; satellites; storage requirements", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Morgan:1986:GDM, author = "Ronald B. Morgan and David S. Scott", title = "Generalizations of {Davidson}'s method for computing eigenvalues of sparse symmetric matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "817--825", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65F35 65F50)", MRnumber = "87g:65056", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Texas Univ., Austin, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "eigenpairs; eigenvalues; eigenvalues and eigenfunctions; generalised Davidson's method; matrix algebra; preconditioning techniques; sparse symmetric matrices", treatment = "T Theoretical or Mathematical", } @Article{Hanson:1986:LLS, author = "R. J. Hanson", title = "Linear least squares with bounds and linear constraints", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "826--834", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Div. of Appl. Math., Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algebraic equations; least squares approximations; linear algebra; linear equality constraints; linear inequality constraints; linear least squares systems; penalty function; simple bounds", treatment = "T Theoretical or Mathematical", } @Article{Varah:1986:GFM, author = "J. M. Varah", title = "A generalization of the {Frank} matrix", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "835--839", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "87h:65071", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "defective matrix; eigensystem; eigenvalues and eigenfunctions; generalised Frank matrix; ill-conditioned eigenvalues; matrix algebra; perturbation; perturbation techniques", treatment = "T Theoretical or Mathematical", } @Article{Elman:1986:HCK, author = "Howard C. Elman and Youcef Saad and Paul E. Saylor", title = "A hybrid {Chebyshev Krylov} subspace algorithm for solving nonsymmetric systems of linear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "840--855", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F10)", MRnumber = "87g:65062", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Arnoldi's method; Chebyshev approximation; conjugate gradient-like method; convergence; convergence of numerical methods; eigenvalue estimates; eigenvalues and eigenfunctions; hybrid Chebyshev Krylov subspace algorithm; iterative method; iterative methods; large sparse nonsymmetric linear systems; linear algebra; linear equations; Manteuffel's adaptive Chebyshev method", treatment = "T Theoretical or Mathematical", } @Article{Saad:1986:GGM, author = "Youcef Saad and Martin H. Schultz", title = "{GMRES}: a generalized minimal residual algorithm for solving nonsymmetric linear systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "856--869", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F10)", MRnumber = "87g:65064", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Arnoldi process; asymmetric linear systems; generalized conjugate residual method; generalized minimal residual algorithm; GMRES; iterative method; iterative methods; Krylov subspace; linear algebra; MINRES algorithm; nonsymmetric linear systems; ORTHODIR", treatment = "T Theoretical or Mathematical", } @Article{vanKan:1986:SOA, author = "J. {van Kan}", title = "A second-order-accurate pressure-correction scheme for viscous incompressible flow", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "870--891", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (65M20)", MRnumber = "87h:76008", MRreviewer = "P. C. Jain", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods)", corpsource = "Tech. Hogeschool Delft, Delft Univ. of Technol., Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "flow simulation; second-order-accurate pressure-correction scheme; time-dependent flow; viscous incompressible flow", treatment = "T Theoretical or Mathematical", } @Article{Elden:1986:ASA, author = "L. Elden and R. Schreiber", title = "An application of systolic arrays to linear discrete ill-posed problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "892--903", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Linkoping Univ., Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "banded matrix; cellular arrays; computation time; computational complexity; linear algebra; linear discrete ill-posed problems; parallel processing; plane rotations; QR-decomposition; systolic arrays; Tikhonov--Phillips regularisation method", treatment = "T Theoretical or Mathematical", } @Article{Berger:1986:DSA, author = "M. J. Berger", title = "Data structures for adaptive grid generation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "904--916", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4170 (Differential equations); C6120 (File organisation)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive grid generation; adaptive mesh refinement; automatic grid generation algorithms; data structures; difference equations; difference schemes; grid management; nearest neighbor properties; partial differential equations; Trees; trees (mathematics)", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Coffey:1986:ACD, author = "Mark Coffey and John Greenstadt and Alan Karp", title = "The application of cell discretization to a {``circle in the square''} model problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "917--939", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65N35)", MRnumber = "87g:65135", MRreviewer = "H. Kersten", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "IBM Corp., Palo Alto Sci. Center, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; cell discretization; circle in the square geometry; convergence of numerical methods; convergence properties; Dirichlet boundary conditions; elliptic partial differential equations; elliptic PDEs; finite difference solutions; Green's function; Laplace's equation; partial differential equations; Poisson's equation", treatment = "T Theoretical or Mathematical", } @Article{Lin:1986:HOT, author = "Avi Lin", title = "High-order three-point schemes for boundary value problems. {I}. Linear problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "940--958", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65L10)", MRnumber = "87j:65149a", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Technion-Israel Inst. of Technol., Haifa, Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; free parameters; initial boundary value problems; initial value problems; linear algebra; linear equations; numerical methods; three point numerical schemes", treatment = "T Theoretical or Mathematical", } @Article{Thune:1986:AGS, author = "Michael Thun{\'e}", title = "Automatic {GKS} stability analysis", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "959--977", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M10 (65N10 65V05)", MRnumber = "848 572", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C7310 (Mathematics computing)", corpsource = "Dept. of Comput. Sci., Uppsala Univ., Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; difference equations; difference methods; fluid dynamics; FORTRAN; GKS stability analysis; Gustafsson-Kreiss-Sundstrom stability analysis; hyperbolic initial boundary value problems; IBSTAB; initial value problems; LISP-F3 interpreter; numerical routines; P-stability; partial differential equations; software system; stable numerical boundary conditions; symbol manipulation; symbolic formula manipulation; user-oriented problem description language; von Neumann stability", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Hagstrom:1986:NCT, author = "Thomas Hagstrom and H. B. Keller", title = "The numerical calculation of traveling wave solutions of nonlinear parabolic equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "978--988", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M05 (35K55)", MRnumber = "88b:65099", MRreviewer = "Nima Geffen", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math. and Stat., State Univ. of New York, Stony Brook, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Fisher's equation; genetics; initial value approach; initial value problems; Laplace transform; linearisation techniques; linearized problems; nonlinear differential equations; nonlinear parabolic equations; numerical simulation; partial differential equations; traveling wave solutions", treatment = "T Theoretical or Mathematical", } @Article{Ehrlich:1986:NSA, author = "L. W. Ehrlich", title = "The numerical {Schwarz} alternating procedure and {SOR}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "989--993", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Appl. Phys. Lab., Johns Hopkins Univ., Laurel, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "block SOR technique; Dirichlet problems; eigenvalue; eigenvalues and eigenfunctions; Laplace's equation; matrix algebra; numerical methods; numerical Schwarz alternating procedure; power method", treatment = "T Theoretical or Mathematical", } @Article{Griffiths:1986:SMM, author = "D. F. Griffiths and J. M. Sanz-Serna", title = "On the scope of the method of modified equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "994--1008", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65L10 65M05 65M10)", MRnumber = "87g:65086", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., Dundee Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; difference equations; error analysis; local truncation errors; modified equations; roundoff errors; stability", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Young:1986:EPS, author = "David P. Young and Alex C. Woo and John E. Bussoletti and Forrester T. Johnson", title = "An exterior {Poisson} solver using fast direct methods and boundary integral equations with applications to nonlinear potential flow", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "1009--1021", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N35 (76-08)", MRnumber = "848 575", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4740 (Compressible flows; C4110 (Error analysis in numerical methods); C4170 (Differential equations); C4180 (Integral equations); C4240 (Programming and algorithm theory); C7460 (Aerospace engineering computing); shock and detonation phenomena)", corpsource = "Boeing Comput. Services Co., Tubwila, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "aerodynamics; aerospace computing; boundary integral equations; boundary irregularities; boundary-value problems; computational aerodynamics; computational complexity; corners; error analysis; error estimates; exterior Poisson solver; fast direct methods; integral equations; irregular exterior regions; nonlinear potential flow; partial differential equations; Poisson's equation; preconditioned conjugate gradient; two-dimensional lifting airfoil", treatment = "T Theoretical or Mathematical", } @Article{Knusel:1986:CCS, author = "Leo Kn{\"u}sel", title = "Computation of the chi-square and {Poisson} distribution", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "1022--1036", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62-04", MRnumber = "848 576", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); C1140Z (Other topics in statistics)", corpsource = "Inst. fur Stat. und Wissenschaftstheor., Munchen Univ., West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic expansions; beta distribution; binomial distribution; central limit theorem; chi-square distribution; elementary statistical distributions; F-distribution; general gamma distribution; hypergeometric distribution; lower tail probabilities; open backward recursion; open forward recursion; Poisson distribution; probability; statistics; upper tail probabilities", treatment = "T Theoretical or Mathematical", } @Article{Flick:1986:GMC, author = "Thomas E. Flick and Lee K. Jones", title = "A generalization of the method of correlated sampling for numerical integration", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "1037--1040", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D30", MRnumber = "848 577", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other topics in statistics); B0290F (Interpolation and function approximation); B0290M (Numerical integration and differentiation); C1140Z (Other topics in statistics); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)", corpsource = "Naval Res. Lab., Washington, DC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "function approximation; generalised correlated sampling; integrand approximation; integration; numerical integration; numerical methods; optimal selective sampling; statistical estimation; statistics", treatment = "T Theoretical or Mathematical", } @Article{Reichel:1986:SCA, author = "Lothar Reichel", title = "Some computational aspects of a method for rational approximation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "1041--1057", month = jul, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65E05 (30E10 65D20)", MRnumber = "87h:65050", MRreviewer = "A. Bultheel", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "analytic functions; basis selection; bounded simply connected complement; complex plane; computational aspects; function approximation; interpolation; numerical methods; rational approximation; space selection", treatment = "T Theoretical or Mathematical", } @Article{Fishman:1986:EEA, author = "George S. Fishman and Louis R. {Moore III}", title = "Erratum: {``An exhaustive analysis of multiplicative congruential random number generators with modulus $2^{31}-1$''}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "1058--1058", month = jul, year = "1986", CODEN = "SIJCD4", DOI = "http://dx.doi.org/10.1137/0907072", ISSN = "0196-5204", MRclass = "65C10", MRnumber = "87g:65010b", MRreviewer = "A. S. Rasulov", bibdate = "Sat Oct 28 08:38:02 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See \cite{Fishman:1986:EAM}.", URL = "http://epubs.siam.org/sisc/resource/1/sjoce3/v7/i3/p1058_s1; http://link.aip.org/link/?SCE/7/1058/1", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Colella:1986:TNS, author = "Phillip Colella and Andrew Majda and Victor Roytburd", title = "Theoretical and numerical structure for reacting shock waves", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1059--1080", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76L05 (80A32)", MRnumber = "87i:76037", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0270 (Computational techniques); A4720 (Hydrodynamic stability and instability); A4740N (Shock-wave interactions); A4770F (Chemically reactive flows)", corpsource = "Dept. of Math., Lawrence Berkeley Lab., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bifurcating wave patterns; chemically reactive flow; compressible flow; computational properties; detonation; dynamically stable weak detonations; flow instability; fractional step methods; inviscid calculations; inviscid hydrodynamic sweep; Navier--Stokes equations; nonphysical discrete travelling waves; numerical properties; precursor weak detonation; reacting compressible Navier--Stokes equations; reacting shock waves; second order Godunov method; shock waves; simplified model equations; spiked nearly Z-N-D detonation; theoretical properties", treatment = "T Theoretical or Mathematical", } @Article{Bolstad:1986:MCM, author = "John H. Bolstad and Herbert B. Keller", title = "A multigrid continuation method for elliptic problems with folds", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1081--1104", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65N25)", MRnumber = "87j:65140", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Lawrence Livermore Nat. Lab., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Brandt frozen tau technique; convergence of numerical methods; convergence rate; eigenvalues and eigenfunctions; elliptic problems with folds; interpolation; interpolations; multigrid continuation method; nonlinear differential equations; nonlinear elliptic eigenvalue problems; parameter correction; partial differential equations; pseudo-arc length continuation; stationary reaction-diffusion problem", treatment = "T Theoretical or Mathematical", } @Article{Jarausch:1986:AGR, author = "Helmut Jarausch", title = "On an adaptive grid refining technique for finite element approximations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1105--1120", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65K10 65M60)", MRnumber = "87k:65137", MRreviewer = "Manfred Dobrowolski", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290D (Functional analysis)C1180 (Optimisation techniques); C4120 (Functional analysis)", corpsource = "Inst. fur Geometrie und Praktische Math., Rheinisch-Westfalische Tech. Hochschule, Aachen, West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive grid refining technique; discrete optimisation; energy functional minimisation; finite element analysis; finite element approximations; functional analysis; optimisation", treatment = "T Theoretical or Mathematical", } @Article{Luk:1986:CCD, author = "F. T. Luk and Sanzheng Qiao", title = "Computing the {CS-decomposition} on systolic arrays", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1121--1125", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; CS-decomposition; Kaplan-Van Loan method; matrix algebra; orthonormal matrix; parallel algorithm; parallel algorithms; space complexity; systolic arrays; time complexity", treatment = "T Theoretical or Mathematical", } @Article{Paige:1986:CGS, author = "C. C. Paige", title = "Computing the generalized singular value decomposition", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1126--1146", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (15A23)", MRnumber = "87i:65055", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., McGill Univ., Montreal, Que., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; CS decomposition; generalized singular value decomposition; iterative methods; iterative sequence of cycles; matrix algebra; parallel algorithms; quadratic convergence; systolic array processors; unitary matrix", treatment = "T Theoretical or Mathematical", } @Article{Heath:1986:CSV, author = "M. T. Heath and A. J. Laub and C. C. Paige and R. C. Ward", title = "Computing the singular value decomposition of a product of two matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1147--1159", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (15A23)", MRnumber = "87h:65075", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Div. of Eng. Phys. and Math., Oak Ridge Nat. Lab., Oak Ridge, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Jacobi-like method; Kogbetliantz method; matrix algebra; plane rotations; product of two matrices; singular value decomposition; triangular method", treatment = "T Theoretical or Mathematical", } @Article{Higham:1986:CPD, author = "Nicholas J. Higham", title = "Computing the polar decomposition---with applications", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1160--1174", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F25 (15A21 65F30 65F35)", MRnumber = "87m:65064", MRreviewer = "Sudhangshu B. Karmakar", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Manchester Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "aerospace computations; best Hermitian positive semidefinite approximation; convergence acceleration; convergence of numerical methods; factor analysis; full-rank matrix; Hermitian polar factor; matrix algebra; optimisation; perturbation bounds; polar decomposition; quadratically convergent Newton method; square root of a symmetric positive definite matrix", treatment = "T Theoretical or Mathematical", } @Article{Zlatev:1986:CNE, author = "Zahari Zlatev and Jerzy Wa\'sniewski and Kjeld Schaumburg", title = "Condition number estimators in a sparse matrix software", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1175--1189", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35 (15A12 65F50)", MRnumber = "857 789", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C7310 (Mathematics)", corpsource = "Air Pollution Lab., Riso Nat. Lab., Roskilde, Denmark", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "condition number estimators; convergence of numerical methods; drop-tolerance; mathematics computing; matrix algebra; pivotal strategies; reliability; software packages; sparse matrix software; stability; Y12M", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Liu:1986:GRM, author = "Joseph W. H. Liu", title = "On general row merging schemes for sparse {Givens} transformations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1190--1211", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (15A23)", MRnumber = "87k:65054", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., York Univ., Downsview, Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "column ordering; general row merging schemes; George-Heath scheme; matrix algebra; QR decomposition; sparse Givens transformations; sparse matrices; upper trapezoidal full submatrices; variable row pivoting method; working storage", treatment = "T Theoretical or Mathematical", } @Article{Marro:1986:LTI, author = "L. Marro", title = "A linear time implementation of profile reduction algorithms for sparse matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1212--1231", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50", MRnumber = "857 791", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Aerospatiale Cannes, La Bocca, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; data structures; direct methods; frontal increase minimization strategy; Gibb algorithm; King numbering criterion; Levy algorithm; linear system of equations; linear time complexity; matrix algebra; numbering process; profile reduction algorithms; Reverse Cuthill McKee algorithm; Snay algorithm; sparse matrices", treatment = "T Theoretical or Mathematical", } @Article{Buell:1986:OCI, author = "Jeffrey C. Buell", title = "The operator compact implicit method for fourth order ordinary differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1232--1245", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (34A50 34B05)", MRnumber = "87m:65111", MRreviewer = "Abbas I. Abdel-Karim", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Mech. Aerospace and Nucl. Eng., California Univ., Los Angeles, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; centred second order differencing with Richardson extrapolation; convergence; convergence of numerical methods; extrapolation; formal cell Reynolds number limitations; fourth order ordinary differential equations; linear differential equations; linear fourth order two-point boundary value problems with Dirichlet boundary conditions; nonlinear differential equations; nonlinear problems; operator compact implicit method; stability", treatment = "T Theoretical or Mathematical", } @Article{Addison:1986:ISP, author = "C. A. Addison and P. M. Hanson", title = "An investigation into the stability properties of second derivative methods using perfect square iteration matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1246--1264", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L20", MRnumber = "88c:65067", MRreviewer = "W. H. Enright", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Sci. and Technol., C. Michelson Inst., Bergen, Norway", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "absolute stability properties; convergence of numerical methods; differential equations; implicit formula; initial value ODEs; initial value problems; iterative methods; matrix algebra; numerical methods; perfect square iteration matrices; predictor formula; predictor-corrector methods; second derivative methods; stability regions", treatment = "T Theoretical or Mathematical", } @Article{Allgower:1986:CLP, author = "E. L. Allgower and C. S. Chien", title = "Continuation and local perturbation for multiple bifurcations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1265--1281", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65J15 (58C15 58E07)", MRnumber = "89a:65095", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; branching off; difference equations; discretizations; finite differences; finite element analysis; finite elements; gradient maps; linear differential equations; local perturbations; multiple bifurcations; partial differential equations; perturbation techniques; quasilinear elliptic boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Greenstadt:1986:RCB, author = "John Greenstadt", title = "On the reconciliation of clashing boundary conditions in cell discretization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1282--1306", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65N35)", MRnumber = "88f:65198", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Appl. Math. and Theor. Phys., Cambridge Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; cell discretization; clashing boundary conditions; conservation laws; integral equations; integral identities; interface flow balance conditions; natural interface conditions; nullifier; partial differential equations; variational procedure; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Santosa:1986:LIB, author = "Fadil Santosa and William W. Symes", title = "Linear inversion of band-limited reflection seismograms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1307--1330", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "86A15 (49A22)", MRnumber = "87i:86010", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0270 (Computational techniques); A9130 (Seismology); A9385 (Instrumentation and techniques for geophysical, hydrospheric and lower atmosphere research)", corpsource = "Dept. of Theor. and Appl. Mech., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "band-limited reflection seismograms; cost functional; data interpretation; deconvolution; geophysical techniques; linear inversion; optimisation; optimization; reflection seismology; robust profile reconstruction; seismology; signal processing", treatment = "T Theoretical or Mathematical", } @Article{Bruckstein:1986:ISN, author = "A. M. Bruckstein and I. Koltracht and T. Kailath", title = "Inverse scattering with noisy data", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1331--1349", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65G05 (35P25)", MRnumber = "857 797", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B6140 (Signal processing and detection); C1260 (Information theory); C4110 (Error analysis in numerical methods)", corpsource = "Inf. Syst. Lab., Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "error analysis; error propagation; interference (signal); inverse scattering; layer-peeling inversion methods; noisy data; reflection coefficient; signal processing", treatment = "T Theoretical or Mathematical", } @Article{Cohen:1986:SAR, author = "Joel S. Cohen and James A. LaVita", title = "A simple approximate random choice method for scalar conservation laws", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1350--1359", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99 (35L65 76R05)", MRnumber = "857 798", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4710 (General theory, simulation and other computational methods)", corpsource = "Dept. of Math. and Comput. Sci., Denver Univ., CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximate random choice method; approximate Riemann solver; conservation laws; convection; CPU time; Dafermos method; fluid dynamics; numerical method; partial differential equations; scalar conservation laws", treatment = "T Theoretical or Mathematical", } @Article{Sherman:1986:MCM, author = "Arthur S. Sherman and Charles S. Peskin", title = "A {Monte Carlo} method for scalar reaction diffusion equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1360--1372", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C05", MRnumber = "857 799", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240G (Monte Carlo methods); B0290P (Differential equations)C1140G (Monte Carlo methods); C4170 (Differential equations)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence; convergence of numerical methods; creation; destruction; differential equations; Monte Carlo method; Monte Carlo methods; probability interpretation; random processes; random walk; scalar reaction diffusion equations; stochastic process; stochastic processes", treatment = "T Theoretical or Mathematical", } @Article{Hald:1986:CRM, author = "Ole H. Hald", title = "Convergence of a random method with creation of vorticity", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1373--1386", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C20 (65N99 65U05)", MRnumber = "88a:65013", MRreviewer = "Werner R{\"o}misch", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0250 (Probability theory, stochastic processes, and statistics); A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4725Q (Convection and heat transfer); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convection; convergence; convergence of numerical methods; error analysis; free convection near a wall; grid free random walk method; least squares error; pointwise error; random processes; vortices; vorticity creation", treatment = "T Theoretical or Mathematical", } @Article{Fletcher:1986:CEQ, author = "R. Fletcher", title = "Cancellation errors in quasi-{Newton} methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1387--1399", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65G05", MRnumber = "87j:65048", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other and miscellaneous); B0260 (Optimisation techniques); B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C1140Z (Other and miscellaneous); C1180 (Optimisation techniques); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Sci., Dundee Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "cancellation errors; convergence; convergence of numerical methods; error analysis; function approximation; minimisation; probabilistic arguments; probability; quasi-Newton method", treatment = "T Theoretical or Mathematical", } @Article{Gupta:1986:MPQ, author = "P. L. Gupta and J. T. Riley and T. J. White", title = "Misclassification probabilities for quadratic discrimination", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "4", pages = "1400--1417", month = oct, year = "1986", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240G (Monte Carlo methods); B0290F (Interpolation and function approximation); C1140G (Monte Carlo methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Maine Univ., Orono, ME, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "divergence; iterative algorithm; iterative methods; misclassification probabilities; Monte Carlo methods; Monte Carlo studies; p-variate normal populations; quadratic discrimination; separation; statistical analysis", treatment = "T Theoretical or Mathematical", } @Article{Davis:1987:STF, author = "Stephen F. Davis", title = "A simplified {TVD} finite difference scheme via artificial viscosity", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "1--18", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M05 (76-08)", MRnumber = "87m:65125", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0230 (Function theory, analysis); A0270 (Computational techniques); A4710 (General theory, simulation and other computational methods); C4170 (Differential equations)", corpsource = "Naval Surface Weapons Center, Silver Spring, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "artificial viscosity; conservation laws; difference equations; flow modelling; flow simulation; flux limiter; hyperbolic conservation laws; Lax--Wendroff scheme; MacCormack method codes; numerical methods; partial differential equations; simplified total variation diminishing finite difference scheme; Sweby TVD scheme; upwind weighted artificial dissipation term; viscosity", treatment = "T Theoretical or Mathematical", ZMnumber = "689.65058", } @Article{Bjorstad:1987:CMC, author = "Petter Bj{\o}rstad and Eric Grosse", title = "Conformal mapping of circular arc polygons", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "19--32", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "88d:30010", MRreviewer = "G. Opfer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290D (Functional analysis); B0290F (Interpolation and function approximation); B0290P (Differential equations); C4120 (Functional analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Bergen Univ., Norway", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "circular arc polygons; conducting cylinders; conductivity; conformal mapping; differential equations; electrical fields; elliptic partial differential equations; functional analysis; generalised Trefethen method; least squares approximations; nonlinear least squares problem; nonsingular formulation; numerical methods; ordinary differential equation solver; Schwarz--Christoffel program; Schwarzian differential equation; topology; waveguide", treatment = "T Theoretical or Mathematical", } @Article{Kohn:1987:NAS, author = "Robert Kohn and Craig F. Ansley", title = "A new algorithm for spline smoothing based on smoothing a stochastic process", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "33--48", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (62F15 62G99)", MRnumber = "88h:65033", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C4130 (Interpolation and function approximation)", corpsource = "Graduate Sch. of Bus., Chicago Univ., IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Ansley-Kohn method; Bayes methods; Bayesian confidence intervals; conditional expectation; filtering; optimal spline smoothing; polynomial splines; Reinsch algorithm; smoothing; splines (mathematics); state space expression; state-space methods; stochastic process smoothing; stochastic processes; Wahba model", treatment = "T Theoretical or Mathematical", } @Article{Bates:1987:GGN, author = "Douglas M. Bates and Donald G. Watts", title = "A generalized {Gauss--Newton} procedure for multi-response parameter estimation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "49--55", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65U05 (62F10 62J02)", MRnumber = "873 923", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)C4140 (Linear algebra)", corpsource = "Wisconsin Univ., Madison, WI, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximate Hessian; Box-Draper multi-response parameter estimation criterion; convergence criterion; convergence of numerical methods; data analysis; generalized Gauss--Newton procedure; gradient; increment size; iterative methods; iterative procedure; least squares approximations; Levenburg-Marquardt method; matrix algebra; nonlinear least squares; nonlinear optimisation; parameter estimation; Q R decomposition; regularization procedure; residual matrix; statistical analysis; statistical variability", treatment = "T Theoretical or Mathematical", } @Article{Bunch:1987:MLE, author = "D. S. Bunch", title = "Maximum likelihood estimation of probabilistic choice models", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "56--70", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140E (Game theory); C1180 (Optimisation techniques)", corpsource = "Graduate Sch. of Adm., California Univ., Davis, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Batsell-Polking market share model; behavioural science; decision theory; elimination-by-aspects model; generalized regression; individual choice behavior; least-change secant updates; maximum likelihood estimation; model switching; model/trust regions; multinomial logit model; nonlinear optimization; optimisation; parameter estimation; probabilistic choice models; social science", treatment = "T Theoretical or Mathematical", } @Article{Jones:1987:CTS, author = "Richard H. Jones and Peter V. Tryon", title = "Continuous time series models for unequally spaced data applied to modeling atomic clocks", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "71--81", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62M10", MRnumber = "873 924", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C1260 (Information theory)", corpsource = "Dept. of Preventive Med. and Biometrics, Colorado Univ. Health Sci. Center, Denver, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "atomic clock modelling; continuous time-series models; data analysis; data fitting; Kalman filters; multivariate data; state space representations; state-space methods; statistical analysis; time series; unequally spaced data", treatment = "T Theoretical or Mathematical", } @Article{Rubinstein:1987:MVH, author = "Y. R. Rubinstein and G. Samorodnitsky", title = "A modified version of {Handscomb}'s antithetic variates theorem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "82--98", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C05", MRnumber = "88a:65012", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140G (Monte Carlo methods)", corpsource = "Technion-Israel Inst. of Technol., Haifa, Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "arbitrary functions of scalar arguments; exact minimum; Handscomb antithetic variates theorem; Monte Carlo methods; Monte Carlo simulation; optimal cumulative distribution function; response difference", treatment = "T Theoretical or Mathematical", ZMnumber = "663.65002", } @Article{Armstrong:1987:SEM, author = "W. W. Armstrong and T. A. Marsland and M. Olafsson and J. Schaeffer", title = "Solving equations of motion on a virtual tree machine", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S59--S72", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "70B15 (70-04)", MRnumber = "87m:70005", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", acknowledgement = ack-nhfb, classification = "C3390 (Robotics); C4170 (Differential equations); C5470 (Performance evaluation and testing); C7440 (Civil and mechanical engineering)", corpsource = "Dept. of Comput. Sci., Alberta Univ., Edmonton, Alta., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "animation; autonomous VAX-11/780 computers; communication losses; computation time; delays; differential equations; digital simulation; dynamic equations of motion; hinges; link assignment; local area network; mechanical engineering computing; ODEs; parallel algorithm; parallel algorithms; performance evaluation; point-to-point interconnection; process allocation; process synchronisation; real-time simulation; rigid links; robotics; robots; scheduling; Sun-2 workstations; synchronisation; Unix operating system; virtual tree machine", treatment = "X Experimental", } @Article{Bhavsar:1987:DAP, author = "V. C. Bhavsar and J. R. Isaac", title = "Design and analysis of parallel {Monte Carlo} algorithms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S73--S95", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C05 (35J05 65W05)", MRnumber = "873 952", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", acknowledgement = ack-nhfb, classification = "C1140G (Monte Carlo methods); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Sch. of Comput. Sci., New Brunswick Univ., Fredericton, NB, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; dynamic computation assignment; intrinsic parallelism; Laplace equation; linear speedup; MIMD computers; Monte Carlo methods; order statistics; parallel algorithms; parallel Monte Carlo algorithms; partial differential equations; primary estimate computations; queueing theories; SIMD computers; static computation assignment; time complexity analyses", treatment = "T Theoretical or Mathematical", } @Article{Bischof:1987:RPH, author = "Christian Bischof and Charles {Van Loan}", title = "The {$WY$} representation for products of {Householder} matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S2--S13", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65W05)", MRnumber = "88f:65070", MRreviewer = "Michel Cosnard", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput Sci., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "FPS-164/MAX; Householder matrix products; matrix algebra; matrix-matrix multiplication; parallel algorithms; QR factorization; supercomputers; WY representation", treatment = "T Theoretical or Mathematical", xxpages = "S1--S13", ZMnumber = "628.65033", } @Article{Briggs:1987:MFM, author = "W. L. Briggs and L. B. Hart and R. A. Sweet and A. O'Gallagher", title = "Multiprocessor {FFT} methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S27--S42", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods); C5470 (Performance evaluation and testing)", corpsource = "Dept. of Math., Colorado Univ., Denver, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Denelcor HEP computer; experimental timing curves; fast Fourier transforms; multiple FFTs; parallel algorithms; performance evaluation; performance models; program testing; shared memory multiprocessors; single FFT", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Chan:1987:DDF, author = "Tony F. Chan and Diana C. Resasco", title = "A domain-decomposed fast {Poisson} solver on a rectangle", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S14--S26", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65W05)", MRnumber = "88e:65133a", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985). See errata \cite{Chan:1987:EDD}.", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4190 (Other numerical methods)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "domain-decomposed fast Poisson solver; elliptic PDEs; fast Fourier transform; fast Fourier transforms; interface variables; parallel algorithm; parallel algorithms; partial differential equations; rectangle; subdomains", treatment = "T Theoretical or Mathematical", } @Article{Gerasoulis:1987:FAT, author = "A. Gerasoulis and M. D. Grigoriadis and Liping Sun", title = "A fast algorithm for {Trummer}'s problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S135--S138", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30", MRnumber = "873 954", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4120 (Functional analysis); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Rutgers Univ., New Brunswick, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "arithmetic time complexity; Cauchy singular integrals; computational complexity; conformal mappings; functional analysis; matrix algebra; matrix-vector multiplication; Riemann zeta function; Trummer matrix; Trummer problem; vectors", treatment = "T Theoretical or Mathematical", } @Article{Grosch:1987:ANS, author = "C. E. Grosch", title = "Adapting a {Navier--Stokes} code to the {ICL-DAP}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S96--S117", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0270 (Computational techniques); A0650M (Computing devices and techniques); A4710 (General theory, simulation and other computational methods); C4170 (Differential equations); C6110 (Systems analysis and programming); C7310 (Mathematics)C7320 (Physics and Chemistry)", corpsource = "Old Dominion Univ., Norfolk, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "architecture; DAP FORTRAN; ICL computers; ICL-DAP; mathematics computing; Navier--Stokes code; Navier--Stokes equations; parallel algorithms; parallel programming; performance results; physics computing; program parallelisation", treatment = "P Practical", ZMnumber = "629.76028", } @Article{Mitra:1987:ARN, author = "Debasis Mitra", title = "Asynchronous relaxations for the numerical solution of differential equations by parallel processors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S43--S58", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65W05)", MRnumber = "88f:65110", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "AT and T Bell Labs., Murray Hill, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asynchronous iterations; differential equations; dominance conditions; inhomogeneous ODEs; initial value problems; iterative methods; linear autonomous equations; M-matrix; nonautonomous ODEs; nonlinear ODEs; nonstarvation condition; numerical solution; ordinary differential equations; parallel algorithms; parallel processors; partitioned system; relaxation theory; uniform geometric convergence; uniformly bounded delays; waveform analysis; waveform relaxations", treatment = "T Theoretical or Mathematical", } @Article{Saltz:1987:REC, author = "J. H. Saltz and V. K. Naik and D. M. Nicol", title = "Reduction of the effects of the communication delays in scientific algorithms on message passing {MIMD} architectures", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S118--S134", month = jan, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. for Comput. Applications in Sci. and Eng., NASA, Langley Res. Center, Hampton, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "communication delay minimisation; convergence of numerical methods; delays; elliptic partial differential equations; global convergence check; heat equation; heat transfer; hypercube multiprocessor architecture; Intel iPSC Hypercube; iteration; iterative methods; message passing MIMD architectures; multicolor SOR methods; multiple time-steps; multiprocessor machines; parallel algorithms; partial differential equations; problem domain partitioning; red-black successive over relaxation; scientific algorithms; time dependent problem", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Duff:1987:ULP, author = "Iain S. Duff and Jorge Nocedal and John K. Reid", title = "The use of linear programming for the solution of sparse sets of nonlinear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "99--108", month = mar, year = "1987", CODEN = "SIJCD4", DOI = "http://dx.doi.org/10.1137/0908024", ISSN = "0196-5204", MRclass = "65H10 (90C30)", MRnumber = "88b:65065", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4140 (Linear algebra); C4150 (Nonlinear and functional equations)", corpsource = "Div. of Comput. Sci. and Syst., AERE, Harwell, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "l/sub 1/-norm minimisation; l/sub infinity /-norm trust region; Levenberg--Marquardt algorithm; linear programming; linearized residual vector; matrix algebra; nonlinear equations; sparse sets of nonlinear equations; sparsity", treatment = "T Theoretical or Mathematical", } @Article{Bai:1987:LMR, author = "D. Bai and A. Brandt", title = "Local mesh refinement multilevel techniques", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "109--134", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N50 (65N20)", MRnumber = "88b:65144", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algebraic singularities; boundary shape; difference equations; forcing terms; local mesh refinement; mesh-size optimisation; multigrid methods; multilevel techniques; nonuniform grids; partial differential equations; Poisson problem; re-entrant corners; sources", treatment = "T Theoretical or Mathematical", } @Article{Shubin:1987:MEA, author = "Gregory R. Shubin and John B. Bell", title = "A modified equation approach to constructing fourth-order methods for acoustic wave propagation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "135--151", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M05 (76Q05)", MRnumber = "88c:65074", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0270 (Computational techniques); A0340K (Waves and wave propagation: general mathematical aspects); A4320 (General linear acoustics); B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations); C7310 (Mathematics); C7320 (Physics and Chemistry)", corpsource = "Exxon Production Res. Co., Houston, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accuracy; acoustic wave propagation; centred second-order conservative scheme; convergence; convergence of numerical methods; dominant error term; efficiency; error analysis; finite difference methods; fourth order methods; mathematics computing; modified equation analysis; one-dimensional wave equation; physics computing; pseudospectral methods; second order truncation errors; storage requirements; two space dimensions; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Budgell:1987:SFL, author = "W. P. Budgell", title = "Stochastic filtering of linear shallow water wave processes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "152--170", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "86A05 (65C20 93E11)", MRnumber = "88d:86002", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0270 (Computational techniques); A4735 (Waves); A4760 (Flows in ducts, channels, and conduits); A9210H (Surface waves, tides, and sea level)", corpsource = "Inst. of Ocean Sci., Sidney, BC, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary condition errors; channel flow; dynamic-stochastic model; error analysis; error bounds; filtering and prediction theory; geophysical fluid dynamics; incremental covariance formulation; Kalman filter equations; linear shallow water wave processes; linearly varying channel; momentum balance errors; ocean waves; one-dimensional closed channel; one-dimensional linearized shallow water equations; spatially dependent error covariance field; stochastic boundary forcing; stochastic filtering; stochastic wind stress forcing; time-evolution; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Kempthorne:1987:NSD, author = "Peter J. Kempthorne", title = "Numerical specification of discrete least favorable prior distributions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "171--184", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65U05 (62C20 62C25)", MRnumber = "88b:65158", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140E (Game theory); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Stat., Harvard Univ., Cambridge, MA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Bayes decision procedures; Bayes methods; Bayes risk minimisation; decision theory; discrete least favorable prior distributions; iterative methods; iterative optimisation; maximum risk minimisation; minimax procedures; minimax techniques; multi-objective decision problem; numerical methods; numerical specification; statistical analysis; statistical decision problems", treatment = "T Theoretical or Mathematical", } @Article{Ulrich:1987:MCG, author = "Gary Ulrich and Layne T. Watson", title = "A method for computer generation of variates from arbitrary continuous distributions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "185--197", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C10 (65C05 65D07 65L05 65U05)", MRnumber = "88c:65006", MRreviewer = "Gheorghe Barbu", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Syst. Training Center, AT and T Bell Labs., Piscataway, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accuracy; arbitrary continuous distributions; best discrete least squares cubic spline approximation; Cauchy distribution; computerised variate-generation; continuous random variable; cumulative distribution function; density function; differential equation; differential equations; efficiency; exponential distribution; gamma distribution; interpolation; interpolatory Runge--Kutta algorithm; inverse CDF transform; least squares approximations; normal distribution; probability; Runge--Kutta methods; setup requirements; transforms", treatment = "T Theoretical or Mathematical", } @Article{Dongarra:1987:FPA, author = "J. J. Dongarra and D. C. Sorensen", title = "A fully parallel algorithm for the symmetric eigenvalue problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "S139--S154", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65W05)", MRnumber = "88f:65054", MRreviewer = "Michel Cosnard", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985", conftitle = "Second Conference on Parallel Processing for Scientific Computing", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computation time, accuracy; Cuppen divide-and-conquer scheme; deflation technique; eigenvalues and eigenfunctions; fully parallel algorithm; matrix algebra; numerical properties; parallel algorithms; performance; robust root finding technique; round off error; speedup; symmetric eigenvalue problem; symmetric tridiagonal matrix", sponsororg = "SIAM; NSF; Air Force Office Sci. Res", treatment = "T Theoretical or Mathematical", } @Article{Gear:1987:SCP, author = "C. W. Gear and R. G. Voigt", title = "{Second Conference on Parallel Processing for Scientific Computing}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "S139--S287", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Sat May 03 12:12:00 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C4100 (Numerical analysis)", conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985", conftitle = "Second Conference on Parallel Processing for Scientific Computing", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "domain decomposition for elliptic PDEs; hyperbolic conservation-law systems; hypercube algorithms; numerical methods; parallel algorithms; performance measurements; statistical analysis; symmetric eigenvalue problem; symmetric tridiagonal eigenvalue problem", sponsororg = "SIAM; NSF; Air Force Office Sci. Res", treatment = "T Theoretical or Mathematical", } @Article{Jordan:1987:IPP, author = "Harry F. Jordan", title = "Interpreting parallel processor performance measurements", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "S220--S226", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Feb 20 15:01:08 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory); C5470 (Performance evaluation and testing)", conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985", conftitle = "Second Conference on Parallel Processing for Scientific Computing", corpsource = "Dept. of Comput. Sci., Indiana Univ., Bloomington, IN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm theory; computational speedup; critical sections synchronization overhead; execution time versus number of simultaneous operations; hardware limits; HEP; parallel algorithms; parallel processor performance measurements; performance evaluation; pipelined shared memory multiprocessors; program analysis; programming theory; sequential code; shared memory multiprocessors; task granularity", sponsororg = "SIAM; NSF; Air Force Office Sci. Res", treatment = "T Theoretical or Mathematical; X Experimental", ZMnumber = "654.68012", } @Article{Keyes:1987:CDD, author = "David E. Keyes and William D. Gropp", title = "A comparison of domain decomposition techniques for elliptic partial differential equations and their parallel implementation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "S166--S202", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65F10 65W05)", MRnumber = "88g:65101", MRreviewer = "Michel Cosnard", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985", conftitle = "Second Conference on Parallel Processing for Scientific Computing", corpsource = "Res. Center for Sci. Comput., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "2D self-adjoint elliptic PDEs; domain decomposition techniques; elliptic partial differential equations; fast Poisson solvers; Intel Hypercube; interfacial equations; iterative techniques; parallel algorithms; partial differential equations; preconditioned conjugate gradient", sponsororg = "SIAM; NSF; Air Force Office Sci. Res", treatment = "T Theoretical or Mathematical", } @Article{Lo:1987:MAS, author = "Sy-Shin Lo and Bernard Philippe and Ahmed Sameh", title = "A multiprocessor algorithm for the symmetric tridiagonal eigenvalue problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "S155--S165", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65W05)", MRnumber = "879 401", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C5470 (Performance evaluation and testing); C7310 (Mathematics)", conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985", conftitle = "Second Conference on Parallel Processing for Scientific Computing", corpsource = "Center for Supercomput. Res. and Dev., Illinois Univ., Urbana, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Alliant FX/8; BISECT; bisection; Cray X-MP/48 multiprocessors; eigenvalues and eigenfunctions; EISPACK routines; extraction-inverse iteration; isolation; mathematics computing; matrix algebra; modified Gram--Schmidt method; multiprocessor algorithm; parallel algorithm; parallel algorithms; partial orthogonalization; performance evaluation; pipeline processing; pipelined algorithm. multisections; symmetric tridiagonal eigenvalue problem; symmetric tridiagonal matrix; TINVIT; Zeroin method", sponsororg = "SIAM; NSF; Air Force Office Sci. Res", treatment = "T Theoretical or Mathematical", } @Article{Lucier:1987:PAN, author = "Bradley J. Lucier and Ross Overbeek", title = "A parallel adaptive numerical scheme for hyperbolic systems of conservation laws", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "S203--S219", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M05 (65W05)", MRnumber = "88b:65101", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985", conftitle = "Second Conference on Parallel Processing for Scientific Computing", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conservation laws; Cray; Cyber 205; Denelcor HEP; dynamic problem-domain partitioning; highly nonuniform time-dependent grids; hyperbolic conservation-law systems; hyperbolic PDEs; load balancing; MIMD shared memory parallel computer; parallel adaptive numerical scheme; parallel algorithm; parallel algorithms; partial differential equations; vector computers", sponsororg = "SIAM; NSF; Air Force Office Sci. Res", treatment = "T Theoretical or Mathematical", } @Article{McBryan:1987:HAI, author = "Oliver A. McBryan and Eric F. {Van de Velde}", title = "Hypercube algorithms and implementations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "S227--S287", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65F05 65F10 65M99 65N30)", MRnumber = "879 404", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", acknowledgement = ack-nhfb, classification = "A0270 (Computational techniques); A0340G (Fluid dynamics: general mathematical aspects); A4710 (General theory, simulation and other computational methods); C4170 (Differential equations); C7320 (Physics and Chemistry)", conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985", conftitle = "Second Conference on Parallel Processing for Scientific Computing", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm behaviour; algorithm performance; bottlenecks; communication time; computational fluid dynamics; finite difference methods; finite elements; flow simulation; hidden interprocess communication; hyperbolic conservation laws; hypercube architectures; machine efficiency; parallel algorithms; parallel computer simulator; parallel fast Poisson solver; parallel full multigrid method; parallel preconditioned conjugate gradient method; partial differential equations; PDE algorithms; pressure equations; random choice method; real fluids; serial computers; software development costs", sponsororg = "SIAM; NSF; Air Force Office Sci. Res", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Swarztrauber:1987:ACR, author = "Paul N. Swarztrauber", title = "Approximate cyclic reduction for solving {Poisson}'s equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "199--209", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65F05)", MRnumber = "89b:65254", MRreviewer = "H. R. Schwarz", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Nat. Center for Atmos. Res. Comput. Facility, Boulder, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximate cyclic reduction; approximation theory; asymptotic operation count; elliptic partial differential equations; partial differential equations; Poisson equation; polynomials; rational matrix polynomials", treatment = "T Theoretical or Mathematical", ZMnumber = "644.65073", } @Article{Bojanczyk:1987:NDC, author = "A. W. Bojanczyk and R. P. Brent and P. {Van Dooren} and F. R. {De Hoog}", title = "A note on downdating the {Cholesky} factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "210--221", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65F30 65G05)", MRnumber = "88d:65049", MRreviewer = "Henry Wolkowicz", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4110 (Error analysis in numerical methods); C4240 (Programming and algorithm theory)", corpsource = "Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cholesky factorization; computational complexity; downdating; error analysis; numerical properties; parallel computers; positive definite matrix; vector computers", treatment = "T Theoretical or Mathematical", } @Article{Manitius:1987:CEA, author = "A. Manitius and H. Tran and G. Payre and R. Roy", title = "Computation of eigenvalues associated with functional-differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "222--247", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L15 (34A30 34K05 93B25 93B40)", MRnumber = "88d:65120", MRreviewer = "M. M. Konstantinov", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., Rensselaer Polytech. Inst., Troy, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bounded region; characteristic equation; combinatorial algorithm; delay equations; differential equations; eigenvalues; eigenvalues and eigenfunctions; finite-dimensional approximation; functional differential equations; functional equations; polynomials", treatment = "T Theoretical or Mathematical", } @Article{Ostrouchov:1987:SGR, author = "George Ostrouchov", title = "Symbolic {Givens} reduction and row-ordering in large sparse least squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "248--264", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (05C50)", MRnumber = "89f:65050", MRreviewer = "Iain S. Duff", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C6120 (File organisation)", corpsource = "Div. of Eng. Phys. and Math., Oak Ridge, Nat. Lab., TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "data structure; data structures; large sparse least squares problems; least squares approximations; local acceptability; matrix factor; row-ordering; sequential processing; symbolic Givens reduction", treatment = "T Theoretical or Mathematical", } @Article{Ervin:1987:ADS, author = "V. Ervin and W. Layton", title = "On the approximation of derivatives of singularly perturbed boundary value problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "265--277", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30", MRnumber = "88d:65161", MRreviewer = "Lydia Kronsj{\"o}", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Georgia Inst. of Technol., Atlanta, GA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; boundary-value problems; computed approximation; derivatives approximation; difference equations; singularly perturbed boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Colton:1987:NST, author = "David Colton and Peter Monk", title = "The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "278--291", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65P05 (76Q05)", MRnumber = "88i:65151", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4320 (General linear acoustics)", corpsource = "Dept. of Math. Sci., Delaware Univ., Newark, DE, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "acoustic wave scattering; acoustically soft obstacle; far field pattern; Herglotz wave functions; high frequency asymptotic methods; numerical solution; three-dimensional inverse scattering problem; time harmonic acoustic waves; time harmonic incident wave", treatment = "T Theoretical or Mathematical", } @Article{Gropp:1987:LUM, author = "William D. Gropp", title = "Local uniform mesh refinement with moving grids", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "292--304", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M50", MRnumber = "88f:65161", MRreviewer = "B. M. Herbst", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "2-D scalar problems; hyperbolic partial differential equations; local uniform mesh refinement; moving grids; numerical dispersion; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Dukowicz:1987:ACR, author = "John K. Dukowicz and John W. Kodis", title = "Accurate conservative remapping (rezoning) for arbitrary {Lagrangian--Eulerian} computations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "305--321", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08", MRnumber = "88b:76008", MRreviewer = "W. Langlois", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0340G (Fluid dynamics: general mathematical aspects)", corpsource = "Los Alamos Nat. Lab., NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accurate conservative remapping; arbitrary Lagrangian--Eulerian computations; computational fluid dynamics; continuity equation; fluid dynamics; integral formulation; interpolation; monotonicity; partial differential equation; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Gladwell:1987:PAI, author = "I. Gladwell and L. F. Shampine and L. S. Baca and R. W. Brankin", title = "Practical aspects of interpolation in {Runge--Kutta} codes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "322--341", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65D05)", MRnumber = "88d:65105", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Manchester Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "analytical tools; differential equations; error control; initial value problem; initial value problems; interpolation; local monotonicity; ordinary differential equations; Runge--Kutta codes; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Chu:1987:PSO, author = "Moody T. Chu and Hans Hamilton", title = "Parallel solution of {ODE's} by multi-block methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "342--353", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65W05)", MRnumber = "88e:65083", MRreviewer = "H. Brunner", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Denelcor HEP machine; differential equations; multi-block methods; ordinary differential equations; parallel solution; predictor-corrector type combination; stability problem", treatment = "T Theoretical or Mathematical", } @Article{Johnsson:1987:STS, author = "S. Lennart Johnsson", title = "Solving tridiagonal systems on ensemble architectures", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "354--392", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (15A06 65N20 65W05 68Q25)", MRnumber = "88j:65063", MRreviewer = "Stephen W. Brady", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci. and Electr. Eng., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "2-dimensional arrays; binary trees; boolean cubes; computational complexity; ensemble architectures; floating-point number; Gaussian elimination; Gaussian elimination and cyclic reduction; linear arrays; parallel algorithms; parallel arithmetic complexity; shuffle networks; shuffle-exchange; synchronisation; trees (mathematics); tridiagonal systems", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Renka:1987:ITS, author = "R. J. Renka", title = "Interpolatory tension splines with automatic selection of tension factors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "393--415", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07 (65D10)", MRnumber = "88j:65029", MRreviewer = "R. K. Beatson", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., North Texas State Univ., Denton, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "automatic selection; convexity; derivatives; function values; interpolation; interpolatory tension splines; iterative procedure; monotonicity; piecewise exponential functions; splines (mathematics); tension factors", treatment = "T Theoretical or Mathematical", } @Article{Toint:1987:LSN, author = "Ph. L. Toint", title = "On large scale nonlinear least squares calculations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "416--435", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10", MRnumber = "88f:65031", MRreviewer = "Girdhar G. Agarwal", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Facultes Universitaires Notre-Dame de la Paix, Namur, Belgium", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "large scale nonlinear least squares calculations; large scale optimization; least squares approximations; nonlinear model fitting problem", treatment = "T Theoretical or Mathematical", } @Article{Liu:1987:GPS, author = "X. Y. Liu and Y. M. Chen", title = "A generalized pulse-spectrum technique ({GPST}) for determining time-dependent coefficients of one-dimensional diffusion equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "436--445", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "35R30 (35R25 65M99)", MRnumber = "88k:35215", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Appl. Math. and Stat., State Univ. of New York, Stony Brook, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; generalized pulse-spectrum technique; inverse problems; iterative methods; numerical simulations; one-dimensional diffusion equations; time-dependent coefficients", treatment = "T Theoretical or Mathematical", } @Article{Osborne:1987:ENM, author = "M. R. Osborne", title = "Estimating nonlinear models by maximum likelihood for the exponential family", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "446--456", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62F10 (62J99 65U05)", MRnumber = "88d:62053", MRreviewer = "Wilfried Grossmann", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Stat., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational process; exponential family; generalized linear models; least square problems; least squares approximations; maximum likelihood; nonlinear models estimation; stability", treatment = "T Theoretical or Mathematical", } @Article{Chan:1987:EDD, author = "Tony F. Chan and Diana C. Resasco", title = "Errata: {``A domain-decomposed fast Poisson solver on a rectangle''}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "457--457", month = may, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65W05)", MRnumber = "88e:65133b", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "See \cite{Chan:1987:DDF}.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Miekkala:1987:CDI, author = "Ulla Miekkala and Olavi Nevanlinna", title = "Convergence of dynamic iteration methods for initial value problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "459--482", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65F10)", MRnumber = "89f:65076", MRreviewer = "D. F. Mayers", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B2570 (Semiconductor integrated circuits); C4130 (Interpolation and function approximation)", corpsource = "Helsinki Univ. of Technol., Inst. of Math., Espoo, Finland", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "digital simulation; dynamic iteration methods; initial value problems; iterative methods; linear systems; time discretization; VLSI; VLSI-simulation; waveform relaxation method", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Bader:1987:NBI, author = "G. Bader and U. Ascher", title = "A new basis implementation for a mixed order boundary value {ODE} solver", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "483--500", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (65L20 65V05)", MRnumber = "88f:65118", MRreviewer = "Abbas I. Abdel-Karim", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. Angewandt. Math., Heidelberg Univ., West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "B-splines; basis replacement; boundary-value problems; code; COLSYS; differential equations; mixed order boundary value ODE solver; mixed order systems; numerical approximation; ordinary differential equation; piecewise polynomial solutions", treatment = "T Theoretical or Mathematical", } @Article{Sacks:1987:SCS, author = "Paul Sacks and Fadil Santosa", title = "A simple computational scheme for determining the sound speed of an acoustic medium from its surface impulse response", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "501--520", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76Q05", MRnumber = "89a:76047", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4320 (General linear acoustics)", corpsource = "Center for Appl. Math., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "acoustic medium; acoustic wave propagation; acoustic wave velocity; computational scheme; optimisation; optimization; sound speed; surface impulse response", treatment = "T Theoretical or Mathematical", } @Article{Kuiper:1987:CIM, author = "Logan K. Kuiper", title = "A comparison of iterative methods as applied to the solution of the nonlinear three-dimensional groundwater flow equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "521--528", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (65N20 76S05)", MRnumber = "88c:76007", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods)", corpsource = "Water Resources Div., US Geol. Survey, Austin, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "difference equations; fluid dynamics; groundwater; iterative methods; nonlinear equations; nonlinear finite difference approximating equations; nonlinear three-dimensional groundwater flow equation; preconditioned conjugate gradient methods; strongly implicit procedure; successive overrelaxation; watertable aquifer", treatment = "T Theoretical or Mathematical", } @Article{Benner:1987:AFE, author = "R. E. {Benner, Jr.} and H. T. Davis and L. E. Scriven", title = "An adaptive finite element method for steady and transient problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "529--549", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M50 (65M60 65N30 65N50)", MRnumber = "88j:65202", MRreviewer = "B. M. Herbst", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4725F (Boundary layer and shear turbulence); A4725Q (Convection and heat transfer); A4755M (Flow through porous media)", corpsource = "Dept. of Chem. Eng. and Mater. Sci., Minnesota Univ., Minneapolis, MN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive finite element method; boundary layer turbulence; boundary layers; Buckley--Leverett theory; convection in liquids; finite element analysis; flow through porous media; fluid interfaces; fluid mechanical; fluid wetting; Galerkin method; gradient theory; integral error; Newton iteration; shock fronts; solid walls; steady convection; steady problems; thin-film states; transient problems; two-phase Darcy flow; uniform distribution criterion; wetting", treatment = "B Bibliography; T Theoretical or Mathematical", } @Article{Kuo:1987:LRM, author = "C.-C. Jay Kuo and Bernard C. Levy and Bruce R. Musicus", title = "A local relaxation method for solving elliptic {PDE}s on mesh-connected arrays", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "550--573", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65F10)", MRnumber = "89b:65251", MRreviewer = "L. W. Ehrlich", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C5440 (Multiprocessor systems and techniques)", corpsource = "Dept. of Electr. Eng. and Comput. Sci., Cambridge, MA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "acceleration factors; computer simulation; digital simulation; elliptic PDEs; Fourier analysis approach; global communication; local relaxation method; mesh-connected arrays; parallel processing; partial differential equations; processor arrays", treatment = "T Theoretical or Mathematical", } @Article{Bank:1987:GSE, author = "Randolph E. Bank and R. Kent Smith", title = "General sparse elimination requires no permanent integer storage", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "574--584", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F05 65N20)", MRnumber = "88h:65093", MRreviewer = "Lubor Malina", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., California Univ., La Jolla, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; general sparse elimination; integer storage; LDU decomposition; nonzeros; permanent integer storage; sparsity", treatment = "T Theoretical or Mathematical", } @Article{Liu:1987:AGS, author = "Joseph W. H. Liu", title = "An adaptive general sparse out-of-core {Cholesky} factorization scheme", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "585--599", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65F50)", MRnumber = "88e:65031", MRreviewer = "Zahari Zlatev", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory); C6120 (File organisation)", corpsource = "Dept. of Comput. Sci., York Univ., Downsview, Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive general sparse out-of-core Cholesky factorization scheme; computational complexity; data structures; dense matrices; matrix data structure; sparse matrices", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Erisman:1987:EOU, author = "A. M. Erisman and R. G. Grimes and J. G. Lewis and W. G. {Poole, Jr.} and H. D. Simon", title = "Evaluation of orderings for unsymmetric sparse matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "600--624", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65F50)", MRnumber = "88m:65049", MRreviewer = "Iain S. Duff", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory)", corpsource = "Eng. Technol. Applications Div., Boeing Comput. Services Co., Seattle, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; orderings; stability; statistical analysis; structural parameters; unsymmetric sparse matrices", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1987:GRO, author = "T. W. Anderson and I. Olkin and L. G. Underhill", title = "Generation of random orthogonal matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "625--629", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "15A52 (65C10)", MRnumber = "88g:15017", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140G (Monte Carlo methods); C4290 (Other computer theory)", corpsource = "Dept. of Stat., Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computation theory; Haar measure; Householder transformations; matrix algebra; Monte Carlo methods; normal random variables; random orthogonal matrices generation; singular value decomposition", treatment = "T Theoretical or Mathematical", } @Article{Utreras:1987:GCV, author = "Florencio I. Utreras", title = "On generalized cross-validation for multivariate smoothing spline functions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "630--643", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (41A15 65D07)", MRnumber = "88g:65015", MRreviewer = "Frederick N. Fritsch", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "generalised cross validation; minimisation; minimization; multivariate smoothing spline functions; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Briggs:1987:FSP, author = "William L. Briggs", title = "Further symmetries of in-place {FFT}s", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "644--654", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65T05", MRnumber = "88i:65167", MRreviewer = "Harald E. Krogstad", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290Z (Other numerical methods); C4190 (Other numerical methods)", corpsource = "Dept. of Math., Colorado Univ., Denver, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "even wave symmetries; fast Fourier transforms; in-place FFTs; odd wave symmetries; quarter wave symmetries; real sequences; symmetries", treatment = "T Theoretical or Mathematical", } @Article{Salane:1987:CAS, author = "Douglas E. Salane", title = "A continuation approach for solving large-residual nonlinear least squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "655--671", month = jul, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K05 (49D07)", MRnumber = "88f:65095", MRreviewer = "Bernard Lemaire", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Numerical Math. Div., Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "continuation approach; convergence; descent properties; large-residual nonlinear least squares problems; least squares approximations; robust algorithm; trust region parameter", treatment = "T Theoretical or Mathematical", } @Article{Dendy:1987:TMM, author = "J. E. {Dendy, Jr.}", title = "Two multigrid methods for three-dimensional problems with discontinuous and anisotropic coefficients", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "673--685", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65F10)", MRnumber = "88h:65190", MRreviewer = "Harry Yserentant", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis)", corpsource = "Theor. Div., Los Alamos Nat. Lab., NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "anisotropic coefficients; auxiliary intermediate grids; coding complexity; discontinuous coefficients; multigrid methods; numerical methods; three-dimensional diffusion equations", treatment = "T Theoretical or Mathematical", } @Article{Johnsson:1987:ADM, author = "S. Lennart Johnsson and Youcef Saad and Martin H. Schultz", title = "Alternating direction methods on multiprocessors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "686--700", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (15A06 65W05)", MRnumber = "88h:65071", MRreviewer = "Michel Cosnard", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C4240 (Programming and algorithm theory); C5440 (Multiprocessor systems and techniques)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "2-D grid architecture; alternating direction methods; classical Gaussian elimination algorithm; complexity analysis; computational complexity; hypercube; multiprocessing systems; multiprocessors; parabolic partial differential equations; parallel architectures; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Kightley:1987:PSR, author = "J. R. Kightley and C. P. Thompson", title = "On the performance of some rapid elliptic solvers on a vector processor", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "701--715", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65F10 65W05)", MRnumber = "88h:65192", MRreviewer = "S. Galanis", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C5440 (Multiprocessor systems and techniques)", corpsource = "Harwell Lab., UKAEA, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "code; computational complexity; conventional serial processor; CRAY-1 computer; direct methods; elliptic solvers; multigrid techniques; parallel processing; partial differential equations; performance; preconditioned conjugate gradient method; software packages; vector processor", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Barlow:1987:SGR, author = "Jesse L. Barlow and Ilse C. F. Ipsen", title = "Scaled {Givens} rotations for the solution of linear least squares problems on systolic arrays", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "716--733", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F20 (65F25 65W05)", MRnumber = "88m:65064", MRreviewer = "N. N. Abdelmalek", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B1265B (Logic circuits); B2570 (Semiconductor integrated circuits); C4130 (Interpolation and function approximation); C5120 (Logic and switching circuits)", corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "cellular arrays; least squares approximations; linear least squares problems; parallel linear-time implementation; round off error; roundoff errors; scaled givens rotations; stability; systolic arrays; VLSI", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Cybenko:1987:FTO, author = "George Cybenko", title = "Fast {Toeplitz} orthogonalization using inner products", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "734--740", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F25", MRnumber = "88h:65088", MRreviewer = "Henry Wolkowicz", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Tufts Univ., Medford, MA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "fast Toeplitz orthogonalization; inner products; inverse Q R factorization; matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Hari:1987:JMS, author = "Vjeran Hari and Kre{\v{s}}imir Veseli\'c", title = "On {Jacobi} methods for singular value decompositions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "741--754", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "88k:65034", MRreviewer = "Gregory Ammar", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Zagreb Univ., Yugoslavia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; convergence properties; Jacobi methods; matrix; matrix algebra; row-cyclic strategy; singular value decompositions; standard QR method", treatment = "T Theoretical or Mathematical", } @Article{Swayne:1987:TDB, author = "D. A. Swayne", title = "Time-dependent boundary and interior forcing in locally one-dimensional schemes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "755--767", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05 (65L05 65M05 65N20)", MRnumber = "88i:65119", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Comput. and Inf. Sci., Guelph Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Dirichlet boundary conditions; extrapolation; global extrapolation; interior forcing; locally one-dimensional schemes; numerical solution; parabolic partial differential equations; partial differential equations; stable second-order scheme; time-dependent boundary", treatment = "T Theoretical or Mathematical", } @Article{Watson:1987:SGA, author = "Layne T. Watson and L. Ridgway Scott", title = "Solving {Galerkin} approximations to nonlinear two-point boundary value problems by a globally convergent homotopy method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "768--789", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (58C30 65H10 65L60 90C30)", MRnumber = "88h:65150", MRreviewer = "Dragoslav Herceg", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290K (Nonlinear and functional equations); B0290P (Differential equations); C1180 (Optimisation techniques); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbot, MI, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; Brouwer fixed point problems; Chow-Yorke algorithm; finite differences; Galerkin approximations; globally convergent homotopy method; nonlinear differential equations; nonlinear programming; nonlinear programming problems; nonlinear two-point boundary value problems; shooting; spline collocation; splines (mathematics); zero finding", treatment = "G General Review; T Theoretical or Mathematical", } @Article{Brown:1987:HOM, author = "David L. Brown and Jens Lorenz", title = "A high-order method for stiff boundary value problems with turning points", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "790--805", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "34A50 (34B05 34E20 65L10)", MRnumber = "90a:34030", MRreviewer = "P. R. Krishnamoorthy", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Los Alamos Nat. Lab., Centre for Nonlinear Studies, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "a priori mesh construction algorithm; boundary-value problems; collocation-like methods; differential equations; high-order method; numerical solution; singularly perturbed ordinary differential equations; stiff boundary value problems; turning points", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Blom:1987:NSN, author = "J. G. Blom and H. Brunner", title = "The numerical solution of nonlinear {Volterra} integral equations of the second kind by collocation and iterated collocation methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "806--830", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R20", MRnumber = "89f:65138", MRreviewer = "William F. Moss", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "code; error estimates; integral equations; iterated collocation methods; iterative methods; nonlinear Volterra integral equations; numerical solution; polynomial spline collocation; polynomials; splines (mathematics); superconvergence properties", treatment = "T Theoretical or Mathematical", } @Article{Corliss:1987:ASV, author = "George F. Corliss and Louis B. Rall", title = "Adaptive, self-validating numerical quadrature", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "831--847", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D30 (65G10 65V05)", MRnumber = "88m:65037", MRreviewer = "Christopher T. H. Baker", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", abstract = "Validated bounds for $ If = \int_a^b f(x)\,dx $ are computed using Gaussian, Newton--Cotes, or Taylor polynomial quadrature. The algorithm uses both subinterval and order adaptation. Results often differ by a few units in the last place.", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", comment = "Also {\sl MRC Technical Summary Report No. 2815,\/} University of Wisconsin-Madison, 1985.", corpsource = "Dept. of Math., Stat. and Comput. Sci., Marquette Univ., Milwaukee, WI, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "ACRITH; adaptive quadrature; automatic differentiation.; function values; IBM 370 computers; integral; integral equations; Pascal-SC; polynomials; quadrature; roundoff errors; scalar product; self-validating numerical quadrature; Taylor polynomial; truncation errors; weights", referred = "[Garl85a] \# 311; [Garl87a] \# 311; [Corl88a]; [Jued91a]; [Rall91a].", treatment = "T Theoretical or Mathematical", xxtitle = "Adaptive, Self-Validating Quadrature", } @Article{Ma:1987:CSS, author = "Fai Ma and Mein Sieng Wei and Wendell H. Mills", title = "Correlation structuring and the statistical analysis of steady-state groundwater flow", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "848--867", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C05 (65U05)", MRnumber = "88g:65005", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0540 (Fluctuation phenomena, random processes, and Brownian motion); A9240C (General theory); A9240K (Groundwater)", corpsource = "Dept. of Mech. Eng., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "correlation structuring; flow; groundwater; homogeneous fields; hydrology; inhomogeneous random fields; input uncertainty; Monte Carlo methods; Monte Carlo simulations; output variability; random processes; spatial correlation structure; statistical analysis; steady-state groundwater flow; synthesis of random fields", treatment = "T Theoretical or Mathematical", } @Article{Boncelet:1987:ACO, author = "Charles G. {Boncelet, Jr.}", title = "Algorithms to computer order statistic distributions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "5", pages = "868--876", month = sep, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62G30 (62E15)", MRnumber = "88g:62102", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other and miscellaneous); C1140Z (Other and miscellaneous)", corpsource = "Dept. of Electr. Eng., Delaware Univ., Newark, DE, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computer order statistic distributions; L-statistics; multivariate distributions; order statistics; probability; sequences of random variables", treatment = "T Theoretical or Mathematical", } @Article{George:1987:SFS, author = "Alan George and Esmond Ng", title = "Symbolic factorization for sparse {Gaussian} elimination with partial pivoting", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "877--898", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05", MRnumber = "89a:65046", MRreviewer = "N. N. Abdelmalek", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci. and Math., Tennessee Univ., Knoxville, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "column; data structure; elementary permutation matrix; linear equations; matrix algebra; multipliers; partial pivoting; partially reduced matrix; pivot row; row interchange; sparse Gaussian elimination; sparse nonsingular system; symbolic factorization; union; unit lower triangular matrix; upper triangular matrix", treatment = "T Theoretical or Mathematical", } @Article{Chun:1987:FPA, author = "J. Chun and T. Kailath and H. Lev-Ari", title = "Fast parallel algorithms for ${QR}$ and triangular factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "899--913", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (15A06 65F30)", MRnumber = "89e:65035", MRreviewer = "E. L. Yip", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cholesky factor; circular rotations; displacement representation; fast parallel algorithms; hyperbolic rotations; matrix algebra; parallel algorithms; positive definite Toeplitz; QR factorization; rectangular Toeplitz matrices; Schur algorithm; structured matrices; Toeplitz-like matrices; triangular factorization", treatment = "T Theoretical or Mathematical", } @Article{Henshaw:1987:MCM, author = "W. D. Henshaw and G. Chesshire", title = "Multigrid on composite meshes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "914--923", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20", MRnumber = "88i:65122", MRreviewer = "Dietrich Braess", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Appl. Math., California Inst. of Technol., Pasadena, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "composite overlapping meshes; convergence of numerical methods; convergence rates; elliptic partial differential equations; multigrid method; numerical solution; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Swartz:1987:CLC, author = "Blair Swartz", title = "{Courant}-like conditions limit reasonable mesh refinement to order $h^2$", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "924--933", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M50", MRnumber = "89g:65121", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Theor. Div., California Univ., NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive grids; algorithm theory; asymptotically; Courant-Friedrichs-Lewy conditions; Courantlike conditions; difference equations; discontinuities; evolutionary partial differential equations; first derivatives; function approximation; hyperbolic systems; local spatial mesh size; local time steps; mesh refinement; mesh refinement algorithm; partial differential equations; space-time surface; static rezoning", treatment = "T Theoretical or Mathematical", } @Article{Girard:1987:ORR, author = "Didier A. Girard", title = "Optimal regularized reconstruction in computerized tomography", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "934--950", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "92A07 (45L10 65R20 65U05)", MRnumber = "88j:92012", MRreviewer = "Frank Natterer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A8710 (General, theoretical, and mathematical biophysics); A8760J (Corpuscular radiation and radioisotopes); C4130 (Interpolation and function approximation); C4180 (Integral equations); C7330 (Biology and medicine)", corpsource = "Lab. d'Electron. et de Technol. de l'Inf., MCTE, CEN, Grenoble, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computerised tomography; computerized tomography; cross-validation; image reconstruction; integral equations; irregularity functional; least squares approximations; optimal regularized reconstruction; picture reconstruction problem; Poisson noise situation; regularization parameter; regularized least squares solutions; rotational invariant norm; rotationally invariant geometry; spline; splines (mathematics); time-of-flight emission tomography", treatment = "P Practical; T Theoretical or Mathematical", } @Article{vanVeldhuizen:1987:NAN, author = "M. {van Veldhuizen}", title = "A new algorithm for the numerical approximation of an invariant curve", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "951--962", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (34C40 58F08 65H10)", MRnumber = "89f:65079", MRreviewer = "G. H. Meyer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math. and Comput. Sci., Vrije Univ., Amsterdam, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm; approximation theory; convergence of numerical methods; delay logistic equation; differential equations; driven van der Pol equation; invariant curve; invariant manifold; numerical approximation; ordinary differential equations; polygonal approximation; stability properties; vanishing rotation number", treatment = "T Theoretical or Mathematical", } @Article{Addison:1987:ISP, author = "C. A. Addison and P. M. Hanson", title = "An investigation into the stability properties of semi-implicit blended formulae", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "963--978", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "88k:65061", MRreviewer = "Matti M{\"a}kel{\"a}", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "Centre for Comput. Sci., Chr. Michelson Inst., Bergen, Norway", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "absolute stability; approximation theory; backward differentiation formulae; blended Adams--Moulton; differential equations; differentiation; matrix algebra; perfect square approximation matrices; perfect square implementations; semiimplicit blended formulae; stability; stability properties; stiff oscillatory ordinary differential equations; unreliability", treatment = "T Theoretical or Mathematical", } @Article{Hoffman:1987:NDH, author = "Peter Hoffman and K. C. Reddy", title = "Numerical differentiation by high order interpolation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "979--987", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D25 (41A05)", MRnumber = "89a:65032", MRreviewer = "R. A. Lorentz", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", corpsource = "AEDC Div., Calspan Field Services Inc., Arnold Eng. Dev. Center, Arnold Air Force Station, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation operators; approximation theory; Chebyshev distribution; difference equations; differentiation; finite difference; finite element; high order interpolation; interpolation; machine precision; numerical approximation; numerical differentiation; numerical verification; partial differential equations; pseudospectral methods; subsets; uniform norm; uniformly space points", treatment = "T Theoretical or Mathematical", } @Article{Weideman:1987:RSA, author = "J. A. C. Weideman and B. M. Herbst", title = "Recurrence in semidiscrete approximations of the nonlinear {Schr{\"o}dinger} equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "988--1004", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M10", MRnumber = "88i:65114", MRreviewer = "Pierre-Louis Lions", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4210 (Formal logic)", corpsource = "Dept. of Appl. Math., Orange Free State Univ., Bloemfontein, South Africa", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "aliasing; approximation theory; difference equations; finite difference method; linear stability analysis; nonlinear Schrodinger equation; nonlinear two-mode analysis; pseudospectral method; recurrence; recursive functions; semidiscrete approximations; spectral method; stability properties", treatment = "T Theoretical or Mathematical", } @Article{Lyness:1987:CFT, author = "J. N. Lyness and Tasso J. Kaper", title = "Calculating {Fourier} transforms of long-tailed functions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "1005--1011", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R10 (42A38 65B05 65B20)", MRnumber = "88i:65155", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C4190 (Other numerical methods)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., Illinois, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "fast Fourier transforms; Fourier transform functions; Fourier transforms; integration; long-tailed functions; Mobius inversion; nonlinear series acceleration technique; Poisson summation formula; smooth functions; trapezoidal quadrature rule", treatment = "T Theoretical or Mathematical", } @Article{Andersson:1987:ACI, author = "Lars-Erik Andersson and Tommy Elfving", title = "An algorithm for constrained interpolation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "1012--1025", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D05 (65D07)", MRnumber = "89f:65012", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Linkoping Univ., Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "constrained interpolation; convex spline interpolation; interpolation; iterative methods; Newton type algorithm; nonlinear system of equations; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Costantini:1987:CMI, author = "Paolo Costantini", title = "Co-monotone interpolating splines of arbitrary degree---a local approach", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "1026--1034", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D05 (65D07)", MRnumber = "89a:65014", MRreviewer = "N. Papamichael", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dipartimento di Energetica, Firenze Univ., Italy", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "arbitrary degree; Bernstein polynomials; co-monotone interpolating splines; continuous piecewise linear functions; interpolation; knots; monotonicity; splines (mathematics); subinterval", treatment = "T Theoretical or Mathematical", } @Article{Niederreiter:1987:SAG, author = "Harald Niederreiter", title = "A statistical analysis of generalized feedback shift register pseudorandom number generators", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "1035--1051", month = nov, year = "1987", CODEN = "SIJCD4", DOI = "http://dx.doi.org/10.1137/0908084", ISSN = "0196-5204", MRclass = "65C10 (11K06)", MRnumber = "89f:65009", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C1160 (Combinatorial mathematics); C5230 (Digital arithmetic methods)", corpsource = "Math. Inst., Austrian Acad. of Sci., Vienna, Austria", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm; discrepancy; equidistribution; generalized feedback shift register; generalized feedback shift register pseudorandom number generators; GFSR algorithm; Lewis; number theory; Payne; random number generation; serial test; statistical analysis; statistical independence; statistical performance; uniform pseudorandom numbers; uniformity test", treatment = "T Theoretical or Mathematical", } @Article{Boggs:1987:SEA, author = "Paul T. Boggs and Richard H. Byrd and Robert B. Schnabel", title = "A stable and efficient algorithm for nonlinear orthogonal distance regression", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "1052--1078", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J02 (65D10)", MRnumber = "89a:62150", MRreviewer = "Girdhar G. Agarwal", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Div. of Sci. Comput., NBS, Gaithersburg, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm; curve; data point; least squares approximations; model equation; model parameters; nonlinear orthogonal distance regression; ODR; ordinary least squares; sparsity; squared orthogonal distances; trust region Levenberg--Marquardt algorithm; twist-region methods; unknowns", treatment = "T Theoretical or Mathematical", } @Article{Gallivan:1987:UBL, author = "K. Gallivan and W. Jalby and U. Meier", title = "The use of {BLAS3} in linear algebra on a parallel processor with a hierarchical memory", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "1079--1084", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C6110 (Systems analysis and programming); C7310 (Mathematics)", corpsource = "Center for Supercomput. Res. and Dev., Illinois Univ., Urbana, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "BLAS3; cache management; CSRD; high performance; linear algebra; mathematics computing; multivector processors; numerical linear algebra; numerical software; parallel computing; parallel processor; parallel programming; shared hierarchical memory; standard kernel subroutines; subroutines; third level; third level BLAS", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Liu:1987:NSF, author = "Joseph W. H. Liu", title = "A note on sparse factorization in a paging environment", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "6", pages = "1085--1088", month = nov, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65F50 68Q25)", MRnumber = "88h:65072", MRreviewer = "Zahari Zlatev", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., York Univ., North York, Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cholesky factorization; CPU time; elapsed time; elimination tree; equivalent reordering; matrix algebra; paging environment; sparse factorization; sparse matrix", treatment = "T Theoretical or Mathematical", } @Article{Dongarra:1987:FAS, author = "J. J. Dongarra and D. C. Sorensen", title = "A Fast Algorithm for the Symmetric Eigenvalue Problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "??", number = "8", pages = "338--342", month = "??", year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Feb 26 10:10:44 2002", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/Multi.bib; http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "{IEEE} Proc. 7th Symposium on Computer Arithmetic, Urbana, {IL}, 1985", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Saylor:1988:CRC, author = "Paul E. Saylor and Dennis C. Smolarski", title = "Computing the roots of complex orthogonal and kernel polynomials", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "1--13", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C15 (33A65 65E05 65H05)", MRnumber = "89c:30014", MRreviewer = "Peter A. McCoy", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Illinois Univ., Urbana-Champaign, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "eigenvalues; eigenvalues and eigenfunctions; Hessenberg matrix; iterative methods; Jacobi matrix; kernel polynomials; matrix algebra; nonpositive bilinear form; nonsymmetric linear equations; polynomials; roots of complex orthogonal; Stieltjes procedure", treatment = "T Theoretical or Mathematical", } @Article{Serbin:1988:PPC, author = "Steven M. Serbin and Alan Lamont Fisher", title = "A post-processor for the cosine method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "14--23", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "88j:65157", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Tennessee Univ., Knoxville, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximate solution; Chebyshev approximation; Chebyshev polynomials; cosine method; error analysis; polynomials; rational approximation; second-order homogeneous evolution equations", treatment = "T Theoretical or Mathematical", } @Article{Schumaker:1988:APC, author = "Larry L. Schumaker and Florencio Utreras", title = "Asymptotic properties of complete smoothing splines and applications", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "24--38", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "41A15", MRnumber = "89d:41028", MRreviewer = "R. K. Beatson", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic properties; complete smoothing splines; eigenvalues; eigenvalues and eigenfunctions; generalized cross validation; mean zero; numerical computation; polynomials; random errors; smoothing parameter", treatment = "A Application; T Theoretical or Mathematical", } @Article{Gear:1988:DAE, author = "C. W. Gear", title = "Differential-algebraic equation index transformations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "39--47", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (34A34 34A50 34C20)", MRnumber = "88j:65149", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Illinois Univ., Urbana-Champaign, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; differential-algebraic equation index transformations; equivalence; higher index problems; implicit differential equation", treatment = "T Theoretical or Mathematical", } @Article{Kerkhoven:1988:EGM, author = "Thomas Kerkhoven", title = "On the effectiveness of {Gummel}'s method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "48--60", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C20", MRnumber = "88m:65013", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290 (Numerical analysis); B2560B (Modelling and equivalent circuits)", corpsource = "Dept. of Comput. Sci., Illinois Univ., Urbana-Champaign, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence; convergence of numerical methods; general N-dimensional case; Gummel method; semiconductor device models; steady state semiconductor equations", treatment = "T Theoretical or Mathematical", } @Article{Glimm:1988:BTS, author = "James Glimm and John Grove and Brent Lindquist and Oliver A. McBryan and Gretar Tryggvason", title = "The bifurcation of tracked scalar waves", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "61--79", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76L05 (58C27 65H10 73D05 76-08 76S05)", MRnumber = "89g:76032", MRreviewer = "P. C. Jain", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4740N (Shock-wave interactions)", corpsource = "Dept. of Math., Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bifurcation; concentration waves; contact discontinuities; front-tracking algorithm; gas dynamics; material discontinuities; oil reservoirs; oil-water banks; Riemann problems; shock waves; tracked scalar waves", treatment = "T Theoretical or Mathematical", } @Article{Bukiet:1988:AFT, author = "Bruce Bukiet", title = "Application of front tracking to two-dimensional curved detonation fronts", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "80--99", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "80A25 (80-08)", MRnumber = "89c:80017", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4740N (Shock-wave interactions)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Chapman--Jouguet thin flame model; convergence; convergence of numerical methods; detonation; detonation waves; front tracking; iterative method; iterative methods; numerical modeling; shock waves; two-dimensional curved detonation fronts", treatment = "T Theoretical or Mathematical", } @Article{George:1988:DSS, author = "Alan George and Joseph Liu and Esmond Ng", title = "A data structure for sparse ${QR}$ and ${LU}$ factorizations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "100--121", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F25)", MRnumber = "89g:65057", MRreviewer = "David R. Kincaid", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C6120 (File organisation)", corpsource = "Math. Sci. Sect., Oak Ridge Nat. Lab., TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "data structure; data structures; Givens rotations; Householder transformations; LU factorizations; matrix algebra; sparse Gaussian elimination; sparse matrix; sparse orthogonal factorization; sparse QR; storage scheme; upper triangular factor", treatment = "T Theoretical or Mathematical", } @Article{Ashcraft:1988:VIF, author = "C. Cleveland Ashcraft and Roger G. Grimes", title = "On vectorizing incomplete factorization and {SSOR} preconditioners", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "122--151", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65W05)", MRnumber = "88j:65069", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Eng. Technol. Applications, Boeing Comput. Services, Seattle, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conjugate gradient method; Cray X-MP/24 vector computer; data dependency analyses; incomplete factorization vectorizing; iterative methods; matrix problems; natural ordering; partial differential equations; recursive calculations; SSOR preconditioners", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Walker:1988:IGM, author = "Homer F. Walker", title = "Implementation of the {GMRES} method using {Householder} transformations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "152--163", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65N20)", MRnumber = "88m:65056", MRreviewer = "S. Galanis", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Utah State Univ., Logan, UT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; generalised minimal residual method; GMRES method implementation; Gram--Schmidt process; Householder transformations; iterative methods; large nonsymmetric linear systems", treatment = "T Theoretical or Mathematical", } @Article{Rivest:1988:NSS, author = "Louis-Paul Rivest", title = "A new scale step for {Huber}'s ${M}$-estimators in multiple regression", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "164--169", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62F35 (62G05)", MRnumber = "89e:62042", MRreviewer = "V. J. Yohai", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. de Math., Stat. et Actuariat, Laval Univ., Que., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; Huber M-estimators; iterative methods; multiple regression; scale step", treatment = "N New Development; T Theoretical or Mathematical", } @Article{Sherman:1988:SHH, author = "Arthur S. Sherman and Charles S. Peskin", title = "Solving the {Hodgkin--Huxley} equations by a random walk method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "170--190", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "92A09 (65C05 65P05)", MRnumber = "88m:92023", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A8715P (Model reactions); A8730E (External and internal data communications, nerve conduction and synaptic transmission)", corpsource = "Nat. Inst. of Health, Bethesda, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; diffusing elements; heart; Hodgkin--Huxley equations; initial boundary value problem; initial value problems; muscle; neurophysiology; numerical method; pancreas; random walk method; sharp wavefronts", treatment = "T Theoretical or Mathematical", } @Article{Oldford:1988:DTM, author = "R. W. Oldford and S. C. Peters", title = "{DINDE}: towards more sophisticated software environments for statistics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "1", pages = "191--211", month = jan, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62-04 (65U05 65V05)", MRnumber = "922 872", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C6115 (Programming support); C7310 (Mathematics)", corpsource = "Dept. of Stat. and Actuarial Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "DINDE; mathematics computing; programming environments; software environments; statistical analysis; statistics", treatment = "P Practical", } @Article{Pantelides:1988:CID, author = "Constantinos C. Pantelides", title = "The consistent initialization of differential-algebraic systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "213--231", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "88m:65109", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1160 (Combinatorial mathematics); C4170 (Differential equations)", corpsource = "Dept. of Chem. Eng., Imperial Coll. of Sci. and Technol., London, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algebra; consistent initialization; graph theory; graph-theoretical algorithm; initial value problems; initial values; mixed differential-algebraic systems; nonlinear DAE system; nonlinear differential equations", treatment = "T Theoretical or Mathematical", } @Article{Fishelov:1988:SMS, author = "Dalia Fishelov", title = "Spectral methods for the small disturbance equation of transonic flows", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "232--251", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76H05 (76-08 76L05)", MRnumber = "89h:76025", MRreviewer = "H. K. Cheng", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4740H (Transonic flows); A4740N (Shock-wave interactions)", corpsource = "Dept. of Appl. Math., Tel Aviv Univ., Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Burgers equation; Chebyshev approximation; discontinuity; series (mathematics); shock waves; small disturbance equation; spectral analysis; spectral approximation; step function; transonic flow; transonic flows; truncated Chebyshev series", treatment = "T Theoretical or Mathematical", } @Article{TenThijeBoonkkamp:1988:OEH, author = "J. H. M. {Ten Thije Boonkkamp}", title = "The odd-even hopscotch pressure correction scheme for the incompressible {Navier--Stokes} equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "252--270", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M20 (76-08)", MRnumber = "88m:65140", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4710 (General theory, simulation and other computational methods)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conservative form; incompressible Navier--Stokes equations; integration; Navier--Stokes equations; odd-even hopscotch pressure correction scheme; Poisson equation; predictor-corrector methods; pressure; space discretization; time-dependent partial differential equations; time-integration", treatment = "T Theoretical or Mathematical", } @Article{Mills:1988:AML, author = "P. L. Mills and S. Lai and M. P. Dudukovi\'c and P. A. Ramachandran", title = "Approximation methods for linear and nonlinear diffusion-reaction equations with discontinuous boundary conditions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "271--288", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65P05", MRnumber = "88m:65194", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A0560 (Transport processes: theory); A8220 (Chemical kinetics); A8265J (Heterogeneous catalysis at surfaces and other surface reactions)", corpsource = "Monsanto Co., Central Res. Labs., St. Louis, MO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; catalysis; diffusion; diffusion-reaction equations; discontinuous boundary conditions; finite element analysis; finite element method; integral equation; integral equations; least squares approximations; least-square method of weighted residuals; reaction kinetics theory; transport equations", treatment = "T Theoretical or Mathematical", } @Article{Melhem:1988:MFT, author = "Rami G. Melhem", title = "A modified frontal technique suitable for parallel systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "289--303", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65V05 (65W05)", MRnumber = "88m:65213", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Computer Sci., Pittsburgh Univ., PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "finite element analysis; frontal solvers; matrix algebra; parallel algorithms; parallel processing; sequential processing; vector processing; window-oriented organization", treatment = "T Theoretical or Mathematical", } @Article{Lewis:1988:IHG, author = "John G. Lewis and Horst D. Simon", title = "The impact of hardware gather\slash scatter on sparse {Gaussian} elimination", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "304--311", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65V05 (65F05)", MRnumber = "88m:65212", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C5220 (Computer architecture); C5470 (Performance evaluation and testing)", corpsource = "Boeing Comput. Services, Eng. Technol. Applications, Seattle, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "hardware gather/scatter; linear algebra; parallel algorithms; parallel architectures; performance evaluation; sparse Gaussian elimination algorithms; vector supercomputers", treatment = "X Experimental", } @Article{Gropp:1988:CPI, author = "William D. Gropp and David E. Keyes", title = "Complexity of parallel implementation of domain decomposition techniques for elliptic partial differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "312--326", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65F10 65W05 68Q25)", MRnumber = "88m:65167", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4240 (Programming and algorithm theory); C5220 (Computer architecture)", corpsource = "Res. Center for Sci. Comput., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "communication startups; complexity; computational complexity; domain decomposition; elliptic partial differential equations; message-passing parallel computers; parallel algorithms; parallel architectures; partial differential equations; preconditioned conjugate gradient", treatment = "T Theoretical or Mathematical", } @Article{George:1988:SCF, author = "Alan George and Michael T. Heath and Joseph Liu and Esmond Ng", title = "Sparse {Cholesky} factorization on a local-memory multiprocessor", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "327--340", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "88m:65219", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C5220 (Computer architecture)", corpsource = "Dept. of Comput. Sci., Tennessee Univ., Knoxville, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "binary hypercube; large sparse positive definite matrix; local-memory multiprocessor; matrix algebra; message passing; multiprocessor interconnection networks; parallel algorithm; parallel algorithms; parallel architectures; sparse Cholesky factorisation", treatment = "T Theoretical or Mathematical", } @Article{Pardalos:1988:GOA, author = "P. M. Pardalos and J. B. Rosen", title = "Global optimization approach to the linear complementarity problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "341--353", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C33 (65K05)", MRnumber = "89d:90226", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1180 (Optimisation techniques); C4240 (Programming and algorithm theory); C5470 (Performance evaluation and testing)", corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; constrained quadratic global minimization problem; Cray 1S; Cray X-MP/48; linear complementarity problem; linear programming; matrix algebra; minimisation; multiple-cost-row linear program; performance evaluation; quadratic programming; supercomputers", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Tyler:1988:SRE, author = "David E. Tyler", title = "Some results on the existence, uniqueness, and computation of the ${M}$-estimates of multivariate location and scatter", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "354--362", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62H12 (62F35)", MRnumber = "89b:62111", MRreviewer = "Margaret P. Gessaman", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Stat., Rutgers Univ., New Brunswick, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bounded influence regression; computation; existence; fixed point algorithm; iteration; iterative methods; M-estimates; multivariate location and scatter; sensitivity bounds; statistical analysis; uniqueness", treatment = "T Theoretical or Mathematical", } @Article{OSullivan:1988:FCF, author = "Finbarr O'Sullivan", title = "Fast computation of fully automated log-density and log-hazard estimators", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "363--379", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62G05 (65U05)", MRnumber = "89g:62062", MRreviewer = "Ulrich Stadtm{\"u}ller", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Stat., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "AIC criteria; B-spline approximants; Bayes methods; Bayesian confidence intervals; curve interpretation; data-driven penalized likelihood estimators; fully-automated estimators; logarithmic density estimators; logarithmic hazard estimators; one-step Newton--Raphson cross-validation scores; probability; small sample performance; splines (mathematics); statistics", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{McDonald:1988:CED, author = "J. A. McDonald and J. Pedersen", title = "Computing environments for data analysis. {III}. Programming environments", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "380--400", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C6115 (Programming support)C6140D (High level languages); C7310 (Mathematics)", corpsource = "Dept. of Stat., Washington Univ., Seattle, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "data analysis; high level languages; integrated programming environments; LISP; mathematics computing; programming environments; Smalltalk; statistical analysis; statistical data analysis", treatment = "P Practical", } @Article{Laurie:1988:NAI, author = "Dirk P. Laurie", title = "A numerical approach to the inverse {Toeplitz} eigenproblem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "401--405", month = mar, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (15A18)", MRnumber = "88m:65071", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; Delsarte-Genin conjecture; eigenvalues; eigenvalues and eigenfunctions; inverse Toeplitz eigenproblem; matrix algebra; numerical approach; quadratically convergent algorithm; real symmetric Toeplitz matrix", treatment = "T Theoretical or Mathematical", } @Article{Bube:1988:EDO, author = "Kenneth P. Bube", title = "The effect of discontinuities on the order of convergence of numerical inversion methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "407--417", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "86A15 (35R30 65P05 73D50 86-08)", MRnumber = "89d:86004", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A9130F (Surface and body waves); A9130R (Explosion seismology); A9385 (Instrumentation and techniques for geophysical, hydrospheric and lower atmosphere research)", corpsource = "Dept. of Math., Washington Univ., Seattle, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "characteristic impedance; convergence of numerical methods; discontinuities; geophysical techniques; impulse response; impulsive wave; integer multiples; mesh width; numerical inversion methods; one-dimensional inverse problem; order of convergence; P-wave reflection; particle velocity; piecewise-polynomial medium; piecewise-smooth stratified elastic half-space; reflection seismology; seismic waves; seismology; travel time; wave equation", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Iyengar:1988:ENP, author = "Satish Iyengar", title = "Evaluation of normal probabilities of symmetric regions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "418--423", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62H10 (62E15 62H12 65U05)", MRnumber = "89f:62048", MRreviewer = "E. A. Enneking", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240 (Probability and statistics); C1140 (Probability and statistics); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Stat., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; confidence sets; exceedance probabilities; normal probabilities evaluation; probability; standardized multivariate normal random vector; symmetric regions", treatment = "T Theoretical or Mathematical", } @Article{Liu:1988:ESM, author = "Joseph W. H. Liu", title = "Equivalent sparse matrix reordering by elimination tree rotations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "424--444", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F25)", MRnumber = "89c:65060", MRreviewer = "Zahari Zlatev", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4140 (Linear algebra); C6120 (File organisation)", corpsource = "Dept. of Comput. Sci., York Univ.., North York, Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "core storage reduction; data structures; elimination tree rotations; equivalent sparse matrix reordering; fill-preserving equivalent reorderings; matrix algebra; multifrontal method; sparse Cholesky factorization; trees (mathematics); working storage reduction", treatment = "T Theoretical or Mathematical", } @Article{Davis:1988:SSO, author = "S. F. Davis", title = "Simplified second-order {Godunov}-type methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "445--473", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M05", MRnumber = "89c:65095", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis)", corpsource = "Appl. Math. Branch, Naval Surface Weapons Center, White Oak, Silver Spring, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "a priori bounds; approximate Riemann solution; difference equations; exact Riemann solution; finite difference schemes; first-order schemes; heuristic arguments; numerical methods; predictor-corrector finite difference schemes; predictor-corrector methods; second order Godunov-type methods; shock resolution", treatment = "T Theoretical or Mathematical", } @Article{Evans:1988:STP, author = "D. J. Evans and W. S. Yousif", title = "The solution of two-point boundary value problems by the alternating group explicit ({AGE}) method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "474--484", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "34B05 (34A50 65F10)", MRnumber = "89m:34025", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Comput. Studies, Loughborough Univ. of Technol., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "ADI method; alternating group explicit method; boundary-value problems; coefficient matrix; convergence analysis; difference equations; explicit iterative solution; finite difference equations; iterative methods; two-point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Li:1988:PTS, author = "Guang Ye Li and Thomas F. Coleman", title = "A parallel triangular solver for a distributed-memory multiprocessor", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "485--502", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "89b:65333", MRreviewer = "Bruno Codenotti", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory); C5440 (Multiprocessor systems and techniques)", corpsource = "Center for Appl. Math., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "distributed-memory multiprocessor; message traffic; multiprocessing systems; parallel algorithm; parallel algorithms; parallel triangular solver; ring embedding; triangular systems of linear equations", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Schulze:1988:NPE, author = "Klaus Schulze and Colin W. Cryer", title = "{NAXPERT}: a prototype expert system for numerical software", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "503--515", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65-04", MRnumber = "937 489", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C7310 (Mathematics)", corpsource = "Inst. fur Numerische und Instrumentelle Math., Westfalische Wilhelms-Univ., Munster, West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "expert systems; mathematical library; mathematics computing; NAXPERT; numerical software; prototype expert system", treatment = "P Practical", } @Article{VanDooren:1988:CFE, author = "Paul {Van Dooren} and Michel Verhaegen", title = "Condensed forms for efficient time-invariant {Kalman} filtering", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "516--530", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65U05 93E11 93E25)", MRnumber = "89b:65107", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B6140 (Signal processing and detection); C1260 (Information theory)", corpsource = "Philips Res. Lab., Brussels, Belgium", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "complexity reduction; condensed forms; discrete Riccati equation; filtering and prediction theory; initial state transformation; Kalman filters; numerical implementations; time-invariant Kalman filtering", treatment = "T Theoretical or Mathematical", } @Article{OSullivan:1988:NER, author = "Finbarr O'Sullivan", title = "Nonparametric estimation of relative risk using splines and cross-validation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "531--542", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62N05 (62G05 62P10)", MRnumber = "89e:62132", MRreviewer = "Jack Cuzick", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Stat., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Bayesian confidence intervals; Cox model; cross-validation scores; damped Newton--Raphson iteration; iterative methods; nonparametric estimation; one-step diagnostics; preconditioned conjugate gradient algorithm; relative risk; splines; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Sleeman:1988:SPS, author = "B. D. Sleeman and D. F. Griffiths and A. R. Mitchell and P. D. Smith", title = "Stable periodic solutions in nonlinear difference equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "543--557", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "58F08 (39A10 58F12 65Q05)", MRnumber = "90c:58087", MRreviewer = "M. Calvo", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math. Sci., Dundee Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "general two-level explicit formula; logistic growth equation; nonlinear difference equations; nonlinear differential equations; period-2 solution; stability; stable periodic solutions", treatment = "T Theoretical or Mathematical", } @Article{Heath:1988:PST, author = "Michael T. Heath and Charles H. Romine", title = "Parallel solution of triangular systems on distributed-memory multiprocessors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "558--588", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "89e:65168", MRreviewer = "Zeng Rong Chen", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory); C5440 (Multiprocessor systems and techniques)", corpsource = "Math. Sci. Sect., Oak Ridge Nat. Lab., TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "commercially available hypercube multiprocessors; distributed-memory multiprocessors; linear equations; matrix storage; multiprocessing systems; parallel algorithms; triangular systems; wavefront algorithms", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Eisenstat:1988:MCA, author = "S. C. Eisenstat and M. T. Heath and C. S. Henkel and C. H. Romine", title = "Modified cyclic algorithms for solving triangular systems on distributed-memory multiprocessors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "589--600", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "89e:65169", MRreviewer = "Zeng Rong Chen", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory); C5440 (Multiprocessor systems and techniques)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "cyclic algorithms; distributed-memory multiprocessors; linear equations; multiprocessing systems; parallel algorithms; triangular systems", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Bernstein:1988:OGA, author = "Herbert J. Bernstein and Max Goldstein", title = "Optimizing {Givens}' algorithm for multiprocessors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "601--602", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65W05)", MRnumber = "89b:65090", MRreviewer = "I. Norman Katz", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4290 (Other computer theory)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bisection algorithm; eigenvalues; eigenvalues and eigenfunctions; Givens algorithms optimisation; linear interpolation; multiprocessors; parallel algorithms; secant method; symmetric tridiagonal eigenvalue problem", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Bailey:1988:EHS, author = "David H. Bailey", title = "Extra high speed matrix multiplication on the {Cray-2}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "3", pages = "603--607", month = may, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65G05 65W05)", MRnumber = "937 496", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C7310 (Mathematics)", corpsource = "Ames Res. Center, NASA, Moffett Field, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cray-2; floating-point operations; library routines; mathematics computing; matrix algebra; matrix multiplication; memory bank contention; numerical stability", treatment = "P Practical", } @Article{Gustafson:1988:DPM, author = "John L. Gustafson and Gary R. Montry and Robert E. Benner", title = "Development of parallel methods for a $1024$-processor hypercube", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "609--638", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05", MRnumber = "945 928", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory); C5220 (Computer architecture); C5470 (Performance evaluation and testing)", corpsource = "Div. of Parallel Processing, Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "1024-processor hypercube; 70 to 130 MFLOPS; algorithmic techniques; communication; data-dependent MFLOPs rates; error correction; fluid dynamics; hardware-induced load imbalances; MIMD; operation efficiency; parallel algorithms; parallel architectures; parallel machines; parallel methods; parallel speedup; performance evaluation; redundant computation; scaled speedup; structural analysis; wave mechanics", treatment = "P Practical", } @Article{Geist:1988:FAD, author = "George A. Geist and Charles H. Romine", title = "{$LU$} factorization algorithms on distributed-memory multiprocessor architectures", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "639--649", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "89d:65122", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods); C5220 (Computer architecture)", corpsource = "Oak Ridge Nat. Lab., TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "data-storage scheme; distributed-memory multiprocessor; hypercube architecture; load distribution; LU factorization; multiprocessing systems; parallel algorithms; parallel architectures; parallel implementation; partial pivoting; pipelining; pivoting cost; pivoting scheme", treatment = "P Practical", } @Article{Gunzburger:1988:FEM, author = "Max D. Gunzburger and Janet S. Peterson", title = "Finite-element methods for the streamfunction-vorticity equations: boundary-condition treatments and multiply connected domains", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "650--668", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (76-08)", MRnumber = "89g:65142", MRreviewer = "R. N. Pandey", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces); C4170 (Differential equations); C7320 (Physics and Chemistry)", corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-conditioned treatments; error estimates; FEM; finite element analysis; low-order elements; multiply connected domains; physics computing; primitive variables; streamfunction-vorticity equations; vortices", treatment = "P Practical", } @Article{Carrier:1988:FAM, author = "J. Carrier and L. Greengard and V. Rokhlin", title = "A fast adaptive multipole algorithm for particle simulations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "669--686", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C20 (70-08 78-08 78A35 82-08)", MRnumber = "89e:65008", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0320 (Classical mechanics of discrete systems: general mathematical aspects); A0340G (Fluid dynamics: general mathematical aspects); A5265 (Plasma simulation); C7320 (Physics and Chemistry)", corpsource = "Elf Aquitaine and Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive multipole algorithm; asymptotic CPU time estimate; Coulomb law; digital simulation; fluid dynamics; force fields; molecular dynamics; N-body problems; n-body problems; particle simulations; physics computing; plasma physics; plasma simulation; potential theory; vortices", treatment = "P Practical", } @Article{Berzins:1988:GEE, author = "M. Berzins", title = "Global error estimation in the method of lines for parabolic equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "687--703", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M20", MRnumber = "89e:65097", MRreviewer = "Manfred Dobrowolski", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Dept. of Comput. Studies, Leeds Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "error analysis; lines methods; numerical solution; ordinary differential equations; parabolic equations; partial differential equations; truncation error", treatment = "P Practical", } @Article{Barlow:1988:DSW, author = "Jesse L. Barlow and Susan L. Handy", title = "The direct solution of weighted and equality constrained least-squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "704--716", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05", MRnumber = "90b:65041", MRreviewer = "Henry Wolkowicz", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "column ordering; direct solution technique; equality constrained least-squares problems; error analysis; Harwell test matrices; least squares approximations; linear least-squares; optimization; pivoting; sparsity pattern; weighted least-squares", treatment = "T Theoretical or Mathematical", } @Article{Narula:1988:EAM, author = "Subhash C. Narula and John F. Wellington", title = "An efficient algorithm for the {MSAE} and the {MMAE} regression problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "717--727", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J05 (65D10 65K05 65U05)", MRnumber = "945 934", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C1180 (Optimisation techniques); C4190 (Other numerical methods); C7310 (Mathematics)", corpsource = "Virginia Commonwealth Univ., Richmond, VI, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "linear programming; minimization of the maximum absolute error; minimum sum of absolute errors; MMAE; MSAE; regression; statistical analysis", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Micchelli:1988:SIC, author = "Charles A. Micchelli and Florencio I. Utreras", title = "Smoothing and interpolation in a convex subset of a {Hilbert} space", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "728--746", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "41A05 (65D05)", MRnumber = "90b:41008", MRreviewer = "Girdhar G. Agarwal", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0250 (Combinatorial mathematics); B0290P (Differential equations); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Sci. IBM Thomas J. Watson Res. Center Yorktown Heights, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "constraint set; convex constraints; convex subset; EXAFS spectroscopy; finite dimensional dual extremal problem; Hilbert space; interpolation; least norm solution; numerical experiments; orthogonal projection; smoothing; splines; topology", treatment = "T Theoretical or Mathematical", } @Article{Becker:1988:ADA, author = "R. A. Becker and J. M. Chambers", title = "Auditing of data analyses", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "747--760", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C6115 (Programming support); C7310 (Mathematics); C7410H (Instrumentation)", corpsource = "AT and T Bell Labs., Murray Hill, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "auditing; auditing facility; data analyses; data analysis; data analysis assistant; data structure; exploratory interface; interactive data analysis; interactive systems; objects; programming environments; record; statements; verification", treatment = "P Practical", } @Article{Sweet:1988:PVV, author = "Roland A. Sweet", title = "A parallel and vector variant of the cyclic reduction algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "761--765", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65W05)", MRnumber = "89c:65116", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Colorado Univ., Denver, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Buneman algorithm; cyclic reduction algorithm; matrix algebra; parallel algorithm; parallel algorithms; partial fraction expansion; rotational matrix functions; vector algorithm", treatment = "P Practical", } @Article{Chan:1988:OCP, author = "Tony F. Chan", title = "An optimal circulant preconditioner for {Toeplitz} systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "766--771", month = jul, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35", MRnumber = "89e:65046", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "matrix algebra; optimal circulant preconditioner; Strang preconditioner; Toeplitz matrix; Toeplitz systems", treatment = "P Practical", } @Article{Hennart:1988:VEG, author = "J. P. Hennart and E. H. Mund", title = "On the $h$-and $p$-versions of the extrapolated {Gordon}'s projector with applications to elliptic equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "773--791", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30", MRnumber = "89g:65143", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. de Investigaciones en Matematicas Aplicadas y en Sistemas, Univ. Nacional Autonoma de Mexico, Mexico City, Mexico", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bivariate problems; boundary-value problems; computational complexities; discrete blended interpolation projector; elliptic boundary value problems; elliptic equations; extrapolation; extrapolation procedure; finite element analysis; finite element approximation; h-finite elements; interpolation; p-finite elements", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Adjerid:1988:LRF, author = "Slimane Adjerid and Joseph E. Flaherty", title = "A local refinement finite-element method for two-dimensional parabolic systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "792--811", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30", MRnumber = "89g:65136", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", corpsource = "Inst. de Math., Univ. des Sci. et de la Technol. Houari Boumediene, Alger, Algeria", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive algorithms; adaptive local refinement finite-element procedure; boundary-value problems; data structures; discretized; dynamic tree data structure; error analysis; error tolerance; error-estimation; finite element analysis; initial boundary value problems; nodal superconvergence; parabolic partial differential equations; partial differential equations; piecewise bilinear finite-element approximations; piecewise cubic polynomials; piecewise-linear techniques; polynomials; spatial discretization error; spatial error estimate; stiff differential systems; two-dimensional rectangular regions; vector systems", treatment = "T Theoretical or Mathematical", } @Article{Gustafsson:1988:FFB, author = "Bertil Gustafsson", title = "Far-field boundary conditions for time-dependent hyperbolic systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "812--828", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N10 (35L50 65M10)", MRnumber = "90b:65188", MRreviewer = "R{\'e}mi Vaillancourt", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations)", corpsource = "Dept. of Sci. Comput., Uppsala Univ., Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary conditions; boundary-value problems; computational domain; Euler equations; far-field boundaries; hyperbolic systems; numerical experiments; time-dependent hyperbolic systems", treatment = "T Theoretical or Mathematical", } @Article{Reusch:1988:DPA, author = "Michael F. Reusch and Lee Ratzan and Neil Pomphrey and Wonchull Park", title = "Diagonal {Pad{\'e}} approximations for initial value problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "829--838", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65P05 (41A21)", MRnumber = "89g:65157", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Plasma Phys. Lab., Princeton Univ., NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "A-stability; accuracy; approximation theory; convergence of numerical methods; diagonal Pade approximation; efficiency; initial value problems; time evolution operator", treatment = "T Theoretical or Mathematical", } @Article{Tan:1988:ITA, author = "Roger C. E. Tan", title = "Implementation of the topological $\epsilon$-algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "839--848", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F99 (65B99)", MRnumber = "89i:65049", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., La Trobe Univ., Bundoora, Vic., Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accelerated convergence; complete computer programs; convergence of numerical methods; extrapolation; implementation error; topological epsilon -algorithm; vector sequences", treatment = "P Practical; T Theoretical or Mathematical", } @Article{George:1988:CSF, author = "Alan George and Esmond Ng", title = "On the complexity of sparse ${QR}$ and ${LU}$ factorization of finite-element matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "849--861", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65F50 65N30)", MRnumber = "90b:65042", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Tennessee Univ., Knoxville, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cholesky factorization; complexity bounds; computational complexity; finite element analysis; Gaussian elimination with partial pivoting; irregular mesh problems; matrix algebra; n*n sparse nonsingular matrix; orthogonal factorization; tested dissection ordering; two-dimensional finite-element mesh", treatment = "T Theoretical or Mathematical", } @Article{Gilbert:1988:SPP, author = "John R. Gilbert and Tim Peierls", title = "Sparse partial pivoting in time proportional to arithmetic operations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "862--874", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65F50 68Q25)", MRnumber = "89f:65034", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; data structures; depth-first search; Gaussian elimination with partial pivoting; matrix algebra; sparse codes; sparse matrix algorithms; sparse partial pivoting algorithms; sparsity; topological ordering", treatment = "T Theoretical or Mathematical", } @Article{Byers:1988:BMM, author = "Ralph Byers", title = "A bisection method for measuring the distance of a stable matrix to the unstable matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "875--881", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (15A99 93D99)", MRnumber = "89k:65036", MRreviewer = "Pradeep Misra", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Kansas Univ., Lawrence, KS, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bisection method; eigenvalues; eigenvalues and eigenfunctions; Frobenius norm distances; lower bound; matrix algebra; roundoff errors; stability; stable matrix; unstable matrices; upper bound", treatment = "T Theoretical or Mathematical", } @Article{Ortega:1988:EIC, author = "J. M. Ortega", title = "Efficient implementations of certain iterative methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "882--891", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10", MRnumber = "90a:65073", MRreviewer = "Wlodzimierz Proskurowski", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Appl. Math., Virginia Univ., Charlottesville, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "iterative methods; matrix algebra; preconditioned conjugate gradient; SSOR iteration; SSOR preconditioning", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Barlow:1988:IME, author = "J. L. Barlow and N. K. Nichols and R. J. Plemmons", title = "Iterative methods for equality-constrained least squares problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "892--906", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K05 (65F10 90C20)", MRnumber = "89h:65100", MRreviewer = "W. C. Rheinboldt", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Alliant FX/8 multiprocessor; Cray-X-MP; iterative methods; Kuhn--Tucker equations; least squares approximations; linear equality-constrained least squares problem; optimal design; preconditioned conjugate gradient method; reliability analysis; structural analysis; structural optimization problems", treatment = "T Theoretical or Mathematical", } @Article{Wolke:1988:IRL, author = "R. Wolke and H. Schwetlick", title = "Iteratively reweighted least squares: algorithms, convergence analysis, and numerical comparisons", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "907--921", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65U05 (62-04 62J05)", MRnumber = "90e:65201", MRreviewer = "A. G. {\v{Z}}ilinskas", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Martin Luther Univ. Halle-Wittenberg, East Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence analysis; convergence of numerical methods; convex criterion functions; H-approximations; iterative methods; iterative subalgorithms; least squares approximations; nonlinear least-squares problem; regression problem; robust linear regression problems; W-approximations", treatment = "T Theoretical or Mathematical", } @Article{Garfinkel:1988:ELE, author = "R. S. Garfinkel and A. S. Kunnathur and G. E. Liepins", title = "Error localization for erroneous data: continuous data, linear constraints", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "922--931", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62D05 (90C50)", MRnumber = "90b:62010", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C1160 (Combinatorial mathematics); C1180 (Optimisation techniques)", corpsource = "Dept. of Inf. Manage., Connecticut Univ., Storrs, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "censuses; continuous data; cutting plane algorithm; data editing; erroneous data; errors; heuristic; linear constraints; questionnaires; set theory; set-covering approach; simplex method; statistical analysis; surveys", treatment = "T Theoretical or Mathematical", } @Article{Fink:1988:HPM, author = "A. M. Fink", title = "How to polish off median polish", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "932--940", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65U05 (65K99)", MRnumber = "89h:65231", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other and miscellaneous); C1140Z (Other and miscellaneous)", corpsource = "Dept. of Math., Iowa State Univ., Ames, IA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "commensurable data; convergence of numerical methods; iteration; iterative methods; median polish; statistics; two-way tables", treatment = "T Theoretical or Mathematical", } @Article{Altman:1988:BWB, author = "N. S. Altman", title = "Bit-wise behavior of random number generators", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "941--949", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C10", MRnumber = "89i:65006", MRreviewer = "Gheorghe Barbu", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C5230 (Digital arithmetic methods); C7310 (Mathematics)", corpsource = "Dept. of Biometrics, Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "central bits; combination generators; Fibonacci generators; linear congruential generator; lower-order bits; m-tuple test; modulo 2/sup p/; nonrandom behavior; nonrandomness; pseudorandom integers; pseudorandom number generators; random number generation; shift register generators", treatment = "T Theoretical or Mathematical", } @Article{Evans:1988:SGR, author = "M. Evans and T. Swartz", title = "Sampling from {Gauss} rules", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "5", pages = "950--961", month = sep, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C05 (65D30)", MRnumber = "90a:65009", MRreviewer = "J. Patrick Lambert", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); C4160 (Numerical integration and differentiation)", corpsource = "Dept. of Stat., Toronto Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "continuous distributions; Gauss rules; integration; multidimensional integrals; quadrature rules; variance reduction; weight functions", treatment = "T Theoretical or Mathematical", } @Article{Chan:1988:EWC, author = "Tony F. Chan and David E. Foulser", title = "Effectively well-conditioned linear systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "963--969", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35 (15A12 65G05)", MRnumber = "89k:65046", MRreviewer = "J. Rokne", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290H (Linear algebra); C4110 (Error analysis in numerical methods); C4140 (Linear algebra)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Bjork-Percyra algorithm; condition number; error analysis; FFT-based fast Poisson solver; linear system; linear systems; matrix algebra; perturbations; sensitivity; smooth right-hand sides; Vandermonde matrices", treatment = "T Theoretical or Mathematical", } @Article{Bancora-Imbert:1988:NAO, author = "M. C. Bancora-Imbert and P. L. Chow and J. L. Menaldi", title = "On the numerical approximation of an optimal correction problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "970--991", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "93E25 (49D25 65K10 93E20)", MRnumber = "89i:93127", MRreviewer = "George Yin", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. de Matematica, Univ. Nacional de Rosario, Argentina", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence; convergence of numerical methods; correction-type algorithm; damped random linear oscillator; differential equations; discrete maximum principle; discretized system; dynamic programming; dynamic programming equation; iteration procedure; iterative methods; numerical algorithm; numerical approximation; optimal correction problem; oscillations", treatment = "T Theoretical or Mathematical", } @Article{Kuo:1988:MDF, author = "C.-C. Jay Kuo and Bernard C. Levy", title = "Mode-dependent finite-difference discretization of linear homogeneous differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "992--1015", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N05 (65L99)", MRnumber = "89h:65158", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value ordinary differential equations; boundary-value partial differential equations; coincident space; convection; convection-diffusion equations; difference equations; differential equations; diffusion; finite-difference method; Helmholtz equation; Laplace equation; linear homogeneous differential equations; local differential operators; mode-dependent finite-difference schemes; numerical examples; partial differential equations; spectral analysis; test function; transform domain", treatment = "T Theoretical or Mathematical", } @Article{Bamberger:1988:ABC, author = "Alain Bamberger and Bruno Chalindar and Patrick Joly and Jean Elizabeth Roberts and Jean Luc Teron", title = "Absorbing boundary conditions for {Rayleigh} waves", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "1016--1049", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "73D20 (35L99 65N99 86-08)", MRnumber = "90a:73049", MRreviewer = "Fadil Santosa", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4630M (Vibrations, aeroelasticity, hydroelasticity, mechanical waves, and shocks); B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. Nat. de Recherche en Inf. et en Autom., Rocquencourt, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "absorbing boundary conditions; boundary-value problems; dynamics; elastic waves; elasticity; elastodynamics; geometric solution; normal incidence; parasitic reflections; Rayleigh waves; reflection phenomena; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Funaro:1988:CIC, author = "Daniele Funaro", title = "Computing the inverse of the {Chebyshev} collocation derivative", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "1050--1057", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L99 (65F99)", MRnumber = "89h:65138", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dipartimento di Matematica, Pavia Univ., Italy", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accuracy; Chebyshev approximation; Chebyshev collocation derivative; CPU time; matrix algebra; numerical methods; numerical techniques; partial differential equations; pseudospectral derivative; spectral approximation", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Chiang:1988:MRA, author = "Yi Ling F. Chiang", title = "A modified {Remes} algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "1058--1072", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D15", MRnumber = "89h:65027", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. and Inf. Sci., New Jersey Inst. of Technol., Newark, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "best approximation; Chebyshev approximation; continuous function; convergence; convergence of numerical methods; error function; finite interval; intermediate approximation; iterative algorithm; iterative methods; minimax techniques; modified Remes algorithm", treatment = "T Theoretical or Mathematical", } @Article{Shu:1988:TVD, author = "Chi-Wang Shu", title = "Total-variation-diminishing time discretizations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "1073--1084", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M05 (35L65)", MRnumber = "90a:65196", MRreviewer = "Randall J. LeVeque", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Inst. for Math. and Its Applications, Minnesota Univ., Minneapolis, MN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conservation laws; conversion laws; iterative methods; large CFL number; m-step Runge--Kutta-type TVD time discretizations; method-of-lines form; multilevel type TVD high-order time discretizations; numerical results; Runge--Kutta methods; steady state calculations; time discretizations; time-dependent problems; total-variation-diminishing", treatment = "T Theoretical or Mathematical", } @Article{Karakashian:1988:PII, author = "Ohannes A. Karakashian and William Rust", title = "On the parallel implementation of implicit {Runge--Kutta} methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "1085--1090", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "89h:65112", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Tennessee Univ., Knoxville, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "CRAY-XMP48; IBM-3081D; implicit Runge--Kutta methods; parallel algorithms; Runge--Kutta methods; shared-memory type architecture; speedups", treatment = "T Theoretical or Mathematical", } @Article{Jewett:1988:MSS, author = "R. S. Jewett and D. R. Judkins", title = "Multivariate stratification with size constraints", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "1091--1097", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240Z (Other and miscellaneous); C1140Z (Other and miscellaneous); C1250 (Pattern recognition)", corpsource = "Div. of Constr. Stat., Bur. of the Census, Suitland, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Bureau of the Census; clustering algorithms; demographic surveys; heuristic algorithms; large-scale sample surveys; multivariate stratification; pattern recognition; primary sampling units; statistical analysis", treatment = "T Theoretical or Mathematical", } @Article{Rowe:1988:ABM, author = "Neil C. Rowe", title = "Absolute bounds on the mean and standard deviation of transformed data for constant-sign-derivative transformations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "1098--1113", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62G25", MRnumber = "90f:62159", MRreviewer = "Kong-Ming Chong", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C7310 (Mathematics)", corpsource = "Dept. of Comput. Sci., Naval Postgraduate Sch., Monterey, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "absolute bounds; antisampling methods; closed-form expressions; confidence intervals; constant-sign derivative transformations; data analysis; distributional assumptions; inequalities; mean; standard deviation; statistical analysis; statistical bounds; statistical packages; statistical quantities; transformed data values; transforms", treatment = "T Theoretical or Mathematical", } @Article{Heidelberger:1988:DES, author = "Philip Heidelberger", title = "Discrete event simulations and parallel processing: statistical properties", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "6", pages = "1114--1132", month = nov, year = "1988", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "68U20 (60K10 65W05)", MRnumber = "89j:68152", MRreviewer = "Do Le Minh", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/prng.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240G (Monte Carlo methods); C1140G (Monte Carlo methods); C7310 (Mathematics)", corpsource = "Div. of IBM Res., Thomas J. Watson Res. Center, Yorktown Heights, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bias expansions; central limit theorems; completion times; convergence properties; discrete event simulation; estimation theory; estimators; Monte Carlo methods; multiple processor computing system; parallel independent replications; parallel processing; parallelism; reliability theory; scheduling theory; statistical analysis; strong laws", treatment = "B Bibliography; T Theoretical or Mathematical; X Experimental", } @Article{Liu:1989:ACT, author = "Dong C. Liu and Jorge Nocedal", title = "Algorithms with conic termination for nonlinear optimization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "1--17", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K05 (49D07 90C30)", MRnumber = "90b:65124", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290 (Numerical analysis); C1180 (Optimisation techniques); C4100 (Numerical analysis)", corpsource = "Dept. of Electr. Eng. and Comput. Sci., Northwestern Univ., Evanston, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "BFGS method; conic objective functions; conic termination; conjugate gradient method; minimisation; minimizing; nonlinear objective functions; nonlinear optimization; numerical methods; numerical results; optimisation", treatment = "T Theoretical or Mathematical", } @Article{Luk:1989:PJO, author = "Franklin T. Luk and Haesun Park", title = "On parallel {Jacobi} orderings", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "18--26", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30", MRnumber = "90h:65065", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "caterpillar track; Jacobi orderings; matrix algebra; parallel algorithms; parallel Jacobi orderings", treatment = "T Theoretical or Mathematical", } @Article{vanderVorst:1989:VLR, author = "H. A. {van der Vorst} and K. Dekker", title = "Vectorization of linear recurrence relations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "27--35", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65W05)", MRnumber = "90a:65103", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Fac. of Tech. Math. and Inf., Delft Univ. of Technol., Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "linear algebra; linear bidiagonal systems; linear recurrence relations; numerically stable; parallel algorithms; partition method; vector computers", treatment = "T Theoretical or Mathematical", } @Article{Sonneveld:1989:CFL, author = "Peter Sonneveld", title = "{CGS}, a fast {Lanczos}-type solver for nonsymmetric linear systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "36--52", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50", MRnumber = "89k:65052", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Delft Univ. of Technol., Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bi-conjugate gradients; conjugate gradients algorithm; convergence rate; elliptic partial differential equations; iterative methods; Lanczos-type method; linear algebra; nonsymmetric sparse linear systems; numerical methods; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Schreiber:1989:SER, author = "Robert Schreiber and Charles {Van Loan}", title = "A storage-efficient {$WY$} representation for products of {Householder} transformations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "53--57", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65W05)", MRnumber = "90b:65076", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Res. Inst. for Adv. Comput. Sci., NASA, Ames Res. Center, Moffett Field, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "high-performance computing; Householder transformations; matrices; matrix algebra; matrix-matrix multiplication; numerical methods; storage-efficient; WY representation", treatment = "T Theoretical or Mathematical", } @Article{Ostrouchov:1989:AMF, author = "George Ostrouchov", title = "{ANOVA} model fitting via sparse matrix computations: a fast direct method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "58--71", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (62J10)", MRnumber = "90b:65085", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240 (Probability and statistics); B0290H (Linear algebra); C1140 (Probability and statistics); C4140 (Linear algebra)", corpsource = "Math. Sci. Section, Oak Ridge Nat. Lab., TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "analysis-of-variance models; ANOVA model; fast; fitting; linear dependencies; matrix algebra; model matrix; numerical factorization; orthogonal Givens factorization; sparse matrix computations; statistical analysis; storage-efficient", treatment = "T Theoretical or Mathematical", } @Article{Bader:1989:CCP, author = "G. Bader and P. Kunkel", title = "Continuation and collocation for parameter-dependent boundary value problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "72--88", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10", MRnumber = "90f:65127", MRreviewer = "Michael Hanke", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Inst. fur Angewandte Math., Heidelberg Univ., West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary value problems; boundary-value problems; COLCON; collocation discretization; convergence of numerical methods; convergence properties; Gauss--Newton type corrector; numerical approximation; one-parameter continuation; quadratically convergent; steplength control", treatment = "T Theoretical or Mathematical", } @Article{Phillips:1989:EDM, author = "Timothy N. Phillips and Andreas Karageorghis", title = "Efficient direct methods for solving the spectral collocation equations for {Stokes} flow in rectangularly decomposable domains", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "89--103", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (76-08 76D07)", MRnumber = "89m:65103", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods); C4170 (Differential equations); C7320 (Physics and Chemistry)", corpsource = "Dept. of Math., Univ. Coll. of Wales, Aberystwyth, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "biharmonic equation; Chebyshev polynomials; differential equations; fluid dynamics; physics computing; rectangularly decomposable domains; spectral collocation equations; spectral element method; Stokes flow", treatment = "T Theoretical or Mathematical", } @Article{Chan:1989:TEC, author = "Raymond H. Chan and Gilbert Strang", title = "{Toeplitz} equations by conjugate gradients with circulant preconditioner", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "104--119", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "90d:65069", MRreviewer = "Tudor Dumitrescu", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math., Hong Kong Univ., Hong Kong", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conjugate gradient method; convergence of numerical methods; eigenvalue problem; eigenvalues and eigenfunctions; matrix algebra; Toeplitz equations; Toeplitz systems", treatment = "T Theoretical or Mathematical", } @Article{Kopriva:1989:CHE, author = "David A. Kopriva", title = "Computation of hyperbolic equations on complicated domains with patched and overset {Chebyshev} grids", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "120--132", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M50", MRnumber = "90f:65162", MRreviewer = "B. M. Herbst", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Florida State Univ., Tallahassee, FL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Chebyshev grids; Chebyshev spectral collocation; complicated domains; hyperbolic equations; numerical methods; partial differential equations", treatment = "T Theoretical or Mathematical", } @Article{Gilquin:1989:GSC, author = "Herv{\'e} Gilquin", title = "{Glimm}'s scheme and conservation laws of mixed type", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "133--153", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M30 (35L65 73C50 73K03)", MRnumber = "90d:65173", MRreviewer = "P. Rochus", bibdate = "Fri Oct 27 15:25:02 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0340D (Mathematical theory of elasticity); A4630C (Elasticity)", corpsource = "Equipe d'Anal. Num{\'e}rique, Unite de Formation et de Recherche Sci., Saint-Etienne, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conservation laws; elasticity; Glimm's scheme; mixed type; nonlinear elasticity; numerical approximation; numerical methods; numerical solution", treatment = "T Theoretical or Mathematical", } @Article{Otto:1989:SRK, author = "Kurt Otto and Michael Thun{\'e}", title = "Stability of a {Runge--Kutta} method for the {Euler} equations on a substructured domain", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "154--174", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M10", MRnumber = "90d:65170", MRreviewer = "M. K. Kadalbajoo", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Sci. Comput., Uppsala Univ., Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Euler equations; exterior boundary conditions; Ibstab; overlapping conditions; Runge--Kutta method; Runge--Kutta methods; stability; substructured domain", treatment = "T Theoretical or Mathematical", } @Article{Kiwiel:1989:DMC, author = "Krzysztof C. Kiwiel", title = "A dual method for certain positive semidefinite quadratic programming problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "175--186", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C20 (65K05 90C25)", MRnumber = "90e:90089", MRreviewer = "Heinz Bernau", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Syst. Res. Inst., Polish Acad. of Sci., Warsaw, Poland", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convex quadratic function; dual active set method; exact penalty formulations; Goldfarb and Idnani algorithm; nondifferentiable optimization algorithms; piecewise linear functions; piecewise-linear techniques; quadratic programming; quadratic programming problems", treatment = "T Theoretical or Mathematical", } @Article{Fishman:1989:MCC, author = "George S. Fishman", title = "{Monte Carlo}, control variates, and stochastic ordering", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "187--204", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C05 (90B15)", MRnumber = "90b:65006", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240G (Monte Carlo methods); C1140G (Monte Carlo methods)", corpsource = "Dept. of Oper. Res., North Carolina Univ., Chapel Hill, NC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "control variate estimator; control variates; discrete distribution function; Monte Carlo experiment; Monte Carlo methods; stochastic orderings; stochastic processes; variance reduction", treatment = "T Theoretical or Mathematical", } @Article{Simon:1989:BOV, author = "Horst D. Simon", title = "Bisection is not optimal on vector processors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "1", pages = "205--209", month = jan, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65W05", MRnumber = "90c:65171", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Numerical Aerodynamic Simulation (NAS)", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Alliant FX/8; bisection method; Convex C1-XP; CRAY-2; eigenvalues; eigenvalues and eigenfunctions; multisection method; optimal multisection; parallel algorithms; parallel implementation; symmetric tridiagonal matrices; vector processors", treatment = "T Theoretical or Mathematical", } @Article{Borgers:1989:DDL, author = "Christoph B{\"o}rgers and Olof B. Widlund", title = "A domain decomposition {Laplace} solver for internal combustion engine modeling", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "211--226", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65F10)", MRnumber = "90f:65192", MRreviewer = "M. M. Sussman", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C7440 (Civil and mechanical engineering)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithms; combustion engine modeling; convergence analysis; convergence of numerical methods; domain decomposition; elliptic problems; internal combustion engine modeling; internal combustion engines; Laplace solver; Laplace transforms; mechanical engineering computing; multigrid cycles; standard software", treatment = "T Theoretical or Mathematical", xxtitle = "A Domain Decomposition {Laplace} Solver for Internal Combustion Modeling", } @Article{Forsyth:1989:AIC, author = "P. A. Forsyth", title = "Adaptive implicit criteria for two-phase flow with gravity and capillary pressure", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "227--252", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99 (76-08 76S05 76T05)", MRnumber = "90a:65213", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4755K (Multiphase flows); A4755M (Flow through porous media)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive implicit discretization; capillary pressure; flow in a porous medium; flow through porous media; gravity; monotonicity conditions; switching criteria; two-phase flow", treatment = "T Theoretical or Mathematical", } @Article{Bourgeat:1989:TVD, author = "A. Bourgeat and Bernardo Cockburn", title = "A total variation diminishing-projection method for solving implicit numerical schemes for scalar conservation laws: a numerical study of a simple case", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "253--273", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M10 (35L65)", MRnumber = "90g:65116", MRreviewer = "Stavros A. Belbas", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis)", corpsource = "Saint Etienne Univ., Fac. des Sci. et Technol., Etienne, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conservation laws; diminishing-projection method; Godunov's implicit scheme; implicit numerical schemes; Newton's method; numerical methods; numerical study; scalar conservation laws; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{deGroen:1989:SGM, author = "P. P. N. {de Groen} and M. {van Veldhuizen}", title = "A stabilized {Galerkin} method for convection-diffusion problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "274--297", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (76-08 76R99)", MRnumber = "90d:65193", MRreviewer = "V. Soundalgekar", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0560 (Transport processes: theory); A4725Q (Convection and heat transfer)", corpsource = "Dept. of Math. and Comput. Sci., Vrije Univ., Brussels, Belgium", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conforming method; convection; convection-diffusion problems; differential equations; diffusion; diffusion equations; discretization; finite element analysis; finite-element discretization; Galerkin method; symmetric system", treatment = "T Theoretical or Mathematical", } @Article{Puckett:1989:SVS, author = "Elbridge Gerry Puckett", title = "A study of the vortex sheet method and its rate of convergence", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "298--327", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (65P05 76D10)", MRnumber = "90c:76016", MRreviewer = "J. Thomas Beale", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Lawrence Livermore Nat. Lab., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Blasius flow; boundary layer equations; boundary layers; Chorin's vortex sheet method; convergence of numerical methods; Navier--Stokes equations; no-slip boundary condition; particle-creation algorithm; random vortex method; random walk; rate of convergence; sheet tagging; time discretization; truncation error; vortex sheet method; vortices", treatment = "T Theoretical or Mathematical", } @Article{Dax:1989:SLE, author = "Achiya Dax", title = "The $\ell_1$ solution of linear equations subject to linear constraints", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "328--340", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K05 (65F99 90C05)", MRnumber = "90f:65092", MRreviewer = "Rados{\l}aw Pytlak", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Hydrological Service, Jerusalem, Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "active set method; cycling; degenerate dead points; least squares approximations; linear algebra; linear constraints; linear equations; linear least-squares subproblem; search direction; search problems; steepest descent", treatment = "T Theoretical or Mathematical", } @Article{Robertazzi:1989:ASA, author = "T. G. Robertazzi and S. C. Schwartz", title = "An accelerated sequential algorithm for producing ${D}$-optimal designs", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "341--358", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62K05 (05B05)", MRnumber = "90a:62202", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4120 (Functional analysis)", corpsource = "Dept. of Electr. Eng., State Univ. of New York, Stony Brook, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "D-optimal designs; efficient algorithm; function evaluation; function evaluations; greedy algorithm; iterative methods; optimisation; sequential design; set function", treatment = "T Theoretical or Mathematical", } @Article{DeRijk:1989:OSJ, author = "P. P. M. {De Rijk}", title = "A one-sided {Jacobi} algorithm for computing the singular value decomposition on a vector computer", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "359--371", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "90e:65056", MRreviewer = "Dao Sheng Zheng", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput. Syst., Fac. of Math. and Comput. Sci., Amsterdam Univ., Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational modifications; Golub-Reinsch algorithm; Jacobi algorithm; matrix algebra; parallel algorithms; parallelism; singular value decomposition; vector computer", treatment = "T Theoretical or Mathematical", } @Article{Mattingly:1989:ORV, author = "R. Bruce Mattingly and Carl D. Meyer and James M. Ortega", title = "Orthogonal reduction on vector computers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "372--381", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F25 (65W05)", MRnumber = "90b:65073", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Math., Youngstown State Univ., OH, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Givens transformation; Householder transformations; matrix algebra; parallel algorithms; QR factorization; vector computers", treatment = "T Theoretical or Mathematical", } @Article{Li:1989:NMS, author = "Guang Ye Li and Thomas F. Coleman", title = "A new method for solving triangular systems on distributed-memory message-passing multiprocessors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "382--396", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65W05)", MRnumber = "90a:65100", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Comput. Center, Jilin Univ., China", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "distributed-memory; matrix; matrix algebra; message-passing multiprocessors; parallel algorithms; parallel triangular solver; triangular systems", treatment = "T Theoretical or Mathematical", } @Article{Morandi:1989:PMQ, author = "Rossana Morandi and Paolo Costantini", title = "Piecewise monotone quadratic histosplines", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "397--406", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07 (65D10)", MRnumber = "90a:65026", MRreviewer = "Christian Coatm{\'e}lec", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Firenze Univ., Italy", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "area-matching; monotonicity; quadratic histosplines; quadratic spline function; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Luk:1989:ARL, author = "Franklin T. Luk and San Zheng Qiao", title = "Analysis of a recursive least-squares signal-processing algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "407--418", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F99", MRnumber = "90b:65088", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140 (Probability and statistics); C1260 (Information theory)", corpsource = "Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "beamforming; estimating the error; least squares approximations; recursive least-squares; signal processing; signal-processing; special matrix; stability; statistical analysis", treatment = "T Theoretical or Mathematical", } @Article{Otto:1989:SPF, author = "James S. Otto", title = "Symmetric prime factor fast {Fourier} transform algorithms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "419--431", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65T05", MRnumber = "90d:65231", MRreviewer = "A. D. Booth", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Dept. of Math., Colorado Univ., Denver, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "discrete Fourier transform; fast Fourier transform; fast Fourier transforms; PFA; prime factor algorithm; storage requirements", treatment = "T Theoretical or Mathematical", } @Article{Helstrom:1989:DAP, author = "Carl W. Helstrom", title = "Distribution of the average power of a normal time series", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "432--446", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62E15 (60E99)", MRnumber = "90f:62049", MRreviewer = "K. S. Miller", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140 (Probability and statistics); C4140 (Linear algebra); C4160 (Numerical integration and differentiation)", corpsource = "Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "autoregressive moving-average; average power; covariance matrix; integration; Kalman equations; Laplace inversion integral; Levinson algorithm; matrix algebra; moment generating function; normal random noise; numerical quadrature; spectral density; time series", treatment = "T Theoretical or Mathematical", } @Article{Kruse:1989:RRM, author = "Hermann Kruse", title = "Resolution of reconstruction methods in computerized tomography", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "447--474", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R10 (65D30 92A07)", MRnumber = "90d:65223", MRreviewer = "Alvaro R. De Pierro", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4160 (Numerical integration and differentiation); C5260B (Computer vision and picture processing)", corpsource = "Inst. fur Numerische und Instrum. Math., Munster, West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computerised tomography; computerized tomography; error estimate; fan-beam geometry; filtered backprojection; integration; reconstruction methods; trapezoidal rule", treatment = "T Theoretical or Mathematical", } @Article{ODonnell:1989:FAN, author = "S. T. O'Donnell and V. Rokhlin", title = "A fast algorithm for the numerical evaluation of conformal mappings", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "475--487", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65E05 (30C30)", MRnumber = "90h:65034", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4180 (Integral equations)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conformal mappings; connected regions; discretization; fast algorithm; Fast Multipole Method; integral equations; Kerzman-Stein integral equation; numerical evaluation; numerical methods", treatment = "T Theoretical or Mathematical", } @Article{Hariharan:1989:LNA, author = "S. I. Hariharan and Yu Ping", title = "Linear and nonlinear acoustic wave propagation in the atmosphere", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "488--514", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76Q05 (35L05 76-08 86A35)", MRnumber = "90e:76114", MRreviewer = "John S. Robertson", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4325 (Nonlinear acoustics and macrosonics); A4328 (Aeroacoustics and atmospheric sound); A9260D (Gravity waves, tides, and compressional waves)", corpsource = "Dept. of Math. Sci., Akron Univ., OH, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "acoustic wave propagation; asymptotic theory; atmosphere; atmospheric acoustics; axisymmetric three-dimensional situation; boundary conditions; gravitational effects; isothermal atmosphere; low-frequency acoustic wave propagation; nonlinear acoustics; nonlinear wave propagation; numerical implementation; one-dimensional model", treatment = "T Theoretical or Mathematical", } @Article{Fraley:1989:CBG, author = "C. Fraley", title = "Computational behavior of {Gauss--Newton} methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "515--532", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (65H10 65K05 90C30)", MRnumber = "90b:65019", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Gauss--Newton methods; least squares approximations; mathematical programming; nonlinear least-squares problems; numerical behavior", treatment = "T Theoretical or Mathematical", } @Article{Ascher:1989:CIS, author = "Uri Ascher and Simon Jacobs", title = "On collocation implementation for singularly perturbed two-point problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "533--549", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (65L20)", MRnumber = "90e:65110", MRreviewer = "Relja Vulanovi\'c", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; collocation; COLSYS; differential equations; numerical methods; numerical solution; ordinary differential equations; singularly perturbed; solvers of first-order linear systems; two-point boundary value problems", treatment = "T Theoretical or Mathematical", } @Article{Bartels:1989:GDL, author = "Richard Bartels and Barry Joe", title = "On generating discrete linear $\ell_\infty$ test problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "550--561", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F20 (65D99 90C20)", MRnumber = "90d:65078", MRreviewer = "N. N. Abdelmalek", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation problems; approximation theory; curve fitting; data fitting; discrete; linear constraints; rank-deficient problems", treatment = "T Theoretical or Mathematical", } @Article{Yamakawa:1989:ETR, author = "Eiki Yamakawa and Masao Fukushima and Toshihide Ibaraki", title = "An efficient trust region algorithm for minimizing nondifferentiable composite functions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "562--580", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C30 (65D10 65K05)", MRnumber = "90c:90209", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques)", corpsource = "Dept. of Appl. Math. and Phys., Kyoto Univ., Japan", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Chebyshev approximation; convergence of numerical methods; exact penalty functions; Maratos effect; min-max optimization; minimisation; nondifferentiable composite functions; nonlinear programming; polyhedral convex function; quadratic programming; quadratically convergent; trust region algorithm", treatment = "T Theoretical or Mathematical", } @Article{Elman:1989:ASC, author = "Howard C. Elman", title = "Approximate {Schur} complement preconditioners on serial and parallel computers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "3", pages = "581--605", month = may, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35 (65W05)", MRnumber = "90b:65079", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "finite-difference operator; matrix algebra; parallel algorithms; parallel architectures; parallel computers; preconditioning techniques; Schur complement preconditioners; sparse matrices", treatment = "T Theoretical or Mathematical", } @Article{Ho:1989:SBT, author = "Ching-Tien T. Ho and S. Lennart Johnsson", title = "Spanning balanced trees in {Boolean} cubes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "607--630", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "68P05 (68Q25 90B10)", MRnumber = "90k:68020", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4230 (Switching theory)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "binomial tree routing; Boolean algebra; Boolean cubes; computer architecture; concurrent communication; interconnection networks; multiprocessor interconnection networks; multiprocessors; personalized communication; scheduling; spanning balanced trees; trees (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Gurwitz:1989:SQP, author = "Chaya Bleich Gurwitz and Michael L. Overton", title = "Sequential quadratic programming methods based on approximating a projected {Hessian} matrix", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "631--653", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C30 (65K05)", MRnumber = "90g:90142", MRreviewer = "S. R. Mohan", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1180 (Optimisation techniques)", corpsource = "Dept. of Comput. and Inf. Sci., Brooklyn Coll., City Univ. of New York, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Hessian matrix; ill-conditioned matrices; matrix algebra; nonlinear function; nonlinear programming problem; projected matrix; quadratic programming; second derivative information; sequential quadratic programming; SQP methods", treatment = "T Theoretical or Mathematical", } @Article{Schwetlick:1989:NSM, author = "Hubert Schwetlick and Volker Tiller", title = "Nonstandard scaling matrices for trust region {Gauss--Newton} methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "654--670", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (65K10)", MRnumber = "90m:65110", MRreviewer = "Carl T. Kelley", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C7310 (Mathematics)", corpsource = "Dept. of Math., Martin Luther Univ., Halle, East Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational cost; Gauss--Newton methods; Jacobian matrix; least squares approximations; matrix algebra; nonlinear least-squares problems; nonstandard scaling matrices; orthogonal distance regression; statistical analysis; surface fitting; trust region", treatment = "T Theoretical or Mathematical", } @Article{Roose:1989:NDE, author = "Dirk Roose and Bart {de Dier}", title = "Numerical determination of an emanating branch of {Hopf} bifurcation points in a two-parameter problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "671--685", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65J15 (58F14)", MRnumber = "90m:65124", MRreviewer = "J{\"u}rgen Scheurle", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Katholieke Univ., Leuven, Belgium", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "'Brusselator' model; differential equations; eigenvalue zero; eigenvalues and eigenfunctions; Hopf bifurcation points; simple turning points; steady state problem; two-parameter problem", treatment = "T Theoretical or Mathematical", } @Article{Boult:1989:OCA, author = "T. Boult and K. Sikorski", title = "An optimal complexity algorithm for computing the topological degree in two dimensions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "686--698", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (58-04 58C30)", MRnumber = "90h:65084", MRreviewer = "Eugene Allgower", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Columbia Univ., New York, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm; computational complexity; function evaluations; Lipschitz condition; nonlinear analysis; nonlinear systems; optimal complexity algorithm; topological degree; topology; worst-case lower bound", treatment = "T Theoretical or Mathematical", } @Article{Wittum:1989:RS, author = "Gabriel Wittum", title = "On the robustness of ${\rm {ILU}}$ smoothing", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "699--717", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N50 (65F99)", MRnumber = "90m:65208", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Heidelberg Univ., West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "anisotropic model; convergence factors; convergence of numerical methods; Fourier analysis; ILU smoothing; multigrid method; partial differential equations; robustness; singularly perturbed problem; smoothing rates", treatment = "T Theoretical or Mathematical", } @Article{Joe:1989:TDT, author = "Barry Joe", title = "Three-dimensional triangulations from local transformations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "718--741", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N50", MRnumber = "91c:65075", MRreviewer = "C. Wayne Mastin", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4290 (Other computer theory)", corpsource = "Dept. of Comput. Sci., Alberta Univ., Edmonton, Alta., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; computational geometry; Delaunay triangulation; local transformations; sphere criterion; three-dimensional points; time complexity; triangulation", treatment = "T Theoretical or Mathematical", } @Article{Larrouturou:1989:CAM, author = "B. Larrouturou", title = "A conservative adaptive method for flame propagation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "742--755", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "80A25 (80-08)", MRnumber = "90c:80016", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C7320 (Physics and Chemistry)", corpsource = "Inst. de Recherche en Inf. et Autom., Valbonne, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive; chemically reactive flow; conservative adaptive method; difference equations; finite-difference approximation; finite-difference method; flame-propagation problems; flames; interpolation; interpolation procedure; monotonicity; one-dimensional; physics computing; positivity; static grid adaption; timestep", treatment = "T Theoretical or Mathematical", } @Article{Skeel:1989:WIS, author = "Robert D. Skeel", title = "Waveform iteration and the shifted {Picard} splitting", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "756--776", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65B99)", MRnumber = "90g:65096", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci., Illinois Univ., Urbana, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; iterative methods; iterative techniques; ODEs; parallel algorithms; parallel solution; rate of convergence; shifted Picard splitting; stiff ordinary differential equations; waveforms", treatment = "T Theoretical or Mathematical", } @Article{Peterson:1989:RBM, author = "Janet S. Peterson", title = "The reduced basis method for incompressible viscous flow calculations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "777--786", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (65M60 76D05)", MRnumber = "90i:76017", MRreviewer = "C. Wayne Mastin", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods); A4760 (Flows in ducts, channels, and conduits); C4150 (Nonlinear and functional equations); C7320 (Physics and Chemistry)", corpsource = "Div. of Comput. and Commun., Los Alamos Nat. Lab., NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "confined flow; driven cavity problem; external flows; finite element analysis; finite-element methods; fluid flow calculations; forward facing step; incompressible viscous flow; Navier--Stokes equations; nonlinear equations; physics computing; reduced basis method; reduction method; solution curve", treatment = "T Theoretical or Mathematical", } @Article{Katzenelson:1989:CSB, author = "Jacob Katzenelson", title = "Computational structure of the ${N}$-body problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "787--815", month = jul, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "70-08 (70-04 70F15 76F99)", MRnumber = "90e:70002", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0320 (Classical mechanics of discrete systems: general mathematical aspects); C4240 (Programming and algorithm theory); C7320 (Physics and Chemistry)", corpsource = "Dept. of Electr. Eng. and Comput. Sci., MIT, Cambridge, MA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational structure; N-body problem; N-body problems; parallel algorithms; parallel computers; physics computing; recursive equations; tree algorithms", treatment = "T Theoretical or Mathematical", } @Article{Trangenstein:1989:MSC, author = "John A. Trangenstein and John B. Bell", title = "Mathematical structure of compositional reservoir simulation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "817--845", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76T05 (35Q20 76-08 76S05 80A20 86A99)", MRnumber = "90h:76088", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods); C7450 (Chemical engineering); C7490 (Other engineering fields)", corpsource = "Exxon Production Res. Co., Houston, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "chemical technology; component conservation equations; compositional reservoir simulation; flow equations; fluid-flow model; hyperbolic; hyperbolic conservation law; miscible gas injection; Multicomponent two-phase isothermal fluid flow; numerical method; numerical methods; petroleum industry; petroleum reservoirs; pressure equation; rock void; thermodynamic equilibrium; two-phase flow; volumetric flow rates", treatment = "T Theoretical or Mathematical", } @Article{Johansen:1989:RST, author = "Thormod Johansen and Aslak Tveito and Ragnar Winther", title = "A {Riemann} solver for a two-phase multicomponent process", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "846--879", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76M25 (65P05 76S05 76T05)", MRnumber = "91b:76082", MRreviewer = "James A. Schmitt", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods); C7450 (Chemical engineering); C7490 (Other engineering fields)", corpsource = "Inst. for Energy Technol., Kjeller, Norway", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "classical Godunov method; nonstrictly hyperbolic conservation laws; numerical methods; oil-recovery process; petroleum industry; polymer flooding; rarefaction waves; Riemann problem solver; shock waves; two-phase flow; two-phase multicomponent process", treatment = "T Theoretical or Mathematical", } @Article{Jainandunsing:1989:NCP, author = "K. Jainandunsing and E. F. Deprettere", title = "A new class of parallel algorithms for solving systems of linear equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "880--912", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65Y05 68Q35)", MRnumber = "91d:65050", MRreviewer = "R. E. Funderlic", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra); C4240 (Programming and algorithm theory); C7310 (Mathematics)", corpsource = "Dept. of Electr. Eng., Delft Univ. of Technol., Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; feed-forward direct methods; Givens rotations; matrix algebra; matrix factorization; nonsingular systems of linear equations; numerical methods; numerically stable; parallel algorithms; systolic implementations", treatment = "T Theoretical or Mathematical", } @Article{Enright:1989:IMN, author = "W. H. Enright and C. W. Gear and K. R. Jackson and L. R. Petzold and R. D. Skeel", title = "{International Meeting on the Numerical Solution of Ordinary Differential Equations}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "913--1051", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Sat May 03 12:13:16 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0100 (General electrical engineering topics); B0290P (Differential equations); C4170 (Differential equations)", conflocation = "Toronto, Ont., Canada; 20-24 June 1988", conftitle = "International Meeting on the Numerical Solution of Ordinary Differential Equations", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Adams PECE codes; asymptotic expansions; backward Euler multirate formulas; boundary value problems; boundary-value problems; convergence of numerical methods; defect estimation; differential equations; differential-algebraic equations; differential-algebraic systems; error analysis; global discretization error; iterative methods; linear multistep codes; order selection strategy; Runge--Kutta methods; Runge--Kutta processes; split linear multistep methods; stability; stepsize; stiff ODE; stiff problems; symmetric schemes; variable coefficient ODE solver; VODE", } @Article{Clark:1989:NSB, author = "Kenneth D. Clark and Linda R. Petzold", title = "Numerical solution of boundary value problems in differential-algebraic systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "915--936", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10", MRnumber = "90m:65149", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", conflocation = "Toronto, Ont., Canada; 20-24 June 1988", conftitle = "International Meeting on the Numerical Solution of Ordinary Differential Equations", corpsource = "Div. of Math. Sci., US Army Res. Office, Research Triangle Park, NC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "backward differentiation formulas; boundary-value problems; convergence of numerical methods; convergence results; DAE initial value problem; difference equations; differential equations; differential-algebraic equations; finite-difference methods; linear boundary value problems; numerical methods; ordinary differential equations; Runge--Kutta methods; shooting methods; shooting theory; singular theory", treatment = "T Theoretical or Mathematical", ZMnumber = "677.65089", } @Article{Ascher:1989:SSD, author = "Uri Ascher", title = "On symmetric schemes and differential-algebraic equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "937--949", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10", MRnumber = "90g:65097", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", conflocation = "Toronto, Ont., Canada; 20-24 June 1988", conftitle = "International Meeting on the Numerical Solution of Ordinary Differential Equations", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary value index-1 DAEs; boundary value problems; boundary-value problems; computational algorithm; convergence of numerical methods; difference equations; differential equations; initial value differential-algebraic equations; initial value problems; stability; symmetric difference schemes; very stiff ordinary differential equations", treatment = "T Theoretical or Mathematical", } @Article{Auzinger:1989:AEG, author = "W. Auzinger and R. Frank", title = "Asymptotic expansions of the global discretization error for stiff problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "950--963", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "90j:65089", MRreviewer = "Rudolf Scherer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4150 (Nonlinear and functional equations); C4170 (Differential equations)", conflocation = "Toronto, Ont., Canada; 20-24 June 1988", conftitle = "International Meeting on the Numerical Solution of Ordinary Differential Equations", corpsource = "Inst. for Appl. and Numerical Math., Tech. Univ. of Vienna, Austria", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic error expansions; coupling conditions; defect correction; discrete singular perturbation techniques; error analysis; extrapolation; full asymptotic expansion; global discretization error; implicit Euler; implicit midpoint; midpoint rule; nonlinear differential equations; nonlinear stiff differential equations; order reductions; oscillating behavior; reduced order; stepsize; trapezoidal rules", treatment = "T Theoretical or Mathematical", } @Article{Higham:1989:DEA, author = "Desmond J. Higham", title = "Defect estimation in {Adams PECE} codes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "964--976", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "90m:65141", MRreviewer = "Rudolf Scherer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", conflocation = "Toronto, Ont., Canada; 20-24 June 1988", conftitle = "International Meeting on the Numerical Solution of Ordinary Differential Equations", corpsource = "Dept. of Math., Manchester Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Adams PECE methods; asymptotically correct estimate; continuously differentiable interpolant; error analysis; initial value problems; interpolation; nonstiff initial value problem; Shampine-Gordon variable order; variable step code", treatment = "T Theoretical or Mathematical", } @Article{Dormand:1989:PRK, author = "J. R. Dormand and P. J. Prince", title = "Practical {Runge--Kutta} processes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "977--989", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "90g:65091", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", conflocation = "Toronto, Ont., Canada; 20-24 June 1988", conftitle = "International Meeting on the Numerical Solution of Ordinary Differential Equations", corpsource = "Dept. of Math. and Stat., Teesside Polytech., Cleveland, UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; error analysis; Runge--Kutta methods; nonstiff ordinary differential equations; Runge--Kutta processes; Runge--Kutta--Nystr{\"o}m formulae; global error; local truncation errors; continuous solutions; RK/RKN formulae; global error estimation; error estimate; dense output values", treatment = "T Theoretical or Mathematical", } @Article{Voss:1989:ESL, author = "David A. Voss and Mark J. Casper", title = "Efficient split linear multistep methods for stiff ordinary differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "990--999", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "90f:65123", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", conflocation = "Toronto, Ont., Canada; 20-24 June 1988", conftitle = "International Meeting on the Numerical Solution of Ordinary Differential Equations", corpsource = "Dept. of Math., Western Illinois Univ., Macomb, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "differential equations; error constants; predictor-corrector methods; predictor-corrector schemes; split Adams--Moulton formulas; split linear multistep methods; stability properties; stiff differential systems; stiff ordinary differential equations; variable step implementation", treatment = "T Theoretical or Mathematical", } @Article{Skelboe:1989:SPB, author = "Stig Skelboe and Per Ulfkjaer Andersen", title = "Stability properties of backward {Euler} multirate formulas", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "1000--1009", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L20 (34A45 65L05)", MRnumber = "91b:65102", MRreviewer = "Xin Yuan Wu", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290P (Differential equations); C4160 (Numerical integration and differentiation); C4170 (Differential equations)", conflocation = "Toronto, Ont., Canada; 20-24 June 1988", conftitle = "International Meeting on the Numerical Solution of Ordinary Differential Equations", corpsource = "Dept. of Comput. Sci., Copenhagen Univ., Denmark", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "A-stability; absolute stability; backward Euler multirate formulas; convergence of numerical methods; differential equations; initial value problems; integration; integration ordinary differential equation; ODEs; steplength", treatment = "T Theoretical or Mathematical", } @Article{Shampine:1989:ECS, author = "L. F. Shampine and P. Bogacki", title = "The effect of changing the stepsize in linear multistep codes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "1010--1023", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "90j:65098", MRreviewer = "G. K. Gupta", bibdate = "Tue Apr 29 18:46:42 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Tischer:1989:NOS, author = "Peter Tischer", title = "A new order selection strategy for ordinary differential equation solvers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "1024--1037", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "90f:65122", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", conflocation = "Toronto, Ont., Canada; 20-24 June 1988", conftitle = "International Meeting on the Numerical Solution of Ordinary Differential Equations", corpsource = "Dept. of Comput. Sci., Monash Univ., Clayton, Vic., Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "accuracy constraint; convergence of numerical methods; differential equations; LSODE; nonstiffness; order selection strategy; ordinary differential equation solvers; stiffness; variable stepsize", treatment = "T Theoretical or Mathematical", } @Article{Brown:1989:VVC, author = "Peter N. Brown and George D. Byrne and Alan C. Hindmarsh", title = "{VODE}: a variable-coefficient {ODE} solver", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "1038--1051", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05", MRnumber = "91g:65164", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", conflocation = "Toronto, Ont., Canada; 20-24 June 1988", conftitle = "International Meeting on the Numerical Solution of Ordinary Differential Equations", corpsource = "Div. of Comput. and Math. Res., Lawrence Livermore Nat. Lab., Livermore, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "backward differentiation formula; banded internal Jacobian; differential equations; fixed-step-interpolatory methods; initial stepsize; initial value ODE solver; interpolations; iterative methods; modified Newton iteration; nonstiff systems; Nordsieck; one-dimensional diurnal kinetics-transport problem; second derivative vector; user interface; user interfaces; variable-coefficient Adams--Moulton; variable-coefficient ODE solver; VODE", treatment = "T Theoretical or Mathematical", } @Article{Bjorstad:1989:OON, author = "Petter E. Bj{\o}rstad and Olof B. Widlund", title = "To overlap or not to overlap: a note on a domain decomposition method for elliptic problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "1053--1061", month = sep, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65F10)", MRnumber = "90g:65139", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Inst. for Inf., Bergen Univ., Norway", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence rate estimation; domain decomposition; elliptic equation; error propagation operator; finite element analysis; finite elements; iterative methods; iterative process; iterative substructuring algorithms; nonoverlapping subdomains; overlapping subregions; Schur complements; stiffness matrices", treatment = "T Theoretical or Mathematical", } @Article{DAzevedo:1989:OIT, author = "E. F. D'Azevedo and R. B. Simpson", title = "On optimal interpolation triangle incidences", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "6", pages = "1063--1075", month = nov, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07 (65L99)", MRnumber = "91a:65019", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "associated Delaunay triangulation; convex programming; convex quadratic surface; interpolation; maximum error; minimisation; minimization; optimal interpolation triangle incidences; optimality criterion; piecewise linear functions; vertices triangulation", treatment = "T Theoretical or Mathematical", } @Article{Hari:1989:QCS, author = "V. Hari", title = "On the quadratic convergence of the serial singular value decomposition {Jacobi} methods for triangular matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "6", pages = "1076--1096", month = nov, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "90i:65065", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Zagreb Univ., Yugoslavia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "iterative methods; quadratic convergence; quadratic programming; serial singular value decomposition Jacobi methods; triangular matrices", treatment = "T Theoretical or Mathematical", } @Article{Ache:1989:CEP, author = "Gerardo A. Ache", title = "Computation of the eigenvalues for perturbations of {Poiseuille} flow using a two-point boundary value method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "6", pages = "1097--1112", month = nov, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76D05 (34B30 76E05)", MRnumber = "91g:76019", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); A4760 (Flows in ducts, channels, and conduits)", corpsource = "Fac. de Ciencias, Univ. Central de Venezuela, Caracas, Venezuela", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; channel flow; channels; differential equations; eigenvalues; eigenvalues and eigenfunctions; Navier--Stokes equations; ordinary differential equations; perturbations; pipe flow; pipes; Poiseuille flow; Reynolds number; Stokes problem; two-point boundary value method", treatment = "T Theoretical or Mathematical", } @Article{Pothen:1989:DOF, author = "Alex Pothen and Padma Raghavan", title = "Distributed orthogonal factorization: {Givens} and {Householder} algorithms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "6", pages = "1113--1134", month = nov, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30", MRnumber = "90j:65064", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory)", corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithms; arithmetic complexity; communication complexities; computational complexity; distributed memory multiprocessors; distributed processing; Givens rotations; Householder transformations; iPSC-286; orthogonal factorization; sequential arithmetic terms", treatment = "T Theoretical or Mathematical", } @Article{Liu:1989:MDO, author = "Joseph W. H. Liu", title = "The minimum degree ordering with constraints", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "6", pages = "1136--1145", month = nov, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F25)", MRnumber = "90i:65080", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Sparse matrix algorithms on supercomputers", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1160 (Combinatorial mathematics)", corpsource = "Dept. of Comput. Sci., York Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bottom-up minimum degree ordering schemes; constraints; graph theory; hybrid scheme; matrix algebra; minimum degree ordering; sensitivity; sparse symmetric matrices; top-down nested dissection", treatment = "T Theoretical or Mathematical", } @Article{Lewis:1989:FAR, author = "John G. Lewis and Barry W. Peyton and Alex Pothen", title = "A fast algorithm for reordering sparse matrices for parallel factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "6", pages = "1146--1173", month = nov, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65W05)", MRnumber = "90m:65090", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Sparse matrix algorithms on supercomputers", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Div. of Sci. Comput. and Anal., Boeing Comput. Services, Seattle, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "chordal graph; clique tree representation; computational complexity; fast algorithm; fill-reducing ordering; graph theory; matrix algebra; parallel factorization; reordering sparse matrices; space complexity; time complexity", treatment = "T Theoretical or Mathematical", } @Article{vanderVorst:1989:HPP, author = "Henk A. {van der Vorst}", title = "High performance preconditioning", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "6", pages = "1174--1185", month = nov, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65N05)", MRnumber = "90k:65114", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Sparse matrix algorithms on supercomputers", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Fac. of Tech. Math. and Inf., Delft Univ. of Technol., Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "discretization; high performance preconditioning; iterative methods; partial differential equations; second-order elliptic partial differential equations; sparse linear systems; three-dimensional rectangular regions; vector computers", treatment = "T Theoretical or Mathematical", } @Article{Young:1989:ASM, author = "David P. Young and Robin G. Melvin and Forrester T. Johnson and John E. Bussoletti and Laurence B. Wigton and Satish S. Samant", title = "Application of sparse matrix solvers as effective preconditioners", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "6", pages = "1186--1199", month = nov, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76-08 (65-04)", MRnumber = "1 025 538", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Sparse matrix algorithms on supercomputers", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4740H (Transonic flows); B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Boeing Comput. Services, Seattle, WA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "aerospace applications; complex geometries; Cray X-MP; drop tolerance; effective preconditioners; GMRES; Krylov subspace methods; matrix algebra; numerical solution; partial differential equations; physically based nested dissection ordering; random order; solid-state storage device; sparse matrix solvers; transonic flow", treatment = "T Theoretical or Mathematical", } @Article{Saad:1989:KSM, author = "Youcef Saad", title = "{Krylov} subspace methods on supercomputers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "6", pages = "1200--1232", month = nov, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65W05)", MRnumber = "90k:65113", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Sparse matrix algorithms on supercomputers", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Res. Inst. for Adv. Comput. Sci., Ames Res. Center, Moffett Field, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; conjugate gradient methods; iterative methods; iterative techniques; parallel computers; parallel processing; polynomial preconditioning; supercomputers; three-dimensional models; vector computers", treatment = "B Bibliography; P Practical; T Theoretical or Mathematical", } @Article{Skeel:1990:MSD, author = "Robert D. Skeel and Martin Berzins", title = "A Method for the Spatial Discretization of Parabolic Equations in One Space Variable", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "1--32", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M20", MRnumber = "91g:65202", MRreviewer = "I. P. Gavrilyuk", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C7310 (Mathematics)", corpsource = "Dept. of Comput. Sci., Illinois Univ., Urbana-Champaign, IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; library program; mathematics computing; one space variable; parabolic equations; spatial discretization; truncation error analysis", treatment = "P Practical; T Theoretical or Mathematical", ZMnumber = "701.65065", } @Article{Mulder:1990:MOD, author = "Wim A. Mulder", title = "Multigrid for the One-Dimensional Inviscid {Burgers} Equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "33--50", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76M20 (65P05 76N10)", MRnumber = "91c:76081", MRreviewer = "C. Wayne Mastin", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4740 (Compressible flows; shock and detonation phenomena)", corpsource = "Dept. of Comput. Sci., Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "compressible flow; convergence behaviour; damped point-Jacobi relaxation; defect correction technique; discontinuous solution; multigrid method; one-dimensional inviscid Burgers equation; relaxation schemes; relaxation theory; shock; shock waves; sonic point; successive grid refinement; upwind differencing", treatment = "T Theoretical or Mathematical", } @Article{Taasan:1990:MML, author = "Shlomo Ta'asan", title = "Multigrid Methods for Locating Singularities in Bifurcation Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "51--62", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (58F14 65P05)", MRnumber = "91d:65191", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques); C4190 (Other numerical methods)", corpsource = "Dept. of Appl. Math. and Comput. Sci., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bifurcation problems; computational geometry; limit points; locating singularities; minimisation; minimization problem; multigrid methods; nonlinear equations; singular points", treatment = "T Theoretical or Mathematical", } @Article{Thune:1990:NAS, author = "Michael Thun{\'e}", title = "A Numerical Algorithm for Stability Analysis of Difference Methods for Hyperbolic Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "63--81", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M06", MRnumber = "91e:65113", MRreviewer = "R{\'e}mi Vaillancourt", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1320 (Stability); C4170 (Differential equations)", corpsource = "Dept. of Sci. Comput., Uppsala Univ., Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; difference approximations; difference methods; hyperbolic systems; initial boundary value problems; initial value problems; normal mode analysis; numerical algorithm; partial differential equations; scalar problems; stability; stability analysis", treatment = "T Theoretical or Mathematical", ZMnumber = "701.65062", } @Article{Veldman:1990:MBC, author = "Arthur E. P. Veldman", title = "``Missing'' boundary conditions? {Discretize} first, substitute next, and combine later", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "82--91", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65P05 (76D05 76M20)", MRnumber = "91d:65211", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods)", corpsource = "Fac. of Tech. Math. and Inf., Delft Univ. of Technol., Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "ADI methods; analytical formulation; boundary conditions; combine later; Discretize first; incompressible flow; Navier--Stokes equations; Poisson equation; streamfunction-vorticity formulation; substitute next", treatment = "T Theoretical or Mathematical", } @Article{Seager:1990:ADE, author = "M. K. Seager and G. F. Carey", title = "Adaptive Domain Extension and Adaptive Grids for Unbounded Spherical Elliptic {PDEs}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "92--111", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30", MRnumber = "91e:65131", MRreviewer = "Lutz Tobiska", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods)", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive domain extension; adaptive grids; domain-truncation error; finite domain approximations; finite element analysis; finite-element method; Navier--Stokes equations; partial differential equations; unbounded domains; unbounded spherical elliptic PDEs", treatment = "T Theoretical or Mathematical", } @Article{Franklin:1990:ACF, author = "Joel Franklin", title = "Analytic continuation by the fast {Fourier} transform", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "112--122", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30B40 (65E05 65T05)", MRnumber = "90m:30004", MRreviewer = "Charles Saltzer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods)", corpsource = "Firestone Lab., California Inst. of Technol., Pasadena, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "analytic continuation; computer algorithm; data errors; fast Fourier transform; fast Fourier transforms; ill-posed problem; positive error bound; time complexity", treatment = "T Theoretical or Mathematical", } @Article{Saltz:1990:AMS, author = "Joel H. Saltz", title = "Aggregation Methods for Solving Sparse Triangular Systems on Multiprocessors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "123--144", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65Y05)", MRnumber = "91a:65117", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C7310 (Mathematics)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "aggregation; aggregation methods; data dependencies; directed acyclic graphs; Encore Multimax; fine-grained computations; large sparse triangular systems; mapping; mathematics computing; model problem analysis; multiprocessors; scheduling; shared-memory architectures; sparse triangular systems", treatment = "P Practical", } @Article{Bank:1990:CSG, author = "Randolph E. Bank and Donald J. Rose", title = "On the complexity of sparse {Gaussian} elimination via bordering", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "145--160", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F05)", MRnumber = "91f:65085", MRreviewer = "Zahari Zlatev", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., California Univ., San Diego, La Jolla, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bordering; complexity of sparse Gaussian elimination; computational complexity; directed graphs; nonnumerical complexity; trees (mathematics)", treatment = "T Theoretical or Mathematical", ZMnumber = "701.65018", } @Article{Gill:1990:MCE, author = "Doron Gill and Eitan Tadmor", title = "An {$O(N^2)$} Method for Computing the Eigensystem of {$N \times N$} Symmetric Tridiagonal Matrices by the Divide and Conquer Approach", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "161--173", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65F35 65N06)", MRnumber = "91d:65058", MRreviewer = "A. Bunse-Gerstner", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "divide and conquer approach; eigenproblem; eigensystem; eigenvalues; eigenvalues and eigenfunctions; eigenvectors; matrix algebra; serial implementation; symmetric tridiagonal matrices", treatment = "T Theoretical or Mathematical", ZMnumber = "701.65026", } @Article{Varah:1990:RSH, author = "J. M. Varah", title = "Relative sizes of the {Hessian} terms in nonlinear parameter estimation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "174--179", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65H10)", MRnumber = "91a:65103", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1220 (Simulation, modelling and identification); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., British Columbia Univ., Vancouver, BC, Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational estimation; Hessian terms; Jacobian matrix; least squares approximations; nonlinear least squares problems; nonlinear models; nonlinear parameter estimation; parameter estimation", treatment = "T Theoretical or Mathematical", } @Article{Coleman:1990:CTR, author = "Thomas F. Coleman and Christian Hempel", title = "Computing a Trust Region Step for a Penalty Function", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "1", pages = "180--201", month = jan, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "49M30 (90C20 90C30)", MRnumber = "91g:49014", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1180 (Optimisation techniques)", corpsource = "Center for Appl. Math., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "ellipsoidal constraint; finite precision arithmetic; Hessian; minimisation; minimizing; optimisation; penalty function; quadratic function; stability; trust region step", treatment = "T Theoretical or Mathematical", } @Article{Ipsen:1990:SST, author = "Ilse C. F. Ipsen and Elizabeth R. Jessup", title = "Solving the Symmetric Tridiagonal Eigenvalue Problem on the Hypercube", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "203--229", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65W05)", MRnumber = "90m:65076", MRreviewer = "Dao Sheng Zheng", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C7310 (Mathematics)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bisection; Cuppen method; distributed-memory hypercube multiprocessor; divide and conquer method; eigenvalues and eigenfunctions; eigenvectors; Intel iPSC-1; inverse iteration; iterative methods; mathematics computing; matrix algebra; multisection; numerical methods; parallel algorithms; parallel algorithms distributed memory hypercube architecture; real symmetric tridiagonal matrix; scheduling; symmetric tridiagonal eigenvalue problem", treatment = "X Experimental", } @Article{Sneyd:1990:CGT, author = "James Sneyd and Charles S. Peskin", title = "Computation of Geodesic Trajectories on Tubular Surfaces", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "230--241", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "53A05 (65D99 65L05 73P05 76Z05 92C35 92C50)", MRnumber = "91e:53006", MRreviewer = "Irl Bivens", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A8710 (General, theoretical, and mathematical biophysics); A8745H (Haemodynamics, pneumodynamics); C4170 (Differential equations); C4190 (Other numerical methods); C7330 (Biology and medicine)", corpsource = "Courant Inst. of Math. Sci., New York, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "blood flow; centreline curve; computational geometry; convergence; convergence of numerical methods; developing heart; differential equations; elastic blood vessel walls; fibre-reinforced vessels; geodesic confinement; geodesic trajectories; haemodynamics; ordinary differential equations; radius function; Runge--Kutta methods; second-order Runge--Kutta method; tubular surfaces", treatment = "T Theoretical or Mathematical", } @Article{McCartin:1990:CES, author = "Brian J. McCartin", title = "Computation of Exponential Splines", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "242--262", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07", MRnumber = "91d:65025", MRreviewer = "S. Dubuc", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. and Inf. Sci., Hartford Graduate Center, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "coconvex interpolation; comontone interpolation; conditioning; end conditions; exponential splines; interpolation; iterative methods; iterative solution; shape preservation; spline equations; splines (mathematics); tension parameter selection algorithms", treatment = "T Theoretical or Mathematical", } @Article{Reichel:1990:MPA, author = "Lothar Reichel", title = "A Matrix Problem with Application to Rapid Solution of Integral Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "263--280", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R20 (65F30)", MRnumber = "91c:65085", MRreviewer = "Frank G. Hagin", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4180 (Integral equations); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math., Lexington Univ., KY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "2 pi -periodic bijective function; computational complexity; Fredholm integral equations; integral equations; linear systems; matrix algebra; matrix vector multiplication; O(n/sup 2/) arithmetic operations; smooth periodic kernels", } @Article{Bard:1990:BBA, author = "Jonathan F. Bard and James T. Moore", title = "A Branch and Bound Algorithm for the Bilevel Programming Problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "281--292", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90D05 (65K05 90C05 90C31)", MRnumber = "90m:90306", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0240E (Game theory); B0260 (Optimisation techniques); C1140E (Game theory); C1180 (Optimisation techniques); C4140 (Linear algebra); C7310 (Mathematics)", corpsource = "Dept. of Mech. Eng., Texas Univ., Austin, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bilevel programming problem; branch and bound scheme; complementary slackness conditions; complimentarity sequential game; follower variables; game theory; IBM 3081-D application; Kuhn--Tucker conditions; leader variables; linear programming; mathematical program; objective functions; static Stackelberg game; XMP library", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Degond:1990:DAD, author = "Pierre Degond and Francisco-Jos{\'e} J. Mustieles", title = "A Deterministic Approximation of Diffusion Equations Using Particles", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "293--310", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C20 (35K55 65M99 82D10)", MRnumber = "91a:65010", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0560 (Transport processes: theory); A4425 (Convection); A4450 (Thermal properties of matter (phenomenology)); A5130 (Thermal properties of gases); A5225D (Plasma kinetic equations)", corpsource = "Centre de Math. Appliqu{\'e}es, Ecole Polytech., Palaiseau, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convection; convection-diffusion problems; convective field; deterministic approximation; Fokker--Planck model; heat equation; heat operator; kinetic theory; numerical study; particle method; plasma kinetic theory; plasma physics; thermal diffusion", treatment = "T Theoretical or Mathematical", } @Article{Deville:1990:FEP, author = "M. O. Deville and E. H. Mund", title = "Finite-Element Preconditioning for Pseudospectral Solutions of Elliptic Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "311--342", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30", MRnumber = "91a:65230", MRreviewer = "Chuan Miao Chen", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Unite de Mecanique Appliqu{\'e}e, Univ. Catholique de Louvain, Belgium", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "basis functions; collocation grid; convergence; convergence of numerical methods; cubic Hermite elements; eigenvalue spectrum; eigenvalues and eigenfunctions; elliptic problems; finite difference preconditioning; finite element analysis; finite-element preconditioner; Gauss--Lobatto quadrature nodes; geometric induced singularities; iteration matrix; iterative methods; Jacobi orthogonal polynomials; low-order Lagrange; preconditioning technique; pseudospectral solutions; quadrangular finite-element algorithms; roundoff error; unit circle", treatment = "T Theoretical or Mathematical", } @Article{MacKinnon:1990:NSS, author = "R. J. MacKinnon and G. F. Carey", title = "Nodal Superconvergence and Solution Enhancement for a Class of Finite-Element and Finite-Difference Methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "343--353", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65N10)", MRnumber = "90m:65201", MRreviewer = "Georges A. Lebaud", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Aerosp. Eng. and Eng. Mech., Texas Univ., Austin, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; derivatives; difference equations; elliptic problems; equivalence; finite element analysis; finite-difference methods; finite-element methods; Gauss-point superconvergence; nodal superconvergence; post-processing formula; solution enhancement; Taylor series analysis", treatment = "T Theoretical or Mathematical", } @Article{DeGoede:1990:VOE, author = "E. D. {De Goede} and J. H. M. {Ten Thije Boonkkamp}", title = "Vectorization of the odd-even hopscotch scheme and the alternating direction implicit scheme for the two-dimensional {Burgers} equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "354--367", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99 (65W05 76-08)", MRnumber = "90m:65173", MRreviewer = "Murli M. Gupta", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C7310 (Mathematics)", corpsource = "Centre for Math. and Comput. Sci., Amsterdam, Netherlands", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "alternating direction implicit scheme; CDC Cyber 205; Cray X-MP/24; data structures; Gaussian elimination; odd-even hopscotch scheme; parallel algorithms; partial differential equations; performance; pipeline processing; rectangular domain; two-dimensional burgers equations; vector computers", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Picone:1990:TAM, author = "J. M. Picone and S. G. Lambrakos and J. P. Boris", title = "Timing Analysis of the Monotonic Logical Grid for Many-Body Dynamics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "368--388", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K05", MRnumber = "91b:65073", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods); C6120 (File organisation); C7320 (Physics and Chemistry)", corpsource = "Lab. for Comput. Phys., US Naval Res. Lab., Washington, DC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cray X-MP computer; data structure; data structures; designated nodes; digital simulation; dynamics; gather-scatter capability; many-body dynamics; many-body problems; memory allocation; memory management; monotonic logical grid; near neighbors; noninteracting objects; parallel partitioning; parallel processing; randomly initialized velocities; storage management; vectorizability", treatment = "X Experimental", } @Article{Mulder:1990:NUS, author = "Wim A. Mulder", title = "A note on the use of symmetric line {Gauss--Seidel} for the steady upwind differenced {Euler} equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "2", pages = "389--397", month = mar, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N10", MRnumber = "90m:65184", MRreviewer = "M. M. Sussman", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Comput. Sci. Stanford Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; damped alternating direction line Jacobi relaxation; flow simulation; gas dynamics; Gauss--Seidel relaxation; instability; line relaxation; long waves; multigrid convergence; multigrid scheme; partial differential equations; relaxation theory; steady upwind differenced Euler equations; symmetric line Gauss--Seidel; unstable relaxation scheme", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Fishelov:1990:VMS, author = "Dalia Fishelov", title = "Vortex Methods for Slightly Viscous Three-Dimensional Flow", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "399--424", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76M25 (65P05 76C05 76D05 76D10)", MRnumber = "91c:76088", MRreviewer = "J. Thomas Beale", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4715F (Stability of laminar flows); A4725 (Turbulent flows, convection, and heat transfer); A4725F (Boundary layer and shear turbulence); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces)", corpsource = "Dept. of Math., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximate velocity field; boundary layer turbulence; boundary layers; laminar to turbulent transitions; numerical methods; semi-infinite plate; slightly viscous three-dimensional flow; transition to turbulence; turbulent flow; vortex methods; vortices; vorticity", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Wright:1990:ATP, author = "S. J. Wright and V. Pereyra", title = "Adaptation of a Two-Point Boundary Value Problem Solver to a Vector-Multiprocessor Environment", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "425--449", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (65F05 65Y05)", MRnumber = "91a:65208", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations); C7340 (Geophysics)", corpsource = "Dept. of Math., North Carolina State Univ., Raleigh, NC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "boundary-value problems; difference equations; finite-difference discretization; geophysics computing; linear equations; numerical methods; parallel algorithms; pipeline processing; seismic ray tracing; two-point boundary value problem solver; two-point boundary value problems; vector-multiprocessor environment; vectorizable algorithms", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Brown:1990:HKM, author = "Peter N. Brown and Youcef Saad", title = "Hybrid {Krylov} methods for nonlinear systems of equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "450--481", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (76M25)", MRnumber = "91e:65069", MRreviewer = "Tetsuro Yamamoto", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290K (Nonlinear and functional equations); C4130 (Interpolation and function approximation); C4150 (Nonlinear and functional equations)", corpsource = "Comput. and Math. Res. Div., Lawrence Livermore Nat. Lab., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Arnoldi method; conjugate gradient techniques; convergence of numerical methods; generalized minimum residual method; global convergence; iterative methods; Jacobian matrix; Jacobian system; Krylov subspace projection methods; linesearch backtracking procedures; Newton--Krylov algorithm; Newton-like iteration schemes; nonlinear equations; Powell dogleg strategy", treatment = "T Theoretical or Mathematical", } @Article{Thomas-Agnan:1990:SPC, author = "Christine Thomas-Agnan", title = "Smoothing Periodic Curves by a Method of Regularization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "482--502", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62G05 (62G09 62J02 65D10)", MRnumber = "91m:62074", MRreviewer = "K. C. Chanda", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290B (Error analysis in numerical methods); B0290F (Interpolation and function approximation); C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation)", corpsource = "Lab. de Stat. et Probabilites, Paul Sabatier Univ., Toulouse, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic rate of convergence; convergence of numerical methods; convergence rate; convolution functional; equispaced design points; error analysis; Fourier coefficient penalty; Fourier series; integrated mean square error; kernel estimates; noisy observations; nonparametric regression; periodic alpha -splines; periodic curve; polynomial smoothing splines; polynomials; regularization; series (mathematics); splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Hansen:1990:TSV, author = "Per Christian Hansen", title = "Truncated singular value decomposition solutions to discrete ill-posed problems with ill-determined numerical rank", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "503--518", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30", MRnumber = "91e:65058", MRreviewer = "Lars Eld{\'e}n", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Danish Comput. Centre for Res. and Educ., Tech. Univ. Denmark, Lyngby, Denmark", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "discrete ill-posed problems; discrete Picard condition; discretization; Fredholm integral equations; ill-conditioned least squares problems; ill-determined numerical rank; least squares approximations; matrix algebra; perturbation theory; smooth solutions; Tikhonov regularization; truncated singular value decomposition; truncated SVD method", treatment = "T Theoretical or Mathematical", } @Article{Chan:1990:CTS, author = "Tony F. Chan and Per Christian Hansen", title = "Computing truncated singular value decomposition least squares solutions by rank revealing ${QR}$-factorizations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "519--530", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30", MRnumber = "91e:65059", MRreviewer = "Lars Eld{\'e}n", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "inverse subspace iteration; least squares approximations; matrix algebra; numerical rank; rank deficient least squares problems; rank revealing QR-factorizations; truncated singular value decomposition least squares solutions; truncated SVD", treatment = "T Theoretical or Mathematical", } @Article{Foster:1990:PLD, author = "Leslie V. Foster", title = "The probability of large diagonal elements in the ${QR}$ factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "531--544", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (15A23 65R10)", MRnumber = "91k:65060", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Math. and Comput. Sci., San Jose State Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximate singularity; large diagonal elements; matrix algebra; minimum diagonal element; necessary conditions; probability; QR factorization; random matrices; rank deficiency; smallest singular value; sufficient conditions", treatment = "T Theoretical or Mathematical", } @Article{Abu-Shumays:1990:IBC, author = "I. K. Abu-Shumays", title = "Incomplete Block Cyclic Reduction as a Preconditioner for Polynomial Iterative Methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "545--562", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65B99 65N22)", MRnumber = "91k:65065", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "RT-Maths., Bettis Atom. Power Lab., West Mifflin, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Chebyshev approximation; Chebyshev methods; conjugate gradient polynomial iterative methods; convergence; CYBER 205 vector computer; discrete approximations; elliptic partial differential equations; incomplete block odd-even cyclic reduction; iterative methods; linear systems; matrix algebra; parallel processing; partial differential equations; polynomial iterative methods; polynomials; preconditioned polynomial methods; red/black partitioning; reduced system conjugate gradient method; slowly converging problems; tridiagonal matrix; two-dimensional elliptic equation", treatment = "T Theoretical or Mathematical", } @Article{Ho:1990:OTS, author = "Ching-Tien Ho and S. {Lennart Johnsson}", title = "Optimizing tridiagonal solvers for alternating direction methods on {Boolean} cube multiprocessors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "563--592", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (68Q25)", MRnumber = "91a:65070", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290H (Linear algebra); B0290P (Differential equations); C1180 (Optimisation techniques); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "IBM Almaden Res. Center, San Jose, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm comparison; alternating direction methods; Boolean cube multiprocessors; concurrent algorithms; data transposition; distributed memory; Intel iPSC/1; local elimination; multiple tridiagonal systems; odd-even cyclic reduction; optimisation; optimum tridiagonal solvers; parallel algorithms; parallel cyclic reduction; partial differential equations; performance model; pipelined elimination; pipelined Gaussian elimination; substructuring", treatment = "T Theoretical or Mathematical", } @Article{Ashcraft:1990:FAD, author = "Cleve Ashcraft and Stanley C. Eisenstat and Joseph W. H. Liu", title = "A Fan-In Algorithm for Distributed Sparse Numerical Factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "593--599", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65Y05)", MRnumber = "91a:65111", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cholesky factor; column-oriented distributed algorithm; distributed sparse numerical factorization; fan-in algorithm; Intel iPSC/2 hypercube; local-memory parallel processor; matrix algebra; parallel algorithms; sparse symmetric positive definite matrix", treatment = "T Theoretical or Mathematical", } @Article{Barlow:1990:USZ, author = "Jesse L. Barlow", title = "On the Use of Structural Zeros in Orthogonal Factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "3", pages = "600--601", month = may, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65G05)", MRnumber = "91a:65113", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ., University Park, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "active set methods; least squares approximations; matrix algebra; nonzeros; numerical upper triangular factor; orthogonal factorization; sparse inequality-constrained least squares problems; sparse matrix; static data structure; structural zeros; symbolic factorisation", treatment = "T Theoretical or Mathematical", } @Article{Greengard:1990:PFC, author = "L. Greengard", title = "Potential Flow in Channels", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "603--620", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76M25 (76C05 76D99 78A30)", MRnumber = "91e:76083", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4760 (Flows in ducts, channels, and conduits); A4780 (Instrumentation for fluid dynamics); C7320 (Physics and Chemistry)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic representations; channel flow; flow measurement; Green function; induced velocity field; infinite channels; machine precision; performance; physics computing; potential field; potential flows; recursive subdivision; source position; sources; space; zero normal flow boundary condition", treatment = "T Theoretical or Mathematical", } @Article{Bogle:1990:NSP, author = "I. D. L. Bogle and J. D. Perkins", title = "A New Sparsity Preserving Quasi-{Newton} Update for Solving Nonlinear Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "621--630", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (90C30)", MRnumber = "91f:65099", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); C4150 (Nonlinear and functional equations)", corpsource = "Dept. of Chem. Eng., Adelaide Univ., SA, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "least relative change; nonlinear equations; row scaling; scale-invariant; sparsity preserving quasi-Newton update; updated matrix", treatment = "T Theoretical or Mathematical", } @Article{Christov:1990:FSM, author = "C. I. Christov and K. L. Bekyarov", title = "A {Fourier}-Series Method for Solving Soliton Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "631--647", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65P05 (76B25 76M25)", MRnumber = "91g:65275", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0340G (Fluid dynamics: general mathematical aspects); A0340K (Waves and wave propagation: general mathematical aspects); A4735 (Waves); C7320 (Physics and Chemistry)", corpsource = "Lab. of Hydrometeorological Inf., Hydrometeorological Service, Bulgarian Acad. of Sci., Sofia, Bulgaria", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "complete orthonormal system; continuous spectrum; convergence; convergence of numerical methods; difference solution; discretization errors; Fourier--Galerkin method; homoclinic solutions; identification; Korteweg--de Vries equation; Kuramoto--Sivashinsky equation; one-soliton solution; phase velocities; physics computing; pointwise assessment; series (mathematics); soliton problems; soliton shape; solitons; trial functions; truncation errors; wave equations", treatment = "T Theoretical or Mathematical", } @Article{Higham:1990:FPD, author = "Nicholas J. Higham and Robert S. Schreiber", title = "Fast Polar Decomposition of an Arbitrary Matrix", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "648--655", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05", MRnumber = "91g:65061", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Comput. Sci., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "arbitrary matrix; complete orthogonal decomposition; condition estimator; full rank; Hermitian positive semidefinite matrix; Higham; hybrid algorithm; iterative methods; matrix algebra; matrix inverse; matrix inversion based iteration; matrix multiplication based iteration; Newton iteration; polar decomposition; positive semidefinite square root; quadratically convergent algorithm", treatment = "T Theoretical or Mathematical", } @Article{Rasch:1990:SPI, author = "Philip J. Rasch and David L. Williamson", title = "On Shape-Preserving Interpolation and Semi-{Lagrangian} Transport", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "656--687", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D05 (65M99)", MRnumber = "91f:65020", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Nat. Center for Atmos. Res., Boulder, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Akima; arithmetic; convexity; cosine bell; derivative estimates; evenly spaced data; Fritsch-Butland; Gaussian; geometric; harmonic means; Hyman; interpolating forms; interpolation; monotonicity; one-dimensional advection; piecewise cubic polynomials; piecewise quadratic Bernstein polynomials; piecewise rational quadratic and cubic polynomials; semi-Lagrangian transport; shape-preserving interpolation; test shapes; triangle; uniform velocity field", treatment = "T Theoretical or Mathematical", } @Article{Chu:1990:BMS, author = "King-wah Eric Chu", title = "Bordered matrices, singular systems, and ergodic {Markov} chains", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "688--701", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65F35)", MRnumber = "92d:65059", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); C1110 (Algebra); C1140Z (Other and miscellaneous); C4140 (Linear algebra)", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bordered matrices; ergodic Markov chains; linear equations; Markov processes; matrix algebra; singular M-matrices; singular systems; stability analysis; stationary distribution vectors; submatrices", treatment = "T Theoretical or Mathematical", } @Article{Yakowitz:1990:RSP, author = "S. Yakowitz and E. Lugosi", title = "Random Search in the Presence of Noise, with Application to Machine Learning", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "702--712", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "68T05 (62G05 62L20 90C40)", MRnumber = "91h:68153", MRreviewer = "Erkki Oja", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C1160 (Combinatorial mathematics); C1180 (Optimisation techniques); C1240 (Adaptive system theory)", corpsource = "Dept. of Syst. and Ind. Eng., Arizona Univ., AZ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "8-puzzle problems; adaptive systems; adaptively improving strategy; convergent; global minimum; learning systems; machine learning; minimisation; noise; probability; random search; search problems; sequential noisy measurements", treatment = "T Theoretical or Mathematical", } @Article{Schumaker:1990:GCV, author = "Larry L. Schumaker and Florencio I. Utreras", title = "On Generalized Cross Validation for Tensor Smoothing Splines", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "713--731", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (41A15)", MRnumber = "91f:65032", MRreviewer = "Bao Sheng Kang", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Vanderbilt Univ., Nashville, TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "asymptotic optimisation; automatic selection; complete tensor-product smoothing splines; computational aspects; data fitting; generalized cross validation; grid; natural tensor-product smoothing spline; noisy data; parameter selection; periodic tensor-product smoothing splines; smoothing parameter; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{Tortorella:1990:CNC, author = "Michael Tortorella", title = "Closed {Newton--Cotes} Quadrature Rules for {Stieltjes} Integrals and Numerical Convolution of Life Distributions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "732--748", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D30 (60E05 62N05 65U05)", MRnumber = "91g:65049", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290M (Numerical integration and differentiation); B0290R (Integral equations); C1140Z (Other and miscellaneous); C4160 (Numerical integration and differentiation); C4180 (Integral equations)", corpsource = "AT and T Bell Lab., Holmdel, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "applied probability models; closed Newton--Cotes quadrature rules; error analyses; integral equations; integration; life distributions; numerical computation; numerical convolution; numerical evaluation; probability; Stieltjes integrals", treatment = "T Theoretical or Mathematical", } @Article{Anderson:1990:SPS, author = "Stewart J. Anderson and Richard H. Jones and George D. Swanson", title = "Smoothing Polynomial Splines for Bivariate Data", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "749--766", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (65D07)", MRnumber = "91f:65031", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B6140 (Signal processing and detection); C1260 (Information theory); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Biostat., Pittsburgh Univ., Pittsburgh, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bivariate response data; correlation; covariance matrices; diffuse priors; exercising subjects; fit; gas exchange time series; integrated random walks; Kalman filter; Kalman filters; log likelihood; maximum likelihood estimates; noninformative priors; nonlinear optimization; observational errors; polynomials; smoothing polynomial spline; splines (mathematics); unknown parameters", treatment = "T Theoretical or Mathematical", } @Article{Kuo:1990:TCF, author = "C.-C. Jay Kuo and Tony F. Chan", title = "Two-Color {Fourier} Analysis of Iterative Algorithms for Elliptic Problems with Red\slash Black Ordering", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "767--793", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N12 (65F10)", MRnumber = "91g:65225", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0220 (Analysis); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1120 (Analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Electr. Eng. Syst., Single and Image Processing Inst., Univ. of Southern California, Los Angeles, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence of numerical methods; convergence rates; elliptic partial differential equations; elliptic problems; Fourier analysis; Fourier tool; iterative algorithms; iterative methods; multigrid; parallel algorithms; parallelism; partial differential equations; preconditioned iterative methods; preconditioners; red/black ordering; successive over-relaxation; symmetric successive over-relaxation; two-color Fourier analysis", treatment = "T Theoretical or Mathematical", } @Article{Chan:1990:NED, author = "Tony F. Chan and Danny Goovaerts", title = "A Note on the Efficiency of Domain Decomposed Incomplete Factorizations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "794--803", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65F35)", MRnumber = "91f:65189", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0220 (Analysis); B0290F (Interpolation and function approximation); B0290P (Differential equations); C1120 (Analysis); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence rates; domain decomposed incomplete factorizations; efficiency; elliptic problems; incomplete factorization preconditioners; iterative methods; iterative solutions; parallel algorithms; parallelization; partial differential equations; preconditioned conjugate gradient iteration", treatment = "T Theoretical or Mathematical", } @Article{Higham:1990:EMN, author = "Nicholas J. Higham", title = "Experience with a Matrix Norm Estimator", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "4", pages = "804--809", month = jul, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35", MRnumber = "91f:65081", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Dept. of Math., Manchester Univ., UK", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "1-norm; complex matrix; Fortran 77 codes; iterations; iterative methods; matrix algebra; matrix norm estimator; maximum; norm estimation algorithm; real matrix", treatment = "T Theoretical or Mathematical", } @Article{ONeil:1990:BOM, author = "James O'Neil and Daniel B. Szyld", title = "A Block Ordering Method for Sparse Matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "811--823", month = sep, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (05C85 65F10)", MRnumber = "91f:65087", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "BDM Int. Inc., McLean, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "block iterative methods; block ordering method; combinatorial considerations; iterative methods; matrix algebra; numerical test results; sparse matrices", treatment = "T Theoretical or Mathematical", } @Article{Womble:1990:TSA, author = "David E. Womble", title = "A Time-Stepping Algorithm for Parallel Computers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "824--837", month = sep, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05 (65M99)", MRnumber = "91g:65325", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C7310 (Mathematics)", corpsource = "Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "convergence properties; differential equations; iterative method; mathematics computing; parallel computers; partial differential equations; performance model; time-stepping algorithm", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Worley:1990:ETC, author = "Patrick H. Worley", title = "The Effect of Time Constraints on Scaled Speedup", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "838--858", month = sep, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05", MRnumber = "91g:65326", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C7310 (Mathematics)", corpsource = "Math. Sci. Section, Oak Ridge Nat. Lab., TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "distributed-memory multiprocessors; mathematics computing; scaled speedup; scientific computation; time constraints; upper bound", treatment = "P Practical", } @Article{Eisenstat:1990:EPP, author = "S. C. Eisenstat and J. M. Ortega and C. T. Vaughan", title = "Efficient Polynomial Preconditioning for the Conjugate Gradient Method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "859--872", month = sep, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65N22)", MRnumber = "91g:65064", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Comput. Sci., Yale Univ., New Haven, CT, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conjugate gradient method; m-step; polynomial preconditioning; polynomials; SSOR preconditioning", treatment = "T Theoretical or Mathematical", } @Article{Demmel:1990:ASV, author = "James Demmel and W. Kahan", title = "Accurate Singular Values of Bidiagonal Matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "873--912", month = sep, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "91i:65072", MRreviewer = "J. Segethov{\'a}", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bidiagonal matrices; iterative methods; matrix algebra; singular value decomposition", treatment = "T Theoretical or Mathematical", } @Article{Arioli:1990:UAC, author = "Mario Arioli and Iain S. Duff and Nicholas I. M. Gould and John K. Reid", title = "Use of the ${P}^4$ and ${P}^5$ algorithms for in-core factorization of sparse matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "913--927", month = sep, year = "1990", CODEN = "SIJCD4", DOI = "http://dx.doi.org/10.1137/0911053", ISSN = "0196-5204", MRclass = "65F50", MRnumber = "91f:65084", bibdate = "Mon Jan 02 17:53:34 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", abstract = "Variants of the P/sup 4/ algorithm of Hellerman and Rarick and the P/sup 5/ algorithm of Erisman, Grimes, Lewis, and Poole, used for generating a bordered block triangular form for the in-core solution of sparse sets of linear equations, are considered. A particular concern is with maintaining numerical stability. Methods for ensuring stability and the extra cost that they entail are discussed. Different factorization schemes are also examined. The uses of matrix modification and iterative refinement are considered, and the best variant is compared with an established code for the solution of unsymmetric sparse sets of linear equations. The established code is usually found to be the most effective method.", acknowledgement = ack-nhfb, affiliation = "Centre Eur. de Recherche et de Formation Avanc{\'e}e en Calcul Sci., Toulouse, France", classification = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Centre Eur. de Recherche et de Formation Avanc{\'e}e en Calcul Sci., Toulouse, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bordered block triangular form; factorization; in-core factorization; iterative refinement; linear equations; numerical stability; P/sup 4/ algorithm; P/sup 5/ algorithm; sparse matrices; unsymmetric sparse sets", thesaurus = "Iterative methods; Linear programming; Matrix algebra", treatment = "T Theoretical or Mathematical", } @Article{Howell:1990:MSC, author = "Louis H. Howell and Lloyd N. Trefethen", title = "A Modified {Schwarz--Christoffel} Transformation for Elongated Regions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "928--949", month = sep, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C20 (30C30 65D30)", MRnumber = "92j:30006", MRreviewer = "G. Opfer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations); C7310 (Mathematics)", corpsource = "Lawrence Livermore Lab., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "arbitrary polygonal channel; conformal map; elongated regions; integral equations; mathematics computing; modified Schwarz--Christoffel transformation; numerical integration", treatment = "T Theoretical or Mathematical", } @Article{Majda:1990:NSM, author = "A. J. Majda and V. Roytburd", title = "Numerical Study of the Mechanisms for Initiation of Reacting Shock Waves", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "950--974", month = sep, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76L05 (76M25 80A32)", MRnumber = "92c:76044", MRreviewer = "Darrell L. Hicks", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4630M (Vibrations, aeroelasticity, hydroelasticity, mechanical waves, and shocks); A4740N (Shock-wave interactions); C7320 (Physics and Chemistry)", corpsource = "Dept. of Math., Princeton Univ., NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "exothermic reaction centers; inviscid reactive Euler equations; one-step irreversible Arrhenius kinetics; physics computing; reacting shock waves; shock waves", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Dax:1990:CRM, author = "Achiya Dax and Brian Berkowitz", title = "Column Relaxation Methods for Least Norm Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "975--989", month = sep, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K05 (90C20)", MRnumber = "91g:65149", MRreviewer = "Siegfried Helbig", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Hydrological Service, Jerusalem, Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "column relaxation methods; inconsistent system of linear equations; least norm problems; minimisation", treatment = "T Theoretical or Mathematical", } @Article{Chu:1990:FDM, author = "Eleanor Chu and Alan George", title = "{$QR$} Factorization of a Dense Matrix on a Hypercube Multiprocessor", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "990--1028", month = sep, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65Y05)", MRnumber = "91g:65059", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C7310 (Mathematics)", corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "complexity analysis; data proximity; dense matrix; global communication scheme; hypercube multiprocessor; Intel Hypercube multiprocessor; mathematics computing; QR factorization; rectangular matrix; two-dimensional subcube-grid", treatment = "P Practical", } @Article{Quarteroni:1990:DDM, author = "Alfio Quarteroni", title = "Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1029--1052", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65M55 65M70 65N35)", MRnumber = "91k:65156", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis)", corpsource = "Dipartimento di Matematica, Univ. Cattolica, Brescia, Italy", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conservation laws; convergence analysis; convergence of numerical methods; difference equations; domain decomposition; error-reduction factor; finite difference schemes; hyperbolic systems; iteration-by-subdomain procedure; iterative methods; nonlinear problem; spectral collocation approximations", treatment = "T Theoretical or Mathematical", } @Article{Ma:1990:MCS, author = "F. Ma and M. S. Wei", title = "{Monte Carlo} simulation of linear two-phase flow in heterogeneous media", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1053--1072", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C20 (65U05 76-08 76T05)", MRnumber = "1 068 496", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0250 (Probability theory, stochastic processes, and statistics); A4755K (Multiphase flows); A4755M (Flow through porous media); C7320 (Physics and Chemistry)", corpsource = "Dept. of Mech. Eng., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "absolute permeability; algorithmic formulation; computer-synthesized waterflooding experiment; correlation structure; cumulative recovery; flow through porous media; heterogeneity; heterogeneous media; inherent variability; least-squares procedure; linear two-phase flow; Monte Carlo methods; Monte Carlo simulation; oil pressure head; physics computing; porous medium; stochastic mechanics; stochastic processes; two-phase flow; uncertainties", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Douglas:1990:FHS, author = "Craig C. Douglas and Jan Mandel and Willard L. Miranker", title = "Fast Hybrid Solution of Algebraic Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1073--1086", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65F35)", MRnumber = "91i:65080", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Sci., IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algebraic systems; conjugate gradient methods; error; hybrid circuit; iterative solution; preconditioner; sparse linear systems of equations; standard multilevel algorithm; timing", treatment = "T Theoretical or Mathematical", } @Article{Williams:1990:ISN, author = "M. A. Williams and D. G. Wilson", title = "Iterative Solution of a Nonlinear System Arising in Phase-Change Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1087--1101", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (65P05 80A22)", MRnumber = "91i:65100", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0560 (Transport processes: theory); A4725Q (Convection and heat transfer); C7320 (Physics and Chemistry)", corpsource = "Dept. of Math., Lehigh Univ., Bethlehem, PA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conjugate gradient methods; Cray X-MP48; FORTRAN; heat transfer; IBM 3090-200 S/VF; implicit discretization; iterative solution; nonlinear system; phase transformations; phase-change problems; physics computing; preconditioned conjugate gradient; selective successive overrelaxation; three-dimensional Stefan problem", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Gander:1990:APD, author = "Walter Gander", title = "Algorithms for the Polar Decomposition", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1102--1115", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30", MRnumber = "91j:65070", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. fur Wissenschaftliches Rechnen, ETH Zentrum, Zurich, Switzerland", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "iterative methods; matrix algebra; Newton's iteration; polar decomposition; rank deficient matrices; rectangular matrices; reliable quadratically convergent algorithm; square nonsingular matrix", treatment = "T Theoretical or Mathematical", } @Article{Coleman:1990:SSN, author = "Thomas F. Coleman and Guang Ye Li", title = "Solving Systems of Nonlinear Equations on a Message-Passing Multiprocessor", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1116--1135", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (65K05 65Y05)", MRnumber = "91i:65096", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290K (Nonlinear and functional equations); B0290P (Differential equations); C4150 (Nonlinear and functional equations); C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Center for Appl. Math., Cornell Univ., Ithaca, NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "difference equations; distributed finite-difference Newton method; Intel hypercube; message-passing multiprocessor; multiple secant method; nonlinear equations; parallel algorithms; rank-1 secant method; systems of nonlinear equations", treatment = "T Theoretical or Mathematical", } @Article{Schnabel:1990:NMC, author = "Robert B. Schnabel and Elizabeth Eskow", title = "A new modified {Cholesky} factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1136--1158", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65K10)", MRnumber = "92a:65133", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); C1180 (Optimisation techniques)", corpsource = "Dept. of Comput. Sci., Colorado Univ., Boulder, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Cholesky factorization; Gerschgorin bounds; optimisation; optimization algorithms", treatment = "T Theoretical or Mathematical", } @Article{Konstantinov:1990:PAM, author = "M. M. Konstantinov and P. Hr. Petkov and N. D. Christov", title = "Perturbation Analysis of Matrix Quadratic Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1159--1163", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "15A24 (65F30 65G99 93B40)", MRnumber = "91m:15021", MRreviewer = "Ilmar Arro", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290H (Linear algebra); C1180 (Optimisation techniques); C4140 (Linear algebra)", corpsource = "Inst. of Eng. Cybern. and Robotics, Sofia, Bulgaria", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "continuous-time algebraic matrix Riccati equation; contractive operators; linear algebra; linear-quadratic optimization; matrix quadratic equations; nonlocal perturbation analysis; perturbation techniques; quadratic programming", treatment = "T Theoretical or Mathematical", } @Article{Fishman:1990:SAU, author = "George S. Fishman", title = "Sensitivity analysis using the {Monte Carlo} acceptance-rejection method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1164--1180", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C05 (65U05)", MRnumber = "91i:65006", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0170N (Reliability); B0240G (Monte Carlo methods); B1130 (General analysis and synthesis methods); C1140G (Monte Carlo methods); C1310 (Analysis and synthesis methods)", corpsource = "Dept. of Oper. Res., North Carolina Univ., Chapel Hill, NC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "circuit reliability; Monte Carlo acceptance-rejection method; Monte Carlo methods; reliability analysis; s-t reliability; sensitivity analysis; system performance measures; worst-case bounds", treatment = "T Theoretical or Mathematical", } @Article{Huitfeldt:1990:NAN, author = "Jacques Huitfeldt and Axel Ruhe", title = "A New Algorithm for Numerical Path Following Applied to an Example from Hydrodynamical Flow", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1181--1192", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H17 (76D99 76M25)", MRnumber = "91j:65095", MRreviewer = "Fu Ming Ma", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0210 (Algebra, set theory, and graph theory); A4710 (General theory, simulation and other computational methods)", corpsource = "Dept. of Comput. Sci., Chalmers Univ. of Technol., Goteborg, Sweden", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithm; Arnoldi iteration; eigenvalues and eigenfunctions; Euler-Newton continuation method; Hessenberg matrix; hydrodynamical flow; hydrodynamics; Jacobian matrix; nonlinear eigenvalue problem; numerical path following; preconditioner; Taylor problem", treatment = "T Theoretical or Mathematical", } @Article{Hurley:1990:AHD, author = "Catherine Hurley and Andreas Buja", title = "Analyzing High-Dimensional Data with Motion Graphics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1193--1211", month = nov, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C6130B (Graphics techniques)", corpsource = "Dept. of Stat. Comput. and Inf. Syst., George Washington Univ., Washington, DC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "analyzing high-dimensional data; computer graphics; data handling; motion graphics; real-time graphics; three dimensional point cloud rotations", treatment = "P Practical", } @Article{Smith:1990:DDA, author = "Barry F. Smith and Olof B. Widlund", title = "A Domain Decomposition Algorithm Using a Hierarchical Basis", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1212--1220", month = nov, year = "1990", CODEN = "SIJCD4", DOI = "http://dx.doi.org/10.1137/0911069", ISSN = "0196-5204", MRclass = "65F35 (65N55)", MRnumber = "1068505 (91m:65125)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "coarsest mesh; conjugate gradient methods; domain decomposition algorithm; elliptic finite element problems; finite element analysis; hierarchical basis; linear algebra; multigrid method; neighboring subregions; preconditioned conjugate gradient methods; preconditioner", treatment = "T Theoretical or Mathematical", } @Article{Lustman:1991:SLO, author = "L. Lustman and B. Neta and C. P. Katti", title = "Solution of Linear Ordinary Differential Systems on an {INTEL} Hypercube", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "??", pages = "1480--1485", month = "????", year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/n/neta-beny.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Worley:1991:LPN, author = "Patrick H. Worley", title = "Limits on Parallelism in the Numerical Solution of Linear Partial Differential Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "1--35", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05 (65M99 65N99)", MRnumber = "92a:65366", MRreviewer = "Mo Mu", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4240 (Programming and algorithm theory)", corpsource = "Math. Sci. Section, Oak Ridge Nat. Lab., TN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; error tolerance; execution time; floating point arithmetic; interconnection network; linear differential equations; linear partial differential equations; lower bound; numerical solution; parallel algorithms; parallelism; partial differential equations; problem-dependent constant", treatment = "T Theoretical or Mathematical", } @Article{Bischof:1991:PFA, author = "Christian H. Bischof", title = "A Parallel {$QR$} Factorization Algorithm with Controlled Local Pivoting", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "36--57", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65Y05)", MRnumber = "91j:65055", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory)", corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "column pivoting; controlled local pivoting; distributed memory; Householder algorithm; incremental condition estimation; Intel iPSC/1; iPSC/2 hypercubes; linear algebra; MIMD machine; numerical behavior; parallel algorithms; parallel machine; parallel QR factorization algorithm; range space; rank", treatment = "T Theoretical or Mathematical", } @Article{Brown:1991:TCA, author = "Peter N. Brown", title = "A theoretical comparison of the {Arnoldi} and {GMRES} algorithms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "58--78", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05", MRnumber = "92e:65035", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Div. of Comput. and Math. Res., Lawrence Livermore Nat. Lab., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Arnoldi algorithm; differential equations; generalized minimum residual method; GMRES algorithms; Krylov methods; linear algebra; linear systems; norms; residuals", treatment = "T Theoretical or Mathematical", } @Article{Greengard:1991:FGT, author = "Leslie Greengard and John Strain", title = "The fast {Gauss} transform", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "79--94", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R10", MRnumber = "91i:65205", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "applied mathematics; arbitrarily distributed points; direct evaluation; divide-and-conquer strategy; fast Gauss transform; Hermite expansions; polynomials; series (mathematics); Taylor series; transforms", treatment = "T Theoretical or Mathematical", } @Article{Henkel:1991:RLS, author = "Charles S. Henkel and Robert J. Plemmons", title = "Recursive Least Squares on a Hypercube Multiprocessor Using the Covariance Factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "95--106", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65U05)", MRnumber = "91i:65081", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1260 (Information theory); C4130 (Interpolation and function approximation); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Nucl. Eng., North Carolina State Univ., Raleigh, NC, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "64-node system; adaptive filtering methods; covariance factorization; distributed-memory multiprocessor; fast recursive least squares computations; Hessian matrix; hypercube multiprocessor; Intel iPSC/2 hypercube; least squares approximations; optimization; parallel algorithms; parallel implementation; robust regression; signal processing; statistics", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Devroye:1991:AGD, author = "Luc Devroye", title = "Algorithms for Generating Discrete Random Variables with a Given Generating Function or a Given Moment Sequence", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "107--126", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C10", MRnumber = "91i:65009", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C5230 (Digital arithmetic methods); C7310 (Mathematics)", corpsource = "Sch. of Comput. Sci., McGill Univ., Montreal, Que., Canada", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "discrete random variables generating algorithms; generating function; moment sequence; positive integer-valued random variables; random number generation", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Fairweather:1991:RNS, author = "Graeme Fairweather and Rick D. Saylor", title = "The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "127--144", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M60", MRnumber = "91i:65164", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290R (Integral equations); C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math. and Eng. Mech., Kentucky Univ., Lexington, KY, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "biological processes; boundary conditions; boundary-value problems; chemical diffusion; Crank--Nicolson finite-element Galerkin method; diffusion equation; finite-difference method; heat conduction processes; initial value problems; integro-differential equations; nonclassical initial-boundary value problems; nuclear reactor dynamics; numerical solution; partial differential equation; partial differential equations; population dynamics; reformulation; software packages; space variable; spatial derivative; spatial domain; thermoelasticity; vibration problems", treatment = "T Theoretical or Mathematical", } @Article{Baden:1991:PAD, author = "Scott B. Baden", title = "Programming Abstractions for Dynamically Partitioning and Coordinating Localized Scientific Calculations Running on Multiprocessors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "145--157", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05", MRnumber = "91i:65218", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods); A4730 (Rotational flow, vortices, buoyancy and other flows involving body forces); C6110B (Software engineering techniques); C7310 (Mathematics); C7320 (Physics and Chemistry)", corpsource = "Lawrence Berkeley Lab., California Univ., Berkeley, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational fluid dynamics; concurrently executing processors; coordinating localized scientific calculations; Cray X-MP; data structures; dynamically partitioning; finite difference methods; flow simulation; Intel iPSC-1; load balancing; mathematics computing; message-passing hypercube architecture; multiprocessors; physics computing; programming abstractions; shared-memory vector architecture; software abstractions; software portability; vortex method; vortices", treatment = "A Application; P Practical", } @Article{Alpert:1991:FAE, author = "Bradley K. Alpert and Vladimir Rokhlin", title = "A fast algorithm for the evaluation of {Legendre} expansions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "158--179", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D20 (41A50)", MRnumber = "91i:65042", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Lawrence Berkeley Lab., California Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "approximation theory; Chebyshev approximation; Chebyshev nodes; evaluation of Legendre expansions; fast algorithm; fast Fourier transform; finite Legendre series; polynomials; rapid calculation", treatment = "T Theoretical or Mathematical", } @Article{Trangenstein:1991:RPL, author = "John A. Trangenstein and Richard B. Pember", title = "The {Riemann} problem for longitudinal motion in an elastic-plastic bar", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "180--207", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "73E70 (35Q15 73D40 73K12)", MRnumber = "91h:73027", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0340D (Mathematical theory of elasticity); A4630C (Elasticity); A4630J (Viscoelasticity, plasticity, viscoplasticity, creep, and stress relaxation)", corpsource = "Div. of Comput. and Math. Res., Lawrence Livermore Nat. Lab., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Antman-Szymczak model; characteristic speeds; compression; elastic-plastic bar; elasticity; elastoplasticity; limiting behavior; longitudinal motion; numerical algorithms; plastic yield; Riemann problem; self-similar coordinates; state-space coordinates; tension", treatment = "T Theoretical or Mathematical", } @Article{Decker:1991:NPE, author = "Naomi H. Decker", title = "A note on the parallel efficiency of the {Frederickson--McBryan} multigrid algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "208--220", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05 (65N55)", MRnumber = "91j:65206", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory); C7310 (Mathematics)", corpsource = "NASA Langley Res. Center, Hampton, VA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "coarsest grids; communication requirements; convergence rate; convergence rates; Frederickson--McBryan multigrid algorithm; large-scale parallel computers; mathematics computing; normalised computation; parallel algorithms; parallel efficiency; processor idle time; processor utilization", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Frederickson:1991:NCR, author = "Paul O. Frederickson and Oliver A. McBryan", title = "Normalized Convergence Rates for the {PSMG} Method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "1", pages = "221--229", month = jan, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05 (65P05)", MRnumber = "91j:65207", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C7310 (Mathematics)", corpsource = "NASA Ames Res. Center, Moffett field, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "fourth-order accurate solutions; mathematics computing; multiscale PDE solver; normalised convergence rates; parallel arithmetic and communication operations; parallel superconvergent multigrid; partial differential equations; Poisson-type equations; PSMG", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Pearce:1991:CMN, author = "Kent Pearce", title = "A Constructive Method for Numerically Computing Conformal Mappings for Gearlike Domains", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "231--246", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30 (30C20 30C45 65E05)", MRnumber = "92a:30007", MRreviewer = "F. W. Stallmann", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4290 (Other computer theory)", corpsource = "Dept. of Math., Texas Tech. Univ., Lubbock, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational geometry; constructive method; forward mapping functions; gearlike domains; inverse mapping functions; numerically computing conformal mappings; radial lines; segments", treatment = "T Theoretical or Mathematical", } @Article{Schafer:1991:PAN, author = "Michael Sch{\"a}fer", title = "Parallel Algorithms for the Numerical Solution of Incompressible Finite Elasticity Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "247--259", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65Y05 73G05 73V20)", MRnumber = "91m:65278", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A4630C (Elasticity); C4240 (Programming and algorithm theory); C7320 (Physics and Chemistry)", corpsource = "Erlangen-N{\"u}rnberg Univ., West Germany", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "augmented Lagrangian formulation; block relaxation process; discrete systems; elasticity; finite element analysis; finite-element methods; incompressible finite elasticity problems; numerical solution; parallel algorithms; physics computing; three-dimensional equilibrium problems; variational problems", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Shampine:1991:DSR, author = "Lawrence F. Shampine", title = "Diagnosing stiffness for {Runge--Kutta} methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "260--272", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L06", MRnumber = "92a:65218", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Southern Methodist Univ., Dallas, TX, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "code; diagnosing stiffness; differential equations; initial value problem; initial value problems; nonstiff problems; ordinary differential equations; Runge--Kutta methods", treatment = "T Theoretical or Mathematical", } @Article{Murota:1991:CUG, author = "Kazuo Murota and Kiyohiro Ikeda", title = "Computational Use of Group Theory in Bifurcation Analysis of Symmetric Structures", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "273--297", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H17 (58F14 65Y20 73H99 73K12)", MRnumber = "92a:65174", MRreviewer = "P. Rochus", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4240 (Programming and algorithm theory)", corpsource = "Dept. of Math. Eng. and Inf. Phys., Tokyo Univ., Japan", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "computational complexity; computational procedure; dihedral groups; global bifurcation analysis; group theory; Jacobian matrix; static behavior; symmetric discrete structures; symmetric structures; symmetric truss domes", treatment = "T Theoretical or Mathematical", } @Article{Vesely:1991:FCS, author = "V{\'i}t{\v{e}}zslav Vesel\'y", title = "Fast Cell-Structured Algorithm for Digit Reversal of Arbitrary Length", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "298--310", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65-04 (65F30 65T20)", MRnumber = "91m:65001", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods); C7310 (Mathematics)", corpsource = "Inst. of Phys. Metall., Czechoslovak Acad. of Sci., Brno, Czechoslovakia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "arbitrary length; digit reversal; fast cell-structured algorithm; fast Fourier transform; fast Fourier transforms; FFT; FORTRAN77 subprograms; mathematics computing", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Lee:1991:DCM, author = "David Lee", title = "Detection, Classification, and Measurement of Discontinuities", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "311--341", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "94A12 (26A27 65D99 94A13)", MRnumber = "91m:94004", MRreviewer = "Solomon Marcus", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4290 (Other computer theory)", corpsource = "AT and T Bell Labs., Murray Hill, NJ, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "classification; computational geometry; curve fitting; discontinuities; discontinuity detection; linear filter; measurement; necessary and sufficient conditions; one-to-one correspondence; pattern matching; pattern search; sampled noisy data; scaled pattern; splines; splines (mathematics); statistical method; white noise", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Wolfenbarger:1991:RSA, author = "J. Kenneth Wolfenbarger and John H. Seinfeld", title = "Regularized Solutions to the Aerosol Data Inversion Problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "342--361", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "45B05 (65R20 86A10)", MRnumber = "92a:45004", MRreviewer = "Paul Eggermont", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A8270R (Aerosols and foams); A9260M (Particles and aerosols)", corpsource = "Dept. of Chem. Eng., California Inst. of Technol., Pasadena, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "aerosol data inversion problem; aerosols; approximate form; discrepancy; generalized cross validation; inverse problems; inverted errors; linearly constrained inverse problem; particle size; regularized solutions; smoothing parameter; unbiased estimate", treatment = "T Theoretical or Mathematical", } @Article{Osborne:1991:MPA, author = "M. R. Osborne and G. K. Smyth", title = "A modified {Prony} algorithm for fitting functions defined by difference equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "362--382", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D15 (39A10 62J02)", MRnumber = "92a:65060", MRreviewer = "Ilmar Arro", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Stat. Sect., Sch. of Math., Australian Nat. Univ., Canberra, ACT, Australia", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "curve fitting; difference equations; differential equations; eigenvalues and eigenfunctions; exponential fitting; exponential functions; fitting functions; least squares approximations; least squares fitting; Levenberg algorithm; modified Prony algorithm; nonlinear eigenproblem; null space; rational fitting; separable regression; stability", treatment = "T Theoretical or Mathematical", } @Article{Gu:1991:MGG, author = "Chong Gu and Grace Wahba", title = "Minimizing {GCV\slash GML} scores with multiple smoothing parameters via the {Newton} method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "383--398", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (49M15 65K10 65Y10)", MRnumber = "92a:65051", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Stat., Purdue Univ., West Lafayette, IN, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "curve fitting; data sets; fitting additive; generalized cross validation; generalized maximum likelihood; interaction spline models; invariance; maximum likelihood; minimisation; multiple smoothing parameters; Newton method; optimisation; splines (mathematics)", treatment = "T Theoretical or Mathematical", } @Article{DeLillo:1991:CSN, author = "Thomas K. DeLillo and Alan R. Elcrat", title = "A Comparison of Some Numerical Conformal Mapping-Methods for Exterior Regions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "399--422", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "91k:30015", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4190 (Other numerical methods)", corpsource = "Dept. of Math. and Stat., Wichita State Univ., KS, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conjugation; curve fitting; exterior regions; fast Fourier transforms; Fourier series; Friberg method; numerical conformal mapping methods; series (mathematics); smooth curve; Theodorsen method; Timman method; unit disk; Wegmann method", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Boisvert:1991:AST, author = "Ronald F. Boisvert", title = "Algorithms for Special Tridiagonal Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "423--442", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65N22)", MRnumber = "91m:65077", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Center for Comput. and Appl. Math., Nat. Inst. of Stand. and Technol., Gaithersburg, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "algorithms; constant diagonals; constant-coefficient elliptic partial differential equations; floating point operation counts; Fourier method; linear equations; matrix algebra; partial differential equations; periodic boundary conditions; single scalar processor; slightly perturbed systems; specialized LU factorization; symmetric diagonally dominant; tridiagonal systems", treatment = "T Theoretical or Mathematical", } @Article{Georg:1991:AIB, author = "Kurt Georg", title = "Approximation of Integrals for Boundary Element Methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "443--453", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N38 (65N50 65R20)", MRnumber = "92a:65314", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290R (Integral equations); C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "adaptive refinement procedure; approximation theory; boundary element methods; boundary-elements methods; curved subdivision; extrapolation; extrapolation method; integral equations; integrals approximation; standard measure; surface area; triangulations", treatment = "T Theoretical or Mathematical", } @Article{Castillo:1991:DVG, author = "Jos{\'e} E. Castillo", title = "A Discrete Variational Grid Generation Method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "2", pages = "454--468", month = mar, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65K10 (65N50 90C30)", MRnumber = "92g:65071", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0260 (Optimisation techniques); B0290F (Interpolation and function approximation); C1180 (Optimisation techniques); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math. Sci., San Diego State Univ., CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conjugate gradient method; conjugate gradient methods; discrete variational grid generation method; grid points; irregular geometries; large scale nonlinear minimization problem; minimisation; minimization problem; numerical partial differential equations; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Li:1991:PHA, author = "Tien-Yien Li and Hong Zhang and Xian-He Sun", title = "Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenvalue Problem", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "469--487", month = may, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15", MRnumber = "91k:65070", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4240 (Programming and algorithm theory); C5220 (Computer architecture)", corpsource = "Dept. of Math., Michigan State Univ., East Lansing, MI, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "bisection/multisection algorithms; distributed memory multiprocessor; divide and conquer; eigenvalues and eigenfunctions; matrix algebra; NCUBE; parallel algorithms; parallel homotopy algorithm; symmetric tridiagonal eigenvalue problem; symmetric tridiagonal matrix", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Kenney:1991:PDM, author = "Charles Kenney and Alan J. Laub", title = "Polar Decomposition and Matrix Sign Function Condition Estimates", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "488--504", month = may, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35 (15A12)", MRnumber = "92e:65054", MRreviewer = "E. L. Yip", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290H (Linear algebra); B0290P (Differential equations); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Electr. and Comput. Eng., California Univ., Santa Barbara, CA, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "complex matrices; difference equations; finite-difference approximation; Frechet derivatives; inverse power methods; matrix algebra; matrix sign function condition estimates; matrix square root problem; Newton's method; polar decomposition; stable Lyapunov equation", treatment = "P Practical; T Theoretical or Mathematical", } @Article{NKaoua:1991:SNR, author = "T. N'Kaoua", title = "Solution of the nonlinear radiative transfer equations by a fully implicit matrix {Monte Carlo} method coupled with the {Rosseland} diffusion equation via domain decomposition", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "505--520", month = may, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "85A25 (65C05 85-04)", MRnumber = "91k:85011", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0540 (Fluctuation phenomena, random processes, and Brownian motion); A0560 (Transport processes: theory); A4440 (Heat radiation)", corpsource = "Dept. de Math. Appliqu{\'e}es, CEA, Villeneuve Saint-Georges, France", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "diffusion; domain decomposition; energy balance equation; fully implicit matrix Monte Carlo method; heat transfer; Monte Carlo methods; nonlinear radiative transfer equations; particle tracking; radiative transfer; Rosseland diffusion equation", treatment = "T Theoretical or Mathematical", } @Article{Celmins:1991:PAN, author = "Aivars {Celmi\lfhook n{\v{s}}}", title = "A Practical Approach to Nonlinear Fuzzy Regression", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "521--546", month = may, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J02 (65U05)", MRnumber = "1 093 205", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation)", corpsource = "US Army Ballistic Res. Lab., Aberdeen Proving Ground, MD, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "conical membership functions; fuzzy set theory; least squares approximations; least squares objective function; least squares software; mathematical modeling; minimization; model fitting problem; nonlinear fuzzy regression; uncertain environment", treatment = "T Theoretical or Mathematical", } @Article{Rees:1991:MPP, author = "M. D. Rees and K. W. Morton", title = "Moving point, particle, and free-{Lagrange} methods for convection-diffusion equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "547--572", year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M25 (65M50 65M60 76M25 76Rxx)", MRnumber = "92a:65253", MRreviewer = "Erwin Schechter", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Lawson:1991:BST, author = "J. Lawson and M. Berzins and P. M. Dew", title = "Balancing space and time errors in the method of lines for parabolic equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "573--594", year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M20 (65M15)", MRnumber = "92a:65252", MRreviewer = "C. M. M. Carey", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Crownover:1991:LSA, author = "Richard M. Crownover", title = "A least squares approach to linear discriminant analysis", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "595--606", year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (62H30)", MRnumber = "91k:65071", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Dieci:1991:NCI, author = "Luca Dieci and Jens Lorenz and Robert D. Russell", title = "Numerical calculation of invariant tori", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "607--647", year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L99 (34C40)", MRnumber = "92b:65061", MRreviewer = "Fu Ming Ma", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Tal-Ezer:1991:HDP, author = "Hillel Tal-Ezer", title = "High degree polynomial interpolation in {Newton} form", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "648--667", year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D05", MRnumber = "91k:65032", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Chan:1991:FAR, author = "Tony F. Chan", title = "{Fourier} analysis of relaxed incomplete factorization preconditioners", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "668--680", year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N22 (65F10 65F35 65T99)", MRnumber = "91k:65138", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Karpik:1991:MMS, author = "S. R. Karpik and W. R. Peltier", title = "Multigrid methods for the solution of {Poisson}'s equation in a thick spherical shell", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "681--694", year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55", MRnumber = "92e:65166", MRreviewer = "Jan Mandel", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Lundberg:1991:VOA, author = "Bruce N. Lundberg and Aubrey B. Poore", title = "Variable order {Adams--Bashforth} predictors with an error-stepsize control for continuation methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "695--723", year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65H10)", MRnumber = "91m:65198", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Kelley:1991:FAC, author = "C. T. Kelley and E. W. Sachs", title = "Fast Algorithms for Compact Fixed Point Problems with Inexact Function Evaluations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "725--742", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (47H10 47H17 49K20)", MRnumber = "92i:65095", MRreviewer = "M. Z. Nashed", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Arbenz:1991:CEB, author = "Peter Arbenz", title = "Computing Eigenvalues of Banded Symmetric {Toeplitz} Matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "743--754", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65Y05)", MRnumber = "92c:65046", MRreviewer = "W. C. Rheinboldt", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{DAzevedo:1991:OTM, author = "E. F. D'Azevedo", title = "Optimal Triangular Mesh Generation by Coordinate Transformation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "755--786", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D05 (65L05 65L50)", MRnumber = "92a:65041", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bisseling:1991:PTS, author = "Rob H. Bisseling and Johannes G. G. {van de Vorst}", title = "Parallel Triangular System Solving on a Mesh Network of Transputers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "787--799", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65Y05)", MRnumber = "92a:65086", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Gotze:1991:SRD, author = "J. G{\"o}tze and U. Schwiegelshohn", title = "A Square Root and Division Free {Givens} Rotation for Solving Least Squares Problems on Systolic Arrays", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "800--807", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F20 (65F25)", MRnumber = "92a:65125", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Temperton:1991:SSP, author = "Clive Temperton", title = "Self-Sorting In-Place Fast {Fourier} Transforms", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "808--823", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65T20", MRnumber = "92a:65358", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Wright:1991:PAB, author = "Stephen J. Wright", title = "Parallel Algorithms for Banded Linear Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "824--842", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65Y05)", MRnumber = "92a:65096", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Hagstrom:1991:CDB, author = "Thomas Hagstrom", title = "Conditions at the Downstream Boundary for Simulations of Viscous, Incompressible Flow", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "843--858", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76D05 (65P05 76E05 76M25)", MRnumber = "92d:76023", MRreviewer = "Murli M. Gupta", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Carlson:1991:BIA, author = "R. E. Carlson and F. N. Fritsch", title = "A Bivariate Interpolation Algorithm for Data That Are Monotone in One Variable", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "859--866", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D05", MRnumber = "92b:65014", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Portnoy:1991:ABN, author = "Stephen Portnoy", title = "Asymptotic Behavior of the Number of Regression Quantile Breakpoints", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "867--883", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62J05 (62J10 65K05 90C05)", MRnumber = "92f:62088", MRreviewer = "M. Hu{\v{s}}kov{\'a}", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Ito:1991:NSA, author = "K. Ito and M. Kroller and K. Kunisch", title = "A Numerical Study of an Augmented {Lagrangian} Method for the Estimation of Parameters in Elliptic Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "884--910", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "49M29 (65K05 93E24)", MRnumber = "92b:49059", MRreviewer = "Walter Alt", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bunse-Gerstner:1991:GSD, author = "A. Bunse-Gerstner and H. Fassbender", title = "On the Generalized {Schur} Decomposition of a Matrix Pencil for Parallel Computation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "911--939", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65Y05)", MRnumber = "92c:65047", MRreviewer = "Colette Lebaud", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Mikulinsky:1991:MTT, author = "V. Mikulinsky", title = "Multigrid Treatment of ``Thin'' Domains", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "940--949", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N06 (65N22 65N55)", MRnumber = "92h:65158", MRreviewer = "Hans-Eberhard Scholz", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Vavasis:1991:ADP, author = "Stephen A. Vavasis", title = "Automatic Domain Partitioning in Three Dimensions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "950--970", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65Y10)", MRnumber = "92c:65062", MRreviewer = "W. C. Rheinboldt", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Cash:1991:DCM, author = "J. R. Cash and M. H. Wright", title = "A Deferred Correction Method for Nonlinear Two-Point Boundary Value Problems: Implementation and Numerical Evaluation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "4", pages = "971--989", month = jul, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (65L20)", MRnumber = "92a:65222", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Higham:1991:RKD, author = "Desmond J. Higham", title = "{Runge--Kutta} Defect Control Using {Hermite--Birkhoff} Interpolation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "991--999", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L06 (65L07)", MRnumber = "92g:65081", MRreviewer = "Masaharu Nakashima", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{vanderHouwen:1991:IRK, author = "P. J. {van der Houwen} and B. P. Sommeijer", title = "Iterated {Runge--Kutta} Methods on Parallel Computers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1000--1028", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L06 (65Y05)", MRnumber = "92j:65108", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Forsyth:1991:CVF, author = "Peter A. Forsyth", title = "A Control Volume Finite Element Approach to {NAPL} Groundwater Contamination", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1029--1057", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M60 (76M10 76S05)", MRnumber = "92i:65147", MRreviewer = "Michael Fr{\"o}hner", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Jalby:1991:SAI, author = "W. Jalby and B. Philippe", title = "Stability Analysis and Improvement of the Block {Gram--Schmidt} Algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1058--1073", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F25 (65G05 65Y10)", MRnumber = "92k:65073", MRreviewer = "Alfonso Laratta", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Greenstadt:1991:CDN, author = "John Greenstadt", title = "Cell Discretization of Nonselfadjoint Linear Elliptic Partial Differential Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1074--1108", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65N35)", MRnumber = "92m:65145", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Pan:1991:INI, author = "Victor Pan and Robert Schreiber", title = "An Improved {Newton} Iteration for the Generalized Inverse of a Matrix, with Applications", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1109--1130", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (15A09 65F20 65Y05)", MRnumber = "92d:65056", MRreviewer = "R. P. Tewarson", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Strain:1991:FGT, author = "John Strain", title = "The Fast {Gauss} Transform with Variable Scales", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1131--1139", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R10 (65D20)", MRnumber = "92h:65195", MRreviewer = "T. Sasakawa", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Eisenhut:1991:CAU, author = "R. D. Eisenhut and R. S. Dittus and S. D. Roberts and J. R. Wilson", title = "Comparing Averaged-Out Utilities of Probability Trees Having Random Parameters", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1140--1161", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D15 (65U05 90B15)", MRnumber = "92d:65031", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Heinrichs:1991:STB, author = "Wilhelm Heinrichs", title = "A Stabilized Treatment of the Biharmonic Operator with Spectral Methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1162--1172", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N35", MRnumber = "92h:65176", MRreviewer = "A. Quarteroni", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Ng:1991:SHR, author = "Esmond Ng", title = "A Scheme for Handling Rank-Deficiency in the Solution of Sparse Linear Least Squares Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1173--1183", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50", MRnumber = "92d:65078", MRreviewer = "Derek S. Henderson", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Hulbert:1991:LCP, author = "Laurie Hulbert and Earl Zmijewski", title = "Limiting Communication in Parallel Sparse {Cholesky} Factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1184--1197", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65F50 65Y05)", MRnumber = "92m:65043", MRreviewer = "David R. Kincaid", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bicknell:1991:EMP, author = "G. V. Bicknell", title = "The Equations of Motion of Particles in Smoothed Particle Hydrodynamics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1198--1206", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76N10 (70F10 76M25)", MRnumber = "92f:76077", MRreviewer = "R. Manohar", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Nochetto:1991:AFE, author = "R. H. Nochetto and M. Paolini and C. Verdi", title = "An Adaptive Finite Element Method for Two-Phase {Stefan} Problems in Two Space Dimensions. Part {II}: {Implementation} and Numerical Experiments", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1207--1244", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (35R35 65N50)", MRnumber = "92f:65138", MRreviewer = "Peter B. Monk", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Dubrulle:1991:BGR, author = "Augustin A. Dubrulle", title = "Block {Gauss} Reduction to {Hessenberg} Form", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "5", pages = "1245--1253", month = sep, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65Y10)", MRnumber = "92g:65040", MRreviewer = "Pradeep Misra", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bojanczyk:1991:SAH, author = "Adam W. Boja{\'n}czyk and Allan O. Steinhardt", title = "Stability Analysis of a {Householder}-Based Algorithm for Downdating the {Cholesky} Factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1255--1265", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (65F30)", MRnumber = "92i:65053", MRreviewer = "Pradeep Misra", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{OSullivan:1991:SAR, author = "Finbarr O'Sullivan", title = "Sensitivity Analysis for Regularized Estimation in Some System Identification Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1266--1283", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62G05 (62J05 65D15)", MRnumber = "1 129 645", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Dieci:1991:SSA, author = "Luca Dieci and Donald Estep", title = "Some Stability Aspects of Schemes for the Adaptive Integration of Stiff Initial Value Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1284--1303", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (65L07 65L20)", MRnumber = "92k:65103", MRreviewer = "H. Brunner", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Sibson:1991:CTP, author = "Robin Sibson and G. Stone", title = "Computation of Thin-Plate Splines", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1304--1313", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07", MRnumber = "92f:65019", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Mansfield:1991:DJP, author = "Lois Mansfield", title = "Damped {Jacobi} Preconditioning and Coarse Grid Deflation for Conjugate Gradient Iteration on Parallel Computers", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1314--1323", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65N22)", MRnumber = "92f:65043", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Osborne:1991:WCA, author = "M. R. Osborne and Tania Prvan", title = "What Is the Covariance Analog of the {Paige} and {Saunders} Information Filter?", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1324--1331", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65U05 93E11)", MRnumber = "92f:65053", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bischof:1991:SPR, author = "Christian H. Bischof and Per Christian Hansen", title = "Structure-preserving and rank-revealing {${\rm QR}$}-factorizations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1332--1350", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F25 (65F30)", MRnumber = "92i:65080", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Stuart:1991:DTM, author = "A. M. Stuart and A. T. Peplow", title = "The Dynamics of the Theta Method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1351--1372", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (34G20 35A40 35K57 65M12)", MRnumber = "92j:65101", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Axelsson:1991:NRT, author = "Owe Axelsson and Victor Eijkhout", title = "The Nested Recursive Two-Level Factorization Method for Nine-Point Difference Matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1373--1400", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65N30 65Y05)", MRnumber = "92f:65039", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Risebro:1991:FTA, author = "Nils Henrik Risebro and Aslak Tveito", title = "Front tracking applied to a non-strictly hyperbolic system of conservation laws", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1401--1419", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99 (35L65 76L05 76M99 76N10)", MRnumber = "92h:65154", MRreviewer = "Benoit Perthame", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Zhao:1991:PMM, author = "Feng Zhao and S. Lennart Johnsson", title = "The Parallel Multipole Method on the {Connection Machine}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1420--1437", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05 (65C20 70-08 70F10)", MRnumber = "92h:65211", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Walkington:1991:ASA, author = "Noel J. Walkington", title = "Axially Symmetric Acoustic Wave Propagation through Flows with Vorticity", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1438--1456", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76Q05 (65N30 76M10)", MRnumber = "92i:76089", MRreviewer = "J. Thomas Beale", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bastian:1991:PRM, author = "Peter Bastian and Graham Horton", title = "Parallelization of Robust Multigrid Methods: {ILU} Factorization and Frequency Decomposition Method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1457--1470", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65Y05)", MRnumber = "92f:65040", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Chan:1991:EDD, author = "Tony F. Chan and Thomas Y. Hou", title = "Eigendecomposition of Domain Decomposition Interface Operators for Constant Coefficient Elliptic Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1471--1479", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N22 (65F10)", MRnumber = "92f:65129", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Lustman:1991:SLS, author = "L. Lustman and B. Neta and C. P. Katti", title = "Solution of Linear Systems of Ordinary Differential Equations on an {Intel Hypercube}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1480--1485", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05 (65L05 65L10)", MRnumber = "92f:65167", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Tong:1991:DDP, author = "Charles H. Tong and Tony F. Chan and C. C. Jay Kuo", title = "A Domain Decomposition Preconditioner Based on a Change to a Multilevel Nodal Basis", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1486--1495", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65N55)", MRnumber = "92i:65070", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Saarinen:1991:NSN, author = "Sirpa Saarinen and R. Bramley and George Cybenko", title = "The numerical solution of neural network training problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "", number = "", pages = "", month = "????", year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Submitted. Issued as CSRD Technical Report No. 1089.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", referred = "[Saar91a].", } @Article{Ashby:1992:CAC, author = "Steven F. Ashby and Thomas A. Manteuffel and James S. Otto", title = "A Comparison of Adaptive {Chebyshev} and Least Squares Polynomial Preconditioning for {Hermitian} Positive Definite Linear Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "1--29", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F20", MRnumber = "92h:65067", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Desa:1992:PIM, author = "Colin Desa and Kashmira M. Irani and Calvin J. Ribbens and Layne T. Watson and Homer F. Walker", title = "Preconditioned Iterative Methods for Homotopy Curve Tracking", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "30--46", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H20 (65F10 65F50 65K10)", MRnumber = "92h:65088", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Arioli:1992:BPM, author = "Mario Arioli and Iain Duff and Joseph Noailles and Daniel Ruiz", title = "A Block Projection Method for Sparse Matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "47--70", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F10 65Y05)", MRnumber = "92g:65053", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Canning:1992:SAS, author = "Francis X. Canning", title = "Sparse Approximation for Solving Integral Equations with Oscillatory Kernels", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "71--87", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R20 (65F10 65F50)", MRnumber = "92h:65196", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Tuminaro:1992:HPM, author = "Ray S. Tuminaro", title = "A Highly Parallel Multigrid-Like Method for the Solution of the {Euler} Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "88--100", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76M25 (76-04)", MRnumber = "92m:76102", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Mayo:1992:FPI, author = "A. Mayo and A. Greenbaum", title = "Fast Parallel Iterative Solution of {Poisson}'s and the Biharmonic Equations on Irregular Regions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "101--118", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R20 (65F10 65Y05)", MRnumber = "92k:65194", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Pan:1992:CM, author = "Victor Pan and John Reif", title = "Compact Multigrid", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "119--127", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M55 (65F10 65Y05)", MRnumber = "92j:65139", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Gropp:1992:PPD, author = "William D. Gropp and David E. Keyes", title = "Parallel Performance of Domain-Decomposed Preconditioned {Krylov} Methods for {PDEs} with Locally Uniform Refinement", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "128--145", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65Y05)", MRnumber = "1 145 180", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Mitchell:1992:OMI, author = "William F. Mitchell", title = "Optimal Multilevel Iterative Methods for Adaptive Grids", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "146--167", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N50 (65F10 65N30)", MRnumber = "92j:65187", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bramley:1992:RPM, author = "R. Bramley and A. Sameh", title = "Row Projection Methods for Large Nonsymmetric Linear Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "168--193", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (15A06 65Y05)", MRnumber = "92h:65049", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Pommerell:1992:SNM, author = "Claude Pommerell and Marco Annaratone and Wolfgang Fichtner", title = "A Set of New Mapping and Coloring Heuristics for Distributed-Memory Parallel Processors", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "194--226", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05 (65F10)", MRnumber = "1 145 183", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Tong:1992:MFP, author = "Charles H. Tong and Tony F. Chan and C. C. Jay Kuo", title = "Multilevel Filtering Preconditioners: Extensions to More General Elliptic Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "227--242", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65F10)", MRnumber = "92g:65135", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Cai:1992:DDA, author = "Xiao-Chuan Cai and Olof B. Widlund", title = "Domain Decomposition Algorithms for Indefinite Elliptic Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "243--258", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65F10)", MRnumber = "92i:65181", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Joubert:1992:PSO, author = "Wayne Joubert and Thomas A. Manteuffel and Seymour Parter and Sze-Ping Wong", title = "Preconditioning Second-Order Elliptic Operators: Experiment and Theory", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "259--288", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35 (65L10)", MRnumber = "92i:65085", MRreviewer = "I. Norman Katz", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Heinreichsberger:1992:FIS, author = "O. Heinreichsberger and S. Selberherr and M. Stiftinger and K. P. Traar", title = "Fast Iterative Solution of Carrier Continuity Equations for Three-Dimensional Device Simulation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "289--306", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (65F10 65P05 78A55)", MRnumber = "92i:65126", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Rude:1992:HBE, author = "U. R{\"u}de", editor = "T. Manteuffel", title = "The Hierarchical Basis Extrapolation Method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "307--318", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N50 (65F10 65N55)", MRnumber = "92h:65181", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruede-ulrich.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Proceedings of the First Copper Mountain Conference on Iterative Methods, April 1-5, 1990, T. Manteuffel ed.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Donato:1992:FAI, author = "June M. Donato and Tony F. Chan", title = "{Fourier} Analysis of Incomplete Factorization Preconditioners for Three-Dimensional Anisotropic Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "319--338", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N22 (65F10)", MRnumber = "92k:65152", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Elman:1992:LIM, author = "Howard C. Elman and Gene H. Golub", title = "Line Iterative Methods for Cyclically Reduced Discrete Convection-Diffusion Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "339--363", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76Rxx (65F10 65N22 76M25)", MRnumber = "92j:76085", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Smith:1992:ODD, author = "Barry F. Smith", title = "An Optimal Domain Decomposition Preconditioner for the Finite Element Solution of Linear Elasticity Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "364--378", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "73V05 (65N30 65N55 73C02)", MRnumber = "92g:73080", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Farhat:1992:UDD, author = "Charbel Farhat and Fran{\c{c}}ois-Xavier Roux", title = "An Unconventional Domain Decomposition Method for an Efficient Parallel Solution of Large-Scale Finite Element Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "379--396", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65N30 65Y05)", MRnumber = "92g:65129", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Bramble:1992:DDM, author = "James H. Bramble and Richard E. Ewing and Rossen R. Parashkevov and Joseph E. Pasciak", title = "Domain Decomposition Methods for Problems with Partial Refinement", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "397--410", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65F10)", MRnumber = "92i:65179", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Mittelmann:1992:LSI, author = "Hans D. Mittelmann and Cindy C. Law and Daniel F. Jankowski and G. Paul Neitzel", title = "A Large, Sparse, and Indefinite Generalized Eigenvalue Problem from Fluid Mechanics", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "411--424", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76E15 (65F15 65F50 76M25)", MRnumber = "92h:76043", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Freund:1992:CGT, author = "Roland W. Freund", title = "Conjugate Gradient-Type Methods for Linear Systems with Complex Symmetric Coefficient Matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "425--448", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65F20 65F50 65N22)", MRnumber = "92i:65066", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Manteuffel:1992:I, author = "Thomas A. Manteuffel and Linda R. Petzold", title = "Introduction", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "vii--??", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Sat Oct 24 11:59:57 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Serbin:1992:SPC, author = "Steven M. Serbin", title = "A Scheme for Parallelizing Certain Algorithms for the Linear Inhomogeneous Heat Equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "449--458", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M06 (65M20 65Y05)", MRnumber = "92j:65128", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Gomes-Ruggiero:1992:CAS, author = "M{\'a}rcia A. Gomes-Ruggiero and Jos{\'e} Mario Mart{\'\i}nez and Antonio Carlos Moretti", title = "Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "459--483", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (65Y10)", MRnumber = "92j:65077", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{McMahon:1992:KSL, author = "John R. McMahon and Richard Franke", title = "Knot Selection for Least Squares Thin Plate Splines", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "484--498", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D10 (65D07 73K10 73V20)", MRnumber = "92i:65036", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Parks:1992:NAP, author = "Harold R. Parks", title = "Numerical Approximation of Parametric Oriented Area-Minimizing Hypersurfaces", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "499--511", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "49Q05 (65K10)", MRnumber = "92k:49081", MRreviewer = "Walter Alt", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{deZeeuw:1992:NMA, author = "P. M. {de Zeeuw}", title = "Nonlinear Multigrid Applied to a One-Dimensional Stationary Semiconductor Model", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "512--530", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N22 (65H10 78-08 78A55 82D25)", MRnumber = "92j:65160", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Harris:1992:IMM, author = "T. J. Harris and J. H. Davis", title = "An Iterative Method for Matrix Spectral Factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "531--540", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "49K15 (15A09 60G25 62M20 65F05)", MRnumber = "1 149 105", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Russell:1992:SJS, author = "Robert D. Russell and David M. Sloan and Manfred R. Trummer", title = "On the Structure of {Jacobians} for Spectral Methods for Nonlinear Partial Differential Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "541--549", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M70 (65N35)", MRnumber = "92j:65147", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Jessup:1992:IAI, author = "Elizabeth R. Jessup and Ilse C. F. Ipsen", title = "Improving the Accuracy of Inverse Iteration", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "550--572", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65-04)", MRnumber = "92k:65068", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Wei:1992:GSS, author = "Pai Tang Wei", title = "Generalized {Schwarz} Splitting", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "573--595", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65Y05)", MRnumber = "92j:65047", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", xxauthor = "Wei Pai Tang", xxtitle = "Generalized {Schwarz} splittings", } @Article{Deville:1992:FAF, author = "Michel O. Deville and Ernest H. Mund", title = "{Fourier} Analysis of Finite Element Preconditioned Collocation Schemes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "596--610", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65N35 76D07 76M10)", MRnumber = "92i:65164", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Roe:1992:SFF, author = "P. L. Roe", title = "Sonic Flux Formulae", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "611--630", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M06 (76M25 76N15)", MRnumber = "92k:65126", MRreviewer = "Dennis C. Jespersen", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{vanderVorst:1992:BCF, author = "H. A. {van der Vorst}", title = "{BI-CGSTAB}: {A} Fast and Smoothly Converging Variant of {BI-CG} for the Solution of Nonsymmetric Linear Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "631--644", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10", MRnumber = "92j:65048", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Pothen:1992:FRA, author = "Alex Pothen and Fernando L. Alvarado", title = "A Fast Reordering Algorithm for Parallel Sparse Triangular Solution", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "2", pages = "645--653", month = mar, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F50 (65F25 65Y05 68R10)", MRnumber = "92i:65089", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Vassilevski:1992:CCS, author = "Panayot S. Vassilevski and Maya H. Etova", title = "Computation of Constants in the Strengthened {Cauchy} Inequality for Elliptic Bilinear Forms with Anisotropy", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "655--665", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N22 (65N30)", MRnumber = "92m:65136", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{vanVeldhuizen:1992:AIM, author = "M. {van Veldhuizen}", title = "Approximation of the Invariant Manifold in the {Josephson} Equation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "666--675", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L99 (34A50 65H10 65Y05)", MRnumber = "93b:65122", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Temperton:1992:GPF, author = "Clive Temperton", title = "A Generalized Prime Factor {FFT} Algorithm for Any {$N = 2^p 3^q 5^r$}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "676--686", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65T20", MRnumber = "92m:65178", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Zingg:1992:MSB, author = "David W. Zingg and Maurice Yarrow", title = "A Method of Smooth Bivariate Interpolation for Data Given on a Generalized Curvilinear Grid", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "687--693", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D05", MRnumber = "92k:65016", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Atkinson:1992:ISL, author = "Kendall E. Atkinson and Ivan G. Graham", title = "Iterative Solution of Linear Systems Arising from the Boundary Integral Method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "694--722", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65R20 (45L10 65F10 65N38)", MRnumber = "92m:65169", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Puglisi:1992:MHM, author = "Chiara Puglisi", title = "Modification of the {Householder} Method Based on the Compact {$WY$} Representation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "723--726", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F30 (65F25)", MRnumber = "93b:65071", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Chan:1992:SAR, author = "Tony F. Chan and Per Christian Hansen", title = "Some Applications of the Rank Revealing {$QR$} Factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "727--741", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F25 (65F20)", MRnumber = "93a:65057", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Wright:1992:SPA, author = "Stephen J. Wright", title = "Stable Parallel Algorithms for Two-Point Boundary Value Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "742--764", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L10 (34A50 65F05 65Y05)", MRnumber = "93a:65099", MRreviewer = "I. Norman Katz", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Letniowski:1992:TDD, author = "Frank W. Letniowski", title = "Three-Dimensional {Delaunay} Triangulations for Finite Element Approximations to a Second-Order Diffusion Operator", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "765--770", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30", MRnumber = "93a:65153", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Coleman:1992:PNL, author = "Thomas F. Coleman and Paul E. Plassmann", title = "A Parallel Nonlinear Least-Squares Solver: Theoretical Analysis and Numerical Results", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "771--793", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (65F05 65K05 65Y05 90C30)", MRnumber = "93a:65068", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Allen:1992:WCI, author = "Myron B. Allen and Richard E. Ewing and Peng Lu", title = "Well-Conditioned Iterative Schemes for Mixed Finite-Element Models of Porous-Media Flows", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "794--814", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65F10 76M10 76S05)", MRnumber = "92m:65138", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Turner:1992:EHA, author = "Kathryn Turner and Homer F. Walker", title = "Efficient High Accuracy Solutions with {${\rm GMRES}(m)$}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "815--825", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65H10)", MRnumber = "92k:65061", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Mu:1992:GBS, author = "Mo Mu and J. R. Rice", title = "A Grid-Based Subtree-Subcube Assignment Strategy for Solving Partial Differential Equations on Hypercubes", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "3", pages = "826--839", month = may, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65F50)", MRnumber = "92m:65158", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Zhang:1992:PMS, author = "Xiaodong Zhang and Richard H. Byrd and Robert B. Schnabel", title = "Parallel Methods for Solving Nonlinear Block Bordered Systems of Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "841--859", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65H10 (65Y05)", MRnumber = "93b:65076", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Chou:1992:ESU, author = "Mo-Hong Chou", title = "An Efficient Scheme for Unsteady Flow Past an Object with Boundary Conformal to a Circle", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "860--873", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65M06 76D05 76M20)", MRnumber = "93b:65053", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", xxauthor = "Mo Hong Chou", } @Article{Al-Khayyal:1992:SSG, author = "Faiz A. Al-Khayyal and Thom J. Hodgson and Grant D. Capps and James A. Dorsch and David A. Kriegman and Paul D. Pavnica", title = "Solution of Structured Geometric Programs in Sample Survey Design", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "874--884", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62D05 (90C28)", MRnumber = "1 166 166", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Dieci:1992:BMC, author = "Luca Dieci and Jens Lorenz", title = "Block {$M$}-Matrices and Computation of Invariant Tori", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "885--903", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L99 (34C30 65J10 65N22 73K12)", MRnumber = "93h:65109", MRreviewer = "Zdzis{\l}aw W. Trzaska", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Glynn:1992:AIT, author = "Peter W. Glynn and Philip Heidelberger", title = "Analysis of Initial Transient Deletion for Parallel Steady-State Simulations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "904--922", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "68U20 (60F05 60K99 65C05 65Y05)", MRnumber = "93c:68110", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Anderson:1992:IFM, author = "Christopher R. Anderson", title = "An Implementation of the Fast Multipole Method without Multipoles", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "923--947", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C99 (34B27 35J05)", MRnumber = "93b:65012", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Ku:1992:SFP, author = "Takang Ku and C.-C. Jay Kuo", title = "On the Spectrum of a Family of Preconditioned Block {Toeplitz} Matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "948--966", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F15 (65F10)", MRnumber = "93b:65064", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", xxauthor = "Ku Takang and C.-C Jay Kuo", } @Article{Gropp:1992:DDL, author = "William D. Gropp and David E. Keyes", title = "Domain Decomposition with Local Mesh Refinement", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "967--993", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65Y05)", MRnumber = "93b:65189", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Edelsbrunner:1992:TAM, author = "Herbert Edelsbrunner and Tiow Seng Tan and Roman Waupotitsch", title = "An {$O(n^2 \log n)$} Time Algorithm for the Minmax Angle Triangulation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "994--1008", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "68U05 (65M50 68Q25)", MRnumber = "1 166 172", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", xxauthor = "Herbert Edelsbrunner and Seng Tan Tiow and Roman Waupotitsch", } @Article{Beatson:1992:WCS, author = "R. K. Beatson and E. Chacko", title = "Which Cubic Spline Should One Use?", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "1009--1024", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07 (41A15 65D10)", MRnumber = "93c:65015", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Vermeulen:1992:IPS, author = "A. H. Vermeulen and R. H. Bartels and G. R. Heppler", title = "Integrating Products of {$B$}-Splines", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "1025--1038", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07 (65D30 65N30)", MRnumber = "93b:65018", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Tam:1992:OSP, author = "H. W. Tam", title = "One-Stage Parallel Methods for the Numerical Solution of Ordinary Differential Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1039--1061", month = sep, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (34A45 65L20 65Y05)", MRnumber = "93e:65100", MRreviewer = "I. Norman Katz", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Tam:1992:TSP, author = "H. W. Tam", title = "Two-Stage Parallel Methods for the Numerical Solution of Ordinary Differential Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1062--1084", month = sep, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L05 (34A45 65L20 65Y05)", MRnumber = "93e:65101", MRreviewer = "I. Norman Katz", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Weba:1992:SAS, author = "Michael Weba", title = "Simulation and Approximation of Stochastic Processes by Spline Functions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1085--1096", month = sep, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "60G99 (60H10 62M20 65U05)", MRnumber = "93f:60075", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Monk:1992:CTM, author = "Peter Monk", title = "A Comparison of Three Mixed Methods for the Time-Dependent {Maxwell}'s Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1097--1122", month = sep, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N30 (65M60 78-08)", MRnumber = "93j:65184", MRreviewer = "Teodor Potra", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Rippa:1992:AAP, author = "Shmuel Rippa", title = "Adaptive Approximation by Piecewise Linear Polynomials on Triangulations of Subsets of Scattered Data", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1123--1141", month = sep, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65D07", MRnumber = "93d:65016", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Hansen:1992:MTS, author = "Per Christian Hansen and Takashi Sekii and Hiromoto Shibahashi", title = "The Modified Truncated {SVD} Method for Regularization in General Form", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1142--1150", month = sep, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F35", MRnumber = "93e:65072", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Gilbert:1992:HPS, author = "John R. Gilbert and Robert Schreiber", title = "Highly Parallel Sparse {Cholesky} Factorization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1151--1172", month = sep, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F05 (05C85 15A23 65F50 68M20)", MRnumber = "93g:65040", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Zenios:1992:PBP, author = "Stavros A. Zenios and Mustafa {\c{C}}. Pinar", title = "Parallel Block-Partitioning of Truncated {Newton} for Nonlinear Network Optimization", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1173--1193", month = sep, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C35 (90B10 90C06 90C30)", MRnumber = "93f:90177", MRreviewer = "Cheng En Yang", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Hansen:1992:NBB, author = "Pierre Hansen and Brigitte Jaumard and Gilles Savard", title = "New Branch-and-Bound Rules for Linear Bilevel Programming", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1194--1217", month = sep, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "90C30 (90C27 90D05)", MRnumber = "93f:90151", MRreviewer = "Stephan Dempe", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Chan:1992:FBP, author = "Raymond H. Chan and Xiao-Qing Jin", title = "A Family of Block Preconditioners for Block Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1218--1235", month = sep, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10 (65F15 65F35)", MRnumber = "93e:65050", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Gallopoulos:1992:ESP, author = "E. Gallopoulos and Y. Saad", key = "gallopoulosSaad89", title = "Efficient Solution of Parabolic Equations by {Krylov} Approximation Methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "5", pages = "1236--1264", month = sep, year = "1992", CODEN = "SIJCD4", DOI = "http://dx.doi.org/10.1137/0913071", ISSN = "0196-5204", MRclass = "65M20 (65F10 65Y05)", MRnumber = "1177807 (93d:65085)", bibdate = "Sun Sep 5 09:21:22 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", xxtitle = "Efficient solution of parabolic equations by polynomial approximation methods", } @Article{Ren:1992:MMT, author = "Yuhe Ren and Robert D. Russell", title = "Moving Mesh Techniques Based upon Equidistribution, and Their Stability", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1265--1286", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M12 (65M50)", MRnumber = "93g:65113", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", xxauthor = "Ren Yuhe and Robert D. Russell", } @Article{Vassilevski:1992:FDS, author = "P. S. Vassilevski and S. I. Petrova and R. D. Lazarov", title = "Finite Difference Schemes on Triangular Cell-Centered Grids with Local Refinement", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1287--1313", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N06 (65N15)", MRnumber = "93m:65156", MRreviewer = "I. P. Gavrilyuk", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Smith:1992:SMH, author = "Richard A. Smith and Alan Weiser", title = "Semicoarsening Multigrid on a Hypercube", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1314--1329", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F99", MRnumber = "1 185 648", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Vandewalle:1992:EPA, author = "Stefan Vandewalle and Robert Piessens", title = "Efficient Parallel Algorithms for Solving Initial-Boundary Value and Time-Periodic Parabolic Partial Differential Equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1330--1346", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65M99", MRnumber = "93g:65129", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Fishman:1992:EBC, author = "George S. Fishman and Boris L. Granovsky and David S. Rubin", title = "Evaluating Best-Case and Worst-Case Variances When Bounds Are Available", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1347--1360", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "62E25 (62N05)", MRnumber = "93f:62024", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Cheng:1992:SIC, author = "Tu Cheng and Charles S. Peskin", title = "Stability and Instability in the Computation of Flows with Moving Immersed Boundaries: {A} Comparison of Three Methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1361--1376", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "76M99 (65C20 73K70 76D07 76M20 76Z99)", MRnumber = "93g:76097", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", xxauthor = "Cheng Tu and Charles S. Peskin", } @Article{Schafer:1992:NST, author = "Michael Sch{\"a}fer", title = "Numerical Solution of the Time-Dependent Axisymmetric {Boussinesq} Equations on Processor Arrays", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1377--1393", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65P05 (76D05 76M20 76M25)", MRnumber = "1 185 652", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Langtangen:1992:SBT, author = "Hans Petter Langtangen", title = "Stochastic Breakthrough Time Analysis of an Enhanced Oil Recovery Process", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1394--1417", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65C20 (65U05)", MRnumber = "1 185 653", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", xxauthor = "Hans Peter Langtangen", } @Article{Daripa:1992:FAS, author = "Prabir Daripa", title = "A Fast Algorithm to Solve Nonhomogeneous {Cauchy--Riemann} Equations in the Complex Plane", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1418--1432", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65E05 (30C99)", MRnumber = "93g:65037", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Babuska:1992:PIV, author = "I. Babu{\v{s}}ka and H. C. Elman and K. Markley", title = "Parallel Implementation of the $hp$-Version of the Finite Element Method on a Shared-Memory Architecture", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1433--1459", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65Y05 (65N30)", MRnumber = "93h:65179", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Dendy:1992:SMA, author = "J. E. {Dendy, Jr.} and M. P. Ida and J. M. Rutledge", title = "A Semicoarsening Multigrid Algorithm for {SIMD} Machines", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1460--1469", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65Y05)", MRnumber = "1 185 656", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Ku:1992:MPF, author = "Ta-Kang Ku and C.-C. Jay Kuo", title = "A Minimum-Phase {$LU$} Factorization Preconditioner for {Toeplitz} Matrices", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1470--1487", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65F10", MRnumber = "93h:65043", MRreviewer = "James Weldon Demmel", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", xxauthor = "Ku Ta-Kang and C.-C. Jay Kuo", } @Article{Owren:1992:DEC, author = "Brynjulf Owren and Marino Zennaro", title = "Derivation of Efficient, Continuous, Explicit {Runge--Kutta} Methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "6", pages = "1488--1501", month = nov, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65L06", MRnumber = "93g:65094", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Cai:1993:OTL, author = "Xiao-Chuan Cai", title = "An Optimal Two-level Overlapping Domain Decomposition Method for Elliptic Problems in Two and Three Dimensions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "14", number = "??", pages = "239--247", month = jan, year = "1993", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Smith:1993:PII, author = "Barry F. Smith", title = "A Parallel Implementation of an Iterative Substructuring Algorithm for Problems in Three Dimensions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "14", number = "2", pages = "406--423", month = mar, year = "1993", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", keyword = "domain decomposition, iterative substructuring, parallel computing", } @Article{Averick:1994:CLS, author = "B. M. Averick and J. J. Mor\'e and C. H. Bischof and A. Carle and Andreas Griewank", title = "Computing large sparse {Jacobian} matrices using automatic differentiation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "15", number = "??", pages = "285--294", month = "????", year = "1994", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/more-jorge.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Shen:1994:ESG, author = "Jie Shen", title = "Efficient spectral-{Galerkin} method {I}. {Direct} solvers for second- and fourth-order equations by using {Legendre} polynomials", journal = j-SIAM-J-SCI-STAT-COMP, volume = "15", number = "??", pages = "1489--1505", month = "????", year = "1994", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/shen-jie.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Rude:1994:MAI, author = "U. R{\"u}de", title = "On the Multilevel Adaptive Iterative Method", journal = j-SIAM-J-SCI-STAT-COMP, volume = "15", number = "??", pages = "??--??", month = "????", year = "1994", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:40 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/r/ruede-ulrich.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Also available as TU-Bericht I-9216, and published in the Preliminary Proceedings of the 2nd Copper Mountain Conference on Iterative Methods, April 9--14, 1992, ed. T. Manteuffel, University of Colorado at Denver.", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Shen:1995:ESG, author = "Jie Shen", title = "Efficient spectral-{Galerkin} method {II}. Direct solvers for second- and fourth-order equations by using {Chebyshev} polynomials", journal = j-SIAM-J-SCI-STAT-COMP, volume = "16", number = "??", pages = "74--87", month = "????", year = "1995", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:41 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/shen-jie.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", } @Article{Campbell:1995:SGD, author = "Stephen L. Campbell and E. Griepentrog", title = "Solvability of general differential algebraic equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "16", number = "2", pages = "257--270", month = "????", year = "1995", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "34A09 (34A12 34A45 65L05)", MRnumber = "95m:34003", bibdate = "Thu Dec 28 10:25:43 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", keywords = "Maple", reviewer = "Patrick J. Rabier", } @Article{Brandt:19xx:MTP, author = "A. Brandt and V. Mikulinsky", title = "Multigrid treatment of problems with highly oscillating boundary and boundary conditions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "??", number = "??", pages = "??--??", month = "????", year = "19xx", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Wed Jun 29 08:32:41 2011", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", note = "Submitted", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", }