%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.03", %%% date = "13 October 2017", %%% time = "09:44:50 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 = "54520 28497 119004 1208083", %%% 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 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. %%% %%% The journal has a Web site at %%% %%% http://epubs.siam.org/loi/sijcd4 %%% %%% At version 2.03, the year coverage looked %%% like this: %%% %%% 1980 ( 37) 1985 ( 72) 1990 ( 69) %%% 1981 ( 37) 1986 ( 93) 1991 ( 83) %%% 1982 ( 33) 1987 ( 90) 1992 ( 86) %%% 1983 ( 54) 1988 ( 77) %%% 1984 ( 69) 1989 ( 74) %%% 19xx ( 1) %%% %%% Article: 875 %%% %%% Total entries: 875 %%% %%% 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 <at>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{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", DOI = "https://doi.org/10.1137/0901001", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76E99 (76D10)", MRnumber = "81e:76043", MRreviewer = "William H. H. Banks", bibdate = "Mon Mar 31 09:58:45 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1980", } @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", DOI = "https://doi.org/10.1137/0901002", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H10", MRnumber = "81k:65050", MRreviewer = "L. Hageman", bibdate = "Mon Mar 31 09:58:45 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1980", } @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", DOI = "https://doi.org/10.1137/0901003", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "73G99 (65N30)", MRnumber = "82c:73037", bibdate = "Mon Mar 31 09:58:45 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1980", } @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", DOI = "https://doi.org/10.1137/0901004", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "81g:30012a", MRreviewer = "N. Papamichael", bibdate = "Mon Mar 31 09:58:45 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1980", } @Article{Shampine:1980:IIF, author = "L. F. Shampine", title = "Implementation of implicit formulas for the solution of {ODEs}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "1", pages = "103--118", month = mar, year = "1980", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0901005", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "81e:65041", MRreviewer = "David R. Hill", bibdate = "Mon Mar 31 09:58:45 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1980", } @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", DOI = "https://doi.org/10.1137/0901006", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05", MRnumber = "81f:65070", bibdate = "Mon Mar 31 09:58:45 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1980", } @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", DOI = "https://doi.org/10.1137/0901007", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M10", MRnumber = "84d:65067", bibdate = "Mon Mar 31 09:58:45 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1980", } @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", DOI = "https://doi.org/10.1137/0901008", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90A30", MRnumber = "81f:90036", MRreviewer = "Kare M. Mjelde", bibdate = "Mon Mar 31 09:58:45 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1980", } @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 = "1", pages = "173--178", month = "????", year = "1980", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0901009", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:58:45 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", ZMnumber = "459.65098", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1980", } @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", DOI = "https://doi.org/10.1137/0901010", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65U05 (62E15)", MRnumber = "82c:65097", MRreviewer = "E. M. Klimko", bibdate = "Mon Mar 31 09:58:47 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", } @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", DOI = "https://doi.org/10.1137/0901011", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90C05", MRnumber = "82a:90081", MRreviewer = "Asen L. Dontchev", bibdate = "Mon Mar 31 09:58:47 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", } @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", DOI = "https://doi.org/10.1137/0901012", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N99", MRnumber = "82j:65088", MRreviewer = "E. G. D\cprime yakonov", bibdate = "Mon Mar 31 09:58:47 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", } @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", DOI = "https://doi.org/10.1137/0901013", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30 (65L05)", MRnumber = "82b:65031", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Mon Mar 31 09:58:47 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", } @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", DOI = "https://doi.org/10.1137/0901014", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "15A12 (65F35)", MRnumber = "82c:15006", MRreviewer = "O. Pokorn{\'a}", bibdate = "Mon Mar 31 09:58:47 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", } @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", DOI = "https://doi.org/10.1137/0901015", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (65F15)", MRnumber = "81m:65049", MRreviewer = "F. Szidarovszky", bibdate = "Mon Mar 31 09:58:47 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", } @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", DOI = "https://doi.org/10.1137/0901016", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (65D05)", MRnumber = "82a:65088", MRreviewer = "H. Marcinkowska", bibdate = "Mon Mar 31 09:58:47 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", } @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", DOI = "https://doi.org/10.1137/0901017", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65-04 (65M05 65V05)", MRnumber = "81k:65003", bibdate = "Mon Mar 31 09:58:47 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", 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", DOI = "https://doi.org/10.1137/0901018", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10", MRnumber = "82a:65055", MRreviewer = "T. St{\'y}s", bibdate = "Mon Mar 31 09:58:47 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", } @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", DOI = "https://doi.org/10.1137/0901019", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10 (62J05)", MRnumber = "82f:65011", MRreviewer = "Corrado Corradi", bibdate = "Mon Mar 31 09:58:47 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", } @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", DOI = "https://doi.org/10.1137/0901020", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "81g:30012b", MRreviewer = "N. Papamichael", bibdate = "Mon Mar 31 09:58:47 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1980", } @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", DOI = "https://doi.org/10.1137/0901021", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65M10)", MRnumber = "82i:65019", MRreviewer = "Ahmed H. Sameh", bibdate = "Mon Mar 31 09:58:49 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "September 1980", } @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", DOI = "https://doi.org/10.1137/0901022", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D20 (33A15)", MRnumber = "81m:65029", MRreviewer = "Anton Hut'a", bibdate = "Mon Mar 31 09:58:49 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/elefunt.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "analytic subtraction; continued fraction; incomplete gamma function; incomplete beta function", onlinedate = "September 1980", } @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", DOI = "https://doi.org/10.1137/0901023", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M15 (76-04 76B99)", MRnumber = "82i:65057", MRreviewer = "Murli M. Gupta", bibdate = "Mon Mar 31 09:58:49 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "September 1980", } @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", DOI = "https://doi.org/10.1137/0901024", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "41A15 (65D05)", MRnumber = "82e:41018", MRreviewer = "Philip W. Smith", bibdate = "Mon Mar 31 09:58:49 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "September 1980", } @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", DOI = "https://doi.org/10.1137/0901025", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90C30", MRnumber = "82c:90082", MRreviewer = "J. Mockus", bibdate = "Mon Mar 31 09:58:49 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "September 1980", } @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", DOI = "https://doi.org/10.1137/0901026", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05 (35J05 76X05 78A45)", MRnumber = "82b:65097", MRreviewer = "Joseph Oliger", bibdate = "Mon Mar 31 09:58:49 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "September 1980", } @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", DOI = "https://doi.org/10.1137/0901027", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "81m:30009", MRreviewer = "G. Opfer", bibdate = "Mon Mar 31 09:58:49 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "September 1980", } @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", DOI = "https://doi.org/10.1137/0901028", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "51M10 (62J99 90C99)", MRnumber = "82g:51025", MRreviewer = "R. Pfaffenberger", bibdate = "Mon Mar 31 09:58:52 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1980", } @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", DOI = "https://doi.org/10.1137/0901029", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65N30)", MRnumber = "83e:65164", MRreviewer = "Kristian Witsch", bibdate = "Mon Mar 31 09:58:52 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1980", } @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", DOI = "https://doi.org/10.1137/0901030", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M10", MRnumber = "83a:65080", bibdate = "Mon Mar 31 09:58:52 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1980", } @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", DOI = "https://doi.org/10.1137/0901031", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N50", MRnumber = "83a:65115", bibdate = "Mon Mar 31 09:58:52 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1980", } @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", DOI = "https://doi.org/10.1137/0901032", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62E30 (65U05)", MRnumber = "82g:62037", MRreviewer = "James E. Gentle", bibdate = "Mon Mar 31 09:58:52 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1980", } @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", DOI = "https://doi.org/10.1137/0901033", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76D25 (65P05 76A60)", MRnumber = "82i:76032", MRreviewer = "Murli M. Gupta", bibdate = "Mon Mar 31 09:58:52 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1980", } @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", DOI = "https://doi.org/10.1137/0901034", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (58F10 76D10)", MRnumber = "83b:65083", MRreviewer = "T. Y. Li", bibdate = "Mon Mar 31 09:58:52 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1980", } @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", DOI = "https://doi.org/10.1137/0901035", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10", MRnumber = "84h:65019", bibdate = "Mon Mar 31 09:58:52 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1980", } @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", DOI = "https://doi.org/10.1137/0901036", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M50", MRnumber = "83a:65083", bibdate = "Mon Mar 31 09:58:52 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1980", } @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", DOI = "https://doi.org/10.1137/0901037", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90B05 (90C30)", MRnumber = "82i:90023", bibdate = "Mon Mar 31 09:58:52 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1980", } @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", DOI = "https://doi.org/10.1137/0902001", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10", MRnumber = "83a:65030", bibdate = "Mon Mar 31 09:58:54 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1981", } @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", DOI = "https://doi.org/10.1137/0902002", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D07 (41A15 65D05)", MRnumber = "84j:65016a", bibdate = "Mon Mar 31 09:58:54 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1981", } @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", DOI = "https://doi.org/10.1137/0902003", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65P05 (80A20)", MRnumber = "83e:65192", bibdate = "Mon Mar 31 09:58:54 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1981", } @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", DOI = "https://doi.org/10.1137/0902004", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "58E07 (58C15 58C40 65H05 65J15 90C30)", MRnumber = "82k:58031", MRreviewer = "Christian Fenske", bibdate = "Mon Mar 31 09:58:54 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1981", } @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", DOI = "https://doi.org/10.1137/0902005", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "83a:65060", bibdate = "Mon Mar 31 09:58:54 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1981", } @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", DOI = "https://doi.org/10.1137/0902006", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65R20 (76C05)", MRnumber = "83f:65214", bibdate = "Mon Mar 31 09:58:54 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1981", } @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", DOI = "https://doi.org/10.1137/0902007", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M99 (35K55 80A20)", MRnumber = "83c:65210", MRreviewer = "John Crank", bibdate = "Mon Mar 31 09:58:54 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1981", } @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", DOI = "https://doi.org/10.1137/0902008", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M05 (35K55 80A20)", MRnumber = "83c:65197", MRreviewer = "John Crank", bibdate = "Mon Mar 31 09:58:54 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1981", } @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", DOI = "https://doi.org/10.1137/0902009", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (58F14)", MRnumber = "83d:65223", MRreviewer = "Uri Ascher", bibdate = "Mon Mar 31 09:58:54 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1981", } @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", DOI = "https://doi.org/10.1137/0902010", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (93E25)", MRnumber = "83h:65052", MRreviewer = "Ahmed H. Sameh", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "eigenvalues; eigenvalues and eigenfunctions; linear system theory; numerical methods; ordering; QZ-algorithm; Riccati equations; subspace", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902011", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05", MRnumber = "82f:65030", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "iterative methods; linear algebra; linear equations; matrix algebra; nearly singular systems; sparsity", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902012", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (65F35)", MRnumber = "83h:65053", MRreviewer = "Ahmed H. Sameh", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithm; diagonal transformation; eigenvalues and eigenfunctions; generalized eigenvalue problem; numerical methods; QZ algorithm", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902013", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D07", MRnumber = "82f:65010", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Newton minimization algorithm; penalty function method; robust splines; spline functions; splines (mathematics)", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902014", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (65F30)", MRnumber = "82f:65036", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "matrix algebra; nonzero vectors; numerical methods; quadratic matrix equation; scalars; solvent matrix; square matrices", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902015", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "34A55 (65D10)", MRnumber = "84c:34015", MRreviewer = "Brian D. Sleeman", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithm; differential equations; matrix algebra; numerical methods; ordinary differential equations", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902016", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65K05 (49D37)", MRnumber = "83b:65061", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithm; Hessian; least squares approximations; locally constrained steps; negative curvature", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902017", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M99", MRnumber = "82f:65100", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithm; initial value problem; initial value problems; iterative methods; multigrid method; nonlinear mapping; partial differential equation; partial differential equations; time-periodic parabolic problems", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902018", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "49D37 (65K05)", MRnumber = "83a:49053", MRreviewer = "V. F. Dem\cprime yanov", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "function approximation; Hessian; iterative methods; Lagrange multiplier; Lagrangian algorithm; line search algorithm", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902019", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65N20)", MRnumber = "82f:65029", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithms; data structures; linear equations; matrix algebra; numerical methods; sparse elimination; symmetric Gaussian elimination; Yale Sparse Matrix Package", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902020", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (68B20)", MRnumber = "82e:65030", bibdate = "Mon Mar 31 09:58:56 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithms; circulant matrix; Hurwitz factorisation; matrix algebra; numerical methods; parallel Toeplitz linear system; subdiagonals", onlinedate = "June 1981", 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", DOI = "https://doi.org/10.1137/0902021", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90C30 (90C50)", MRnumber = "82k:90098", bibdate = "Mon Mar 31 09:58:58 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "convergence; education; educational testing; examination; nonlinear programming; reliability coefficient; scores; SOLVER method; statistics", onlinedate = "September 1981", 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", DOI = "https://doi.org/10.1137/0902022", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05 (65N20)", MRnumber = "82m:65095", bibdate = "Mon Mar 31 09:58:58 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1981", 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", DOI = "https://doi.org/10.1137/0902023", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76C05", MRnumber = "82k:76018", bibdate = "Mon Mar 31 09:58:58 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Euler equations; finite area; finite vortices; infinite array; staggered parallel rows; uniform vorticity; vortex street; vortices", onlinedate = "September 1981", 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", DOI = "https://doi.org/10.1137/0902024", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76A60 (65P05 76L05 76N10)", MRnumber = "82m:76002", bibdate = "Mon Mar 31 09:58:58 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "contact discontinuities; grid interval; inviscid compressible flows; shock waves; shocks; spectral methods", onlinedate = "September 1981", 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", DOI = "https://doi.org/10.1137/0902025", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76A60 (65P05 76C99)", MRnumber = "82k:76004", bibdate = "Mon Mar 31 09:58:58 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1981", 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", DOI = "https://doi.org/10.1137/0902026", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "82m:65070", bibdate = "Mon Mar 31 09:58:58 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1981", 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", DOI = "https://doi.org/10.1137/0902027", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65G10", MRnumber = "82m:65042", bibdate = "Mon Mar 31 09:58:58 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "column rank; decomposition method; interval analysis; linear least squares problems; matrices; matrix algebra; rank determination; statistics", onlinedate = "September 1981", 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", DOI = "https://doi.org/10.1137/0902028", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10", MRnumber = "82m:65012", bibdate = "Mon Mar 31 09:58:58 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "asymptotic behavior; cross validation; eigenvalues; noisy data; optimal smoothing; smoothing spline; spline functions; splines (mathematics)", onlinedate = "September 1981", 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", DOI = "https://doi.org/10.1137/0902029", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10 (65F30)", MRnumber = "82m:65011", bibdate = "Mon Mar 31 09:58:58 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1981", 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", DOI = "https://doi.org/10.1137/0902030", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (15A06 92A07)", MRnumber = "83b:65029", MRreviewer = "Jerome Eisenfeld", bibdate = "Mon Mar 31 09:59:00 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1981", 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", DOI = "https://doi.org/10.1137/0902031", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F35", MRnumber = "82k:65019", bibdate = "Mon Mar 31 09:59:00 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "condition number; convergence of numerical methods; estimation; linear equation solving software; LINPACK package; matrix algebra; sparse matrices", onlinedate = "December 1981", 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", DOI = "https://doi.org/10.1137/0902032", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H05 (78A50 86A35)", MRnumber = "82k:65025", bibdate = "Mon Mar 31 09:59:00 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1981", 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", DOI = "https://doi.org/10.1137/0902033", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "58E07 (34A50 65L05 76-08 76D99)", MRnumber = "83c:58025", MRreviewer = "Michael Pr{\"u}fer", bibdate = "Mon Mar 31 09:59:00 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1981", 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", DOI = "https://doi.org/10.1137/0902034", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F20", MRnumber = "83d:65124", bibdate = "Mon Mar 31 09:59:00 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1981", 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", DOI = "https://doi.org/10.1137/0902035", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N50", MRnumber = "82k:65072", bibdate = "Mon Mar 31 09:59:00 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "difference equations; diffusion equation; finite difference operators; multi-grid method; strongly discontinuous coefficients", onlinedate = "December 1981", 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", DOI = "https://doi.org/10.1137/0902036", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N50", MRnumber = "82k:65073", bibdate = "Mon Mar 31 09:59:00 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "boundary data; element incidences; finite element analysis; finite element mesh; two-dimensional mesh verification algorithm; vertex coordinates", onlinedate = "December 1981", 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", DOI = "https://doi.org/10.1137/0902037", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F99 (45L10 65R20)", MRnumber = "82k:65020", bibdate = "Mon Mar 31 09:59:00 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1981", 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", DOI = "https://doi.org/10.1137/0903001", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62G30 (65U05)", MRnumber = "83d:62075", bibdate = "Mon Mar 31 09:59:02 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1982", } @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", DOI = "https://doi.org/10.1137/0903002", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M60 (65M50)", MRnumber = "83d:65259", bibdate = "Mon Mar 31 09:59:02 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1982", } @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", DOI = "https://doi.org/10.1137/0903003", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10 (65D07 65L05)", MRnumber = "83d:65036", bibdate = "Mon Mar 31 09:59:02 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1982", } @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", DOI = "https://doi.org/10.1137/0903004", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10", MRnumber = "83f:65044", MRreviewer = "J. Segethov{\'a}", bibdate = "Mon Mar 31 09:59:02 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1982", } @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", DOI = "https://doi.org/10.1137/0903005", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15", MRnumber = "83d:65116", bibdate = "Mon Mar 31 09:59:02 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1982", } @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", DOI = "https://doi.org/10.1137/0903006", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (65F35)", MRnumber = "83e:65072", MRreviewer = "Ludwig Elsner", bibdate = "Mon Mar 31 09:59:02 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1982", } @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", DOI = "https://doi.org/10.1137/0903007", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76N10 (65N05 76-08)", MRnumber = "83f:76069", MRreviewer = "F. Milinazzo", bibdate = "Mon Mar 31 09:59:02 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1982", } @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", DOI = "https://doi.org/10.1137/0903008", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65P05 (35-04)", MRnumber = "83d:65318", bibdate = "Mon Mar 31 09:59:02 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1982", } @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", DOI = "https://doi.org/10.1137/0903009", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76J99 (76-08)", MRnumber = "83f:76062", bibdate = "Mon Mar 31 09:59:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "June 1982", 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", DOI = "https://doi.org/10.1137/0903010", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:04 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", ZMnumber = "482.65009", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1982", } @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", DOI = "https://doi.org/10.1137/0903011", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D30 (65-04)", MRnumber = "83d:65059", bibdate = "Mon Mar 31 09:59:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximations to multiple integrals; Fortran subroutine; integration; interpolation; multiple integrals; multivariable Lagrange interpolation; subroutines", onlinedate = "June 1982", 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", DOI = "https://doi.org/10.1137/0903012", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H05", MRnumber = "83d:65152", bibdate = "Mon Mar 31 09:59:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "arc-length continuation; eigenvalues and eigenfunctions; elliptic systems; linear systems; multi-grid algorithm; multi-grid methods; nonlinear elliptic eigenvalue problems; partial differential equations", onlinedate = "June 1982", 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", DOI = "https://doi.org/10.1137/0903013", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (81C12)", MRnumber = "83d:65232", bibdate = "Mon Mar 31 09:59:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "PAPSM; perturbation series solution; piecewise analytical perturbation series; radial Schrodinger equation; Schrodinger equation", onlinedate = "June 1982", 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", DOI = "https://doi.org/10.1137/0903014", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F20 (65F05)", MRnumber = "83d:65126", bibdate = "Mon Mar 31 09:59:04 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1982", } @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", DOI = "https://doi.org/10.1137/0903015", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62M10 (62K05)", MRnumber = "83h:62137", bibdate = "Mon Mar 31 09:59:04 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1982", } @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", DOI = "https://doi.org/10.1137/0903016", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76-08 (76D05)", MRnumber = "83f:76008", bibdate = "Mon Mar 31 09:59:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "June 1982", 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", DOI = "https://doi.org/10.1137/0903017", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N99 (65N30)", MRnumber = "84c:65148", MRreviewer = "David F. Griffiths", bibdate = "Mon Mar 31 09:59:07 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "boundary value problems; cell discretization algorithm; elliptic equations; elliptic partial differential equations; finite element method; partial differential equations; representative problems", onlinedate = "September 1982", 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", DOI = "https://doi.org/10.1137/0903018", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D15 (33A65 65D20)", MRnumber = "84e:65022", MRreviewer = "H. E. Fettis", bibdate = "Mon Mar 31 09:59:07 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Chebyshev; Chebyshev approximation; finite-dimensional maps; numerical stability; orthogonal polynomials; polynomials; Stieltjes", onlinedate = "September 1982", 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", DOI = "https://doi.org/10.1137/0903019", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "78A50", MRnumber = "83k:78019", MRreviewer = "W. L. Ko", bibdate = "Mon Mar 31 09:59:07 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Helmholtz equation; localized radiation conditions; numerical determination; radiation condition; two-dimensional wave guide; wave guide problems; waveguide theory", onlinedate = "September 1982", 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", DOI = "https://doi.org/10.1137/0903020", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (65N10)", MRnumber = "83j:65085", MRreviewer = "John C. Strikwerda", bibdate = "Mon Mar 31 09:59:07 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1982", 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", DOI = "https://doi.org/10.1137/0903021", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10", MRnumber = "83i:65032", bibdate = "Mon Mar 31 09:59:07 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "highly vectorizable; ICCG methods; large sparse linear systems; linear algebra; preconditioned conjugate gradient method; vector machine; vectorizable variant", onlinedate = "September 1982", 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", DOI = "https://doi.org/10.1137/0903022", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65R10", MRnumber = "84h:65113", bibdate = "Mon Mar 31 09:59:07 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "convergence of the Fourier series; function approximation; inversion integral; Laplace transforms; numerical inversion; numerical methods; Pade approximation", onlinedate = "September 1982", treatment = "T Theoretical or Mathematical", } @Article{Petzold:1982:DAE, author = "Linda Petzold", title = "Differential\slash algebraic equations are not {ODE}'s", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "3", pages = "367--384", month = sep, year = "1982", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0903023", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L99 (65H99)", MRnumber = "83i:65066", MRreviewer = "L. F. Shampine", bibdate = "Mon Mar 31 09:59:07 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "differential equations; differential/algebraic equations; difficulties; error estimates; numerical methods; ODE systems; stiff systems", onlinedate = "September 1982", 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", DOI = "https://doi.org/10.1137/0903024", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D07 (41A15 65D05)", MRnumber = "84j:65016b", bibdate = "Mon Mar 31 09:59:07 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "September 1982", } @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", DOI = "https://doi.org/10.1137/0903025", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05 (65F35)", MRnumber = "84i:65095", bibdate = "Mon Mar 31 09:59:09 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1982", 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", DOI = "https://doi.org/10.1137/0903026", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65P05 (76-08 76N15)", MRnumber = "84c:65151", MRreviewer = "T. S. Papatheodorou", bibdate = "Mon Mar 31 09:59:09 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1982", treatment = "T Theoretical or Mathematical", } @Article{Monaghan:1982:WPM, author = "J. J. Monaghan", title = "Why Particle Methods Work", journal = j-SIAM-J-SCI-STAT-COMP, volume = "3", number = "4", pages = "422--433", month = dec, year = "1982", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0903027", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76-08 (65P05 76W05 85A30)", MRnumber = "84h:76005", MRreviewer = "Harald E. Krogstad", bibdate = "Mon Mar 31 09:59:09 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximation theory; finite difference methods; hydrodynamics; interpolation; kernel estimation; particle methods; spectral methods; SPH equations", onlinedate = "December 1982", 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", DOI = "https://doi.org/10.1137/0903028", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62H10 (62-04 65D30)", MRnumber = "84a:62082", bibdate = "Mon Mar 31 09:59:09 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "arbitrary polygon; bivariate normal distribution; integration; probability; self-intersecting polygon; statistics; uniformly bounded N-sided simple polygons", onlinedate = "December 1982", 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", DOI = "https://doi.org/10.1137/0903029", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (73K25)", MRnumber = "84a:65093", MRreviewer = "N. Gass", bibdate = "Mon Mar 31 09:59:09 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1982", 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", DOI = "https://doi.org/10.1137/0903030", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05 (65N20 80A20)", MRnumber = "84j:65058", MRreviewer = "Robert Beauwens", bibdate = "Mon Mar 31 09:59:09 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1982", 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", DOI = "https://doi.org/10.1137/0903031", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M20 (65F35)", MRnumber = "84i:65083", bibdate = "Mon Mar 31 09:59:09 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1982", 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", DOI = "https://doi.org/10.1137/0903032", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (65F05)", MRnumber = "83k:65027", bibdate = "Mon Mar 31 09:59:09 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1982", 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", DOI = "https://doi.org/10.1137/0903033", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C10 (65U05)", MRnumber = "84b:65011", MRreviewer = "James E. Gentle", bibdate = "Mon Mar 31 09:59:09 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithms; digital simulation; generalised inverse Gaussian distribution; multivariate generalized hyperbolic distributions; probability; simulation; statistics", onlinedate = "December 1982", treatment = "T Theoretical or Mathematical", } @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", DOI = "https://doi.org/10.1137/0904001", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65E05 (30C30 45L10)", MRnumber = "84c:65054", MRreviewer = "W. Niethammer", bibdate = "Mon Mar 31 09:59:11 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1983", } @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", DOI = "https://doi.org/10.1137/0904002", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D30", MRnumber = "84c:65041", MRreviewer = "G. A. Evans", bibdate = "Mon Mar 31 09:59:11 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "convergence; convergence of numerical methods; extrapolation; global adaption; input accuracy request; integration; numerical examples; numerical quadrature; work", onlinedate = "March 1983", 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", DOI = "https://doi.org/10.1137/0904003", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15", MRnumber = "84b:65041", bibdate = "Mon Mar 31 09:59:11 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1983", 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 = "https://doi.org/10.1137/0904004", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H10 (58C40 58E07)", MRnumber = "84f:65047", MRreviewer = "Eugene Allgower", bibdate = "Mon Mar 31 09:59:11 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "derivative-free arc-following method; determinant; finite differences; Jacobi matrix; multiple bifurcation points; nonlinear equations; primary bifurcation points; secondary bifurcation points", onlinedate = "March 1983", 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", DOI = "https://doi.org/10.1137/0904005", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65K05 (90C05)", MRnumber = "84e:65060", MRreviewer = "N. N. Abdelmalek", bibdate = "Mon Mar 31 09:59:11 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1983", 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", DOI = "https://doi.org/10.1137/0904006", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30", MRnumber = "84b:65043", bibdate = "Mon Mar 31 09:59:11 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computer rounding errors; diagonal modification; diagonal positive-definite matrix; down dating algorithm; matrix algebra; n-vector; triangular factors; unit diagonal; upper-triangular matrix", onlinedate = "March 1983", 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", DOI = "https://doi.org/10.1137/0904007", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76C05 (35Q10 65P05 73J06 76-08 76Z05)", MRnumber = "84d:76015", bibdate = "Mon Mar 31 09:59:11 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1983", 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", DOI = "https://doi.org/10.1137/0904008", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76N15 (65P05 76-08 76L05)", MRnumber = "84c:76052", bibdate = "Mon Mar 31 09:59:11 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "conventional damping term; friction; gas pipelines; Moody friction; numerical schemes; pipe flow; shock waves; shocks; spikes; transient flow; uniform sampling method", onlinedate = "March 1983", 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", DOI = "https://doi.org/10.1137/0904009", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76R10 (65M05 76-08)", MRnumber = "84h:76037", MRreviewer = "Robert Pearson", bibdate = "Mon Mar 31 09:59:11 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1983", 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 = "136--148", month = mar, year = "1983", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0904010", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "84k:65075", MRreviewer = "W. H. Enright", bibdate = "Mon Mar 31 09:59:11 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", ZMnumber = "518.65051", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "automatic method selection; differential equations; integration; LSODE package; nonstiff problems; ordinary differential equations; stiff problems", onlinedate = "March 1983", treatment = "P Practical", xxpages = "137--148", } @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", DOI = "https://doi.org/10.1137/0904011", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M99 (76Q05)", MRnumber = "84f:65074", MRreviewer = "Luciano Biasini", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "iterative methods; nonlinear equations; nonlinear wave equation; ocean sound velocity profile; oceanographic techniques; pulse-spectrum technique; remote sensing; underwater sound; wave equations", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904012", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F35 (65R20)", MRnumber = "84g:65052", MRreviewer = "V. V. Vasin", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "integral equations; linear algebra; linear ill-posed problems; linear systems; numerical methods; numerical solution", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904013", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F20 65U05)", MRnumber = "85d:65029", MRreviewer = "M. Brannigan", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Givens rotations; large sparse; linear least squares problems; matrix algebra; normal equations; numerical methods; observation matrix; Peters-Wilkinson algorithm", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904014", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "84d:65051", bibdate = "Mon Mar 31 09:59:13 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1983", } @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", DOI = "https://doi.org/10.1137/0904015", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15", MRnumber = "84h:65035", MRreviewer = "Robert Todd Gregory", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "eigenvalues and eigenfunctions; eigenvalues and eigenvectors; Lanczos algorithms; large matrices; matrix algebra; real matrix; sparse real matrices; symmetric matrices", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904016", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (65F20)", MRnumber = "84d:65021", bibdate = "Mon Mar 31 09:59:13 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1983", } @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", DOI = "https://doi.org/10.1137/0904017", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F25 (15A04)", MRnumber = "84m:65054", MRreviewer = "B. N. Datta", bibdate = "Mon Mar 31 09:59:13 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1983", } @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", DOI = "https://doi.org/10.1137/0904018", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (34E20)", MRnumber = "84e:65064", MRreviewer = "R. E. O'Malley, Jr.", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "asymptotic-finite element method; boundary-value problems; finite element analysis; nonlinear; numerical method; numerical methods; quasilinearization; two-point boundary value problems", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904019", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N25 (65N30)", MRnumber = "84f:65079", MRreviewer = "K. Najzar", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1983", } @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", DOI = "https://doi.org/10.1137/0904020", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30 (68A05)", MRnumber = "84d:65027", bibdate = "Mon Mar 31 09:59:13 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1983", } @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", DOI = "https://doi.org/10.1137/0904021", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M05 (65N05)", MRnumber = "84e:65090", MRreviewer = "W. F. Ames", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "curvilinear grid; finite element analysis; hyperbolic differential equations; interpolation; overlapping grids; partial differential equations", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904022", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65R20", MRnumber = "84d:65093", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Abel integral equation; COMIVE; constrained minimum variance estimator; integral equations; Monte Carlo; optimal algorithm", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904023", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D07 (41A15)", MRnumber = "84g:65022", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "adaptive procedure; function approximation; nonlinear; spline functions; splines (mathematics)", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904024", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62H17 (62-04)", MRnumber = "84f:62067", bibdate = "Mon Mar 31 09:59:13 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "June 1983", } @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", DOI = "https://doi.org/10.1137/0904025", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "49D07 (49D20 65D25)", MRnumber = "84i:49052", MRreviewer = "G. Di Pillo", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "finite element analysis; finite-difference approximation; forward-difference intervals; nonlinear function; numerical optimization; optimisation", onlinedate = "June 1983", treatment = "T Theoretical or Mathematical", } @Article{Causey:1983:CAO, author = "Beverley 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", DOI = "https://doi.org/10.1137/0904026", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational aspects; convex programming; multivariate stratified sampling; Neyman allocation; optimal allocation; statistical analysis; total sampling cost", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904027", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62M20 (62M10)", MRnumber = "84g:62152", MRreviewer = "Hideaki Sakai", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Cholesky decomposition; covariance stationary time series; filtering and prediction theory; finite memory prediction; linear predictors; statistical analysis; time series", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904028", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "73K25 (73K05)", MRnumber = "84e:73045", MRreviewer = "Ranbir S. Sandhu", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "beam bending; bending; convergence of numerical methods; elastic foundations; elasticity; error analysis; error estimates; Galerkin procedure; Green's function; order of convergence; superconvergence", onlinedate = "June 1983", 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", DOI = "https://doi.org/10.1137/0904029", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62E30 (65D30 65U05)", MRnumber = "84m:62035", MRreviewer = "James E. Gentle", bibdate = "Mon Mar 31 09:59:13 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "cumulative distribution; integration; inversion integral; numerically integrating; probability; random variable", onlinedate = "June 1983", treatment = "T Theoretical or Mathematical", } @Article{Dutton:1983:MSI, author = "Robert 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", DOI = "https://doi.org/10.1137/0904030", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:15 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1983", 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", DOI = "https://doi.org/10.1137/0904031", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05 (65C20 65N30 78A55)", MRnumber = "86c:65113a", bibdate = "Mon Mar 31 09:59:15 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1983", 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", DOI = "https://doi.org/10.1137/0904032", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05 (65C20 65N30 65W05 78A55)", MRnumber = "86c:65113b", bibdate = "Mon Mar 31 09:59:15 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1983", treatment = "T Theoretical or Mathematical", } @Article{Watanabe:1983:NSH, author = "Daniel S. Watanabe and Sumantri 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", DOI = "https://doi.org/10.1137/0904033", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:15 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1983", treatment = "T Theoretical or Mathematical", } @Article{Polak:1983:APR, author = "Simon J. Polak and Willy H. A. Schilders and Cor den Heijer and Arthur J. H. Wachters and Harry 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", DOI = "https://doi.org/10.1137/0904034", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:15 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "automatic problemsize reduction; discretized problem; numerical methods; onstate semiconductor problems; semiconductor device models", onlinedate = "September 1983", treatment = "T Theoretical or Mathematical", } @Article{Blue:1983:TDA, author = "James L. Blue and Charles L. 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", DOI = "https://doi.org/10.1137/0904035", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:15 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1983", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Newton:1983:RBE, author = "Arthur Richard Newton and Alberto 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", DOI = "https://doi.org/10.1137/0904036", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:15 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1983", 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", DOI = "https://doi.org/10.1137/0904037", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "60K25 (65F50)", MRnumber = "84k:60127", bibdate = "Mon Mar 31 09:59:15 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1983", 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", DOI = "https://doi.org/10.1137/0904038", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65K05 (90C30)", MRnumber = "86b:65063", MRreviewer = "A. Ben-Israel", bibdate = "Mon Mar 31 09:59:15 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "ellipsoidal constraint; Fortran implementation; GQTPAR; minimisation; minimizer; quadratic function; trust region Newton's method; trust region step computing", onlinedate = "September 1983", 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", DOI = "https://doi.org/10.1137/0904039", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05", MRnumber = "85e:65012", MRreviewer = "Wolfgang Bunse", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "bordering algorithm; boundary value problems; boundary-value problems; differential equations; higher nullity; linear systems; nonsingular linear systems; path following; singular points", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904040", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "85a:65104", MRreviewer = "Luciano Biasini", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "codes; iterative methods; Jacobian; linear differential equations; nonlinear equation; ODE codes; quasiNewton method; still equation", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904041", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F35 (15A12)", MRnumber = "85a:65065", MRreviewer = "F. Szidarovszky", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "linear differential equations; linear systems; LINPACK software package; matrix algebra; three condition number estimators", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904042", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L99 (34E15)", MRnumber = "85a:65131", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904043", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76D05 (35Q10 65N30 76-08)", MRnumber = "85h:76021", MRreviewer = "Christopher Caldwell", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904044", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "85j:65026", MRreviewer = "Nabil R. Nassif", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "codes; differential equations; extrapolation; extrapolation methods; initial value problem; ordinary differential equations", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904045", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D05", MRnumber = "85a:65021", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "accurate monotonicity preserving cubic interpolation; approximation theory; Hermite interpolant; interpolation", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904046", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N99 (76S05 90C33)", MRnumber = "85h:65261", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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 = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot, Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904047", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76-08 (76H05)", MRnumber = "85a:76004", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "airfoils; blunt bodies; grid-free numerical method; incompressible slightly viscous flow; Joukowski airfoil; Navier--Stokes equations; numerical methods; Reynolds numbers; viscosity", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904048", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62L20", MRnumber = "85e:62173", MRreviewer = "Luc P. Devroye", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "direct access storage space; quantile estimation; space-efficient recursive procedure; stochastic approximation; stochastic processes; unknown distribution", onlinedate = "December 1983", treatment = "T Theoretical or Mathematical", } @Article{Dongarra:1983:IAC, 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", DOI = "https://doi.org/10.1137/0904049", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10", MRnumber = "85a:65054", MRreviewer = "Beny Neta", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904050", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62H10 (62-04)", MRnumber = "85d:62059", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "closed system; conditional moments approximation; conditional normal moments; MACSYMA; multivariate normal distribution; polynomial approximations; polynomials; symbol manipulation; symbolic manipulation", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904051", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10", MRnumber = "85b:65074", MRreviewer = "J. Sprekels", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "characteristic polynomials; cyclic multistep formulae; differential equations; numerical integration; ordinary differential equations; polynomials; stiff systems", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904052", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90B05", MRnumber = "85a:90088", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximation theory; finite descent algorithm; Jaccard metric; necessary conditions; single facility location problem", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904053", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90C25 (65K05 90C08)", MRnumber = "85c:90070", MRreviewer = "Andrew R. Conn", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "curve fitting; descent algorithm; linear programming; nonparametric procedures; piecewise linear functions; piecewise-linear techniques; polyhedral convex functions minimisation; proximal transform", onlinedate = "December 1983", 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", DOI = "https://doi.org/10.1137/0904054", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15", MRnumber = "85a:65062", bibdate = "Mon Mar 31 09:59:17 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "December 1983", } @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", DOI = "https://doi.org/10.1137/0905001", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M05 (76-08)", MRnumber = "86a:65085", bibdate = "Mon Mar 31 09:59:20 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "March 1984", } @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", DOI = "https://doi.org/10.1137/0905002", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76H05 (65P05)", MRnumber = "86a:76029", MRreviewer = "Michael J. O'Carroll", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905003", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D32", MRnumber = "85c:65026", MRreviewer = "Robert Piessens", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "addition of points; error analysis; error estimation; Gauss--Laguerre quadrature; integration; interval of integration; positive weights; real points", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905004", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76D05 (65N05 76-08)", MRnumber = "85a:76044", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905005", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05", MRnumber = "86c:65116", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905006", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76-08 (65N30)", MRnumber = "85a:76011", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "centrifuges; finite element analysis; finite element method; gas centrifuge flow problems; Onsager pancake approximation; rapid rotation; rotational flow", onlinedate = "March 1984", treatment = "T Theoretical or Mathematical", } @Article{Bojanczyk:1984:NSS, author = "A. Boja{\'n}czyk 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", DOI = "https://doi.org/10.1137/0905007", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05", MRnumber = "85b:65026", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905008", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "92A09 (31B20)", MRnumber = "85d:92007", MRreviewer = "G. Eason", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "activation times; body surface potentials; electrocardiography; heart surface; inverse problem; isochrones; measurement errors; regularization techniques; singular value decomposition; time domain; ventricular depolarization", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905009", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65H10)", MRnumber = "85h:65065", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905010", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65J15 (58C30)", MRnumber = "85h:65126", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905011", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (34A55 34B25)", MRnumber = "85c:65097", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905012", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "68R10", MRnumber = "85a:68148", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "address calculation sort; data structures; Kruskal; minimum spanning tree algorithms; networks; Prim; Sollin; trees (mathematics)", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905013", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D15 (62G05)", MRnumber = "85b:65011", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximation theory; curve fitting; equality; function approximation; linear combinations; necessary and sufficient condition; nonlinear functions; nonuniqueness; projection pursuit algorithms; representation", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905014", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (49D15)", MRnumber = "85c:65148", MRreviewer = "Gerhard Telschow", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905015", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10", MRnumber = "85m:65029", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "banded Hessenberg matrix; indefinite systems; Krylov subspace methods; linear algebra; linear equations; LU factorisation; nonsymmetric linear systems; partial pivoting; stable factorisations; SYMMLQ", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905016", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10 (65F35 65R20 80-08)", MRnumber = "86c:65014", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905017", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F35 (45B05 49A34 65D10)", MRnumber = "86b:65034", bibdate = "Mon Mar 31 09:59:20 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1984", 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", DOI = "https://doi.org/10.1137/0905018", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M99", MRnumber = "86c:65111", MRreviewer = "Nabil R. Nassif", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "inverse problems; iterative algorithm; iterative methods; linear diffusion equation; numerical algorithm; pulse-spectrum technique; two-dimensional diffusion equations", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905019", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F05)", MRnumber = "85f:65039", MRreviewer = "O. Pokorn{\'a}", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "codes; CRAY-1; data structures; design features; frontal code; IBM 3033; internal data structures; pivoting strategy; sparse unsymmetric linear systems; user interface", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905020", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (65N20)", MRnumber = "86g:65067", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905021", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D05 (65D07)", MRnumber = "85h:65022", MRreviewer = "Peter Alfeld", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "interpolation; local monotone piecewise cubic interpolants; monotone data", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905022", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "30C60 (65N05)", MRnumber = "85f:30029", MRreviewer = "Timo Erkama", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "boundary-value problems; elliptic equations; finite difference scheme; graph theory; grid generation; quasiconformal mappings; two-dimensional surfaces", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905023", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F35", MRnumber = "86f:65083", MRreviewer = "Jozef Miklo{\v{s}}ko", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "condition number; matrix; matrix algebra", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905024", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62M10 (65F15)", MRnumber = "85c:62236", MRreviewer = "E. L. Albasiny", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905025", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65J15", MRnumber = "85i:65075", MRreviewer = "K. Moszy{\'n}ski", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905026", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65U05 (65C10)", MRnumber = "86a:65137", MRreviewer = "M. Muller", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "FORTRAN subroutine; Fortran subroutines; Monte Carlo methods; numerical analysis; REXP; RNOR; sampling; subroutines; symmetric unimodal density functions; ziggurat method", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905027", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (65F15)", MRnumber = "85c:65089", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "bidirectional shooting; boundary value problems; boundary-value problems; differential equations; endpoints; matrices; ordinary differential equations; orthogonal projections; reliability; singular values", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905028", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "70-08 (70E99)", MRnumber = "85b:70002", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905029", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10 (65F50 65U05)", MRnumber = "85k:65012", MRreviewer = "John Todd", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "constrained linear least squares problems; dense subsets; general updating algorithm; least squares approximations; linear constraints; sparse subsets", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905030", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F25 (65F15)", MRnumber = "85h:65086", MRreviewer = "G. C. Barozzi", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "errors; matrix algebra; matrix rank; perturbation theory; rank degeneracy", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905031", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76U05", MRnumber = "85b:76058", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "channel flow; forced waves; open boundary conditions; rotating fluid; rotational flow; Sommerfeld radiation condition; waves", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905032", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65G10 (65N05)", MRnumber = "85f:65047", MRreviewer = "J. Albrycht", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905033", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "60J10 (65U05)", MRnumber = "85j:60124", MRreviewer = "M. F. Neuts", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "direct LU factorization method; error analysis; Markov chains; Markov processes; probability; stationary distributions", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905034", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C10 (62H99)", MRnumber = "85h:65018", MRreviewer = "G. P. Bhattacharjee", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "correlation matrices generation; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; Monte Carlo methods; random correlation matrices; random variables", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905035", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65U05 (62-04)", MRnumber = "85h:65282", MRreviewer = "Kenneth N. Berk", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "closed-form expressions; composite random variables; normal variables; numerical integration; numerical methods; probability; probability density; quadratic forms", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905036", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "85i:65092", MRreviewer = "J. M. Sanz-Serna", bibdate = "Mon Mar 31 09:59:22 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "backward differentiation formulas; differential equations; instability; one-leg formulas; stability; stability properties; stiff ordinary differential equations", onlinedate = "June 1984", 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", DOI = "https://doi.org/10.1137/0905037", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F20)", MRnumber = "86j:65051", bibdate = "Mon Mar 31 09:59:24 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", ZMnumber = "575.65030", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "B Bibliography; T Theoretical or Mathematical", } @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", ISSN-L = "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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", DOI = "https://doi.org/10.1137/0905038", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "73K40 (65F50)", MRnumber = "85f:73078", bibdate = "Mon Mar 31 09:59:24 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", ZMnumber = "575.65031", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat. Lab", treatment = "T Theoretical or Mathematical", } @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", DOI = "https://doi.org/10.1137/0905039", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H10 (90C30)", MRnumber = "85h:65112", MRreviewer = "J. E. Dennis, Jr.", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905040", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (65N20 65W05 76S05)", MRnumber = "86b:65026", MRreviewer = "R. P. Tewarson", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905041", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (49D99 65K10)", MRnumber = "85k:65038", MRreviewer = "Sven-{\AA}ke Gustafson", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905042", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (65F50)", MRnumber = "85i:65048", MRreviewer = "David R. Kincaid", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "eigenvalues; eigenvalues and eigenfunctions; EISPACK; FORTRAN subroutines; Lanczos algorithm; matrix algebra; software; software packages; sparse matrices; subspace iteration", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905043", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50", MRnumber = "85h:65094", MRreviewer = "Niels Munksgaard", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "auxiliary storage; Gaussian elimination; linear algebra; linear equations; main memory; matrix factorization; NAG; orthogonal decompositions; pivoting; positive definite systems; software; sparse systems", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905044", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65F10 65W05 68N99 68U10)", MRnumber = "85h:65226", MRreviewer = "C. Wayne Mastin", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905045", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50", MRnumber = "85h:65093", MRreviewer = "Niels Munksgaard", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "CRAY-1; frontal solution; Gaussian elimination; IBM 3081K; linear algebra; linear equations; multifrontal technique; numerical methods; parallel machine; sparse matrices; unsymmetric equations; vectorization", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905046", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "80A30 (80-04)", MRnumber = "85g:80004", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905047", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15", MRnumber = "85k:65032", MRreviewer = "R. E. Funderlic", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905048", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76-08 (65M05 76L05)", MRnumber = "85f:76012", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905049", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "30C30", MRnumber = "86a:30011", MRreviewer = "G. Opfer", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905050", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "86j:65190", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "array computers; block tridiagonal systems; data flow requirements; linear system solving techniques; matrix algebra; multiphase parallel structuring; parallel algorithms; parallel processing; reconfigurable computers", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905051", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62J05 (62F35)", MRnumber = "85h:62086", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "constrained regression; Huber; least absolute residuals; least squares; least squares approximations; linear regression; M-estimator; robust regression; scale estimate; statistical analysis; trimmed mean", onlinedate = "September 1984", 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", DOI = "https://doi.org/10.1137/0905052", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:24 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1984", 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}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "745--763", month = dec, year = "1984", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0905053", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10", MRnumber = "86a:65076", MRreviewer = "V. Pereyra", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "boundary value problems (BVP); boundary-value problems; differential equations; efficient algorithm; general linear two-point BVP; integration; integration steps; multiple shooting recursion; numerical analysis; numerical examples; stability", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905054", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62H25 (65U05)", MRnumber = "86j:62136", MRreviewer = "Jack C. Lee", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "factor analysis; factor matrix; iterative computing; least squares fit; matrix algebra; numerical methods; oblique procrustes; oblique rotation; statistical analysis; target matrix", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905055", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "86b:30009", MRreviewer = "G. Opfer", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "annulus; concentric circles; conformal mapping; convergence; convergence of numerical methods; doubly connected regions; iterative methods; linearly converging iteration scheme; numerical method; smooth boundaries", onlinedate = "December 1984", treatment = "T Theoretical or Mathematical", } @Article{McKeown:1984:MPA, author = "Patrick 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", DOI = "https://doi.org/10.1137/0905056", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905057", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C10 (11K06)", MRnumber = "86f:65029", MRreviewer = "R. G. Stoneham", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "integers; k-step; linear recursions; pseudorandom number generators; random number generation; recursive functions; sequences; uniformity test", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905058", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (34E15)", MRnumber = "86g:65138b", MRreviewer = "D. F. Mayers", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905059", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "49D99 (34K35 93B40)", MRnumber = "86b:49052", MRreviewer = "F. M. Kirillova", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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)", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905060", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M10", MRnumber = "86d:65115", MRreviewer = "W. F. Ames", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905061", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (34E15)", MRnumber = "86a:65070", MRreviewer = "Martin Stynes", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905062", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65G05", MRnumber = "85m:65035", MRreviewer = "G. Alefeld", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "codes; digital arithmetic; eigenvalue calculation; Gaussian elimination; gradual underflow; numerical software; polynomial evaluation; reliability; roundoff; roundoff errors; store zero; uncertainty; underflow mechanisms", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905063", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65L20)", MRnumber = "86b:65066", MRreviewer = "Kevin Burrage", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "arithmetic operations; code; differential equations; formula families; integration; integration step; oscillatory problems; trial codes", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905064", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65U05 (62M99 94A12)", MRnumber = "86g:65240", MRreviewer = "Carl G. Looney", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "analogue-digital conversion; error estimates; least squares estimation; linear function; noise; quantized integrated samples; random noise; slope; statistical analysis", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905065", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M60 (35Q20)", MRnumber = "86d:65125", MRreviewer = "W. F. Ames", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Boussinesq equation; Galerkin methods; good Boussinesq equation; numerical experiment; numerical methods; numerical solutions; partial differential equations; soliton solutions; two-soliton interaction", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905066", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M10 (65M05 76V05)", MRnumber = "86a:65088", MRreviewer = "D. Schultz", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "December 1984", treatment = "T Theoretical or Mathematical", } @Article{Jennings:1984:IMS, author = "A. Jennings and M. A. Ajiz", title = "Incomplete Methods for Solving {$ A^T A x = b $}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "5", number = "4", pages = "978--987", month = dec, year = "1984", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0905067", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10 (65F20)", MRnumber = "86a:65016", MRreviewer = "Youcef Saad", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Givens rotation; Gram--Schmidt; incomplete methods; matrix algebra; numerical efficiencies; orthogonal decompositions; structural analyses", onlinedate = "December 1984", 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", DOI = "https://doi.org/10.1137/0905068", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F05)", MRnumber = "86h:65058", MRreviewer = "A. Bunse-Gerstner", bibdate = "Mon Mar 31 09:59:26 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "column updating; inconsistency; linear equations; matrix; matrix algebra; minimum-norm solution; orthogonal factorization; rank deficient; sparse underdetermined systems", onlinedate = "December 1984", treatment = "T Theoretical or Mathematical", } @Article{Shampine:1985:GEE, author = "L. F. Shampine and L. S. Baca", title = "Global error estimates for {ODEs} based on extrapolation methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "1--14", month = jan, year = "1985", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0906001", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65-04)", MRnumber = "86h:65105", MRreviewer = "Hans J. Stetter", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906002", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90C30 (65K05)", MRnumber = "86e:90096", MRreviewer = "Riho Lepp", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "cycle; function minimisation; global minimization; iterative algorithm; iterative methods; minimisation; nonlinear programming; tunneling algorithm", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906003", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62J02 (65D10)", MRnumber = "86i:62130", MRreviewer = "J{\"o}rg Polzehl", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "best least squares solution; continuous function; curve fitting; discrete data; exponential fitting; exponential functions; least squares approximations; nonlinear least squares; nonuniqueness; sensitivity; uniqueness", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906004", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05", MRnumber = "86f:65175", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906005", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H10 (65L15 65N25)", MRnumber = "86c:65043", MRreviewer = "W. C. Rheinboldt", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", treatment = "T Theoretical or Mathematical", } @Article{Serbin:1985:SCS, author = "Steven M. Serbin", title = "Some cosine schemes for second-order systems of {ODEs} with time-varying coefficients", journal = j-SIAM-J-SCI-STAT-COMP, volume = "6", number = "1", pages = "61--68", month = jan, year = "1985", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0906006", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "87k:65089", MRreviewer = "Nabil R. Nassif", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906007", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65F15)", MRnumber = "86i:65089", MRreviewer = "Youcef Saad", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906008", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "85-04", MRnumber = "85m:85001", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906009", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M05 (76-08 76N15)", MRnumber = "86g:65156", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906010", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H05", MRnumber = "86g:65095", MRreviewer = "T. L. Freeman", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "divided differences; function approximation; interpolation; nonmonotone rational approximation; polynomials; rootfinder", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906011", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62H30", MRnumber = "86h:62087", MRreviewer = "A. D. Gordon", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computer graphics; grand tour; multidimensional data; multivariate statistical data; orthogonal projections; statistics; two-dimensional subspaces", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906012", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20", MRnumber = "86i:65066", MRreviewer = "A. V. Dzhishkariani", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906013", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "81C12 (81-08)", MRnumber = "86g:81035", MRreviewer = "Ernest R. Davidson", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906014", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C05 (65D30)", MRnumber = "86d:65018", MRreviewer = "Ryszard Zieli{\'n}ski", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906015", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65W05)", MRnumber = "86g:65062", MRreviewer = "Henry Wolkowicz", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906016", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H05 (90C30)", MRnumber = "86b:65042", MRreviewer = "W. M. Kincaid", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906017", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62F35 (62J05)", MRnumber = "86m:62066", MRreviewer = "Joseph W. McKean", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximation theory; behaviour; defining function; finite algorithm; Huber's M-estimator; L/sub 1/ estimator; linear algebra; mathematical structure; maximum likelihood estimator; uniqueness", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906018", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (65N20)", MRnumber = "87c:65035a", MRreviewer = "Ian Gladwell", bibdate = "Mon Mar 31 09:59:28 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1985", 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", DOI = "https://doi.org/10.1137/0906019", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90C30 (65K10)", MRnumber = "86k:90119", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "conic algorithm; conic function; conjugate gradient method; convergence of numerical methods; error bounds; numerical stability; optimisation; optimization; orthogonality properties", onlinedate = "April 1985", treatment = "T Theoretical or Mathematical", } @Article{Diehr:1985:EBB, author = "George 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", DOI = "https://doi.org/10.1137/0906020", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "branch and bound algorithm; lower bounds; mathematical programming; objective function; optimal clustering; pattern recognition; statistical analysis; within-group sum-of-squares", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906021", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76Q05 (65M05 65W05)", MRnumber = "86c:76041", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906022", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (34A50 65M20)", MRnumber = "86d:65083", MRreviewer = "J. R. Cash", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906023", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H10 (65W05)", MRnumber = "86e:65072", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906024", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (34E05)", MRnumber = "86e:65091", MRreviewer = "David K. Kahaner", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "convergence of numerical methods; differential equations; higher index linear time varying singular systems; numerical examples; numerical methods; Taylor series methods; time-varying systems", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906025", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30", MRnumber = "87a:65073", MRreviewer = "David R. Kincaid", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906026", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D30 (65E05 76-08)", MRnumber = "86h:65028", MRreviewer = "G. P. Bhattacharjee", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Bartky's method; elliptic integrals; integral equations; integration; numerical integration; round-nosed wedges", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906027", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H10 (65U05)", MRnumber = "87a:65087", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "generating function factorization method; iterative methods; nonlinear equations; nonlinear systems; numerical methods; parameter estimation; sufficient conditions; time series; time series analysis", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906028", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F05 65W05)", MRnumber = "86e:65060", MRreviewer = "Zahari Zlatev", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906029", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62J05 (65F20 90C15)", MRnumber = "86j:62152", MRreviewer = "Joseph W. McKean", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906030", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "49D15 (49D37 65H05)", MRnumber = "86d:49045", MRreviewer = "Sven-{\AA}ke Gustafson", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "BFGS update; Choleski factors; covariant update factor; iterative methods; minimisation; quasi-Newton update factors; variational techniques", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906031", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (49D07)", MRnumber = "86h:65038", MRreviewer = "Fran{\c{c}}ois Robert", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "bordered systems; conjugate gradient; continuation methods; eigenvalues; iterative methods; Krylov subspaces; nonlinear elliptic problem; nonlinear equations; numerical experiments; preconditioning; symmetry", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906032", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (49D07 65W05)", MRnumber = "86h:65037", MRreviewer = "Fran{\c{c}}ois Robert", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906033", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76B15 (35Q20 76-04 86A05)", MRnumber = "86c:76008", MRreviewer = "E. Cumberbatch", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906034", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65F10 65N30 76R99)", MRnumber = "86h:65169", MRreviewer = "M. M. Sussman", bibdate = "Mon Mar 31 09:59:31 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1985", 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", DOI = "https://doi.org/10.1137/0906035", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65U05 (62E15 65R10)", MRnumber = "87e:65089", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "covariance; Laplace transforms; Laplace's method; linear hypotheses; noncentral F-distribution; numerical contour integration; numerical methods; power function; secant method; variance", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906036", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M50", MRnumber = "86j:65127", MRreviewer = "Ji{\v{r}}{\'i} H{\v{r}}eb{\'i}{\v{c}}ek", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "ADI method; computational mesh; differential equations; interpolation; interpolation procedure; one-dimensional singularities; singular features; two space dimensions; two-dimensional mesh refinement method", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906037", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65R20 (45D05 45L10)", MRnumber = "86j:65180", MRreviewer = "John M. Bownds", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906038", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76-08 (76D99)", MRnumber = "87a:76015", MRreviewer = "Bruce A. Finlayson", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906039", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62H25", MRnumber = "86j:62137", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "convergence properties; factor analysis; least squares approximations; minres method; off-diagonal residuals", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906040", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62J05", MRnumber = "791 186", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906041", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76S05 (76-08)", MRnumber = "86e:76057", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906042", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65K10 (49D15)", MRnumber = "86i:65035", MRreviewer = "A. G. Shannon", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Hessian matrix; iterative methods; large-scale unconstrained minimization problems; numerical tests; optimisation; outer nonlinear algorithm; preconditioning; scaling strategies; truncated-Newton methods", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906043", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65G10)", MRnumber = "86k:65108", MRreviewer = "G. Maess", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906044", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65B05 (65F15)", MRnumber = "86g:65013", MRreviewer = "Thomas A. Atchison", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906045", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N99 (92A09)", MRnumber = "86j:65171", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "asymptotic study; concentration; continuation technique; coupled diffusion; enzyme kinetics; enzyme membrane; numerical methods; numerical study; optimal control; proteins; reaction equations; substrate; temperature", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906046", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65K10 (93E10)", MRnumber = "86h:65093", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906047", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65-04 65V05)", MRnumber = "86g:65129", MRreviewer = "L. Berg", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Adams formulae; automatic tests; backward differentiation formulae; codes; differential equations; nonstiff ODEs; ordinary differential equations; partitioning; single code; stiff ODEs", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906048", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65N20)", MRnumber = "86h:65205", MRreviewer = "S. F. McCormick", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithm parameters; computational complexity; computer networks; elliptic difference equations; multigrid algorithms; parallel networks; parallel processing; special purpose computing networks; systolic arrays", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906049", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N50 (65D05)", MRnumber = "86g:65224", MRreviewer = "Ian Gladwell", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational complexity; computational procedure; interpolation; normal derivatives; O-O type; three-dimensional mesh generation; transfinite interpolation", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906050", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20", MRnumber = "86h:65162", MRreviewer = "Lubor Malina", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906051", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (49D07 65N20)", MRnumber = "86h:65046", MRreviewer = "Beny Neta", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "assembly process; boundary-value problems; code; conjugate gradient algorithm; element preconditioning; elliptic boundary value problems; finite element analysis; large symmetric systems; splitting techniques", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906052", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M20", MRnumber = "791 198", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "extrapolation; first order splitting method; global Richardson extrapolation; multi-space dimensional parabolic partial differential equations; numerical solution; partial differential equations", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906053", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62N05 (68M15)", MRnumber = "86j:62224", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Bayes methods; Bayesian statistics; Jelinski-Moranda model; shock models; software reliability; software reliability models; stochastic inequalities; unification", onlinedate = "July 1985", 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", DOI = "https://doi.org/10.1137/0906054", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (65N20)", MRnumber = "87c:65035b", MRreviewer = "Ian Gladwell", bibdate = "Mon Mar 31 09:59:33 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "July 1985", } @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", DOI = "https://doi.org/10.1137/0906055", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (49D07 65H10 76D05)", MRnumber = "86j:65156", MRreviewer = "I. Norman Katz", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906056", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "30C30 (30C20 30C60 65N45)", MRnumber = "86k:30007", MRreviewer = "Charles Saltzer", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "coupled Laplace equations; field calculations; finite difference method; nearly rectangular domain; numerical conformal mapping; partial differential equations; rectangular mapping; towel-shaped region", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906057", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "86A20 (65P05 78A25)", MRnumber = "86i:86006", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906058", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (65W05)", MRnumber = "86j:65047", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906059", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (65W05)", MRnumber = "86h:65048", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906060", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65F50 65N30 65W05)", MRnumber = "87g:65042", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906061", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "80A20", MRnumber = "86j:80008", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "alloys; binary alloy solidification process; dendrites; dendritic growth; mushy zone; numerical methods; numerical simulation; solidification", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906062", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M10", MRnumber = "86h:65138", MRreviewer = "J. T. Oden", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "convergence of numerical methods; explicit midpoint discretisations; leapfrog discretisations; numerical nonlinear instability; partial differential equations; qualitative behaviour; unbounded solutions", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906063", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65-04)", MRnumber = "86j:65086", MRreviewer = "David R. Hill", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "differential equations; DSTIFF; least squares approximations; least squares multistep formulae; software packages; stiff ordinary differential equations; subroutines", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906064", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65J15", MRnumber = "86j:65068", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "accelerated convergence; convergence of numerical methods; functional equations; nearly singular roots; Newton's method; nonlinear equations; nonlinear functional equations", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906065", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D05 (65D07)", MRnumber = "86m:65012", MRreviewer = "Yury Girshovich", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "C/sup 1/ piecewise rational cubic function; error analysis; interpolation; monotonic rational quadratic interpolant; piecewise rational interpolation; rational cubic form; shape preserving interpolation", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906066", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "60C05 (60-04 62E15)", MRnumber = "86m:60031", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "asymptotic logarithmic form; coin tossing; expected value; independent identically distributed geometrics; Kinney's waiting-time conjecture; maximum; overwhelming numerical evidence; probability; statistics", onlinedate = "October 1985", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Moret:1985:MST, author = "Bernard M. E. Moret and Henry 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", DOI = "https://doi.org/10.1137/0906067", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{McDonald:1985:CEDa, author = "John Alan McDonald and Jan 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", DOI = "https://doi.org/10.1137/0906068", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", treatment = "G General Review; P Practical", } @Article{McDonald:1985:CEDb, author = "John Alan McDonald and Jan 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", DOI = "https://doi.org/10.1137/0906069", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906070", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62H20", MRnumber = "801 186", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906071", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65K10 (49D37 90C15)", MRnumber = "86m:65074", MRreviewer = "M. M. Flood", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", 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", DOI = "https://doi.org/10.1137/0906072", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65N20)", MRnumber = "86h:65209", bibdate = "Mon Mar 31 09:59:35 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1985", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{Shore:1986:SGA, author = "Haim 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", DOI = "https://doi.org/10.1137/0907001", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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 = "https://doi.org/10.1137/0907002", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C10", MRnumber = "87g:65010a", MRreviewer = "A. S. Rasulov", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907003", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62L10", MRnumber = "819 456", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907004", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62-04", MRnumber = "819 457", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907005", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62J05 (62F35 65F20 65U05)", MRnumber = "87h:62116", MRreviewer = "Wolfgang Wetterling", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algorithm theory; constructive procedures; continuation parameter; finite algorithms; Huber's M-estimator; parameter estimation; scaling factor; tuning constant", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907006", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62J05 (62F35 65F20)", MRnumber = "87f:62130", MRreviewer = "Wolfgang Wetterling", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907007", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62G05 (62-07)", MRnumber = "819 460", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "domains of influence; function approximation; local analysis; most significant members; statistical analysis; subsample determination, significance hierarchy; surface approximation", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907008", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90C30 (62J07)", MRnumber = "87i:90265", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907009", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (94A12)", MRnumber = "87b:65042", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "bisection; eigenvalues and eigenfunctions; Levinson--Durbin algorithm; matrix algebra; minimum eigenvalue; Newton's method; smallest eigenvalue; symmetric positive definite Topelitz matrix", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907010", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (49D39 65K05 90C50)", MRnumber = "87h:65054", MRreviewer = "Uwe Zimmermann", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907011", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F35 (65F05)", MRnumber = "87b:65053", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational complexity; condition number; LINPACK routine; matrix algebra; positive definite tridiagonal linear system; SPTSL; tridiagonal matrix", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907012", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65F50)", MRnumber = "87d:65030", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational cost; convergence of numerical methods; Gaussian elimination; linear algebra; numerical instability bounds; numerical stability monitoring; sparse matrices; triangular decomposition", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907013", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30 (62H25)", MRnumber = "87g:65061", MRreviewer = "John Todd", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907014", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30 (15A22)", MRnumber = "87b:65050", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", treatment = "T Theoretical or Mathematical", } @Article{Byers:1986:HA, author = "Ralph Byers", title = "A {Hamiltonian $ Q R $} Algorithm", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "1", pages = "212--229", month = jan, year = "1986", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0907015", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F25", MRnumber = "87e:65025", MRreviewer = "R. P. Tewarson", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907016", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76E15 (76-08)", MRnumber = "87c:76065", MRreviewer = "Ky{\^u}ya Masuda", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907017", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M99 (76-08 76T05)", MRnumber = "87c:65127", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907018", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (82A75)", MRnumber = "87a:65181", MRreviewer = "A. O. Garder", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907019", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05 (73-08)", MRnumber = "87b:65170", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "difference equations; direct methods; elastic bodies; elasticity; equilibrium equations; finite difference scheme; first order system; iterative techniques; partial differential equations; PDEs", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907020", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M10 (80A25)", MRnumber = "87c:65113", MRreviewer = "M. M. Sussman", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907021", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10", MRnumber = "87j:65093", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907022", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65D05)", MRnumber = "87h:65123", MRreviewer = "M. M. Chawla", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Adams codes; differential equations; globally continuous approximations; initial value problems; interpolation; mathematical continuity; ODE methods; past values; polynomial interpolants; smooth interpolation", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907023", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65Fxx)", MRnumber = "87c:65170", bibdate = "Mon Mar 31 09:59:37 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Cholesky decomposition; Cray X-MP-4; dense linear algebra algorithms; L U decomposition; linear algebra; multiprogramming; small-grain multitasking", onlinedate = "January 1986", 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", DOI = "https://doi.org/10.1137/0907024", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "58C27 (65J15 80A25)", MRnumber = "87h:58023", MRreviewer = "J{\"u}rgen Scheurle", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "direct method; higher order folds computing; nonlinear equations; parameter-dependent nonlinear problems; thermal ignition problems", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907025", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H10 (47H17)", MRnumber = "87j:65063", MRreviewer = "A. M. Galperin", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Krawczyk-Moore algorithm; MAP; nonlinear algebraic equations; nonlinear equations", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907026", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "11Y65 (11J70)", MRnumber = "87h:11131", MRreviewer = "J. D. Dixon", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computer program; continued fraction expansion; decimal numbers; irreducible rational fractions; number theory; single-valued way", onlinedate = "April 1986", 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 {IVPs} for {ODEs}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "378--417", month = apr, year = "1986", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0907027", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65V05)", MRnumber = "87e:65040", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907028", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10", MRnumber = "87e:65049", MRreviewer = "Siegfried Filippi", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "adaptive shooting method; boundary-value problems; differential equations; numerical solution; perturbation theory; physical theory; semiconducting devices; singularly perturbed boundary value problems", onlinedate = "April 1986", treatment = "T Theoretical or Mathematical", } @Article{Schreiber:1986:SES, author = "Robert 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", DOI = "https://doi.org/10.1137/0907029", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "cellular arrays; eigenvalue; eigenvalues and eigenfunctions; parallel processing; singular value problems; undersized systolic array", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907030", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65F30)", MRnumber = "87d:65151", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "cellular arrays; m* n matrix; n* n matrix; O( n/sup 2/) processors; parallel method; parallel processing; QR decomposition computing; rotation method", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907031", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50", MRnumber = "87d:65050", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Householder transformations; least squares approximations; numerical computation; orthogonal reduction; sparse matrices; static data structure; upper triangular form", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907032", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62J05 (62F25 65U05)", MRnumber = "87h:62123", MRreviewer = "Kenneth N. Berk", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "confidence intervals; distributed error vector; ill-posed problems; inequality-constrained least squares problems; integral equations; least squares approximations; multivariate statistics", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907033", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (65N20 65W05)", MRnumber = "87i:65039", MRreviewer = "W. Niethammer", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907034", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F35", MRnumber = "87d:65048", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "linear system; matrix algebra; rank-p modification; Sherman--Morrison--Woodbury formula; stability", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907035", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "68U05 (52-04 65-04 68Q25)", MRnumber = "87e:68107", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational geometry; convex polygons; Delaunay triangular meshes; difference equations; finite element triangulation; time complexity", onlinedate = "April 1986", treatment = "T Theoretical or Mathematical", } @Article{Bank:1986:PMC, author = "Randolph E. Bank and Tony F. Chan", title = "{PLTMGC}: a Multigrid 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", DOI = "https://doi.org/10.1137/0907036", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30", MRnumber = "87d:65125", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907037", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76-08 (76D05)", MRnumber = "87d:76010", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907038", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "73D25", MRnumber = "87d:73016", MRreviewer = "D. R. Bland", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "elastic waves; elastodynamic scattering problems; exterior domains; limiting amplitude principle; numerical methods; plane wave scattering; scattering; two-dimensional time harmonic equations", onlinedate = "April 1986", treatment = "T Theoretical or Mathematical", } @Article{Lattanzio:1986:CP, author = "J. C. Lattanzio and J. J. Monaghan and H. Pongracic and M. P. Schwarz", title = "Controlling Penetration", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "2", pages = "591--598", month = apr, year = "1986", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0907039", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "artificial viscosity; gas clouds; high Mach number collision; hypersonic flow; Mach number; particle methods; particle streaming; penetration controlling; shock waves", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907040", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N35 (35K20)", MRnumber = "87i:65195", MRreviewer = "A. Quarteroni", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907041", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "41A15 (33A45 65D07)", MRnumber = "87h:41019", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximation theory; arbitrarily scattered points; bicubic splines; discrete function; latitude-longitude grid; spectral analysis; spectral approximation; sphere; spherical harmonic coefficients; splines (mathematics)", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907042", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65T05 (65R10 94A11)", MRnumber = "833 926", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computer programs; fast Fourier transforms; fast Hartley transforms; floating point operations; Fortran version", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907043", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10", MRnumber = "87h:65029", MRreviewer = "J. G. Herriot", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907044", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C05 (65K10 90C30)", MRnumber = "87h:65017", MRreviewer = "A. S. Rasulov", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "function evaluations; global optimization; Monte Carlo methods; multivariable functions; optimisation; quasi-Monte Carlo methods; Quasi-random search methods; search localisation", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907045", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62M10", MRnumber = "833 929", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational geometry; computational methods; data analysis; graphic methods; interactive computer graphics workstations; Orion I workstation; Orion project; periodic variation; series (mathematics)", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907046", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62H10", MRnumber = "88b:62100", MRreviewer = "Yasuko Chikuse", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computation theory; computational algorithms; distribution function; normal random variables; polynomials; positive definite quadratic forms; test statistics", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907047", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D07 (41A15)", MRnumber = "87d:65020", bibdate = "Mon Mar 31 09:59:39 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "active elements; circuit CAD; circuit simulation; Cray-1A; minima; modeling; quadratic tensor product splines; semiconductor device models; simulation; splines (mathematics); variation diminishing splines", onlinedate = "April 1986", 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", DOI = "https://doi.org/10.1137/0907048", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F35 (65F05 65G05)", MRnumber = "87i:65068", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907049", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (58F99)", MRnumber = "87j:65079", MRreviewer = "Eugene Allgower", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", treatment = "T Theoretical or Mathematical", } @Article{Gear:1986:MSI, author = "C. W. Gear", title = "Maintaining solution invariants in the numerical solution of {ODEs}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", number = "3", pages = "734--743", month = jul, year = "1986", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0907050", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M99", MRnumber = "87h:65171", MRreviewer = "I. Norman Katz", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "chemical kinetic problems; differential equations; equality invariants; inequality invariants; multistep methods; numerical consistency; numerical methods; numerical solution; ODEs; one-step methods; solution invariants", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907051", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M25 (76-08)", MRnumber = "88a:65107", MRreviewer = "B. M. Herbst", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907052", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90C30", MRnumber = "87h:90190", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "least squares approximations; nonlinear constraints; nonlinear programming; nonlinear programming algorithms; nonlinear-least-squares structure; test problem generation; testing", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907053", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65U05)", MRnumber = "87g:65063", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907054", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (65F35 65F50)", MRnumber = "87g:65056", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "eigenpairs; eigenvalues; eigenvalues and eigenfunctions; generalised Davidson's method; matrix algebra; preconditioning techniques; sparse symmetric matrices", onlinedate = "July 1986", treatment = "T Theoretical or Mathematical", } @Article{Hanson:1986:LLS, author = "Richard 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", DOI = "https://doi.org/10.1137/0907055", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algebraic equations; least squares approximations; linear algebra; linear equality constraints; linear inequality constraints; linear least squares systems; penalty function; simple bounds", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907056", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15", MRnumber = "87h:65071", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "defective matrix; eigensystem; eigenvalues and eigenfunctions; generalised Frank matrix; ill-conditioned eigenvalues; matrix algebra; perturbation; perturbation techniques", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907057", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F10)", MRnumber = "87g:65062", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907058", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F10)", MRnumber = "87g:65064", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907059", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76-08 (65M20)", MRnumber = "87h:76008", MRreviewer = "P. C. Jain", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "flow simulation; second-order-accurate pressure-correction scheme; time-dependent flow; viscous incompressible flow", onlinedate = "July 1986", treatment = "T Theoretical or Mathematical", } @Article{Elden:1986:ASA, author = "Lars Eld{\'e}n and Robert 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", DOI = "https://doi.org/10.1137/0907060", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", treatment = "T Theoretical or Mathematical", } @Article{Berger:1986:DSA, author = "Marsha 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", DOI = "https://doi.org/10.1137/0907061", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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)", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907062", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (65N35)", MRnumber = "87g:65135", MRreviewer = "H. Kersten", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907063", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (65L10)", MRnumber = "87j:65149a", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "boundary-value problems; free parameters; initial boundary value problems; initial value problems; linear algebra; linear equations; numerical methods; three point numerical schemes", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907064", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M10 (65N10 65V05)", MRnumber = "848 572", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907065", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M05 (35K55)", MRnumber = "88b:65099", MRreviewer = "Nima Geffen", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", treatment = "T Theoretical or Mathematical", } @Article{Ehrlich:1986:NSA, author = "Louis 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", DOI = "https://doi.org/10.1137/0907066", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "block SOR technique; Dirichlet problems; eigenvalue; eigenvalues and eigenfunctions; Laplace's equation; matrix algebra; numerical methods; numerical Schwarz alternating procedure; power method", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907067", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65L10 65M05 65M10)", MRnumber = "87g:65086", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "convergence of numerical methods; difference equations; error analysis; local truncation errors; modified equations; roundoff errors; stability", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907068", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N35 (76-08)", MRnumber = "848 575", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907069", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62-04", MRnumber = "848 576", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907070", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D30", MRnumber = "848 577", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "function approximation; generalised correlated sampling; integrand approximation; integration; numerical integration; numerical methods; optimal selective sampling; statistical estimation; statistics", onlinedate = "July 1986", 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", DOI = "https://doi.org/10.1137/0907071", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65E05 (30E10 65D20)", MRnumber = "87h:65050", MRreviewer = "A. Bultheel", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "analytic functions; basis selection; bounded simply connected complement; complex plane; computational aspects; function approximation; interpolation; numerical methods; rational approximation; space selection", onlinedate = "July 1986", 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 = "https://doi.org/10.1137/0907072", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C10", MRnumber = "87g:65010b", MRreviewer = "A. S. Rasulov", bibdate = "Mon Mar 31 09:59:42 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "July 1986", } @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", DOI = "https://doi.org/10.1137/0907073", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76L05 (80A32)", MRnumber = "87i:76037", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907074", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65N25)", MRnumber = "87j:65140", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907075", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (65K10 65M60)", MRnumber = "87k:65137", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "adaptive grid refining technique; discrete optimisation; energy functional minimisation; finite element analysis; finite element approximations; functional analysis; optimisation", onlinedate = "October 1986", treatment = "T Theoretical or Mathematical", } @Article{Luk:1986:CCD, author = "Franklin 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", DOI = "https://doi.org/10.1137/0907076", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational complexity; CS-decomposition; Kaplan-Van Loan method; matrix algebra; orthonormal matrix; parallel algorithm; parallel algorithms; space complexity; systolic arrays; time complexity", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907077", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (15A23)", MRnumber = "87i:65055", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907078", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30 (15A23)", MRnumber = "87h:65075", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Jacobi-like method; Kogbetliantz method; matrix algebra; plane rotations; product of two matrices; singular value decomposition; triangular method", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907079", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F25 (15A21 65F30 65F35)", MRnumber = "87m:65064", MRreviewer = "Sudhangshu B. Karmakar", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", treatment = "T Theoretical or Mathematical", } @Article{Zlatev:1986:CNE, author = "Zahari Zlatev and Jerzy Wa{\'s}niewski 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", DOI = "https://doi.org/10.1137/0907080", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F35 (15A12 65F50)", MRnumber = "857 789", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "condition number estimators; convergence of numerical methods; drop-tolerance; mathematics computing; matrix algebra; pivotal strategies; reliability; software packages; sparse matrix software; stability; Y12M", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907081", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (15A23)", MRnumber = "87k:65054", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907082", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50", MRnumber = "857 791", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907083", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (34A50 34B05)", MRnumber = "87m:65111", MRreviewer = "Abbas I. Abdel-Karim", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907084", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L20", MRnumber = "88c:65067", MRreviewer = "W. H. Enright", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907085", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65J15 (58C15 58E07)", MRnumber = "89a:65095", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907086", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (65N35)", MRnumber = "88f:65198", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907087", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "86A15 (49A22)", MRnumber = "87i:86010", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "band-limited reflection seismograms; cost functional; data interpretation; deconvolution; geophysical techniques; linear inversion; optimisation; optimization; reflection seismology; robust profile reconstruction; seismology; signal processing", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907088", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65G05 (35P25)", MRnumber = "857 797", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "error analysis; error propagation; interference (signal); inverse scattering; layer-peeling inversion methods; noisy data; reflection coefficient; signal processing", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907089", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M99 (35L65 76R05)", MRnumber = "857 798", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907090", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C05", MRnumber = "857 799", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907091", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C20 (65N99 65U05)", MRnumber = "88a:65013", MRreviewer = "Werner R{\"o}misch", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "October 1986", 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", DOI = "https://doi.org/10.1137/0907092", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65G05", MRnumber = "87j:65048", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "cancellation errors; convergence; convergence of numerical methods; error analysis; function approximation; minimisation; probabilistic arguments; probability; quasi-Newton method", onlinedate = "October 1986", treatment = "T Theoretical or Mathematical", } @Article{Gupta:1986:MPQ, author = "Pushpa Lata Gupta and Riley T. James and Thomas 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", DOI = "https://doi.org/10.1137/0907093", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:44 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "divergence; iterative algorithm; iterative methods; misclassification probabilities; Monte Carlo methods; Monte Carlo studies; p-variate normal populations; quadratic discrimination; separation; statistical analysis", onlinedate = "October 1986", treatment = "T Theoretical or Mathematical", } @Article{Gear:1987:E, author = "C. W. Gear", title = "Editorial", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "vi--vi", month = "????", year = "1987", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0908001", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:46 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "January 1987", } @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", DOI = "https://doi.org/10.1137/0908002", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M05 (76-08)", MRnumber = "87m:65125", bibdate = "Mon Mar 31 09:59:46 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", ZMnumber = "689.65058", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", treatment = "T Theoretical or Mathematical", } @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", DOI = "https://doi.org/10.1137/0908003", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "88d:30010", MRreviewer = "G. Opfer", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", 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", DOI = "https://doi.org/10.1137/0908004", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10 (62F15 62G99)", MRnumber = "88h:65033", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", 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", DOI = "https://doi.org/10.1137/0908005", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65U05 (62F10 62J02)", MRnumber = "873 923", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", treatment = "T Theoretical or Mathematical", } @Article{Bunch:1987:MLE, author = "David 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", DOI = "https://doi.org/10.1137/0908006", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", 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", DOI = "https://doi.org/10.1137/0908007", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62M10", MRnumber = "873 924", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", 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", DOI = "https://doi.org/10.1137/0908008", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C05", MRnumber = "88a:65012", bibdate = "Mon Mar 31 09:59:46 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", ZMnumber = "663.65002", acknowledgement = ack-nhfb, classification = "C1140G (Monte Carlo methods)", corpsource = "Technion-Israel Inst. of Technol., Haifa, Israel", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "arbitrary functions of scalar arguments; exact minimum; Handscomb antithetic variates theorem; Monte Carlo methods; Monte Carlo simulation; optimal cumulative distribution function; response difference", onlinedate = "January 1987", treatment = "T Theoretical or Mathematical", } @Article{Gear:1987:NE, author = "C. W. Gear and R. G. Voigt", title = "A Note from the {Editors}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "1", pages = "S1--S1", month = "????", year = "1987", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0908intro1", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:46 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "January 1987", } @Article{Bischof:1987:RPH, author = "Christian Bischof and Charles {Van Loan}", title = "The {$ W Y $} 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", ISSN-L = "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)", ZMnumber = "628.65033", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", } @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", DOI = "https://doi.org/10.1137/0908010", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (65W05)", MRnumber = "88e:65133a", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", treatment = "T Theoretical or Mathematical", } @Article{Briggs:1987:MFM, author = "William L. Briggs and Leslie B. Hart and Roland A. Sweet and Abbie 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", DOI = "https://doi.org/10.1137/0908011", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", treatment = "T Theoretical or Mathematical; X Experimental", } @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", DOI = "https://doi.org/10.1137/0908012", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65W05)", MRnumber = "88f:65110", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", treatment = "T Theoretical or Mathematical", } @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", DOI = "https://doi.org/10.1137/0908013", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "70B15 (70-04)", MRnumber = "87m:70005", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", 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", DOI = "https://doi.org/10.1137/0908014", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C05 (35J05 65W05)", MRnumber = "873 952", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", treatment = "T Theoretical or Mathematical", } @Article{Grosch:1987:ANS, author = "Chester 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", DOI = "https://doi.org/10.1137/0908015", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:46 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", ZMnumber = "629.76028", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", treatment = "P Practical", } @Article{Saltz:1987:REC, author = "Joel H. Saltz and Vijay K. Naik and David 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", DOI = "https://doi.org/10.1137/0908016", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", treatment = "T Theoretical or Mathematical; X Experimental", } @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", DOI = "https://doi.org/10.1137/0908017", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30", MRnumber = "873 954", bibdate = "Mon Mar 31 09:59:46 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1987", treatment = "T Theoretical or Mathematical", } @Article{Bischof:1987:WRP, 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 = "????", year = "1987", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0908009", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:46 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "January 1987", } @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 = "https://doi.org/10.1137/0908024", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65H10 (90C30)", MRnumber = "88b:65065", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", 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", DOI = "https://doi.org/10.1137/0908025", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N50 (65N20)", MRnumber = "88b:65144", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", 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", DOI = "https://doi.org/10.1137/0908026", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M05 (76Q05)", MRnumber = "88c:65074", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", 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", DOI = "https://doi.org/10.1137/0908027", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "86A05 (65C20 93E11)", MRnumber = "88d:86002", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", 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", DOI = "https://doi.org/10.1137/0908028", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65U05 (62C20 62C25)", MRnumber = "88b:65158", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", 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", DOI = "https://doi.org/10.1137/0908029", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C10 (65C05 65D07 65L05 65U05)", MRnumber = "88c:65006", MRreviewer = "Gheorghe Barbu", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", 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", DOI = "https://doi.org/10.1137/0908018", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (65W05)", MRnumber = "88f:65054", MRreviewer = "Michel Cosnard", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", 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", ISSN-L = "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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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{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", DOI = "https://doi.org/10.1137/0908019", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (65W05)", MRnumber = "879 401", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", sponsororg = "SIAM; NSF; Air Force Office Sci. Res", treatment = "T Theoretical or Mathematical", } @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", DOI = "https://doi.org/10.1137/0908020", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65F10 65W05)", MRnumber = "88g:65101", MRreviewer = "Michel Cosnard", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", 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", DOI = "https://doi.org/10.1137/0908021", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M05 (65W05)", MRnumber = "88b:65101", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", 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", DOI = "https://doi.org/10.1137/0908022", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:48 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", ZMnumber = "654.68012", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", sponsororg = "SIAM; NSF; Air Force Office Sci. Res", treatment = "T Theoretical or Mathematical; X Experimental", } @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", DOI = "https://doi.org/10.1137/0908023", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65F05 65F10 65M99 65N30)", MRnumber = "879 404", bibdate = "Mon Mar 31 09:59:48 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1987", 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", DOI = "https://doi.org/10.1137/0908030", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65F05)", MRnumber = "89b:65254", MRreviewer = "H. R. Schwarz", bibdate = "Mon Mar 31 09:59:51 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", ZMnumber = "644.65073", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximate cyclic reduction; approximation theory; asymptotic operation count; elliptic partial differential equations; partial differential equations; Poisson equation; polynomials; rational matrix polynomials", onlinedate = "May 1987", treatment = "T Theoretical or Mathematical", } @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", DOI = "https://doi.org/10.1137/0908031", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65F30 65G05)", MRnumber = "88d:65049", MRreviewer = "Henry Wolkowicz", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Cholesky factorization; computational complexity; downdating; error analysis; numerical properties; parallel computers; positive definite matrix; vector computers", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908032", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L15 (34A30 34K05 93B25 93B40)", MRnumber = "88d:65120", MRreviewer = "M. M. Konstantinov", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "bounded region; characteristic equation; combinatorial algorithm; delay equations; differential equations; eigenvalues; eigenvalues and eigenfunctions; finite-dimensional approximation; functional differential equations; functional equations; polynomials", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908033", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (05C50)", MRnumber = "89f:65050", MRreviewer = "Iain S. Duff", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "data structure; data structures; large sparse least squares problems; least squares approximations; local acceptability; matrix factor; row-ordering; sequential processing; symbolic Givens reduction", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908034", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30", MRnumber = "88d:65161", MRreviewer = "Lydia Kronsj{\"o}", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximation theory; boundary-value problems; computed approximation; derivatives approximation; difference equations; singularly perturbed boundary value problems", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908035", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65P05 (76Q05)", MRnumber = "88i:65151", MRreviewer = "Charles I. Goldstein", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908036", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M50", MRnumber = "88f:65161", MRreviewer = "B. M. Herbst", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "2-D scalar problems; hyperbolic partial differential equations; local uniform mesh refinement; moving grids; numerical dispersion; partial differential equations", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908037", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76-08", MRnumber = "88b:76008", MRreviewer = "W. Langlois", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908038", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65D05)", MRnumber = "88d:65105", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "May 1987", treatment = "T Theoretical or Mathematical", } @Article{Chu:1987:PSO, author = "Moody T. Chu and Hans Hamilton", title = "Parallel Solution of {ODE}'s by Multiblock Methods", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "3", pages = "342--353", month = may, year = "1987", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0908039", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65W05)", MRnumber = "88e:65083", MRreviewer = "H. Brunner", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Denelcor HEP machine; differential equations; multi-block methods; ordinary differential equations; parallel solution; predictor-corrector type combination; stability problem", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908040", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (15A06 65N20 65W05 68Q25)", MRnumber = "88j:65063", MRreviewer = "Stephen W. Brady", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908041", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D07 (65D10)", MRnumber = "88j:65029", MRreviewer = "R. K. Beatson", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "automatic selection; convexity; derivatives; function values; interpolation; interpolatory tension splines; iterative procedure; monotonicity; piecewise exponential functions; splines (mathematics); tension factors", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908042", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10", MRnumber = "88f:65031", MRreviewer = "Girdhar G. Agarwal", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "large scale nonlinear least squares calculations; large scale optimization; least squares approximations; nonlinear model fitting problem", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908043", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "35R30 (35R25 65M99)", MRnumber = "88k:35215", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "differential equations; generalized pulse-spectrum technique; inverse problems; iterative methods; numerical simulations; one-dimensional diffusion equations; time-dependent coefficients", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908044", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62F10 (62J99 65U05)", MRnumber = "88d:62053", MRreviewer = "Wilfried Grossmann", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational process; exponential family; generalized linear models; least square problems; least squares approximations; maximum likelihood; nonlinear models estimation; stability", onlinedate = "May 1987", 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", DOI = "https://doi.org/10.1137/0908045", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (65W05)", MRnumber = "88e:65133b", bibdate = "Mon Mar 31 09:59:51 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", onlinedate = "May 1987", } @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", DOI = "https://doi.org/10.1137/0908046", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (65F10)", MRnumber = "89f:65076", MRreviewer = "D. F. Mayers", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "digital simulation; dynamic iteration methods; initial value problems; iterative methods; linear systems; time discretization; VLSI; VLSI-simulation; waveform relaxation method", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908047", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (65L20 65V05)", MRnumber = "88f:65118", MRreviewer = "Abbas I. Abdel-Karim", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908048", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76Q05", MRnumber = "89a:76047", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "acoustic medium; acoustic wave propagation; acoustic wave velocity; computational scheme; optimisation; optimization; sound speed; surface impulse response", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908049", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76-08 (65N20 76S05)", MRnumber = "88c:76007", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908050", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M50 (65M60 65N30 65N50)", MRnumber = "88j:65202", MRreviewer = "B. M. Herbst", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1987", 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 {PDEs} on mesh-connected arrays", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "550--573", month = jul, year = "1987", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0908051", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65F10)", MRnumber = "89b:65251", MRreviewer = "L. W. Ehrlich", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908052", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F05 65N20)", MRnumber = "88h:65093", MRreviewer = "Lubor Malina", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational complexity; general sparse elimination; integer storage; LDU decomposition; nonzeros; permanent integer storage; sparsity", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908053", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65F50)", MRnumber = "88e:65031", MRreviewer = "Zahari Zlatev", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "adaptive general sparse out-of-core Cholesky factorization scheme; computational complexity; data structures; dense matrices; matrix data structure; sparse matrices", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908054", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65F50)", MRnumber = "88m:65049", MRreviewer = "Iain S. Duff", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computational complexity; orderings; stability; statistical analysis; structural parameters; unsymmetric sparse matrices", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908055", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "15A52 (65C10)", MRnumber = "88g:15017", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computation theory; Haar measure; Householder transformations; matrix algebra; Monte Carlo methods; normal random variables; random orthogonal matrices generation; singular value decomposition", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908056", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D10 (41A15 65D07)", MRnumber = "88g:65015", MRreviewer = "Frederick N. Fritsch", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "generalised cross validation; minimisation; minimization; multivariate smoothing spline functions; splines (mathematics)", onlinedate = "July 1987", treatment = "T Theoretical or Mathematical", } @Article{Briggs:1987:FSP, author = "William L. Briggs", title = "Further Symmetries of in-Place {FFTs}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "4", pages = "644--654", month = jul, year = "1987", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0908057", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65T05", MRnumber = "88i:65167", MRreviewer = "Harald E. Krogstad", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "even wave symmetries; fast Fourier transforms; in-place FFTs; odd wave symmetries; quarter wave symmetries; real sequences; symmetries", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908058", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65K05 (49D07)", MRnumber = "88f:65095", MRreviewer = "Bernard Lemaire", bibdate = "Mon Mar 31 09:59:53 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "continuation approach; convergence; descent properties; large-residual nonlinear least squares problems; least squares approximations; robust algorithm; trust region parameter", onlinedate = "July 1987", 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", DOI = "https://doi.org/10.1137/0908059", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65F10)", MRnumber = "88h:65190", MRreviewer = "Harry Yserentant", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "anisotropic coefficients; auxiliary intermediate grids; coding complexity; discontinuous coefficients; multigrid methods; numerical methods; three-dimensional diffusion equations", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908060", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (15A06 65W05)", MRnumber = "88h:65071", MRreviewer = "Michel Cosnard", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908061", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65F10 65W05)", MRnumber = "88h:65192", MRreviewer = "S. Galanis", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908062", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F20 (65F25 65W05)", MRnumber = "88m:65064", MRreviewer = "N. N. Abdelmalek", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908063", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F25", MRnumber = "88h:65088", MRreviewer = "Henry Wolkowicz", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "fast Toeplitz orthogonalization; inner products; inverse Q R factorization; matrix algebra", onlinedate = "September 1987", treatment = "T Theoretical or Mathematical", } @Article{Hari:1987:JMS, author = "Vjeran Hari and Krev{\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", DOI = "https://doi.org/10.1137/0908064", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15", MRnumber = "88k:65034", MRreviewer = "Gregory Ammar", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "convergence of numerical methods; convergence properties; Jacobi methods; matrix; matrix algebra; row-cyclic strategy; singular value decompositions; standard QR method", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908065", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N05 (65L05 65M05 65N20)", MRnumber = "88i:65119", MRreviewer = "Randall J. LeVeque", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908066", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L10 (58C30 65H10 65L60 90C30)", MRnumber = "88h:65150", MRreviewer = "Dragoslav Herceg", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908067", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "34A50 (34B05 34E20 65L10)", MRnumber = "90a:34030", MRreviewer = "P. R. Krishnamoorthy", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908068", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65R20", MRnumber = "89f:65138", MRreviewer = "William F. Moss", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908069", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D30 (65G10 65V05)", MRnumber = "88m:65037", MRreviewer = "Christopher T. H. Baker", bibdate = "Mon Mar 31 09:59:55 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", abstract = "Validated bounds for $ I f = \int_a^b f(x) \, d x $ 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908070", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C05 (65U05)", MRnumber = "88g:65005", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908071", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62G30 (62E15)", MRnumber = "88g:62102", bibdate = "Mon Mar 31 09:59:55 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "computer order statistic distributions; L-statistics; multivariate distributions; order statistics; probability; sequences of random variables", onlinedate = "September 1987", 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", DOI = "https://doi.org/10.1137/0908072", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05", MRnumber = "89a:65046", MRreviewer = "N. N. Abdelmalek", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908073", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (15A06 65F30)", MRnumber = "89e:65035", MRreviewer = "E. L. Yip", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908074", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20", MRnumber = "88i:65122", MRreviewer = "Dietrich Braess", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "composite overlapping meshes; convergence of numerical methods; convergence rates; elliptic partial differential equations; multigrid method; numerical solution; partial differential equations", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908075", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M50", MRnumber = "89g:65121", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908076", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "92A07 (45L10 65R20 65U05)", MRnumber = "88j:92012", MRreviewer = "Frank Natterer", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908077", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (34C40 58F08 65H10)", MRnumber = "89f:65079", MRreviewer = "G. H. Meyer", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908078", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "88k:65061", MRreviewer = "Matti M{\"a}kel{\"a}", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908079", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D25 (41A05)", MRnumber = "89a:65032", MRreviewer = "R. A. Lorentz", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908080", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M10", MRnumber = "88i:65114", MRreviewer = "Pierre-Louis Lions", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908081", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65R10 (42A38 65B05 65B20)", MRnumber = "88i:65155", MRreviewer = "J. Kofro{\v{n}}", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908082", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D05 (65D07)", MRnumber = "89f:65012", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "constrained interpolation; convex spline interpolation; interpolation; iterative methods; Newton type algorithm; nonlinear system of equations; splines (mathematics)", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908083", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65D05 (65D07)", MRnumber = "89a:65014", MRreviewer = "N. Papamichael", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "arbitrary degree; Bernstein polynomials; co-monotone interpolating splines; continuous piecewise linear functions; interpolation; knots; monotonicity; splines (mathematics); subinterval", onlinedate = "November 1987", 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 = "https://doi.org/10.1137/0908084", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C10 (11K06)", MRnumber = "89f:65009", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908085", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62J02 (65D10)", MRnumber = "89a:62150", MRreviewer = "Girdhar G. Agarwal", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", treatment = "T Theoretical or Mathematical", } @Article{Gallivan:1987:UBL, author = "Kyle Gallivan and William Jalby and Ulrike 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", DOI = "https://doi.org/10.1137/0908086", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "November 1987", 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", DOI = "https://doi.org/10.1137/0908087", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05 (65F50 68Q25)", MRnumber = "88h:65072", MRreviewer = "Zahari Zlatev", bibdate = "Mon Mar 31 09:59:57 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Cholesky factorization; CPU time; elapsed time; elimination tree; equivalent reordering; matrix algebra; paging environment; sparse factorization; sparse matrix", onlinedate = "November 1987", treatment = "T Theoretical or Mathematical", } @Article{Saylor:1988:CRC, author = "Paul E. Saylor and Dennis C. Smolarski and S. J.", 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", DOI = "https://doi.org/10.1137/0909001", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "30C15 (33A65 65E05 65H05)", MRnumber = "89c:30014", MRreviewer = "Peter A. McCoy", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909002", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "88j:65157", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximate solution; Chebyshev approximation; Chebyshev polynomials; cosine method; error analysis; polynomials; rational approximation; second-order homogeneous evolution equations", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909003", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "41A15", MRnumber = "89d:41028", MRreviewer = "R. K. Beatson", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "asymptotic properties; complete smoothing splines; eigenvalues; eigenvalues and eigenfunctions; generalized cross validation; mean zero; numerical computation; polynomials; random errors; smoothing parameter", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909004", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05 (34A34 34A50 34C20)", MRnumber = "88j:65149", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "differential equations; differential-algebraic equation index transformations; equivalence; higher index problems; implicit differential equation", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909005", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C20", MRnumber = "88m:65013", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "convergence; convergence of numerical methods; general N-dimensional case; Gummel method; semiconductor device models; steady state semiconductor equations", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909006", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76L05 (58C27 65H10 73D05 76-08 76S05)", MRnumber = "89g:76032", MRreviewer = "P. C. Jain", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909007", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "80A25 (80-08)", MRnumber = "89c:80017", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909008", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F25)", MRnumber = "89g:65057", MRreviewer = "David R. Kincaid", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909009", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (65W05)", MRnumber = "88j:65069", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909010", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F10 (65N20)", MRnumber = "88m:65056", MRreviewer = "S. Galanis", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "differential equations; generalised minimal residual method; GMRES method implementation; Gram--Schmidt process; Householder transformations; iterative methods; large nonsymmetric linear systems", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909011", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62F35 (62G05)", MRnumber = "89e:62042", MRreviewer = "V. J. Yohai", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "convergence of numerical methods; Huber M-estimators; iterative methods; multiple regression; scale step", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909012", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "92A09 (65C05 65P05)", MRnumber = "88m:92023", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909013", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62-04 (65U05 65V05)", MRnumber = "922 872", bibdate = "Mon Mar 31 09:59:59 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "DINDE; mathematics computing; programming environments; software environments; statistical analysis; statistics", onlinedate = "January 1988", 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", DOI = "https://doi.org/10.1137/0909014", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65L05", MRnumber = "88m:65109", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "algebra; consistent initialization; graph theory; graph-theoretical algorithm; initial value problems; initial values; mixed differential-algebraic systems; nonlinear DAE system; nonlinear differential equations", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909015", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "76H05 (76-08 76L05)", MRnumber = "89h:76025", MRreviewer = "H. K. Cheng", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909016", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M20 (76-08)", MRnumber = "88m:65140", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909017", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65P05", MRnumber = "88m:65194", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909018", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65V05 (65W05)", MRnumber = "88m:65213", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "finite element analysis; frontal solvers; matrix algebra; parallel algorithms; parallel processing; sequential processing; vector processing; window-oriented organization", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909019", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65V05 (65F05)", MRnumber = "88m:65212", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "hardware gather/scatter; linear algebra; parallel algorithms; parallel architectures; performance evaluation; sparse Gaussian elimination algorithms; vector supercomputers", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909020", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65F10 65W05 68Q25)", MRnumber = "88m:65167", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909021", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "88m:65219", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909022", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "90C33 (65K05)", MRnumber = "89d:90226", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909023", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62H12 (62F35)", MRnumber = "89b:62111", MRreviewer = "Margaret P. Gessaman", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "bounded influence regression; computation; existence; fixed point algorithm; iteration; iterative methods; M-estimates; multivariate location and scatter; sensitivity bounds; statistical analysis; uniqueness", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909024", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62G05 (65U05)", MRnumber = "89g:62062", MRreviewer = "Ulrich Stadtm{\"u}ller", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1988", treatment = "T Theoretical or Mathematical; X Experimental", } @Article{McDonald:1988:CED, author = "John Alan McDonald and Jan 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", DOI = "https://doi.org/10.1137/0909025", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "data analysis; high level languages; integrated programming environments; LISP; mathematics computing; programming environments; Smalltalk; statistical analysis; statistical data analysis", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909026", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30 (15A18)", MRnumber = "88m:65071", bibdate = "Mon Mar 31 10:00:01 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "March 1988", 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", DOI = "https://doi.org/10.1137/0909027", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "86A15 (35R30 65P05 73D50 86-08)", MRnumber = "89d:86004", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909028", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62H10 (62E15 62H12 65U05)", MRnumber = "89f:62048", MRreviewer = "E. A. Enneking", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "approximation theory; confidence sets; exceedance probabilities; normal probabilities evaluation; probability; standardized multivariate normal random vector; symmetric regions", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909029", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F50 (65F25)", MRnumber = "89c:65060", MRreviewer = "Zahari Zlatev", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909030", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M05", MRnumber = "89c:65095", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909031", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "34B05 (34A50 65F10)", MRnumber = "89m:34025", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909032", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "89b:65333", MRreviewer = "Bruno Codenotti", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "distributed-memory multiprocessor; message traffic; multiprocessing systems; parallel algorithm; parallel algorithms; parallel triangular solver; ring embedding; triangular systems of linear equations", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909033", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65-04", MRnumber = "937 489", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "expert systems; mathematical library; mathematics computing; NAXPERT; numerical software; prototype expert system", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909034", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30 (65U05 93E11 93E25)", MRnumber = "89b:65107", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "complexity reduction; condensed forms; discrete Riccati equation; filtering and prediction theory; initial state transformation; Kalman filters; numerical implementations; time-invariant Kalman filtering", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909035", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62N05 (62G05 62P10)", MRnumber = "89e:62132", MRreviewer = "Jack Cuzick", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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)", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909036", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "58F08 (39A10 58F12 65Q05)", MRnumber = "90c:58087", MRreviewer = "M. Calvo", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "general two-level explicit formula; logistic growth equation; nonlinear difference equations; nonlinear differential equations; period-2 solution; stability; stable periodic solutions", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909037", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "89e:65168", MRreviewer = "Zeng Rong Chen", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "commercially available hypercube multiprocessors; distributed-memory multiprocessors; linear equations; matrix storage; multiprocessing systems; parallel algorithms; triangular systems; wavefront algorithms", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909038", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "89e:65169", MRreviewer = "Zeng Rong Chen", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "cyclic algorithms; distributed-memory multiprocessors; linear equations; multiprocessing systems; parallel algorithms; triangular systems", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909039", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F15 (65W05)", MRnumber = "89b:65090", MRreviewer = "I. Norman Katz", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "bisection algorithm; eigenvalues; eigenvalues and eigenfunctions; Givens algorithms optimisation; linear interpolation; multiprocessors; parallel algorithms; secant method; symmetric tridiagonal eigenvalue problem", onlinedate = "May 1988", 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", DOI = "https://doi.org/10.1137/0909040", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F30 (65G05 65W05)", MRnumber = "937 496", bibdate = "Mon Mar 31 10:00:04 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Cray-2; floating-point operations; library routines; mathematics computing; matrix algebra; matrix multiplication; memory bank contention; numerical stability", onlinedate = "May 1988", 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 $-processor hypercube", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "4", pages = "609--638", month = jul, year = "1988", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0909041", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05", MRnumber = "945 928", bibdate = "Mon Mar 31 10:00:06 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C4240 (Programming and algorithm theory); C5220 (Computer architecture); C5470 (Performance evaluation and testing)", corpsource = "Div. of Parallel Processing, Sandia Nat. Labs., Albuquerque, NM, USA", fjournal = "SIAM Journal on Scientific and Statistical Computing", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "1024-processor hypercube; 70 to 130 MFLOPS; algorithmic techniques; communication; data-dependent MFLOPs rates; error correction; fluid dynamics; hardware-induced load imbalances; MIMD; operation efficiency; parallel algorithms; parallel architectures; parallel machines; parallel methods; parallel speedup; performance evaluation; redundant computation; scaled speedup; structural analysis; wave mechanics", onlinedate = "July 1988", treatment = "P Practical", } @Article{Geist:1988:FAD, author = "George A. Geist and Charles H. Romine", title = "{$ L U $} 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", DOI = "https://doi.org/10.1137/0909042", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65W05 (65F05)", MRnumber = "89d:65122", bibdate = "Mon Mar 31 10:00:06 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1988", 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", DOI = "https://doi.org/10.1137/0909043", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30 (76-08)", MRnumber = "89g:65142", MRreviewer = "R. N. Pandey", bibdate = "Mon Mar 31 10:00:06 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "boundary-conditioned treatments; error estimates; FEM; finite element analysis; low-order elements; multiply connected domains; physics computing; primitive variables; streamfunction-vorticity equations; vortices", onlinedate = "July 1988", 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", DOI = "https://doi.org/10.1137/0909044", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65C20 (70-08 78-08 78A35 82-08)", MRnumber = "89e:65008", bibdate = "Mon Mar 31 10:00:06 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1988", 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", DOI = "https://doi.org/10.1137/0909045", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65M20", MRnumber = "89e:65097", MRreviewer = "Manfred Dobrowolski", bibdate = "Mon Mar 31 10:00:06 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "error analysis; lines methods; numerical solution; ordinary differential equations; parabolic equations; partial differential equations; truncation error", onlinedate = "July 1988", 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", DOI = "https://doi.org/10.1137/0909046", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F05", MRnumber = "90b:65041", MRreviewer = "Henry Wolkowicz", bibdate = "Mon Mar 31 10:00:06 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1988", 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", DOI = "https://doi.org/10.1137/0909047", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "62J05 (65D10 65K05 65U05)", MRnumber = "945 934", bibdate = "Mon Mar 31 10:00:06 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "linear programming; minimization of the maximum absolute error; minimum sum of absolute errors; MMAE; MSAE; regression; statistical analysis", onlinedate = "July 1988", 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", DOI = "https://doi.org/10.1137/0909048", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "41A05 (65D05)", MRnumber = "90b:41008", MRreviewer = "Girdhar G. Agarwal", bibdate = "Mon Mar 31 10:00:06 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1988", treatment = "T Theoretical or Mathematical", } @Article{Becker:1988:ADA, author = "Richard A. Becker and John 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", DOI = "https://doi.org/10.1137/0909049", ISSN = "0196-5204", ISSN-L = "0196-5204", bibdate = "Mon Mar 31 10:00:06 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "July 1988", 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", DOI = "https://doi.org/10.1137/0909050", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N20 (65W05)", MRnumber = "89c:65116", bibdate = "Mon Mar 31 10:00:06 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "Buneman algorithm; cyclic reduction algorithm; matrix algebra; parallel algorithm; parallel algorithms; partial fraction expansion; rotational matrix functions; vector algorithm", onlinedate = "July 1988", 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", DOI = "https://doi.org/10.1137/0909051", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65F35", MRnumber = "89e:65046", bibdate = "Mon Mar 31 10:00:06 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", keywords = "matrix algebra; optimal circulant preconditioner; Strang preconditioner; Toeplitz matrix; Toeplitz systems", onlinedate = "July 1988", 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", DOI = "https://doi.org/10.1137/0909052", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30", MRnumber = "89g:65143", bibdate = "Mon Mar 31 10:00:08 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1988", 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", DOI = "https://doi.org/10.1137/0909053", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N30", MRnumber = "89g:65136", bibdate = "Mon Mar 31 10:00:08 MDT 2014", 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", journal-URL = "http://epubs.siam.org/loi/sijcd4", 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", onlinedate = "September 1988", 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", DOI = "https://doi.org/10.1137/0909054", ISSN = "0196-5204", ISSN-L = "0196-5204", MRclass = "65N10 (35L50 65M10)", MRnumber = "90b:65188", MRreviewer = "R{\'e}mi Vaillancourt", bibdate = "Mon Mar 31 10:00:08 MDT 2014", bibsource = "http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral