%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "1.13",
%%% date = "08 July 2008",
%%% time = "08:51:06 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 = "10423 23031 96134 920115",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org, beebe at ieee.org
%%% (Internet)",
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%%% docstring = "This is a nearly complete bibliography of the
%%% journal SIAM Journal on Scientific and
%%% Statistical Computing (CODEN SIJCD4, ISSN
%%% 0196-5204), published by the Society for
%%% Industrial and Applied Mathematics (SIAM).
%%% Publication began with Volume 1, Number 1,
%%% March 1980, and ceased with Volume 13, Number
%%% 6, November 1992, when the journal was
%%% renamed to SIAM Journal on Scientific
%%% Computing. The latter journal is covered in
%%% a separate bibliography, siamjscicomp.bib.
%%%
%%% At version 1.13, the year coverage looked
%%% like this:
%%%
%%% 1980 ( 37) 1985 ( 72) 1990 ( 69)
%%% 1981 ( 37) 1986 ( 93) 1991 ( 82)
%%% 1982 ( 33) 1987 ( 87) 1992 ( 85)
%%% 1983 ( 54) 1988 ( 77)
%%% 1984 ( 69) 1989 ( 72)
%%%
%%% Article: 867
%%%
%%% Total entries: 867
%%%
%%% 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
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%%% programs using the exception dictionary
%%% stored in the companion file with extension
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%%%
%%% 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
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%=======================================================================
% 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|,
\path|beebe@ieee.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",
ISSN = "0196-5204",
MRclass = "76E99 (76D10)",
MRnumber = "81e:76043",
MRreviewer = "William H. H. Banks",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Blue:1980:RMS,
author = "James L. Blue",
title = "Robust methods for solving systems of nonlinear
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "22--33",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H10",
MRnumber = "81k:65050",
MRreviewer = "L. Hageman",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Bourgat:1980:LDC,
author = "J. F. Bourgat and J. M. Dumay and R. Glowinski",
title = "Large displacement calculations of flexible pipelines
by finite element and nonlinear programming methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "34--81",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "73G99 (65N30)",
MRnumber = "82c:73037",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Trefethen:1980:NCS,
author = "Lloyd N. Trefethen",
title = "Numerical computation of the {Schwarz-Christoffel}
transformation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "82--102",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "30C30 (65E05)",
MRnumber = "81g:30012a",
MRreviewer = "N. Papamichael",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
note = "See erratum \cite{Trefethen:1980:ENC}.",
acknowledgement = ack-nhfb,
}
@Article{Shampine:1980:IIF,
author = "L. F. Shampine",
title = "Implementation of implicit formulas for the solution
of {ODE}s",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "103--118",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "81e:65041",
MRreviewer = "David R. Hill",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Strikwerda:1980:IMN,
author = "John Strikwerda",
title = "Iterative methods for the numerical solution of second
order elliptic equations with large first order terms",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "119--130",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05",
MRnumber = "81f:65070",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Beam:1980:ADI,
author = "Richard M. Beam and R. F. Warming",
title = "Alternating direction implicit methods for parabolic
equations with a mixed derivative",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "131--159",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M10",
MRnumber = "84d:65067",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Ascher:1980:NSM,
author = "U. Ascher and F. Y. M. Wan",
title = "Numerical solutions for maximum sustainable
consumption growth with a multi-grade exhaustible
resource",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "1",
pages = "160--172",
month = mar,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90A30",
MRnumber = "81f:90036",
MRreviewer = "Kare M. Mjelde",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{DiDonato:1980:CIB,
author = "A. R. DiDonato and M. P. {Jarnagin, Jr.} and R. K.
Hageman",
title = "Computation of the integral of the bivariate normal
distribution over convex polygons",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "179--186",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65U05 (62E15)",
MRnumber = "82c:65097",
MRreviewer = "E. M. Klimko",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Banks:1980:MDL,
author = "Stephen C. Banks and Howard L. Taylor",
title = "A modification to the discrete $\ell_{1}$ linear
approximation algorithm of {Barrodale} and {Roberts}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "187--190",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C05",
MRnumber = "82a:90081",
MRreviewer = "Asen L. Dontchev",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Gropp:1980:TMM,
author = "William D. Gropp",
title = "A test of moving mesh refinement for $2$-{D} scalar
hyperbolic problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "191--197",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N99",
MRnumber = "82j:65088",
MRreviewer = "E. G. D\cprime yakonov",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Serbin:1980:ACM,
author = "Steven M. Serbin and Sybil A. Blalock",
title = "An algorithm for computing the matrix cosine",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "198--204",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F30 (65L05)",
MRnumber = "82b:65031",
MRreviewer = "Cs. J. Heged{\H{u}}s",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{OLeary:1980:EMC,
author = "Dianne Prost O'Leary",
title = "Estimating matrix condition numbers",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "205--209",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "15A12 (65F35)",
MRnumber = "82c:15006",
MRreviewer = "O. Pokorn{\'a}",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Saylor:1980:USV,
author = "Paul E. Saylor",
title = "Use of the singular value decomposition with the
{Manteuffel} algorithm for nonsymmetric linear
systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "210--222",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (65F15)",
MRnumber = "81m:65049",
MRreviewer = "F. Szidarovszky",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Buneman:1980:TFE,
author = "Oscar Buneman",
title = "Tetrahedral finite elements for interpolation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "223--248",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (65D05)",
MRnumber = "82a:65088",
MRreviewer = "H. Marcinkowska",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Engquist:1980:ACC,
author = "Bj{\"o}rn Engquist and Tom Smedsaas",
title = "Automatic computer code generation for hyperbolic and
parabolic differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "249--259",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65-04 (65M05 65V05)",
MRnumber = "81k:65003",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Flaherty:1980:CPT,
author = "Joseph E. Flaherty and William Mathon",
title = "Collocation with polynomial and tension splines for
singularly-perturbed boundary value problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "260--289",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10",
MRnumber = "82a:65055",
MRreviewer = "T. St\'ys",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Bloomfield:1980:LAD,
author = "Peter Bloomfield and William Steiger",
title = "Least absolute deviations curve-fitting",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "290--301",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10 (62J05)",
MRnumber = "82f:65011",
MRreviewer = "Corrado Corradi",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Trefethen:1980:ENC,
author = "Lloyd N. Trefethen",
title = "Erratum: {``Numerical computation of the
Schwarz-Christoffel transformation''}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "2",
pages = "302--302",
month = jun,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "30C30 (65E05)",
MRnumber = "81g:30012b",
MRreviewer = "N. Papamichael",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
note = "See \cite{Trefethen:1980:NCS}.",
acknowledgement = ack-nhfb,
}
@Article{Cybenko:1980:NSL,
author = "George Cybenko",
title = "The numerical stability of the {Levinson-Durbin}
algorithm for {Toeplitz} systems of equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "303--319",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (65M10)",
MRnumber = "82i:65019",
MRreviewer = "Ahmed H. Sameh",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Tretter:1980:ASA,
author = "Marietta J. Tretter and G. W. Walster",
title = "Analytic subtraction applied to the incomplete gamma
and beta functions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "321--326",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D20 (33A15)",
MRnumber = "81m:65029",
MRreviewer = "Anton Hut'a",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{LaVita:1980:EGU,
author = "James LaVita",
title = "Error growth in using the random choice method for the
inviscid {Burgers} equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "327--332",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M15 (76-04 76B99)",
MRnumber = "82i:65057",
MRreviewer = "Murli M. Gupta",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Roulier:1980:CI,
author = "John A. Roulier",
title = "Constrained interpolation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "333--344",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "41A15 (65D05)",
MRnumber = "82e:41018",
MRreviewer = "Philip W. Smith",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Murray:1980:PLA,
author = "Walter Murray and Michael L. Overton",
title = "A projected {Lagrangian} algorithm for nonlinear
minimax optimization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "345--370",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C30",
MRnumber = "82c:90082",
MRreviewer = "J. Mockus",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Kriegsmann:1980:SHE,
author = "Gregory A. Kriegsmann and Cathleen S. Morawetz",
title = "Solving the {Helmholtz} equation for exterior problems
with variable index of refraction. {I}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "371--385",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (35J05 76X05 78A45)",
MRnumber = "82b:65097",
MRreviewer = "Joseph Oliger",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Fornberg:1980:NMC,
author = "Bengt Fornberg",
title = "A numerical method for conformal mappings",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "3",
pages = "386--400",
month = sep,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "30C30 (65E05)",
MRnumber = "81m:30009",
MRreviewer = "G. Opfer",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Silverman:1980:MCE,
author = "B. W. Silverman and D. M. Titterington",
title = "Minimum covering ellipses",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "401--409",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "51M10 (62J99 90C99)",
MRnumber = "82g:51025",
MRreviewer = "R. Pfaffenberger",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Proskurowski:1980:FEC,
author = "W{\l}odzimierz Proskurowski and Olof Widlund",
title = "A finite element-capacitance matrix method for the
{Neumann} problem for {Laplace}'s equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "410--425",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N20 (65N30)",
MRnumber = "83e:65164",
MRreviewer = "Kristian Witsch",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Abarbanel:1980:ITD,
author = "Saul Abarbanel and David Gottlieb",
title = "On improving the $2-4$ two-dimensional leap-frog
scheme",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "426--430",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M10",
MRnumber = "83a:65080",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Steger:1980:GBF,
author = "Joseph L. Steger and Denny S. Chaussee",
title = "Generation of body-fitted coordinates using hyperbolic
partial differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "431--437",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N50",
MRnumber = "83a:65115",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Rice:1980:DQF,
author = "S. O. Rice",
title = "Distribution of quadratic forms in normal random
variables---evaluation by numerical integration",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "438--448",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62E30 (65U05)",
MRnumber = "82g:62037",
MRreviewer = "James E. Gentle",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
note = "See comment \cite{Helstrom:1983:CDQ}.",
acknowledgement = ack-nhfb,
}
@Article{Strikwerda:1980:NMC,
author = "John Strikwerda and James Geer",
title = "A numerical method for computing the shape of a
vertical slender jet",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "449--466",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76D25 (65P05 76A60)",
MRnumber = "82i:76032",
MRreviewer = "Murli M. Gupta",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Watson:1980:SFD,
author = "Layne T. Watson",
title = "Solving finite difference approximations to nonlinear
two-point boundary value problems by a homotopy
method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "467--480",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (58F10 76D10)",
MRnumber = "83b:65083",
MRreviewer = "T. Y. Li",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Ruhe:1980:FED,
author = "Axel Ruhe",
title = "Fitting empirical data by positive sums of
exponentials",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "481--498",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10",
MRnumber = "84h:65019",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Kautsky:1980:EMC,
author = "J. Kautsk\'y and N. K. Nichols",
title = "Equidistributing meshes with constraints",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "499--511",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M50",
MRnumber = "83a:65083",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Calamai:1980:SAS,
author = "P. H. Calamai and A. R. Conn",
title = "A stable algorithm for solving the multifacility
location problem involving {Euclidean} distances",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "4",
pages = "512--526",
month = dec,
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90B05 (90C30)",
MRnumber = "82i:90023",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{deBoor:1980:FNM,
author = "Carl de Boor",
title = "{FFT} as nested multiplication, with a twist",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "1",
number = "??",
pages = "173--178",
year = "1980",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Feb 20 14:39:00 MST 2001",
acknowledgement = ack-nhfb,
ZMnumber = "459.65098",
}
@Article{Eisenstat:1981:EIC,
author = "Stanley C. Eisenstat",
title = "Efficient implementation of a class of preconditioned
conjugate gradient methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "1--4",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10",
MRnumber = "83a:65030",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Wahba:1981:SIS,
author = "Grace Wahba",
title = "Spline interpolation and smoothing on the sphere",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "5--16",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D07 (41A15 65D05)",
MRnumber = "84j:65016a",
bibdate = "Sat Oct 28 08:42:55 2000",
note = "See erratum \cite{Wahba:1982:ESI}.",
acknowledgement = ack-nhfb,
}
@Article{Murio:1981:MMN,
author = "Diego A. Murio",
title = "The mollification method and the numerical solution of
an inverse heat conduction problem",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "17--34",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65P05 (80A20)",
MRnumber = "83e:65192",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Georg:1981:TID,
author = "Kurt Georg",
title = "On tracing an implicitly defined curve by
quasi-{Newton} steps and calculating bifurcation by
local perturbations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "35--50",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "58E07 (58C15 58C40 65H05 65J15 90C30)",
MRnumber = "82k:58031",
MRreviewer = "Christian Fenske",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Carver:1981:USM,
author = "M. B. Carver and S. R. MacEwen",
title = "On the use of sparse matrix approximation to the
{Jacobian} in integrating large sets of ordinary
differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "51--64",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "83a:65060",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Moore:1981:PVM,
author = "D. W. Moore",
title = "On the point vortex method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "65--84",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65R20 (76C05)",
MRnumber = "83f:65214",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Hald:1981:CRM,
author = "Ole H. Hald",
title = "Convergence of random methods for a reaction-diffusion
equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "85--94",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M99 (35K55 80A20)",
MRnumber = "83c:65210",
MRreviewer = "John Crank",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Reitz:1981:SNM,
author = "Rolf D. Reitz",
title = "A study of numerical methods for reaction-diffusion
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "95--106",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M05 (35K55 80A20)",
MRnumber = "83c:65197",
MRreviewer = "John Crank",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Beyn:1981:SMS,
author = "Wolf-J{\"u}rgen Beyn and Eusebius Doedel",
title = "Stability and multiplicity of solutions to
discretizations of nonlinear ordinary differential
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "1",
pages = "107--120",
month = mar,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (58F14)",
MRnumber = "83d:65223",
MRreviewer = "Uri Ascher",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{VanDooren:1981:GEA,
author = "P. {Van Dooren}",
title = "A generalized eigenvalue approach for solving
{Riccati} equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "121--135",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (93E25)",
MRnumber = "83h:65052",
MRreviewer = "Ahmed H. Sameh",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "eigenvalues; eigenvalues and eigenfunctions; linear
system theory; numerical methods; ordering;
QZ-algorithm; Riccati equations; subspace",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Stewart:1981:IDN,
author = "G. W. Stewart",
title = "On the implicit deflation of nearly singular systems
of linear equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "136--140",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05",
MRnumber = "82f:65030",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Maryland, College
Park, MD, USA",
keywords = "iterative methods; linear algebra; linear equations;
matrix algebra; nearly singular systems; sparsity",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Ward:1981:BGE,
author = "Robert C. Ward",
title = "Balancing the generalized eigenvalue problem",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "141--152",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (65F35)",
MRnumber = "83h:65053",
MRreviewer = "Ahmed H. Sameh",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math. and Statistics Res., Union Carbide
Corp., Oak Ridge, TN, USA",
keywords = "algorithm; diagonal transformation; eigenvalues and
eigenfunctions; generalized eigenvalue problem;
numerical methods; QZ algorithm",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Utreras:1981:CRS,
author = "Florencio I. Utreras",
title = "On computing robust splines and applications",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "153--163",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D07",
MRnumber = "82f:65010",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. de Matematicas, Univ. de Chile, Santiago,
Chile",
keywords = "Newton minimization algorithm; penalty function
method; robust splines; spline functions; splines
(mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Davis:1981:NSQ,
author = "George J. Davis",
title = "Numerical solution of a quadratic matrix equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "164--175",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (65F30)",
MRnumber = "82f:65036",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math., Georgia State Univ., Atlanta, GA,
USA",
keywords = "matrix algebra; nonzero vectors; numerical methods;
quadratic matrix equation; scalars; solvent matrix;
square matrices",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Allen:1981:AIP,
author = "Richard C. Allen and Steven A. Pruess",
title = "An analysis of an inverse problem in ordinary
differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "176--185",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "34A55 (65D10)",
MRnumber = "84c:34015",
MRreviewer = "Brian D. Sleeman",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "algorithm; differential equations; matrix algebra;
numerical methods; ordinary differential equations",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Gay:1981:COL,
author = "David M. Gay",
title = "Computing optimal locally constrained steps",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "186--197",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65K05 (49D37)",
MRnumber = "83b:65061",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "algorithm; Hessian; least squares approximations;
locally constrained steps; negative curvature",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Hackbusch:1981:FNS,
author = "Wolfgang Hackbusch",
title = "Fast numerical solution of time-periodic parabolic
problems by a multigrid method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "198--206",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M99",
MRnumber = "82f:65100",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Math. Inst., Ruhr-Univ. Bochum, Bochum, West Germany",
keywords = "algorithm; initial value problem; initial value
problems; iterative methods; multigrid method;
nonlinear mapping; partial differential equation;
partial differential equations; time-periodic parabolic
problems",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Murray:1981:PLA,
author = "Walter Murray and Michael L. Overton",
title = "A projected {Lagrangian} algorithm for nonlinear
$\ell_{1}$\ optimization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "207--224",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "49D37 (65K05)",
MRnumber = "83a:49053",
MRreviewer = "V. F. Dem\cprime yanov",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Operations Res., Stanford Univ., Stanford,
CA, USA",
keywords = "function approximation; Hessian; iterative methods;
Lagrange multiplier; Lagrangian algorithm; line search
algorithm",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Eisenstat:1981:ADS,
author = "Stanley C. Eisenstat and Martin H. Schultz and Andrew
H. Sherman",
title = "Algorithms and data structures for sparse symmetric
{Gaussian} elimination",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "225--237",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (65N20)",
MRnumber = "82f:65029",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra);
C6120 (File organisation)",
corpsource = "Dept. of Computer Sci., Yale Univ., New Haven, CT,
USA",
keywords = "algorithms; data structures; linear equations; matrix
algebra; numerical methods; sparse elimination;
symmetric Gaussian elimination; Yale Sparse Matrix
Package",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Grcar:1981:CPT,
author = "J. Grcar and A. Sameh",
title = "On certain parallel {Toeplitz} linear system solvers",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "2",
pages = "238--256",
month = jun,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (68B20)",
MRnumber = "82e:65030",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL,
USA",
keywords = "algorithms; circulant matrix; Hurwitz factorisation;
matrix algebra; numerical methods; parallel Toeplitz
linear system; subdiagonals",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Fletcher:1981:NPP,
author = "Roger Fletcher",
title = "A nonlinear programming problem in statistics
(educational testing)",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "257--267",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C30 (90C50)",
MRnumber = "82k:90098",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "convergence; education; educational testing;
examination; nonlinear programming; reliability
coefficient; scores; SOLVER method; statistics",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Boisvert:1981:FHO,
author = "Ronald F. Boisvert",
title = "Families of high order accurate discretizations of
some elliptic problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "268--284",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (65N20)",
MRnumber = "82m:65095",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "difference equations; discretizations; elliptic
problems; families; Helmholtz equation; high order
finite difference discretizations; HODIE
discretizations; iterative methods; linear equations;
nine-point formulas; partial differential equations;
statistics; truncation error",
treatment = "T Theoretical or Mathematical",
}
@Article{Saffman:1981:PVS,
author = "P. G. Saffman and J. C. Schatzman",
title = "Properties of a vortex street of finite vortices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "285--295",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76C05",
MRnumber = "82k:76018",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Euler equations; finite area; finite vortices;
infinite array; staggered parallel rows; uniform
vorticity; vortex street; vortices",
treatment = "T Theoretical or Mathematical",
}
@Article{Gottlieb:1981:SCO,
author = "David Gottlieb and Liviu Lustman and Steven A.
Orszag",
title = "Spectral calculations of one-dimensional inviscid
compressible flows",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "296--310",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76A60 (65P05 76L05 76N10)",
MRnumber = "82m:76002",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4740N (Shock-wave interactions)",
corpsource = "ICASE, NASA Langley Res. Center, Hampton, VA, USA",
keywords = "contact discontinuities; grid interval; inviscid
compressible flows; shock waves; shocks; spectral
methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Couet:1981:EEI,
author = "Benoit Cou{\"e}t and A. Leonard",
title = "Exact extension to the infinite domain for the
vortex-in-cell method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "311--320",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76A60 (65P05 76C99)",
MRnumber = "82k:76004",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "boundary conditions; differential equations; exact
extension; finite pentadiagonal systems; infinite
domain; numerical simulation; plane layers; Poisson's
equation; quadratic spline basis functions; splines
(mathematics); statistics; unsteady potential flow;
velocity field; vortex-in-cell method; vortical fluid;
vortices",
treatment = "T Theoretical or Mathematical",
}
@Article{Zlatev:1981:MDI,
author = "Zahari Zlatev",
title = "Modified diagonally implicit {Runge-}{Kutta} methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "321--334",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "82m:65070",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "diagonally implicit Runge-Kutta methods; differential
equations; DIRKM; error estimation; Newton's method;
numerical examples; numerical solution; ordinary
differential equations; Runge-Kutta methods; stability;
statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{Manteuffel:1981:IAA,
author = "Thomas A. Manteuffel",
title = "An interval analysis approach to rank determination in
linear least squares problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "335--348",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65G10",
MRnumber = "82m:65042",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "column rank; decomposition method; interval analysis;
linear least squares problems; matrices; matrix
algebra; rank determination; statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{UtrerasD:1981:OSN,
author = "Florencio {Utreras D.}",
title = "Optimal smoothing of noisy data using spline
functions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "349--362",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10",
MRnumber = "82m:65012",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. de Matematicas, Univ. de Chile, Santiago,
Chile",
keywords = "asymptotic behavior; cross validation; eigenvalues;
noisy data; optimal smoothing; smoothing spline; spline
functions; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Hanson:1981:AMB,
author = "Richard J. Hanson and Michael J. Norris",
title = "Analysis of measurements based on the singular value
decomposition",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "3",
pages = "363--373",
month = sep,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10 (65F30)",
MRnumber = "82m:65011",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "angular representation; computational algorithm;
coordinate systems; drawing; explicit least squares;
manufactured parts; matrix algebra; measurements
analysis; orthogonal transformation matrix; quality
control; related matrix; singular value decomposition",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Funderlic:1981:SHS,
author = "R. E. Funderlic and J. B. Mankin",
title = "Solution of homogeneous systems of linear equations
arising from compartmental models",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "375--383",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (15A06 92A07)",
MRnumber = "83b:65029",
MRreviewer = "Jerome Eisenfeld",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Nuclear Div., Union Carbide Corp., Oak Ridge, TN,
USA",
keywords = "compartmental models; Crout algorithm; differential
equations; error analysis; linear differential
equations; linear equations; LU factorisation; M
matrix; nonnegative off-diagonal elements; queueing
network; steady-state solution; tracer methods;
transfer function; zero column sums",
treatment = "T Theoretical or Mathematical",
}
@Article{Grimes:1981:CNE,
author = "Roger G. Grimes and John G. Lewis",
title = "Condition number estimation for sparse matrices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "384--388",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F35",
MRnumber = "82k:65019",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Energy Technol. Applications Div., Boeing Computer
Services Co., Tukwila, WA, USA",
keywords = "condition number; convergence of numerical methods;
estimation; linear equation solving software; LINPACK
package; matrix algebra; sparse matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Bahar:1981:NTT,
author = "E. Bahar and M. Fitzwater",
title = "Numerical technique to trace the loci of the complex
roots of characteristic equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "389--403",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H05 (78A50 86A35)",
MRnumber = "82k:65025",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Electrical Engng. Dept., Univ. of Nebraska, Lincoln,
NE, USA",
keywords = "analytical expressions; characteristic equations;
complex roots; conformal mapping; covering space;
earth-ionosphere waveguide; irregular spheroidal model;
linear algebra; numerical technique; real zero problem;
vertically polarized waves",
treatment = "T Theoretical or Mathematical",
}
@Article{Stephens:1981:MSB,
author = "A. B. Stephens and G. R. Shubin",
title = "Multiple solutions and bifurcation of finite
difference approximations to some steady problems of
fluid dynamics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "404--415",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "58E07 (34A50 65L05 76-08 76D99)",
MRnumber = "83c:58025",
MRreviewer = "Michael Pr{\"u}fer",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "bifurcation; difference equations; finite difference
approximations; fluid dynamics; multiple finite
difference solutions; one-dimensional duct flow; steady
Burgers' equation; steady problems; supersonic blunt
body problem; viscosity",
treatment = "T Theoretical or Mathematical",
}
@Article{George:1981:SLS,
author = "J. A. George and M. T. Heath and R. J. Plemmons",
title = "Solution of large-scale sparse least squares problems
using auxiliary storage",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "416--429",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F20",
MRnumber = "83d:65124",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C6120 (File organisation)",
corpsource = "Dept. of Computer Sci., Univ. of Waterloo, Waterloo,
Ont., Canada",
keywords = "automatic partitioning scheme; auxiliary storage;
earthquake studies; finite element analysis; geodetic
network adjustments; large-scale sparse least squares
problems; least squares approximations; photogrammetry;
virtual address space; virtual storage",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Alcouffe:1981:MMD,
author = "R. E. Alcouffe and Achi Brandt and J. E. {Dendy, Jr.}
and J. W. Painter",
title = "The multi-grid method for the diffusion equation with
strongly discontinuous coefficients",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "430--454",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N50",
MRnumber = "82k:65072",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Theoretical Div., Los Alamos Sci. Lab., Los Alamos,
NM, USA",
keywords = "difference equations; diffusion equation; finite
difference operators; multi-grid method; strongly
discontinuous coefficients",
treatment = "T Theoretical or Mathematical",
}
@Article{Simpson:1981:TDM,
author = "R. B. Simpson",
title = "A two-dimensional mesh verification algorithm",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "455--473",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N50",
MRnumber = "82k:65073",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Computer Sci., Univ. of Waterloo, Waterloo,
Ont., Canada",
keywords = "boundary data; element incidences; finite element
analysis; finite element mesh; two-dimensional mesh
verification algorithm; vertex coordinates",
treatment = "T Theoretical or Mathematical",
}
@Article{OLeary:1981:BRP,
author = "Dianne P. O'Leary and John A. Simmons",
title = "A bidiagonalization-regularization procedure for large
scale discretizations of ill-posed problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "474--489",
month = dec,
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F99 (45L10 65R20)",
MRnumber = "82k:65020",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Math. Analysis Div., NBS, Washington, DC, USA",
keywords = "bidiagonalization-regularization procedure;
convolution kernels; ill-posed problems; integral
equation; integral equations; Lanczos algorithm;
large-scale discretizations; least squares
approximations; linear least squares problems;
matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Melnick:1982:CEC,
author = "Edward L. Melnick",
title = "Control of errors in the computation of moments of
ranked discrete variables",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "1--5",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62G30 (65U05)",
MRnumber = "83d:62075",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Davis:1982:AFE,
author = "Stephen F. Davis and Joseph E. Flaherty",
title = "An adaptive finite element method for initial-boundary
value problems for partial differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "6--27",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M60 (65M50)",
MRnumber = "83d:65259",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Varah:1982:SLS,
author = "J. M. Varah",
title = "A spline least squares method for numerical parameter
estimation in differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "28--46",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10 (65D07 65L05)",
MRnumber = "83d:65036",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{deBoor:1982:EPA,
author = "Carl {de Boor} and John R. Rice",
title = "Extremal polynomials with application to {Richardson}
iteration for indefinite linear systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "47--57",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10",
MRnumber = "83f:65044",
MRreviewer = "J. Segethov{\'a}",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Scott:1982:SSD,
author = "David S. Scott and Robert C. Ward",
title = "Solving symmetric-definite quadratic $\lambda $-matrix
problems without factorization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "58--67",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15",
MRnumber = "83d:65116",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Scott:1982:AIO,
author = "D. S. Scott",
title = "The advantages of inverted operators in
{Rayleigh-Ritz} approximations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "68--75",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (65F35)",
MRnumber = "83e:65072",
MRreviewer = "Ludwig Elsner",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Colella:1982:GMG,
author = "Phillip Colella",
title = "{Glimm}'s method for gas dynamics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "76--110",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76N10 (65N05 76-08)",
MRnumber = "83f:76069",
MRreviewer = "F. Milinazzo",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Gilbert:1982:CAC,
author = "Robert P. Gilbert and Jarl Jensen",
title = "A computational approach for constructing singular
solutions of one-dimensional pseudoparabolic and
metaparabolic equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "1",
pages = "111--125",
month = mar,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65P05 (35-04)",
MRnumber = "83d:65318",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Shubin:1982:SST,
author = "G. R. Shubin and A. B. Stephens and H. M. Glaz and A.
B. Wardlaw and L. B. Hackerman",
title = "Steady shock tracking, {Newton}'s method, and the
supersonic blunt body problem",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "127--144",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76J99 (76-08)",
MRnumber = "83f:76062",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "axisymmetric supersonic blunt body problem; bow shock;
constant total enthalpy condition; flow over a sphere;
Newton's method; physical shock locations; shock
tracking; shock waves; steady shock tracking method;
supersonic flow",
treatment = "T Theoretical or Mathematical",
}
@Article{Kautsky:1982:SRD,
author = "Jaroslav Kautsky and Nancy K. Nichols",
title = "Smooth regrading of discretized data",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "145--159",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Feb 20 14:39:00 MST 2001",
acknowledgement = ack-nhfb,
ZMnumber = "482.65009",
}
@Article{Genz:1982:LEA,
author = "Alan C. Genz",
title = "A {Lagrange} extrapolation algorithm for sequences of
approximations to multiple integrals",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "160--172",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D30 (65-04)",
MRnumber = "83d:65059",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximations to multiple integrals; Fortran
subroutine; integration; interpolation; multiple
integrals; multivariable Lagrange interpolation;
subroutines",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Chan:1982:ALC,
author = "Tony F. C. Chan and H. B. Keller",
title = "Arc-length continuation and multi-grid techniques for
nonlinear elliptic eigenvalue problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "173--194",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H05",
MRnumber = "83d:65152",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Computer Sci. Dept., Yale Univ., New Haven, CT, USA",
keywords = "arc-length continuation; eigenvalues and
eigenfunctions; elliptic systems; linear systems;
multi-grid algorithm; multi-grid methods; nonlinear
elliptic eigenvalue problems; partial differential
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Smooke:1982:PAP,
author = "Mitchell D. Smooke",
title = "Piecewise analytical perturbation series solutions of
the radial {Schr{\"o}dinger} equation: one-dimensional
case",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "195--222",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (81C12)",
MRnumber = "83d:65232",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "PAPSM; perturbation series solution; piecewise
analytical perturbation series; radial Schrodinger
equation; Schrodinger equation",
treatment = "T Theoretical or Mathematical",
}
@Article{Heath:1982:SEA,
author = "Michael T. Heath",
title = "Some extensions of an algorithm for sparse linear
least squares problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "223--237",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F20 (65F05)",
MRnumber = "83d:65126",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Eubank:1982:COD,
author = "Randall L. Eubank and Patricia L. Smith and Philip W.
Smith",
title = "On the computation of optimal designs for certain time
series models with applications to optimal quantile
selection for location or scale parameter estimation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "238--249",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62M10 (62K05)",
MRnumber = "83h:62137",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Bayliss:1982:OBC,
author = "Alvin Bayliss and Eli Turkel",
title = "Outflow boundary conditions for fluid dynamics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "2",
pages = "250--259",
month = jun,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76-08 (76D05)",
MRnumber = "83f:76008",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "boundary condition; boundary layers; boundary-value
problems; Euler equation; fluid dynamics; high Reynolds
number; Navier-Stokes equations; Navier-Stokes flow;
radiation boundary condition; radiation condition",
treatment = "T Theoretical or Mathematical",
}
@Article{Greenstadt:1982:CDA,
author = "John Greenstadt",
title = "The cell discretization algorithm for elliptic partial
differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "261--288",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N99 (65N30)",
MRnumber = "84c:65148",
MRreviewer = "David F. Griffiths",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Palo Alto Sci. Center, IBM Corp., Palo Alto, CA, USA",
keywords = "boundary value problems; cell discretization
algorithm; elliptic equations; elliptic partial
differential equations; finite element method; partial
differential equations; representative problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1982:GOP,
author = "Walter Gautschi",
title = "On generating orthogonal polynomials",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "289--317",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D15 (33A65 65D20)",
MRnumber = "84e:65022",
MRreviewer = "H. E. Fettis",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Chebyshev; Chebyshev approximation; finite-dimensional
maps; numerical stability; orthogonal polynomials;
polynomials; Stieltjes",
treatment = "T Theoretical or Mathematical",
}
@Article{Kriegsmann:1982:RCW,
author = "Gregory A. Kriegsmann",
title = "Radiation conditions for wave guide problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "318--326",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "78A50",
MRnumber = "83k:78019",
MRreviewer = "W. L. Ko",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B5240D (Waveguide and cavity theory)",
corpsource = "Dept. of Engng. Sci. and Appl. Math., Technol. Inst.,
Northwestern Univ., Evanston, IL, USA",
keywords = "Helmholtz equation; localized radiation conditions;
numerical determination; radiation condition;
two-dimensional wave guide; wave guide problems;
waveguide theory",
treatment = "T Theoretical or Mathematical",
}
@Article{Segal:1982:ANM,
author = "A. Segal",
title = "Aspects of numerical methods for elliptic singular
perturbation problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "327--349",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (65N10)",
MRnumber = "83j:65085",
MRreviewer = "John C. Strikwerda",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "boundary layers; convection; convection-diffusion
equation; diffusion; elliptic singular perturbation
problems; Galerkin finite element methods; iterative
solution methods; numerical methods; partial
differential equations; small viscosity coefficient",
treatment = "T Theoretical or Mathematical",
}
@Article{vanderVorst:1982:VVS,
author = "Henk A. {van der Vorst}",
title = "A vectorizable variant of some {ICCG} methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "350--356",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10",
MRnumber = "83i:65032",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Acad. Computer Centrum Utrecht, Utrecht, Netherlands",
keywords = "highly vectorizable; ICCG methods; large sparse linear
systems; linear algebra; preconditioned conjugate
gradient method; vector machine; vectorizable variant",
treatment = "T Theoretical or Mathematical",
}
@Article{deHoog:1982:IMN,
author = "F. R. {de Hoog} and J. H. Knight and A. N. Stokes",
title = "An improved method for numerical inversion of
{Laplace} transforms",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "357--366",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65R10",
MRnumber = "84h:65113",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "convergence of the Fourier series; function
approximation; inversion integral; Laplace transforms;
numerical inversion; numerical methods; Pade
approximation",
treatment = "T Theoretical or Mathematical",
}
@Article{Petzold:1982:DAE,
author = "Linda Petzold",
title = "Differential\slash algebraic equations are not
{ODEs}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "367--384",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L99 (65H99)",
MRnumber = "83i:65066",
MRreviewer = "L. F. Shampine",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Appl. Math. Div., Sandia Nat. Lab., Livermore, CA,
USA",
keywords = "differential equations; differential/algebraic
equations; difficulties; error estimates; numerical
methods; ODE systems; stiff systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Wahba:1982:ESI,
author = "Grace Wahba",
title = "Erratum: {``Spline interpolation and smoothing on the
sphere''}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "385--386",
month = sep,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D07 (41A15 65D05)",
MRnumber = "84j:65016b",
bibdate = "Sat Oct 28 08:43:16 2000",
note = "See \cite{Wahba:1981:SIS}.",
acknowledgement = ack-nhfb,
}
@Article{Wesseling:1982:TPA,
author = "P. Wesseling",
title = "Theoretical and practical aspects of a multigrid
method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "387--407",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (65F35)",
MRnumber = "84i:65095",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "algebraic system; approximation theory; convergence of
numerical methods; convergence proof; difference
equations; elliptic partial differential equation;
finite difference approximation; incomplete LU
decomposition; iterative methods; matrix algebra;
multigrid method; partial differential equations;
smoothing",
treatment = "T Theoretical or Mathematical",
}
@Article{Gustafsson:1982:SBA,
author = "Bertil Gustafsson and Joseph Oliger",
title = "Stable boundary approximations for implicit time
discretizations for gas dynamics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "408--421",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65P05 (76-08 76N15)",
MRnumber = "84c:65151",
MRreviewer = "T. S. Papatheodorou",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "aerodynamics; approximation theory; centred spacial
differences; conservative variables; convergence of
numerical methods; data specifications; difference
equations; extrapolation; gas dynamics; implicit time
discretizations; initial boundary value problem;
initial value problems; linearized equations; scalar
outflow problem; solid wall boundary problem; stable
difference methods; subsonic inflow problem; subsonic
outflow problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Monaghan:1982:WPM,
author = "J. J. Monaghan",
title = "Why particle methods work (hydrodynamics)",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "422--433",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76-08 (65P05 76W05 85A30)",
MRnumber = "84h:76005",
MRreviewer = "Harald E. Krogstad",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximation theory; finite difference methods;
hydrodynamics; interpolation; kernel estimation;
particle methods; spectral methods; SPH equations",
treatment = "T Theoretical or Mathematical",
}
@Article{DiDonato:1982:MCI,
author = "A. R. DiDonato and R. K. Hageman",
title = "A method for computing the integral of the bivariate
normal distribution over an arbitrary polygon",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "434--446",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62H10 (62-04 65D30)",
MRnumber = "84a:62082",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "arbitrary polygon; bivariate normal distribution;
integration; probability; self-intersecting polygon;
statistics; uniformly bounded N-sided simple polygons",
treatment = "T Theoretical or Mathematical",
}
@Article{Mansfield:1982:SFE,
author = "Lois Mansfield",
title = "On the solution of the finite element equations for
nonlinear shell analysis",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "447--459",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (73K25)",
MRnumber = "84a:65093",
MRreviewer = "N. Gass",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximation theory; arch problem; classical
mechanics of continuous media; elasticity; finite
element analysis; finite element equations; mixed
formulation; multigrid method; nonlinear shell
analysis; potential energy formulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Gartland:1982:DWM,
author = "E. C. {Gartland, Jr.}",
title = "Discrete weighted mean approximation of a model
convection-diffusion equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "460--472",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (65N20 80A20)",
MRnumber = "84j:65058",
MRreviewer = "Robert Beauwens",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximation theory; convection; convective-transport
equation; convergence of numerical methods; difference
equations; diffusion; discretisation; finite-difference
approximations; linear algebraic equations; model
convection-diffusion equation; stability; upwind bias",
treatment = "T Theoretical or Mathematical",
}
@Article{vanderHouwen:1982:PCG,
author = "P. J. {van der Houwen} and H. B. {de Vries}",
title = "Preconditioning and coarse grid corrections in the
solution of the initial value problem for nonlinear
partial differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "473--485",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M20 (65F35)",
MRnumber = "84i:65083",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "coarse grid corrections; convergence; convergence of
numerical methods; implicit linear multistep method;
incomplete LU-decomposition; initial value problem;
initial value problems; integration; iterative methods;
matrix algebra; method of lines; Newton type iteration;
nonlinear differential equations; nonlinear partial
differential equations; partial differential equations;
preconditioning; time-dependent partial differential
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Zlatev:1982:CTA,
author = "Zahari Zlatev and Jerzy Wasniewski and Kjeld
Schaumburg",
title = "Comparison of two algorithms for solving large linear
systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "486--501",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (65F05)",
MRnumber = "83k:65027",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Inst. for Numerical Analysis, Tech. Univ. of Denmark,
Lyngby, Denmark",
keywords = "algorithms; augmented matrices; coefficient matrix;
Gaussian elimination; iterative methods; iterative
refinement; large drop tolerance; large linear systems;
least squares approximations; linear algebra; linear
least-squares problems; NAG subroutines; RECKU
subroutines",
treatment = "T Theoretical or Mathematical",
}
@Article{Atkinson:1982:SGI,
author = "A. C. Atkinson",
title = "The simulation of generalized inverse {Gaussian} and
hyperbolic random variables",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "4",
pages = "502--515",
month = dec,
year = "1982",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65C10 (65U05)",
MRnumber = "84b:65011",
MRreviewer = "James E. Gentle",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1140Z (Other topics in statistics); C7310
(Mathematics computing)",
corpsource = "Imperial Coll., London, UK",
keywords = "algorithms; digital simulation; generalised inverse
Gaussian distribution; multivariate generalized
hyperbolic distributions; probability; simulation;
statistics",
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",
ISSN = "0196-5204",
MRclass = "65E05 (30C30 45L10)",
MRnumber = "84c:65054",
MRreviewer = "W. Niethammer",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations); C4180
(Integral equations)",
corpsource = "Angewandte Math., Eidgenossische Tech. Hochschule
Zurich, Zurich, Switzerland",
keywords = "approximate mapping function; approximation theory;
conformal maps; continuation method; corners;
discretised versions; fast Fourier transform; integral
equations; iterative methods; nonlinear equations;
nonlinear integral equation; nonlinear iterative
methods; nonlinear SOR method; numerical experiments;
preliminary maps; second order Euler method;
Theodorsen's integral equation",
}
@Article{Kahaner:1983:EAQ,
author = "D. Kahaner and J. Stoer",
title = "Extrapolated adaptive quadrature",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "31--44",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D30",
MRnumber = "84c:65041",
MRreviewer = "G. A. Evans",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Center for Appl. Math., Washington, DC, USA",
keywords = "convergence; convergence of numerical methods;
extrapolation; global adaption; input accuracy request;
integration; numerical examples; numerical quadrature;
work",
treatment = "T Theoretical or Mathematical",
}
@Article{Wang:1983:NMS,
author = "J. Y. Wang and B. S. Garbow",
title = "A numerical method for solving inverse real symmetric
eigenvalue problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "45--51",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15",
MRnumber = "84b:65041",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Appl. Math. Div., Argonne Nat. Lab., Argonne, IL,
USA",
keywords = "convergence; convergence of numerical methods;
eigenvalues and eigenfunctions; inverse real symmetric
eigenvalue problems; iterative methods; least squares
approximations; least squares techniques; matching
algorithm; matrix algebra; Newton iteration; numerical
examples",
treatment = "T Theoretical or Mathematical",
}
@Article{Kearfott:1983:SGB,
author = "Ralph Baker Kearfott",
title = "Some general bifurcation techniques",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "52--68",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H10 (58C40 58E07)",
MRnumber = "84f:65047",
MRreviewer = "Eugene Allgower",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4150 (Nonlinear and functional equations)",
corpsource = "Dept. of Math., Southwestern Louisiana Univ.,
Lafayette, LA, USA",
keywords = "derivative-free arc-following method; determinant;
finite differences; Jacobi matrix; multiple bifurcation
points; nonlinear equations; primary bifurcation
points; secondary bifurcation points",
treatment = "T Theoretical or Mathematical",
}
@Article{Joe:1983:EPM,
author = "Barry Joe and Richard Bartels",
title = "An exact penalty method for constrained, discrete,
linear $\ell_{\infty }$ data fitting",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "69--84",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65K05 (90C05)",
MRnumber = "84e:65060",
MRreviewer = "N. N. Abdelmalek",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1180 (Optimisation techniques); C4130
(Interpolation and function approximation)",
corpsource = "Dept. Computer Sci., Univ. Waterloo, Waterloo, Ont.,
Canada",
keywords = "approximation theory; curve fitting; dense problems;
discrete approximation; exact penalty method; linear
l/sub infinity/ data fitting; linear programming;
linearly constrained approximation; penalty linear
programming; small problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Dax:1983:DMD,
author = "Achiya Dax",
title = "A diagonal modification for the down dating
algorithm",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "85--93",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F30",
MRnumber = "84b:65043",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
keywords = "computer rounding errors; diagonal modification;
diagonal positive-definite matrix; down dating
algorithm; matrix algebra; n-vector; triangular
factors; unit diagonal; upper-triangular matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Mendez:1983:NSI,
author = "R{\'a}ul M{\'e}ndez",
title = "Numerical study of incompressible flow about immersed
elastic boundaries",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "94--104",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76C05 (35Q10 65P05 73J06 76-08 76Z05)",
MRnumber = "84d:76015",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "boundary layers; boundary stresses; discretisation;
Euler's equations; immersed elastic boundaries;
incompressible flow; inviscid fluid; one-dimensional
tense elastic boundary; oscillatory motion; Peskin's
link formalism; point-forces; two-dimensional fluid;
vortex dipoles; vortex pairs; vortices; vorticity",
treatment = "T Theoretical or Mathematical",
}
@Article{Marchesin:1983:SGP,
author = "D. Marchesin and P. J. Paes-Leme",
title = "Shocks in gas pipelines",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "105--116",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76N15 (65P05 76-08 76L05)",
MRnumber = "84c:76052",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "conventional damping term; friction; gas pipelines;
Moody friction; numerical schemes; pipe flow; shock
waves; shocks; spikes; transient flow; uniform sampling
method",
treatment = "T Theoretical or Mathematical",
}
@Article{Baum:1983:FDC,
author = "Howard R. Baum and Ronald G. Rehm and P. Darcy Barnett
and Daniel M. Corley",
title = "Finite difference calculations of buoyant convection
in an enclosure. {I}. The basic algorithm",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "117--135",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76R10 (65M05 76-08)",
MRnumber = "84h:76037",
MRreviewer = "Robert Pearson",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "buoyant convection; computer model; convection;
density variations; difference equations; enclosure;
finite difference techniques; fires; hot gases; initial
boundary value problems; mathematical model;
nonseparable elliptic equation; partial differential
equations; smoke; software package; spatially
distributed heat source; substantial heating;
two-dimensional case",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Petzold:1983:ASM,
author = "Linda Petzold",
title = "Automatic selection of methods for solving stiff and
nonstiff systems of ordinary differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "1",
pages = "137--148",
month = mar,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "84k:65075",
MRreviewer = "W. H. Enright",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C7310 (Mathematics
computing)",
corpsource = "Appl. Math. Div., Sandia Nat. Labs., Livermore, CA,
USA",
keywords = "automatic method selection; differential equations;
integration; LSODE package; nonstiff problems; ordinary
differential equations; stiff problems",
treatment = "P Practical",
xxpages = "136--148",
ZMnumber = "518.65051",
}
@Article{Hatcher:1983:IMS,
author = "Robert P. Hatcher and Y. M. Chen",
title = "An iterative method for solving inverse problems of a
nonlinear wave equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "149--163",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M99 (76Q05)",
MRnumber = "84f:65074",
MRreviewer = "Luciano Biasini",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "iterative methods; nonlinear equations; nonlinear wave
equation; ocean sound velocity profile; oceanographic
techniques; pulse-spectrum technique; remote sensing;
underwater sound; wave equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Varah:1983:PNS,
author = "J. M. Varah",
title = "Pitfalls in the numerical solution of linear ill-posed
problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "164--176",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F35 (65R20)",
MRnumber = "84g:65052",
MRreviewer = "V. V. Vasin",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "integral equations; linear algebra; linear ill-posed
problems; linear systems; numerical methods; numerical
solution",
treatment = "T Theoretical or Mathematical",
}
@Article{George:1983:CSM,
author = "Alan George and Michael T. Heath and Esmond Ng",
title = "A comparison of some methods for solving sparse linear
least-squares problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "177--187",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50 (65F20 65U05)",
MRnumber = "85d:65029",
MRreviewer = "M. Brannigan",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Waterloo, Waterloo,
Ont., Canada",
keywords = "Givens rotations; large sparse; linear least squares
problems; matrix algebra; normal equations; numerical
methods; observation matrix; Peters-Wilkinson
algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Watkins:1983:IPS,
author = "David S. Watkins",
title = "An initialization program for separably stiff
systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "188--196",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "84d:65051",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Cullum:1983:LAC,
author = "Jane Cullum and Ralph A. Willoughby and Mark Lake",
title = "A {L{\'a}nczos} algorithm for computing singular
values and vectors of large matrices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "197--215",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15",
MRnumber = "84h:65035",
MRreviewer = "Robert Todd Gregory",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "IBM Thomas J. Watson Res. Center, Yorktown Heights,
NY, USA",
keywords = "eigenvalues and eigenfunctions; eigenvalues and
eigenvectors; Lanczos algorithms; large matrices;
matrix algebra; real matrix; sparse real matrices;
symmetric matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Cuppen:1983:SVD,
author = "J. J. M. Cuppen",
title = "The singular value decomposition in product form",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "216--222",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (65F20)",
MRnumber = "84d:65021",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Luk:1983:ORP,
author = "Franklin T. Luk",
title = "Orthogonal rotation to a partially specified target",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "223--228",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F25 (15A04)",
MRnumber = "84m:65054",
MRreviewer = "B. N. Datta",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Chin:1983:HAF,
author = "R. C. Y. Chin and R. Krasny",
title = "A hybrid asymptotic-finite element method for stiff
two-point boundary value problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "229--243",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (34E20)",
MRnumber = "84e:65064",
MRreviewer = "R. E. O'Malley, Jr.",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "asymptotic-finite element method; boundary-value
problems; finite element analysis; nonlinear; numerical
method; numerical methods; quasilinearization;
two-point boundary value problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Brandt:1983:MMD,
author = "A. Brandt and S. McCormick and J. Ruge",
title = "Multigrid methods for differential eigenproblems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "244--260",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N25 (65N30)",
MRnumber = "84f:65079",
MRreviewer = "K. Najzar",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Heller:1983:SNO,
author = "Don E. Heller and Ilse C. F. Ipsen",
title = "Systolic networks for orthogonal decompositions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "261--269",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F30 (68A05)",
MRnumber = "84d:65027",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Kreiss:1983:CCG,
author = "Barbro Kreiss",
title = "Construction of a curvilinear grid",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "270--279",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M05 (65N05)",
MRnumber = "84e:65090",
MRreviewer = "W. F. Ames",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "curvilinear grid; finite element analysis; hyperbolic
differential equations; interpolation; overlapping
grids; partial differential equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Visscher:1983:EDS,
author = "William M. Visscher and Aaron S. Goldman",
title = "Estimating the distribution of spherical particles
from plane sections: an optimal algorithm for solution
of the {Abel} integral equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "280--290",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65R20",
MRnumber = "84d:65093",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Los Alamos Nat. Lab., Univ. of California, Los Alamos,
NM, USA",
keywords = "Abel integral equation; COMIVE; constrained minimum
variance estimator; integral equations; Monte Carlo;
optimal algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Friedman:1983:MAS,
author = "Jerome H. Friedman and Eric Grosse and Werner
Stuetzle",
title = "Multidimensional additive spline approximation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "291--301",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D07 (41A15)",
MRnumber = "84g:65022",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Stanford Linear Accelerator Center, Stanford, CA,
USA",
keywords = "adaptive procedure; function approximation; nonlinear;
spline functions; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Pagano:1983:AAS,
author = "Marcello Pagano and David Tritchler",
title = "Algorithms for the analysis of several $2\times 2$
contingency tables",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "302--309",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62H17 (62-04)",
MRnumber = "84f:62067",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Gill:1983:CFD,
author = "Philip E. Gill and Walter Murray and Michael A.
Saunders and Margaret H. Wright",
title = "Computing forward-difference intervals for numerical
optimization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "310--321",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "49D07 (49D20 65D25)",
MRnumber = "84i:49052",
MRreviewer = "G. Di Pillo",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "finite element analysis; finite-difference
approximation; forward-difference intervals; nonlinear
function; numerical optimization; optimisation",
treatment = "T Theoretical or Mathematical",
}
@Article{Causey:1983:CAO,
author = "B. D. Causey",
title = "Computational aspects of optimal allocation in
multivariate stratified sampling",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "322--329",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0240Z (Other topics in statistics); C1140Z (Other
topics in statistics)",
keywords = "computational aspects; convex programming;
multivariate stratified sampling; Neyman allocation;
optimal allocation; statistical analysis; total
sampling cost",
treatment = "T Theoretical or Mathematical",
}
@Article{Newton:1983:FMP,
author = "H. Joseph Newton and Marcello Pagano",
title = "The finite memory prediction of covariance stationary
time series",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "330--339",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62M20 (62M10)",
MRnumber = "84g:62152",
MRreviewer = "Hideaki Sakai",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Cholesky decomposition; covariance stationary time
series; filtering and prediction theory; finite memory
prediction; linear predictors; statistical analysis;
time series",
treatment = "T Theoretical or Mathematical",
}
@Article{Bielak:1983:MGP,
author = "J. Bielak and E. Stephan",
title = "A modified {Galerkin} procedure for bending of beams
on elastic foundations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "340--352",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "73K25 (73K05)",
MRnumber = "84e:73045",
MRreviewer = "Ranbir S. Sandhu",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4630C (Elasticity)",
corpsource = "Dept. of Civil Engng., Carnegie-Mellon Univ.,
Pittsburgh, PA, USA",
keywords = "beam bending; bending; convergence of numerical
methods; elastic foundations; elasticity; error
analysis; error estimates; Galerkin procedure; Green's
function; order of convergence; superconvergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Helstrom:1983:CDQ,
author = "Carl W. Helstrom",
title = "Comment: {{``Distribution of quadratic forms in normal
random variables---evaluation by numerical
integration''} [SIAM J. Sci. Statist. Comput. {\bf 1}
(1980), no. 4, 438--448, MR 82g:62037] by S. O. Rice}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "353--356",
month = jun,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62E30 (65D30 65U05)",
MRnumber = "84m:62035",
MRreviewer = "James E. Gentle",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "cumulative distribution; integration; inversion
integral; numerically integrating; probability; random
variable",
treatment = "T Theoretical or Mathematical",
}
@Article{Dutton:1983:MSI,
author = "R. W. Dutton",
title = "Modeling of the silicon integrated-circuit design and
manufacturing process",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "3",
pages = "357--390",
month = sep,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "circuit CAD; computer-aided design tools; diffusion;
field effect integrated circuits; kinetics;
manufacturing computer control; manufacturing process;
numerical effects; oxidation; oxide-isolated MOS
devices; physical effects; process modelling;
semiconductor device models; Si IC design; statistical
implications",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Fichtner:1983:SDS,
author = "Wolfgang Fichtner and Donald J. Rose and Randolph E.
Bank",
title = "Semiconductor device simulation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "3",
pages = "391--415",
month = sep,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (65C20 65N30 78A55)",
MRnumber = "86c:65113a",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B2560B (Semiconductor device modelling and
equivalent circuits); B2560R (Insulated gate field
effect transistors)",
corpsource = "Bell Labs., Murray Hill, NJ, USA",
keywords = "finite difference implementations; finite-element
implementations; insulated gate field effect
transistors; inter electrode capacitive coupling;
MOSFETs; numerical simulation; semiconductor device
models; three-dimensional models; two-dimensional
models; VLSI device structures design",
treatment = "T Theoretical or Mathematical",
}
@Article{Bank:1983:NMS,
author = "Randolph E. Bank and Donald J. Rose and Wolfgang
Fichtner",
title = "Numerical methods for semiconductor device
simulation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "3",
pages = "416--435",
month = sep,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (65C20 65N30 65W05 78A55)",
MRnumber = "86c:65113b",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "coupled system; discretization; linear algebraic
equations; nonlinear algebraic equations; nonlinear
differential equations; nonlinear operator iteration;
nonlinear partial differential equations; numerical
methods; numerical techniques; partial differential
equations; scaling procedures; semiconductor device
models; semiconductor device simulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Watanabe:1983:NSH,
author = "D. S. Watanabe and S. Slamet",
title = "Numerical simulation of hot-electron phenomena",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "3",
pages = "436--451",
month = sep,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Auger recombination processes; avalanche processes;
Baraff's maximum anisotropy distribution function;
current-continuity equations; electron densities;
electron-hole recombination; electrostatic potentials;
finite-difference techniques; gate oxide; hole
densities; hot carriers; hot electron phenomena;
hot-electron distribution function; insulated gate
field effect transistors; Laplace equations; MOS
transistors; parasitic resistance; Poisson equations;
semiconductor device models; Shockley-Read-Hall thermal
generation-recombination; short-channel MOSFETs;
two-dimensional model",
treatment = "T Theoretical or Mathematical",
}
@Article{Polak:1983:APR,
author = "S. J. Polak and W. H. A. Schilders and C. {Den Heijer}
and Wachters and A. J. H. and H. M. Vaes",
title = "Automatic problemsize reduction for on-state
semiconductor problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "3",
pages = "452--461",
month = sep,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B2520 (Semiconductor theory, materials and
properties); B2560B (Semiconductor device modelling and
equivalent circuits)",
corpsource = "Philips Res. Labs., Eindhoven, Netherlands",
keywords = "automatic problemsize reduction; discretized problem;
numerical methods; onstate semiconductor problems;
semiconductor device models",
treatment = "T Theoretical or Mathematical",
}
@Article{Blue:1983:TAS,
author = "J. L. Blue and C. J. Wilson",
title = "Two-dimensional analysis of semiconductor devices
using general-purpose interactive {PDE} software",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "3",
pages = "462--484",
month = sep,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "beveled p-n junction; circuit analysis computing; DMOS
power transistor; general-purpose interactive PDE
software; large scale integration; minicomputer;
nonlinear elliptic partial differential equations;
partial differential equations; punchthrough;
semiconductor device models; semiconductor devices;
short-channel MOSFET; two-dimensional analysis; VLSI
devices",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Newton:1983:RES,
author = "A. R. Newton and A. L. Sangiovanni-Vincentelli",
title = "Relaxation-based electrical simulation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "3",
pages = "485--524",
month = sep,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "circuit analysis computing; circuit simulation
programs; computer-aided design tools; direct
sparse-matrix methods; integrated circuits; monolithic
integrated circuits; nonlinear time-domain transient
analysis; numerical properties; ordinary differential
equations; relaxation based electrical simulation;
semiconductor device models; simulators",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Kaufman:1983:MMQ,
author = "Linda Kaufman",
title = "Matrix methods for queuing problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "3",
pages = "525--552",
month = sep,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "60K25 (65F50)",
MRnumber = "84k:60127",
bibdate = "Sat May 03 12:10:34 1997",
acknowledgement = ack-nhfb,
classification = "C1140C (Queueing theory); C1340 (Specific control
systems)",
corpsource = "Bell Labs., Murray Hill, NJ, USA",
keywords = "Kolmogorov equations; linear systems; matrix algebra;
matrix methods; nonsingular linear systems; partial
differential equations; probability; queueing networks;
queueing theory; queuing problems; servers; singular
matrix; steady state probabilities; waiting times",
treatment = "T Theoretical or Mathematical",
}
@Article{More:1983:CTR,
author = "Jorge J. Mor{\'e} and D. C. Sorensen",
title = "Computing a trust region step",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "3",
pages = "553--572",
month = sep,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65K05 (90C30)",
MRnumber = "86b:65063",
MRreviewer = "A. Ben-Israel",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
corpsource = "Math. and Computer Sci. Div., Argonne Nat. Lab.,
Argonne, IL, USA",
keywords = "ellipsoidal constraint; Fortran implementation;
GQTPAR; minimisation; minimizer; quadratic function;
trust region Newton's method; trust region step
computing",
treatment = "T Theoretical or Mathematical",
}
@Article{Keller:1983:BAP,
author = "Herbert B. Keller",
title = "The bordering algorithm and path following near
singular points of higher nullity",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "573--582",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05",
MRnumber = "85e:65012",
MRreviewer = "Wolfgang Bunse",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1340 (Specific control systems); C4170
(Differential equations)",
corpsource = "Appl. Math., California Inst. of Technol., Pasadena,
CA, USA",
keywords = "bordering algorithm; boundary value problems;
boundary-value problems; differential equations; higher
nullity; linear systems; nonsingular linear systems;
path following; singular points",
treatment = "T Theoretical or Mathematical",
}
@Article{Gear:1983:ISL,
author = "C. W. Gear and Y. Saad",
title = "Iterative solution of linear equations in {ODE}
codes",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "583--601",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "85a:65104",
MRreviewer = "Luciano Biasini",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "codes; iterative methods; Jacobian; linear
differential equations; nonlinear equation; ODE codes;
quasiNewton method; still equation",
treatment = "T Theoretical or Mathematical",
}
@Article{Cline:1983:SCT,
author = "A. K. Cline and R. K. Rew",
title = "A set of counter-examples to three condition number
estimators",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "602--611",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F35 (15A12)",
MRnumber = "85a:65065",
MRreviewer = "F. Szidarovszky",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Computer Sci. Dept., Univ. of Texas, Austin, TX, USA",
keywords = "linear differential equations; linear systems; LINPACK
software package; matrix algebra; three condition
number estimators",
treatment = "T Theoretical or Mathematical",
}
@Article{Hoppensteadt:1983:EMN,
author = "F. C. Hoppensteadt and W. L. Miranker",
title = "An extrapolation method for the numerical solution of
singular perturbation problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "612--625",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L99 (34E15)",
MRnumber = "85a:65131",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "differential equations; extrapolation; extrapolation
method; initial value problems; numerical
approximations; numerical solution; ordinary
differential equations; perturbation techniques;
relaxed equations; singular perturbation problems;
stiff systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Peterson:1983:AMF,
author = "Janet S. Peterson",
title = "An application of mixed finite element methods to the
stability of the incompressible {Navier-Stokes}
equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "626--634",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76D05 (35Q10 65N30 76-08)",
MRnumber = "85h:76021",
MRreviewer = "Christopher Caldwell",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4710 (General fluid dynamics theory, simulation and
other computational methods)",
corpsource = "Dept. of Math., Univ. of Pittsburgh, Pittsburgh, PA,
USA",
keywords = "eigenvalue; eigenvalues and eigenfunctions; error
estimates; finite element analysis; incompressible
Navier-Stokes equation; incompressible viscous flows;
mixed finite element methods; Navier-Stokes equations;
partial differential equation; partial differential
equations; stability; viscosity",
treatment = "T Theoretical or Mathematical",
}
@Article{Shampine:1983:TIO,
author = "Lawrence F. Shampine",
title = "Type-insensitive {ODE} codes based on extrapolation
methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "635--644",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "85j:65026",
MRreviewer = "Nabil R. Nassif",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "codes; differential equations; extrapolation;
extrapolation methods; initial value problem; ordinary
differential equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Hyman:1983:AMP,
author = "James M. Hyman",
title = "Accurate monotonicity preserving cubic interpolation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "645--654",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D05",
MRnumber = "85a:65021",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "accurate monotonicity preserving cubic interpolation;
approximation theory; Hermite interpolant;
interpolation",
treatment = "T Theoretical or Mathematical",
}
@Article{Brandt:1983:MAS,
author = "Achi Brandt and Colin W. Cryer",
title = "Multigrid algorithms for the solution of linear
complementarity problems arising from free boundary
problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "655--684",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N99 (76S05 90C33)",
MRnumber = "85h:65261",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot,
Israel",
keywords = "boundary value problems; boundary-value problems;
cavitating journal bearings; elastic-plastic torsion;
elliptic partial differential equations; free boundary
problems; Gauss-Seidel sweeps; linear complementarity
problems; linear elliptic equation; multigrid
algorithms; multigrid FAS algorithm; partial
differential equations; PFAS; PFASMD; PFMG",
treatment = "T Theoretical or Mathematical",
}
@Article{Cheer:1983:NSI,
author = "A. Y. Cheer",
title = "Numerical study of incompressible slightly viscous
flow past blunt bodies and airfoils",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "685--705",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76-08 (76H05)",
MRnumber = "85a:76004",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4710 (General fluid dynamics theory, simulation and
other computational methods)",
corpsource = "Dept. of Math., Univ. of California, Berkeley, CA,
USA",
keywords = "airfoils; blunt bodies; grid-free numerical method;
incompressible slightly viscous flow; Joukowski
airfoil; Navier-Stokes equations; numerical methods;
Reynolds numbers; viscosity",
treatment = "T Theoretical or Mathematical",
}
@Article{Tierney:1983:SER,
author = "Luke Tierney",
title = "A space-efficient recursive procedure for estimating a
quantile of an unknown distribution",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "706--711",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62L20",
MRnumber = "85e:62173",
MRreviewer = "Luc P. Devroye",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0240 (Probability and statistics); C1140
(Probability and statistics)",
corpsource = "Dept. of Statistics, Carnegie-Mellon Univ.,
Pittsburgh, PA, USA",
keywords = "direct access storage space; quantile estimation;
space-efficient recursive procedure; stochastic
approximation; stochastic processes; unknown
distribution",
treatment = "T Theoretical or Mathematical",
}
@Article{Dongarra:1983: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",
ISSN = "0196-5204",
MRclass = "65F10",
MRnumber = "85a:65054",
MRreviewer = "Beny Neta",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Math. and Computer Sci. Div., Argonne Nat. Lab.,
Argonne, IL, USA",
keywords = "accuracy; computed singular values; eigenvalue;
eigenvalues and eigenfunctions; extended precision
computations; iterative improvement; iterative methods;
linear systems; Newton's method; singular vectors",
treatment = "T Theoretical or Mathematical",
}
@Article{Deken:1983:ACM,
author = "Joseph G. Deken",
title = "Approximating conditional moments of the multivariate
normal distribution",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "720--732",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62H10 (62-04)",
MRnumber = "85d:62059",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "closed system; conditional moments approximation;
conditional normal moments; MACSYMA; multivariate
normal distribution; polynomial approximations;
polynomials; symbol manipulation; symbolic
manipulation",
treatment = "T Theoretical or Mathematical",
}
@Article{Tischer:1983:NCC,
author = "P. Tischer and R. Sacks-Davis",
title = "A new class of cyclic multistep formulae for stiff
systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "733--747",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10",
MRnumber = "85b:65074",
MRreviewer = "J. Sprekels",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "characteristic polynomials; cyclic multistep formulae;
differential equations; numerical integration; ordinary
differential equations; polynomials; stiff systems",
treatment = "N New Development; T Theoretical or Mathematical",
}
@Article{Watson:1983:ASF,
author = "G. A. Watson",
title = "An algorithm for the single facility location problem
using the {Jaccard} metric",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "748--756",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90B05",
MRnumber = "85a:90088",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
keywords = "approximation theory; finite descent algorithm;
Jaccard metric; necessary conditions; single facility
location problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Clark:1983:DAM,
author = "D. I. Clark and M. R. Osborne",
title = "A descent algorithm for minimizing polyhedral convex
functions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "757--786",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C25 (65K05 90C08)",
MRnumber = "85c:90070",
MRreviewer = "Andrew R. Conn",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); C1180 (Optimisation
techniques)",
corpsource = "Math. Dept., Univ. of Kentucky, Lexington, KY, USA",
keywords = "curve fitting; descent algorithm; linear programming;
nonparametric procedures; piecewise linear functions;
piecewise-linear techniques; polyhedral convex
functions minimisation; proximal transform",
treatment = "T Theoretical or Mathematical",
}
@Article{VanDooren:1983:EGE,
author = "P. {Van Dooren}",
title = "Erratum: {{``A generalized eigenvalue approach for
solving Riccati equations''} [SIAM J. Sci. Statist.
Comput. {\bf 2} (1981), no. 2, 121--135, MR
83h:65052]}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "787--787",
month = dec,
year = "1983",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15",
MRnumber = "85a:65062",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
note = "See \cite{VanDooren:1981:GEA}.",
acknowledgement = ack-nhfb,
}
@Article{vanLeer:1984:RBU,
author = "Bram {van Leer}",
title = "On the relation between the upwind-differencing
schemes of {Godunov}, {Engquist-Osher} and {Roe}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "1--20",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M05 (76-08)",
MRnumber = "86a:65085",
bibdate = "Tue Apr 29 18:46:42 MDT 1997",
acknowledgement = ack-nhfb,
}
@Article{Embid:1984:MSS,
author = "Pedro Embid and Jonathan Goodman and Andrew Majda",
title = "Multiple steady states for $1$-{D} transonic flow",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "21--41",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76H05 (65P05)",
MRnumber = "86a:76029",
MRreviewer = "Michael J. O'Carroll",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "1-D transonic flow; compressible flow; compressive
steady shock waves; farfield behaviour; flow
instability; large CFL numbers; multiple steady states;
physical time-dependent perturbations; physically
unstable steady states; scalar model problem;
time-dependent system; transonic flow",
treatment = "T Theoretical or Mathematical",
}
@Article{Kahaner:1984:APG,
author = "D. K. Kahaner and J. Waldvogel and L. W. Fullerton",
title = "Addition of points to {Gauss-Laguerre} quadrature
formulas",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "42--55",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D32",
MRnumber = "85c:65026",
MRreviewer = "Robert Piessens",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "addition of points; error analysis; error estimation;
Gauss-Laguerre quadrature; integration; interval of
integration; positive weights; real points",
treatment = "T Theoretical or Mathematical",
}
@Article{Strikwerda:1984:FDM,
author = "John C. Strikwerda",
title = "Finite difference methods for the {Stokes} and
{Navier-Stokes} equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "56--68",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76D05 (65N05 76-08)",
MRnumber = "85a:76044",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "curved boundaries; difference equations; disc with
polar coordinates; incompressible Navier-Stokes
equations; low Reynolds number; Navier-Stokes
equations; new finite difference scheme; nonrectangular
geometries; nonuniform grids; primitive variable
formulation; second-order accuracy",
treatment = "T Theoretical or Mathematical",
}
@Article{Manohar:1984:HOD,
author = "R. Manohar and J. W. Stephenson",
title = "High order difference schemes for linear partial
differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "69--77",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05",
MRnumber = "86c:65116",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Univ. of Saskatchewan, Saskatoon,
Sask., Canada",
keywords = "boundary conditions; boundary mesh points;
boundary-value problems; difference equations;
difference formulae; high order difference formulae;
linear differential equations; linear partial
differential equations; local solutions; partial
differential equations; Poisson equation; rectangle;
variable coefficients",
treatment = "T Theoretical or Mathematical",
}
@Article{Gunzburger:1984:FEM,
author = "M. D. Gunzburger and H. G. Wood and J. A. Jordan",
title = "A finite element method for gas centrifuge flow
problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "78--94",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76-08 (65N30)",
MRnumber = "85a:76011",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "centrifuges; finite element analysis; finite element
method; gas centrifuge flow problems; Onsager pancake
approximation; rapid rotation; rotational flow",
treatment = "T Theoretical or Mathematical",
}
@Article{Bojanczyk:1984:NSS,
author = "A. Boja\'nczyk and R. P. Brent and H. T. Kung",
title = "Numerically stable solution of dense systems of linear
equations using mesh-connected processors",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "95--104",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05",
MRnumber = "85b:65026",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Inst. for Informatics, Univ. of Warsaw, Warsaw,
Poland",
keywords = "back substitution process; convergence of numerical
methods; dense system; Givens rotations; linear
algebra; linear equations; mesh-connected processors;
multiprocessing systems; multiprocessor structure;
numerically stable solution; one-dimensional array;
two-dimensional array; upper triangular form; VLSI
implementation",
treatment = "T Theoretical or Mathematical",
}
@Article{Cuppen:1984:CIV,
author = "J. J. M. Cuppen",
title = "Calculating the isochrones of ventricular
depolarization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "105--120",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "92A09 (31B20)",
MRnumber = "85d:92007",
MRreviewer = "G. Eason",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A8728 (Bioelectricity); A8730C (Electrical activity
in neurophysiological processes)",
corpsource = "Dept. of Math., Univ. of Amsterdam, Amsterdam,
Netherlands",
keywords = "activation times; body surface potentials;
electrocardiography; heart surface; inverse problem;
isochrones; measurement errors; regularization
techniques; singular value decomposition; time domain;
ventricular depolarization",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1984:DTB,
author = "Tony F. Chan",
title = "Deflation techniques and block-elimination algorithms
for solving bordered singular systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "121--134",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (65H10)",
MRnumber = "85h:65065",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "backward error bounds; block-elimination algorithms;
bordered singular systems; convergence of numerical
methods; deflation techniques; linear algebra; linear
systems; nonlinear equations; numerical continuation
methods; parameterised nonlinear systems; singularity;
sparseness; special data structure; special solver;
special structures; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1984:NLP,
author = "Tony F. Chan",
title = "{Newton}-like pseudo-arclength methods for computing
simple turning points",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "135--148",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65J15 (58C30)",
MRnumber = "85h:65126",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "chord-Newton variant; convergence of numerical
methods; damped-Newton variant; differentiation;
factorisation; global convergence; Jacobian matrix;
Newton's method; Newton-like pseudoarclength methods;
nonlinear equations; quadratic convergence; robustness;
simple turning points",
treatment = "T Theoretical or Mathematical",
}
@Article{Paine:1984:NMI,
author = "John Paine",
title = "A numerical method for the inverse {Sturm-Liouville}
problem",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "149--156",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (34A55 34B25)",
MRnumber = "85c:65097",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximation theory; difference equations;
differential eigenvalues; eigenvalues and
eigenfunctions; finite difference approximation;
inverse eigenvalue problem; inverse Sturm-Liouville
problem; matrix algebra; transformation; tridiagonal
matrix eigenvalue problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Haymond:1984:CMM,
author = "R. E. Haymond and J. P. Jarvis and D. R. Shier",
title = "Computational methods for minimum spanning tree
algorithms",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "157--174",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "68R10",
MRnumber = "85a:68148",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Math. Sci., Clemson Univ., Clemson, SC, USA",
keywords = "address calculation sort; data structures; Kruskal;
minimum spanning tree algorithms; networks; Prim;
Sollin; trees (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Diaconis:1984:NFL,
author = "Persi Diaconis and Mehrdad Shahshahani",
title = "On nonlinear functions of linear combinations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "175--191",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D15 (62G05)",
MRnumber = "85b:65011",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Stanford Univ., Stanford, CA, USA",
keywords = "approximation theory; curve fitting; equality;
function approximation; linear combinations; necessary
and sufficient condition; nonlinear functions;
nonuniqueness; projection pursuit algorithms;
representation",
treatment = "T Theoretical or Mathematical",
}
@Article{Westbrook:1984:MVI,
author = "D. R. Westbrook",
title = "A mixed variational inequality boundary iteration
method for some free boundary problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "192--202",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (49D15)",
MRnumber = "85c:65148",
MRreviewer = "Gerhard Telschow",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximate finite element solutions; boundary
iteration method; boundary-value problems; elliptic
problem; flow through porous media; free boundary
problems; iterative methods; mixed variational
inequality; partial differential equations; variational
techniques",
treatment = "T Theoretical or Mathematical",
}
@Article{Saad:1984:PUS,
author = "Youcef Saad",
title = "Practical use of some {Krylov} subspace methods for
solving indefinite and nonsymmetric linear systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "203--228",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10",
MRnumber = "85m:65029",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Computer Sci. Dept., Yale Univ., New Haven, CT, USA",
keywords = "banded Hessenberg matrix; indefinite systems; Krylov
subspace methods; linear algebra; linear equations; LU
factorisation; nonsymmetric linear systems; partial
pivoting; stable factorisations; SYMMLQ",
treatment = "T Theoretical or Mathematical",
}
@Article{Elden:1984:EAR,
author = "Lars Eld{\'e}n",
title = "An efficient algorithm for the regularization of
ill-conditioned least squares problems with triangular
{Toeplitz} matrix",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "229--236",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10 (65F35 65R20 80-08)",
MRnumber = "86c:65014",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "convergence of numerical methods; discretisation;
ill-conditioned least squares problems; integral
equations; inverse heat conduction problem; least
squares approximations; matrix algebra; stabilisation;
stationary kernel; Tikhonov-Phillips regularization;
triangular Toeplitz matrix; Volterra integral
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Elden:1984:ARI,
author = "Lars Eld{\'e}n",
title = "An algorithm for the regularization of
ill-conditioned, banded least squares problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "1",
pages = "237--254",
month = mar,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F35 (45B05 49A34 65D10)",
MRnumber = "86b:65034",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "convergence of numerical methods; efficiency; fill-in;
George and Heath; ill-conditioned banded least-squares
problems; least squares approximations; matrix algebra;
normal equations; plane rotations; QR-decomposition;
regularization; smoothing splines; splines
(mathematics); stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Liu:1984:IAS,
author = "J. Q. Liu and Y. M. Chen",
title = "An iterative algorithm for solving inverse problems of
two-dimensional diffusion equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "255--269",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M99",
MRnumber = "86c:65111",
MRreviewer = "Nabil R. Nassif",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "inverse problems; iterative algorithm; iterative
methods; linear diffusion equation; numerical
algorithm; pulse-spectrum technique; two-dimensional
diffusion equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Duff:1984:DFF,
author = "I. S. Duff",
title = "Design features of a frontal code for solving sparse
unsymmetric linear systems out-of-core",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "270--280",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50 (65F05)",
MRnumber = "85f:65039",
MRreviewer = "O. Pokorn{\'a}",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C6120 (File organisation); C6130 (Data handling
techniques)",
corpsource = "Computer Sci. and Div., AERE, Harwell, UK",
keywords = "codes; CRAY-1; data structures; design features;
frontal code; IBM 3033; internal data structures;
pivoting strategy; sparse unsymmetric linear systems;
user interface",
treatment = "P Practical",
}
@Article{Chin:1984:APS,
author = "Raymond C. Y. Chin and Thomas A. Manteuffel and John
{de Pillis}",
title = "{ADI} as a preconditioning for solving the
convection-diffusion equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "281--299",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (65N20)",
MRnumber = "86g:65067",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "alternating direction implicit methods; Chebyshev
approximation; Chebyshev method; convection-diffusion
equation; directional property; eigenvalues;
eigenvalues and eigenfunctions; iterative methods;
optimal parameters; partial differential equation;
preconditioning; Reynolds number",
treatment = "T Theoretical or Mathematical",
}
@Article{Fritsch:1984:MCL,
author = "F. N. Fritsch and J. Butland",
title = "A method for constructing local monotone piecewise
cubic interpolants",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "300--304",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D05 (65D07)",
MRnumber = "85h:65022",
MRreviewer = "Peter Alfeld",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "interpolation; local monotone piecewise cubic
interpolants; monotone data",
treatment = "T Theoretical or Mathematical",
}
@Article{Mastin:1984:QMG,
author = "C. W. Mastin and J. F. Thompson",
title = "Quasiconformal mappings and grid generation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "305--310",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "30C60 (65N05)",
MRnumber = "85f:30029",
MRreviewer = "Timo Erkama",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Math. and Statistics, Mississippi State
Univ., Mississippi State, MS, USA",
keywords = "boundary-value problems; elliptic equations; finite
difference scheme; graph theory; grid generation;
quasiconformal mappings; two-dimensional surfaces",
treatment = "T Theoretical or Mathematical",
}
@Article{Hager:1984:CE,
author = "William W. Hager",
title = "Condition estimates",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "311--316",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F35",
MRnumber = "86f:65083",
MRreviewer = "Jozef Miklo{\v{s}}ko",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. of Math., Pennsylvania State Univ., University
Park, PA, USA",
keywords = "condition number; matrix; matrix algebra",
treatment = "T Theoretical or Mathematical",
}
@Article{Cybenko:1984:FAD,
author = "George Cybenko",
title = "Fast approximation of dominant harmonics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "317--331",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62M10 (65F15)",
MRnumber = "85c:62236",
MRreviewer = "E. L. Albasiny",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0240Z (Other topics in statistics); C1140Z (Other
topics in statistics)",
corpsource = "Dept. of Maths., Tufts Univ., Medford, MA, USA",
keywords = "autoregressive scheme; data sequence; discrete Fourier
transform matrix; dominant harmonics; eigenvalues;
eigenvalues and eigenfunctions; eigenvectors;
exponential approximation; fast approximation; Lanczos
algorithm; linear prediction; matrix algebra; Prony's
method; pure point spectrum; spectral analysis;
stochastic sense; symmetric matrix; time series",
treatment = "T Theoretical or Mathematical",
}
@Article{Weber:1984:ETC,
author = "H. Weber",
title = "An efficient technique for the computation of stable
bifurcation branches",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "332--348",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65J15",
MRnumber = "85i:65075",
MRreviewer = "K. Moszy\'nski",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1310 (Control system analysis and synthesis
methods)",
corpsource = "Fachbereich Math., Johannes Gutenberg-Univ. Mainz,
Mainz, West Germany",
keywords = "control system analysis; difference approximations;
eigenvalues and eigenfunctions; large sparse linear
systems; linear systems; multigrid iteration; nonlinear
eigenvalue problems; selective Picard iteration; stable
bifurcation branches; stable branches",
treatment = "T Theoretical or Mathematical",
}
@Article{Marsaglia:1984:FEI,
author = "George Marsaglia and Wai Wan Tsang",
title = "A fast, easily implemented method for sampling from
decreasing or symmetric unimodal density functions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "349--359",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65U05 (65C10)",
MRnumber = "86a:65137",
MRreviewer = "M. Muller",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "FORTRAN subroutine; Fortran subroutines; Monte Carlo
methods; numerical analysis; REXP; RNOR; sampling;
subroutines; symmetric unimodal density functions;
ziggurat method",
treatment = "N New Development; P Practical; T Theoretical or
Mathematical",
}
@Article{deGroen:1984:BSS,
author = "Pieter P. N. {de Groen} and Martin Hermann",
title = "Bidirectional shooting: a strategy to improve the
reliability of shooting methods for {ODE}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "360--369",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (65F15)",
MRnumber = "85c:65089",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. Wiskunde, Vrije Univ. Brussel, Brussel,
Belgium",
keywords = "bidirectional shooting; boundary value problems;
boundary-value problems; differential equations;
endpoints; matrices; ordinary differential equations;
orthogonal projections; reliability; singular values",
treatment = "N New Development; T Theoretical or Mathematical",
}
@Article{Lotstedt:1984:NST,
author = "Per L{\"o}tstedt",
title = "Numerical simulation of time-dependent contact and
friction problems in rigid body mechanics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "370--393",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "70-08 (70E99)",
MRnumber = "85b:70002",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Coulomb's law; data structure; differential equations;
discrete friction model; friction problems; linear
multistep methods; mechanics; numerical analysis;
numerical simulation; ordinary differential equations;
quadratic programming; rigid body mechanics;
time-dependent contact",
treatment = "T Theoretical or Mathematical",
}
@Article{Bjorck:1984:GUA,
author = "{\AA}ke Bj{\"o}rck",
title = "A general updating algorithm for constrained linear
least squares problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "394--402",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10 (65F50 65U05)",
MRnumber = "85k:65012",
MRreviewer = "John Todd",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Univ. of Linkoping, Linkoping,
Sweden",
keywords = "constrained linear least squares problems; dense
subsets; general updating algorithm; least squares
approximations; linear constraints; sparse subsets",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1984:RD,
author = "G. W. Stewart",
title = "Rank degeneracy",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "403--413",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F25 (65F15)",
MRnumber = "85h:65086",
MRreviewer = "G. C. Barozzi",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Computer Sci. Dept., Univ. of Maryland, College Park,
MD, USA",
keywords = "errors; matrix algebra; matrix rank; perturbation
theory; rank degeneracy",
treatment = "T Theoretical or Mathematical",
}
@Article{Roed:1984:OBC,
author = "Lars Petter R{\o}ed and Ole Martin Smedstad",
title = "Open boundary conditions for forced waves in a
rotating fluid",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "414--426",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76U05",
MRnumber = "85b:76058",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "channel flow; forced waves; open boundary conditions;
rotating fluid; rotational flow; Sommerfeld radiation
condition; waves",
treatment = "T Theoretical or Mathematical",
}
@Article{Schwandt:1984:IAA,
author = "Hartmut Schwandt",
title = "An interval arithmetic approach for the construction
of an almost globally convergent method for the
solution of the nonlinear {Poisson} equation on the
unit square",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "427--452",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65G10 (65N05)",
MRnumber = "85f:65047",
MRreviewer = "J. Albrycht",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290K (Nonlinear and functional equations); C4150
(Nonlinear and functional equations)",
corpsource = "Fachbereich Math., Tech. Univ. Berlin, Berlin, West
Germany",
keywords = "almost globally convergent method; boundary-value
problems; computation time; Dirichlet boundary
conditions; discretization; interval arithmetic
approach; Newton-like method; nonlinear equations;
nonlinear Poisson equation; storage requirement; unit
square",
treatment = "T Theoretical or Mathematical",
}
@Article{Harrod:1984:CSD,
author = "W. J. Harrod and R. J. Plemmons",
title = "Comparison of some direct methods for computing
stationary distributions of {Markov} chains",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "453--469",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "60J10 (65U05)",
MRnumber = "85j:60124",
MRreviewer = "M. F. Neuts",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "direct LU factorization method; error analysis; Markov
chains; Markov processes; probability; stationary
distributions",
treatment = "T Theoretical or Mathematical",
}
@Article{Marsaglia:1984:GCM,
author = "George Marsaglia and Ingram Olkin",
title = "Generating correlation matrices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "470--475",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65C10 (62H99)",
MRnumber = "85h:65018",
MRreviewer = "G. P. Bhattacharjee",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0240G (Monte Carlo methods); C1140G (Monte Carlo
methods)",
corpsource = "Computer Sci. Dept., Washington State Univ., Pullmann,
WA, USA",
keywords = "correlation matrices generation; eigenvalues;
eigenvalues and eigenfunctions; matrix algebra; Monte
Carlo methods; random correlation matrices; random
variables",
treatment = "T Theoretical or Mathematical",
}
@Article{Lugannani:1984:DRQ,
author = "R. Lugannani and S. O. Rice",
title = "Distribution of the ratio of quadratic forms in normal
variables---numerical methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "476--488",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65U05 (62-04)",
MRnumber = "85h:65282",
MRreviewer = "Kenneth N. Berk",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "closed-form expressions; composite random variables;
normal variables; numerical integration; numerical
methods; probability; probability density; quadratic
forms",
treatment = "T Theoretical or Mathematical",
}
@Article{Watanabe:1984:OLF,
author = "Daniel S. Watanabe and Qasim M. Sheikh",
title = "One-leg formulas for stiff ordinary differential
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "2",
pages = "489--496",
month = jun,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "85i:65092",
MRreviewer = "J. M. Sanz-Serna",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Computer Sci., Univ. of Illinois, IL, USA",
keywords = "backward differentiation formulas; differential
equations; instability; one-leg formulas; stability;
stability properties; stiff ordinary differential
equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Heath:1984:NML,
author = "Michael T. Heath",
title = "Numerical methods for large sparse linear least
squares problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "497--513",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50 (65F20)",
MRnumber = "86j:65051",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "constraints; elimination; finite element structural
analysis; geodetic network adjustments; Givens
rotations; iterative methods; least squares
approximations; matrix algebra; normal equations;
numerical methods; orthogonalization; rank deficiency;
sparse least squares; updating",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "B Bibliography; T Theoretical or Mathematical",
ZMnumber = "575.65030",
}
@Article{Ward:1984:SMS,
author = "Robert C. Ward",
title = "{Sparse Matrix Symposium}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "497--743",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Sat May 03 12:10:51 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
conflocation = "Fairfield Glade, TN, USA; 25-27 Oct. 1982",
conftitle = "Sparse Matrix Symposium",
keywords = "block tridiagonal systems; collinearity problem;
conformal mapping; dense gas dispersion; discrete
Newton algorithms; doubly-connected domains;
eigenvalues; eigenvectors; finite difference scheme;
force method; gas phase chemical kinetics models; Huber
robust regression; incomplete factorization methods;
Krylov subspace methods; linear regression; matrix
algebra; mesh problems; multifrontal solution;
optimization; parallel processing; rate constants;
reconfigurable array computers; singular functions;
software scene; sparse linear least squares; sparse
matrix; sparse orthogonal schemes; structural
optimization; symmetric band matrix",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Heath:1984:SOS,
author = "M. T. Heath and R. J. Plemmons and R. C. Ward",
title = "Sparse orthogonal schemes for structural optimization
using the force method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "514--532",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "73K40 (65F50)",
MRnumber = "85f:73078",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "constrained sum of squares method; digital computers;
force method; Givens rotations; linear least squares
problems; matrix algebra; matrix structural analysis;
nonlinear elastic analysis; optimisation; orthogonal
factorization techniques; Paige's method; sparse
systems; structural optimization; turnback QR method",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "T Theoretical or Mathematical",
ZMnumber = "575.65031",
}
@Article{Chan:1984:NPK,
author = "Tony F. Chan and Kenneth R. Jackson",
title = "Nonlinearly preconditioned {Krylov} subspace methods
for discrete {Newton} algorithms",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "533--542",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H10 (90C30)",
MRnumber = "85h:65112",
MRreviewer = "J. E. Dennis, Jr.",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "conjugate gradient methods; directional differencing;
discrete Newton algorithms; iterative methods; Jacobian
matrix; Krylov subspace iterative method; matrix
algebra; Newton's method; nonlinear equations;
nonlinear system; numerical methods; SSOR type
preconditioning",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "T Theoretical or Mathematical",
}
@Article{Behie:1984:IFM,
author = "G. A. Behie and P. A. {Forsyth, Jr.}",
title = "Incomplete factorization methods for fully implicit
simulation of enhanced oil recovery",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "543--561",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (65N20 65W05 76S05)",
MRnumber = "86b:65026",
MRreviewer = "R. P. Tewarson",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "COMBINATIVE method; enhanced oil recovery; ILU
methods; incomplete factorization methods; iterative
methods; matrix algebra; nonlinear differential
equations; nonlinear equations; nonsymmetric
block-banded systems; oil technology; ORTHOMIN
acceleration; partial differential equations;
preconditioning; reservoir simulation",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "T Theoretical or Mathematical",
}
@Article{Gill:1984:SMM,
author = "Philip E. Gill and Walter Murray and Michael A.
Saunders and Margaret H. Wright",
title = "Sparse matrix methods in optimization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "562--589",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50 (49D99 65K10)",
MRnumber = "85k:65038",
MRreviewer = "Sven-{\AA}ke Gustafson",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "augmented Lagrangian methods; conjugate-gradient
methods; iterative method; iterative methods; large
scale nonlinear optimization; linear algebra; linear
programming; linear systems; matrix factorizations;
Newton type methods; nonlinear constraints; numerical
methods; optimisation; optimization; quadratic
programming; Schur complement; sparse linear
constraints; sparse matrices",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "B Bibliography; T Theoretical or Mathematical",
}
@Article{Parlett:1984:SSE,
author = "B. N. Parlett",
title = "The software scene in the extraction of eigenvalues
from sparse matrices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "590--604",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (65F50)",
MRnumber = "85i:65048",
MRreviewer = "David R. Kincaid",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "eigenvalues; eigenvalues and eigenfunctions; EISPACK;
FORTRAN subroutines; Lanczos algorithm; matrix algebra;
software; software packages; sparse matrices; subspace
iteration",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "P Practical",
}
@Article{Duff:1984:DMS,
author = "Iain S. Duff",
title = "Direct methods for solving sparse systems of linear
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "605--619",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50",
MRnumber = "85h:65094",
MRreviewer = "Niels Munksgaard",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "auxiliary storage; Gaussian elimination; linear
algebra; linear equations; main memory; matrix
factorization; NAG; orthogonal decompositions;
pivoting; positive definite systems; software; sparse
systems",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{OLeary:1984:OSP,
author = "Dianne P. O'Leary",
title = "Ordering schemes for parallel processing of certain
mesh problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "620--632",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N20 (65F10 65W05 68N99 68U10)",
MRnumber = "85h:65226",
MRreviewer = "C. Wayne Mastin",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "conjugate gradient algorithms; difference equations;
finite difference method; finite element analysis;
finite element methods; Gauss-Seidel; Jacobi method;
mesh problems; nine-point operator; ordering schemes;
parallel processing; picture processing problems; SOR
iteration",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "T Theoretical or Mathematical",
}
@Article{Duff:1984:MSU,
author = "I. S. Duff and J. K. Reid",
title = "The multifrontal solution of unsymmetric sets of
linear equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "633--641",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50",
MRnumber = "85h:65093",
MRreviewer = "Niels Munksgaard",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "CRAY-1; frontal solution; Gaussian elimination; IBM
3081K; linear algebra; linear equations; multifrontal
technique; numerical methods; parallel machine; sparse
matrices; unsymmetric equations; vectorization",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "T Theoretical or Mathematical",
}
@Article{Byrne:1984:PFR,
author = "G. D. Byrne and A. J. DeGregoria and D. E. Salane",
title = "A program for fitting rate constants in gas phase
chemical kinetics models",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "642--657",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "80A30 (80-04)",
MRnumber = "85g:80004",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "chemical kinetics package; chemical reaction
mechanism; chemical reactions; chemistry computing;
CHEMKIN based program; equations of state of gases;
FORTRAN subroutine; gas phase chemical kinetics
mechanisms; Gauss Newton procedure; inverse problems;
kinetic theory of gases; numerical methods; parameter
estimation; rate constants; reaction kinetics;
stoichiometric form; thermodynamic data",
sponsororg = "Army Res. Office; Office of Naval Res.; Oak Ridge Nat.
Lab",
treatment = "P Practical",
}
@Article{Scott:1984:CFE,
author = "David S. Scott",
title = "Computing a few eigenvalues and eigenvectors of a
symmetric band matrix",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "658--666",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15",
MRnumber = "85k:65032",
MRreviewer = "R. E. Funderlic",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Texas Univ., Austin, TX, USA",
keywords = "bisection algorithm; convergence of numerical methods;
eigenvalues; eigenvalues and eigenfunctions;
eigenvectors; generalized eigenvalue problems; global
convergence; Lanczos algorithm; local convergence;
matrix algebra; numerical methods; Rayleigh quotient
iteration; symmetric band matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Kansa:1984:SMF,
author = "E. J. Kansa and D. L. {Morgan, Jr.} and L. K. Morris",
title = "A simplified moving finite difference scheme:
application to dense gas dispersion",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "667--683",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76-08 (65M05 76L05)",
MRnumber = "85f:76012",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4755K (Multiphase flows); B0290P (Differential
equations); C4170 (Differential equations)",
corpsource = "Lawrence Livermore Nat. Lab., CA, USA",
keywords = "dense gas; difference equations; finite difference
scheme; grid velocity; least-squares; liquefied natural
gas; moving grid scheme; numerical methods; ordinary
differential equations; partial differential equations;
PDEs; Rankine-Hugoniot relations; regularization
schemes; two-phase flow; two-phase fluid flow",
treatment = "T Theoretical or Mathematical",
}
@Article{Papamichael:1984:USF,
author = "N. Papamichael and C. A. Kokkinos",
title = "The use of singular functions for the approximate
conformal mapping of doubly-connected domains",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "684--700",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "30C30",
MRnumber = "86a:30011",
MRreviewer = "G. Opfer",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Bergman kernel; circular annulus; conformal mapping;
doubly-connected domain; finite Fourier series sum;
Fourier transforms; function approximation; functional
analysis; orthonormalization method; singular
functions; variational method; variational techniques",
treatment = "T Theoretical or Mathematical",
}
@Article{Kapur:1984:TSB,
author = "R. N. Kapur and J. C. Browne",
title = "Techniques for solving block tridiagonal systems on
reconfigurable array computers",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "701--719",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65W05 (65F05)",
MRnumber = "86j:65190",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Texas Univ., Austin, TX, USA",
keywords = "array computers; block tridiagonal systems; data flow
requirements; linear system solving techniques; matrix
algebra; multiphase parallel structuring; parallel
algorithms; parallel processing; reconfigurable
computers",
treatment = "T Theoretical or Mathematical",
}
@Article{Boncelet:1984:VHR,
author = "Charles G. {Boncelet, Jr.} and Bradley W. Dickinson",
title = "A variant of {Huber} robust regression",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "720--734",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62J05 (62F35)",
MRnumber = "85h:62086",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "constrained regression; Huber; least absolute
residuals; least squares; least squares approximations;
linear regression; M-estimator; robust regression;
scale estimate; statistical analysis; trimmed mean",
treatment = "T Theoretical or Mathematical",
}
@Article{Wold:1984:CPL,
author = "S. Wold and A. Ruhe and H. Wold and W. J. {Dunn,
III}",
title = "The collinearity problem in linear regression. The
partial least squares ({PLS}) approach to generalized
inverses",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "3",
pages = "735--743",
month = sep,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "chemometrics; collinearities; conjugate gradient
method; cross validation; generalized inverses; least
squares approximations; linear regression; multiple
regression; optimal rank; partial least squares;
principal components regression; ridge regression;
statistical analysis",
treatment = "T Theoretical or Mathematical",
}
@Article{Mattheij:1984:EAS,
author = "R. M. M. Mattheij and G. W. M. Staarink",
title = "An efficient algorithm for solving general linear
two-point {BVP} (boundary value problems)",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "745--763",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10",
MRnumber = "86a:65076",
MRreviewer = "V. Pereyra",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation);
C4170 (Differential equations)",
corpsource = "Dept. of Math. Sci., Rensselaer Polytech. Inst., Troy,
NY, USA",
keywords = "boundary value problems; boundary-value problems;
differential equations; efficient algorithm; general
linear two-point BVP; integration; integration steps;
multiple shooting recursion; numerical analysis;
numerical examples; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Luk:1984:OPR,
author = "Franklin T. Luk",
title = "Oblique {Procrustes} rotations in factor analysis",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "764--770",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62H25 (65U05)",
MRnumber = "86j:62136",
MRreviewer = "Jack C. Lee",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1140Z (Other topics in statistics); C4140 (Linear
algebra)",
corpsource = "Dept. of Comput. Sci., Cornell Univ., Ithaca, NY,
USA",
keywords = "factor analysis; factor matrix; iterative computing;
least squares fit; matrix algebra; numerical methods;
oblique procrustes; oblique rotation; statistical
analysis; target matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Fornberg:1984:NMC,
author = "Bengt Fornberg",
title = "A numerical method for conformal mapping of doubly
connected regions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "771--783",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "30C30 (65E05)",
MRnumber = "86b:30009",
MRreviewer = "G. Opfer",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Exxon Res. and Eng. Co., Annandale, NJ, USA",
keywords = "annulus; concentric circles; conformal mapping;
convergence; convergence of numerical methods; doubly
connected regions; iterative methods; linearly
converging iteration scheme; numerical method; smooth
boundaries",
treatment = "T Theoretical or Mathematical",
}
@Article{McKeown:1984:MPA,
author = "P. G. McKeown",
title = "A mathematical programming approach to editing of
continuous survey data",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "784--797",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1180 (Optimisation techniques); C7160
(Manufacturing and industrial administration)",
corpsource = "Coll. of Bus. Adm., Geogia Univ., Athens, GA, USA",
keywords = "Annual Survey of Manufacturers; answer fields;
computational results; continuous survey data;
detection process; editing; error detection; errors;
inconsistencies; manufacturing data processing;
mathematical programming; minimisation; weighted
number",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Niederreiter:1984:PSP,
author = "Harald Niederreiter",
title = "The performance of $k$-step pseudorandom number
generators under the uniformity test",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "798--810",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65C10 (11K06)",
MRnumber = "86f:65029",
MRreviewer = "R. G. Stoneham",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4210 (Formal logic)",
corpsource = "Math. Inst., Austrian Acad. of Sci., Vienna, Austria",
keywords = "integers; k-step; linear recursions; pseudorandom
number generators; random number generation; recursive
functions; sequences; uniformity test",
treatment = "T Theoretical or Mathematical",
}
@Article{Ascher:1984:CSP,
author = "U. Ascher and R. Weiss",
title = "Collocation for singular perturbation problems. {III}.
Nonlinear problems without turning points",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "811--829",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (34E15)",
MRnumber = "86g:65138b",
MRreviewer = "D. F. Mayers",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Dept. of Comput. Sci., British Columbia Univ.,
Vancouver, BC, Canada",
keywords = "boundary-value problems; collocation; convergence of
numerical methods; locally refined meshes; nonlinear
differential equations; nonlinear singularly perturbed
boundary value problems; numerical solution;
perturbation techniques; singular perturbation
problems; symmetric finite difference schemes; turning
points; uniform convergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Banks:1984:SBT,
author = "H. T. Banks and I. G. Rosen and K. Ito",
title = "A spline based technique for computing {Riccati}
operators and feedback controls in regulator problems
for delay equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "830--855",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "49D99 (34K35 93B40)",
MRnumber = "86b:49052",
MRreviewer = "F. M. Kirillova",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "averaging; control system synthesis; delay equations;
delays; feedback; feedback controls; infinite interval
regulator problem; optimal control; regulator problems;
Riccati operators; spline; spline approximation method;
splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Aref:1984:NFD,
author = "H. Aref and P. K. Daripa",
title = "Note on finite difference approximations to {Burgers}'
equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "856--864",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M10",
MRnumber = "86d:65115",
MRreviewer = "W. F. Ames",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Burgers' equation; difference equations;
discretizations; dynamical systems theory; finite
difference approximations; flow simulation; initial
conditions; initial value problems; kinetic energy;
nonconservation; nondissipative terms; partial
differential equations; phase plane analysis; physics
computing; pointwise resolution; spurious solutions;
steady state problem; unlimited amplitude growth",
treatment = "T Theoretical or Mathematical",
}
@Article{Flaherty:1984:NMS,
author = "Joseph E. Flaherty and Robert E. {O'Malley, Jr.}",
title = "Numerical methods for stiff systems of two-point
boundary value problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "865--886",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (34E15)",
MRnumber = "86a:65070",
MRreviewer = "Martin Stynes",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "asymptotic solutions; code; differential equations;
elastic deformation; elastic foundation; initial
approximation; initial value problems; nonlinear
singularly perturbed vector; nonuniform computational
mesh; numerical methods; perturbation techniques;
physics computing; stiff systems; thin nonlinear
elastic beam; two-point boundary value problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Demmel:1984:URN,
author = "James Demmel",
title = "Underflow and the reliability of numerical software",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "887--919",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65G05",
MRnumber = "85m:65035",
MRreviewer = "G. Alefeld",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C5230 (Digital arithmetic methods)",
corpsource = "Div. of Comput. Sci., California Univ., Berkeley, CA,
USA",
keywords = "codes; digital arithmetic; eigenvalue calculation;
Gaussian elimination; gradual underflow; numerical
software; polynomial evaluation; reliability; roundoff;
roundoff errors; store zero; uncertainty; underflow
mechanisms",
treatment = "T Theoretical or Mathematical",
}
@Article{Addison:1984:CSF,
author = "C. A. Addison",
title = "A comparison of several formulas on lightly damped,
oscillatory problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "920--936",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (65L20)",
MRnumber = "86b:65066",
MRreviewer = "Kevin Burrage",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation);
C4170 (Differential equations)",
corpsource = "Dept. of Comput. Sci., Victoria Univ., BC, Canada",
keywords = "arithmetic operations; code; differential equations;
formula families; integration; integration step;
oscillatory problems; trial codes",
treatment = "T Theoretical or Mathematical",
}
@Article{Snider:1984:LSE,
author = "Arthur David Snider",
title = "Least squares estimation with quantized integrated
samples",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "937--945",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65U05 (62M99 94A12)",
MRnumber = "86g:65240",
MRreviewer = "Carl G. Looney",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1140Z (Other topics in statistics); C1260
(Information theory)",
corpsource = "Dept. of Math., South Florida Univ., Tampa, FL, USA",
keywords = "analogue-digital conversion; error estimates; least
squares estimation; linear function; noise; quantized
integrated samples; random noise; slope; statistical
analysis",
treatment = "T Theoretical or Mathematical",
}
@Article{Manoranjan:1984:NSG,
author = "V. S. Manoranjan and A. R. Mitchell and J. Ll.
Morris",
title = "Numerical solutions of the good {Boussinesq}
equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "946--957",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M60 (35Q20)",
MRnumber = "86d:65125",
MRreviewer = "W. F. Ames",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Dept. of Math. Sci., Dundee Univ., UK",
keywords = "Boussinesq equation; Galerkin methods; good Boussinesq
equation; numerical experiment; numerical methods;
numerical solutions; partial differential equations;
soliton solutions; two-soliton interaction",
treatment = "T Theoretical or Mathematical",
}
@Article{Baum:1984:FDS,
author = "Howard R. Baum and Ronald G. Rehm",
title = "Finite difference solutions for internal waves in
enclosures",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "958--977",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M10 (65M05 76V05)",
MRnumber = "86a:65088",
MRreviewer = "D. Schultz",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "accuracy; difference equations; enclosure fires;
enclosures; finite difference code; finite difference
solutions; flow simulation; internal waves; mode
frequencies; nonlinear buoyancy driven flows; partial
differential equations; physics computing; temporal
stability; time differencing",
treatment = "T Theoretical or Mathematical",
}
@Article{Jennings:1984:IMS,
author = "A. Jennings and M. A. Ajiz",
title = "Incomplete methods for solving ${A}^{\sf T}{Ax}=b$",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "978--987",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10 (65F20)",
MRnumber = "86a:65016",
MRreviewer = "Youcef Saad",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Dept. of Civil Eng., Queens Univ., Belfast, UK",
keywords = "Givens rotation; Gram-Schmidt; incomplete methods;
matrix algebra; numerical efficiencies; orthogonal
decompositions; structural analyses",
treatment = "T Theoretical or Mathematical",
}
@Article{George:1984:SSU,
author = "Alan George and Michael T. Heath and Esmond Ng",
title = "Solution of sparse underdetermined systems of linear
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "5",
number = "4",
pages = "988--997",
month = dec,
year = "1984",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50 (65F05)",
MRnumber = "86h:65058",
MRreviewer = "A. Bunse-Gerstner",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
keywords = "column updating; inconsistency; linear equations;
matrix; matrix algebra; minimum-norm solution;
orthogonal factorization; rank deficient; sparse
underdetermined systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Shampine:1985:GEE,
author = "L. F. Shampine and L. S. Baca",
title = "Global error estimates for {ODE}s based on
extrapolation methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "1--14",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (65-04)",
MRnumber = "86h:65105",
MRreviewer = "Hans J. Stetter",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "differential equations; efficiency; error analysis;
extrapolation; extrapolation methods; global error
estimates; initial value problem; initial value
problems; integration; mathematical software; midpoint
rule; ordinary differential equations; reliability;
true error estimates",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Levy:1985:TAG,
author = "A. V. Levy and A. Montalvo",
title = "The tunneling algorithm for the global minimization of
functions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "15--29",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C30 (65K05)",
MRnumber = "86e:90096",
MRreviewer = "Riho Lepp",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "cycle; function minimisation; global minimization;
iterative algorithm; iterative methods; minimisation;
nonlinear programming; tunneling algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Varah:1985:FEN,
author = "J. M. Varah",
title = "On fitting exponentials by nonlinear least squares",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "30--44",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62J02 (65D10)",
MRnumber = "86i:62130",
MRreviewer = "J{\"o}rg Polzehl",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "best least squares solution; continuous function;
curve fitting; discrete data; exponential fitting;
exponential functions; least squares approximations;
nonlinear least squares; nonuniqueness; sensitivity;
uniqueness",
treatment = "T Theoretical or Mathematical",
}
@Article{Dyksen:1985:SVN,
author = "Wayne R. Dyksen and John R. Rice",
title = "Symmetric versus nonsymmetric differencing",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "45--48",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05",
MRnumber = "86f:65175",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Div. of Math. Sci., Purdue Univ., West Lafayette, IN,
USA",
keywords = "asymmetric differencing; boundary-value problems;
difference equations; Dirichlet boundary conditions;
finite difference discretisation; nonsymmetric
differencing; partial differential equations;
self-adjoint elliptic problem; symmetric differencing;
symmetric discretisations; unit square",
treatment = "T Theoretical or Mathematical",
}
@Article{Mittelmann:1985:MSB,
author = "H. D. Mittelmann and H. Weber",
title = "Multi-grid solution of bifurcation problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "49--60",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H10 (65L15 65N25)",
MRnumber = "86c:65043",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); B0290P (Differential
equations); C4140 (Linear algebra); C4170 (Differential
equations)",
corpsource = "Abteilung Math., Dortmund Univ., West Germany",
keywords = "bifurcation problems; boundary-value problems;
continuation near turning points; continuation
strategy; eigenvalues and eigenfunctions; inverse
iteration type; iterative methods; multigrid solution;
nonlinear eigenvalue problems; solution curve
parametrisation; solution norm; two-dimensional
domains",
treatment = "T Theoretical or Mathematical",
}
@Article{Serbin:1985:SCS,
author = "Steven M. Serbin",
title = "Some cosine schemes for second-order systems of {ODE}s
with time-varying coefficients",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "61--68",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05",
MRnumber = "87k:65089",
MRreviewer = "Nabil R. Nassif",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximate starting procedure; cosine schemes;
differential equations; finite element
semidiscretisation; fourth-order accuracy; fourth-order
unconditionally stable Hairer method; function
approximation; locally fifth-order Taylor expansion;
ODEs; rational approximation; second-order hyperbolic
problems; second-order linear system; three-point
Hermitian expansion; time-varying coefficients;
time-varying systems; two-step fourth-order
approximation schemes",
treatment = "T Theoretical or Mathematical",
}
@Article{Brent:1985:SSV,
author = "Richard P. Brent and Franklin T. Luk",
title = "The solution of singular-value and symmetric
eigenvalue problems on multiprocessor arrays",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "69--84",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65W05 (65F15)",
MRnumber = "86i:65089",
MRreviewer = "Youcef Saad",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C5220 (Computer
architecture)",
corpsource = "Centre for Math. Analysis, Australian Nat. Univ.,
Canberra, ACT, Australia",
keywords = "computer architecture; eigenvalue decomposition;
eigenvalues and eigenfunctions; linear array; matrix
algebra; multiprocessor arrays; nearest-neighbour
communication; parallel Jacobi-like algorithms;
parallel processing; singular-value decomposition;
square array; symmetric eigenvalue problems; symmetric
matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Appel:1985:EPM,
author = "Andrew W. Appel",
title = "An efficient program for many-body simulation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "85--103",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "85-04",
MRnumber = "85m:85001",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "algorithmic changes; astrophysics; celestial
mechanics; code-tuning; computational complexity;
cosmology; data structure modifications; digital
simulation; gravitation; gravitational force field;
hardware modifications; many-body simulation; N-body
problems; particle interactions; physics computing;
programming; software; software engineering;
tree-structured Universe",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Colella:1985:DEM,
author = "Phillip Colella",
title = "A direct {Eulerian MUSCL} scheme for gas dynamics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "104--117",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M05 (76-08 76N15)",
MRnumber = "86g:65156",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4710 (General fluid dynamics theory, simulation and
other computational methods)",
corpsource = "Lawrence Berkeley Lab., California Univ., CA, USA",
keywords = "characteristic equations; direct Eulerian MUSCL
scheme; fluid dynamics; flux equations; gas dynamics;
gas flow; Godunov's method; Riemann problems; second
order extension; van Leer's MUSCL scheme",
treatment = "T Theoretical or Mathematical",
}
@Article{Kristiansen:1985:RUN,
author = "G. K. Kristiansen",
title = "A rootfinder using a nonmonotone rational
approximation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "118--127",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H05",
MRnumber = "86g:65095",
MRreviewer = "T. L. Freeman",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Riso Nat. Lab., Roskilde, Denmark",
keywords = "divided differences; function approximation;
interpolation; nonmonotone rational approximation;
polynomials; rootfinder",
treatment = "T Theoretical or Mathematical",
}
@Article{Asimov:1985:GTT,
author = "Daniel Asimov",
title = "The grand tour: a tool for viewing multidimensional
data",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "128--143",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62H30",
MRnumber = "86h:62087",
MRreviewer = "A. D. Gordon",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "computer graphics; grand tour; multidimensional data;
multivariate statistical data; orthogonal projections;
statistics; two-dimensional subspaces",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Mayo:1985:FHO,
author = "Anita Mayo",
title = "Fast high order accurate solution of {Laplace}'s
equation on irregular regions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "144--157",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N20",
MRnumber = "86i:65066",
MRreviewer = "A. V. Dzhishkariani",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "exterior regions; fast numerical solution; harmonic
function; integral equation formulation; integral
equations; interior regions; irregular regions;
Laplace's equation; multiconnected regions; partial
differential equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Isaacson:1985:NAS,
author = "D. Isaacson and E. L. Isaacson and D. Marchesin and P.
J. Paes-Leme",
title = "Numerical analysis of spectral properties of coupled
oscillator {Schr{\"o}dinger} operators. {III}. The
doubling algorithm",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "158--168",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "81C12 (81-08)",
MRnumber = "86g:81035",
MRreviewer = "Ernest R. Davidson",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "block-Lanczos methods; coupled anharmonic oscillators;
coupled oscillator Schrodinger operators; doubling
algorithm; eigenpairs; eigenvalues and eigenfunctions;
harmonic oscillators; inverse iteration; iterative
methods; lowest eigenvalues; preconditioned SYMMLQ;
recursive numerical algorithm; Schrodinger equation;
spectral analysis; spectral properties",
treatment = "T Theoretical or Mathematical",
}
@Article{Siegel:1985:UMC,
author = "Andrew F. Siegel and Fanny O'Brien",
title = "Unbiased {Monte Carlo} integration methods with
exactness for low order polynomials",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "169--181",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65C05 (65D30)",
MRnumber = "86d:65018",
MRreviewer = "Ryszard Zieli\'nski",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximation; error analysis; error variances;
exactness; function approximation; integration; low
order polynomials; Monte Carlo methods; polynomials;
sampling distribution; symmetric random designs;
two-dimensional multiple integration; unbiased
five-point method; unbiased Monte Carlo integration",
treatment = "T Theoretical or Mathematical",
}
@Article{Merriam:1985:FBT,
author = "Marshal L. Merriam",
title = "On the factorization of block-tridiagonals without
storage constraints",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "182--192",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (65W05)",
MRnumber = "86g:65062",
MRreviewer = "Henry Wolkowicz",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C4170 (Differential
equations); C4240 (Programming and algorithm theory)",
corpsource = "NASA Ames Res. Center, Moffett Field, CA, USA",
keywords = "block tridiagonal matrix; computational complexity;
difference equations; factorization; floating point
operations; matrix algebra; memory cells; parallel
processing; storage constraints; storage requirements;
trade-offs; vector processing",
treatment = "T Theoretical or Mathematical",
}
@Article{Le:1985:TNR,
author = "D. Le",
title = "Three new rapidly convergent algorithms for finding a
zero of a function",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "193--208",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H05 (90C30)",
MRnumber = "86b:65042",
MRreviewer = "W. M. Kincaid",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "bisection; convergence of numerical methods; function
evaluation; function zero finding; functions
evaluation; interpolation; iterative methods; nonlinear
equations; numerical solution; poles and zeros; rapidly
convergent algorithms",
treatment = "T Theoretical or Mathematical",
}
@Article{Clark:1985:MSH,
author = "D. I. Clark",
title = "The mathematical structure of {Huber}'s
${M}$-estimator",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "209--219",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62F35 (62J05)",
MRnumber = "86m:62066",
MRreviewer = "Joseph W. McKean",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximation theory; behaviour; defining function;
finite algorithm; Huber's M-estimator; L/sub 1/
estimator; linear algebra; mathematical structure;
maximum likelihood estimator; uniqueness",
treatment = "T Theoretical or Mathematical",
}
@Article{Concus:1985:BPC,
author = "P. Concus and G. H. Golub and G. Meurant",
title = "Block preconditioning for the conjugate gradient
method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "1",
pages = "220--252",
month = jan,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (65N20)",
MRnumber = "87c:65035a",
MRreviewer = "Ian Gladwell",
bibdate = "Sat Oct 28 08:43:45 2000",
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",
keywords = "block preconditioning; boundary value problem
discretisation; conjugate gradient method; elliptic
partial differential equations; incomplete block
Cholesky factorisations; iterative methods; linear
algebra; linear equations; partial differential
equations; positive definite block tridiagonal systems;
sparse approximate matrix inverses",
treatment = "T Theoretical or Mathematical",
}
@Article{Gourgeon:1985:CAO,
author = "Herv{\'e} Gourgeon and Jorge Nocedal",
title = "A conic algorithm for optimization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "253--267",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C30 (65K10)",
MRnumber = "86k:90119",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "conic algorithm; conic function; conjugate gradient
method; convergence of numerical methods; error bounds;
numerical stability; optimisation; optimization;
orthogonality properties",
treatment = "T Theoretical or Mathematical",
}
@Article{Diehr:1985:EBB,
author = "G. Diehr",
title = "Evaluation of a branch and bound algorithm for
clustering",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "268--284",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "branch and bound algorithm; lower bounds; mathematical
programming; objective function; optimal clustering;
pattern recognition; statistical analysis; within-group
sum-of-squares",
treatment = "T Theoretical or Mathematical",
}
@Article{Hariharan:1985:RSU,
author = "S. I. Hariharan and Alvin Bayliss",
title = "Radiation of sound from unflanged cylindrical ducts",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "285--296",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76Q05 (65M05 65W05)",
MRnumber = "86c:76041",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "acoustic field; acoustic noise; acoustic wave
propagation; aero-engine inlet; boundary conditions;
finite difference scheme; finite element analysis;
numerical simulation; plane waves; sound radiation;
spin modes; time harmonic solution; time-dependent
linearized Euler equations; turbofan engine; unflanged
cylindrical ducts",
treatment = "T Theoretical or Mathematical",
}
@Article{Brown:1985:EQN,
author = "Peter N. Brown and Alan C. Hindmarsh and Homer F.
Walker",
title = "Experiments with quasi-{Newton} methods in solving
stiff {ODE} systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "297--313",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (34A50 65M20)",
MRnumber = "86d:65083",
MRreviewer = "J. R. Cash",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "backward differentiation formulas; differential
equations; Doolittle LU updates; iterative methods;
nonlinear algebraic system; nonlinear systems;
numerical methods; ordinary differential equations;
quasi-Newton methods; sparse Jacobians; stiff ODE
systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Katz:1985:TSR,
author = "I. Norman Katz and Mark A. Franklin",
title = "Two strategies for root finding on multiprocessor
systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "314--333",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H10 (65W05)",
MRnumber = "86e:65072",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "contraction mapping; function evaluation; MIMD
computer system; multiprocessor systems; nonlinear
equation roots; nonlinear equations; numerical methods;
parallel computation; parallel numerical methods;
parallel processing; root finding algorithm; speed-up
function",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Campbell:1985:NSH,
author = "Stephen L. Campbell",
title = "The numerical solution of higher index linear time
varying singular systems of differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "334--348",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (34E05)",
MRnumber = "86e:65091",
MRreviewer = "David K. Kahaner",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "convergence of numerical methods; differential
equations; higher index linear time varying singular
systems; numerical examples; numerical methods; Taylor
series methods; time-varying systems",
treatment = "T Theoretical or Mathematical",
}
@Article{Bunch:1985:SMS,
author = "James R. Bunch",
title = "Stability of methods for solving {Toeplitz} systems of
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "349--364",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F30",
MRnumber = "87a:65073",
MRreviewer = "David R. Kincaid",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "convergence of numerical methods; matrix algebra; O(n
log/sup 2/n) algorithms; O(n/sup 2/) algorithms; Pade
approximation; partitioning; Toeplitz matrices;
Toeplitz systems",
treatment = "B Bibliography; T Theoretical or Mathematical",
}
@Article{Rossow:1985:BME,
author = "Vernon J. Rossow",
title = "On {Bartky}'s method for evaluation of integrals of
elliptic type with application to round-nosed wedges",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "365--375",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D30 (65E05 76-08)",
MRnumber = "86h:65028",
MRreviewer = "G. P. Bhattacharjee",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Bartky's method; elliptic integrals; integral
equations; integration; numerical integration;
round-nosed wedges",
treatment = "T Theoretical or Mathematical",
}
@Article{Anderson:1985:NSN,
author = "David H. Anderson and Eugene C. {Gartland, Jr.}",
title = "The numerical solution of a nonlinear system arising
in time series analysis",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "376--389",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H10 (65U05)",
MRnumber = "87a:65087",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "generating function factorization method; iterative
methods; nonlinear equations; nonlinear systems;
numerical methods; parameter estimation; sufficient
conditions; time series; time series analysis",
treatment = "T Theoretical or Mathematical",
}
@Article{George:1985:IGE,
author = "Alan George and Esmond Ng",
title = "An implementation of {Gaussian} elimination with
partial pivoting for sparse systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "390--409",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50 (65F05 65W05)",
MRnumber = "86e:65060",
MRreviewer = "Zahari Zlatev",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
keywords = "Cholesky factors; finite element analysis; Gaussian
elimination; linear equations; LU-decomposition; MA28;
matrix algebra; NSPIV; numerical computation; numerical
methods; partial pivoting; sparse nonsingular system;
SPARSPAK; triangular matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Osborne:1985:ATA,
author = "M. R. Osborne and G. A. Watson",
title = "An analysis of the total approximation problem in
separable norms, and an algorithm for the total
$\ell_1$ problem",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "410--424",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62J05 (65F20 90C15)",
MRnumber = "86j:62152",
MRreviewer = "Joseph W. McKean",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximation theory; data fitting; error matrix;
finite descent algorithm; linear regression problems;
matrix algebra; numerical results; separable norms;
total approximation problem; vector norm minimization
problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Greenstadt:1985:QQN,
author = "John Greenstadt",
title = "A {quasi-quasi-Newton} method for generating
{quasi-Choleski} factors",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "425--437",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "49D15 (49D37 65H05)",
MRnumber = "86d:49045",
MRreviewer = "Sven-{\AA}ke Gustafson",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "BFGS update; Choleski factors; covariant update
factor; iterative methods; minimisation; quasi-Newton
update factors; variational techniques",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1985:IMS,
author = "Tony F. Chan and Youcef Saad",
title = "Iterative methods for solving bordered systems with
applications to continuation methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "438--451",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (49D07)",
MRnumber = "86h:65038",
MRreviewer = "Fran{\c{c}}ois Robert",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "bordered systems; conjugate gradient; continuation
methods; eigenvalues; iterative methods; Krylov
subspaces; nonlinear elliptic problem; nonlinear
equations; numerical experiments; preconditioning;
symmetry",
treatment = "T Theoretical or Mathematical",
}
@Article{Adams:1985:SPC,
author = "Loyce Adams",
title = "$m$-step preconditioned conjugate gradient methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "452--463",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (49D07 65W05)",
MRnumber = "86h:65037",
MRreviewer = "Fran{\c{c}}ois Robert",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "CYBER 203; Finite Element Machine; iterative methods;
linear equations; parallel processing; positive
definite systems; preconditioned conjugate gradient
methods; SSOR PCG; symmetric successive
over-relaxation",
treatment = "T Theoretical or Mathematical",
}
@Article{Swarztrauber:1985:VHA,
author = "Paul N. Swarztrauber and Akira Kasahara",
title = "The vector harmonic analysis of {Laplace}'s tidal
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "464--491",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76B15 (35Q20 76-04 86A05)",
MRnumber = "86c:76008",
MRreviewer = "E. Cumberbatch",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "differential equations; geophysics computing; harmonic
analysis; Haurwitz modes; Hough harmonics; Hough vector
harmonics; Laplace tidal equations; linearized
shallow-water equations; modal analysis; shallow-water
equations; spherical vector harmonics; tides; vector
harmonic analysis; vectors; zonal rotational modes;
zonal wavenumber",
treatment = "T Theoretical or Mathematical",
}
@Article{deZeeuw:1985:CRM,
author = "P. M. {de Zeeuw} and E. J. {van Asselt}",
title = "The convergence rate of multi-level algorithms applied
to the convection-diffusion equation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "2",
pages = "492--503",
month = apr,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N20 (65F10 65N30 76R99)",
MRnumber = "86h:65169",
MRreviewer = "M. M. Sussman",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Math. Centre, Amsterdam, Netherlands",
keywords = "7-point ILU; artificial viscosity; coarse-grid
operators; convection; convection-diffusion equation;
convergence of numerical methods; convergence rate;
diffusion; finite element analysis; Galerkin
approximation; multi-level algorithms; partial
differential equations; relaxation procedures;
symmetric point Gauss-Seidel",
treatment = "T Theoretical or Mathematical",
}
@Article{Helstrom:1985:END,
author = "Carl W. Helstrom and James A. Ritcey",
title = "Evaluation of the noncentral {$F$}-distribution by
numerical contour integration",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "505--514",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65U05 (62E15 65R10)",
MRnumber = "87e:65089",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "covariance; Laplace transforms; Laplace's method;
linear hypotheses; noncentral F-distribution; numerical
contour integration; numerical methods; power function;
secant method; variance",
treatment = "T Theoretical or Mathematical",
}
@Article{Brown:1985:TDM,
author = "David L. Brown and Luis Guillermo M. Reyna",
title = "A two-dimensional mesh refinement method for problems
with one-dimensional singularities",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "515--531",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M50",
MRnumber = "86j:65127",
MRreviewer = "Ji{\v{r}}{\'i} H{\v{r}}eb{\'i}{\v{c}}ek",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "ADI method; computational mesh; differential
equations; interpolation; interpolation procedure;
one-dimensional singularities; singular features; two
space dimensions; two-dimensional mesh refinement
method",
treatment = "T Theoretical or Mathematical",
}
@Article{Hairer:1985:FNS,
author = "E. Hairer and Ch. Lubich and M. Schlichte",
title = "Fast numerical solution of nonlinear {Volterra}
convolution equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "532--541",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65R20 (45D05 45L10)",
MRnumber = "86j:65180",
MRreviewer = "John M. Bownds",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "fast Fourier transform techniques; fast Fourier
transforms; fast numerical convolution; integral
equations; nonlinear Volterra convolution equations;
numerical methods; O( n/sup 2/) kernel evaluations;
Runge-Kutta methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Reinelt:1985:PFV,
author = "D. A. Reinelt and P. G. Saffman",
title = "The penetration of a finger into a viscous fluid in a
channel and tube",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "542--561",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76-08 (76D99)",
MRnumber = "87a:76015",
MRreviewer = "Bruce A. Finlayson",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "axisymmetric problems; curvilinear grid; finger; flow;
fluid dynamics; iterative methods; least squares
approximations; low Reynolds number flow; nonlinear
squares iteration method; normal-stress boundary
condition; rectilinear grid; singular perturbation
solution; steady-state shape; Stokes equations;
two-dimensional problems; viscous fluid",
treatment = "T Theoretical or Mathematical",
}
@Article{Luk:1985:MMF,
author = "Franklin T. Luk",
title = "On the minres method of factor analysis",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "562--572",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62H25",
MRnumber = "86j:62137",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput. Sci., Cornell Univ., Ithaca, NY,
USA",
keywords = "convergence properties; factor analysis; least squares
approximations; minres method; off-diagonal residuals",
treatment = "T Theoretical or Mathematical",
}
@Article{Narula:1985:BBP,
author = "Subhash C. Narula and John F. Wellington",
title = "A branch and bound procedure for selection of
variables in minimax regression",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "573--581",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62J05",
MRnumber = "791 186",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "bound procedure; branch procedure; choice rule;
fathoming test; least squares approximations; linear
programming; linear programming formulation; maximum
weighted absolute error criterion; minimisation;
minimization; multiple linear regression model;
preoptimality test",
treatment = "T Theoretical or Mathematical",
}
@Article{Potempa:1985:NMT,
author = "Thom Potempa",
title = "A numerical model of two-dimensional, two-component,
single phase miscible displacement in a porous medium",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "582--598",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76S05 (76-08)",
MRnumber = "86e:76057",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math. Sci., Rice Univ., Houston, TX, USA",
keywords = "computational implementation; data structures;
differential equations; finite difference models; grid
orientation effect; material balance; maximum
principle; numerical model; numerical procedure; porous
medium; single phase miscible displacement; upstream
weighting",
treatment = "T Theoretical or Mathematical",
}
@Article{Nash:1985:PTN,
author = "Stephen G. Nash",
title = "Preconditioning of truncated-Newton methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "599--616",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65K10 (49D15)",
MRnumber = "86i:65035",
MRreviewer = "A. G. Shannon",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Hessian matrix; iterative methods; large-scale
unconstrained minimization problems; numerical tests;
optimisation; outer nonlinear algorithm;
preconditioning; scaling strategies; truncated-Newton
methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Schwandt:1985:SNE,
author = "Hartmut Schwandt",
title = "The solution of nonlinear elliptic {Dirichlet}
problems on rectangles by almost globally convergent
interval methods",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "617--638",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N20 (65G10)",
MRnumber = "86k:65108",
MRreviewer = "G. Maess",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Tech. Univ., Berlin, West Germany",
keywords = "almost globally convergent interval methods;
discretizations; fast direct solvers; interval
arithmetic; Newton-like interval method; nonlinear
block SOR method; nonlinear elliptic Dirichlet
problems; nonlinear elliptic equations; nonlinear
equations; partial differential equations; rectangles",
treatment = "T Theoretical or Mathematical",
}
@Article{Jespersen:1985:AIP,
author = "Dennis C. Jespersen and Pieter G. Buning",
title = "Accelerating an iterative process by explicit
annihilation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "639--651",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65B05 (65F15)",
MRnumber = "86g:65013",
MRreviewer = "Thomas A. Atchison",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "accelerating process; compressible flow; compressible
inviscid gas dynamics; dominant eigenvector component;
eigenvalues and eigenfunctions; explicit annihilation;
explicit Richardson process; implicit algorithm;
iterative methods; iterative process; nonlinear
problem; slowly convergent stationary iterative
process; transonic flow; two-dimensional steady
transonic flow",
treatment = "T Theoretical or Mathematical",
}
@Article{Conrad:1985:NAS,
author = "Francis Conrad and Claudine Schmidt-Lain{\'e}",
title = "Numerical and asymptotic study of a system of coupled
diffusion and reaction equations arising in enzyme
kinetics",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "652--669",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N99 (92A09)",
MRnumber = "86j:65171",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "asymptotic study; concentration; continuation
technique; coupled diffusion; enzyme kinetics; enzyme
membrane; numerical methods; numerical study; optimal
control; proteins; reaction equations; substrate;
temperature",
treatment = "T Theoretical or Mathematical",
}
@Article{Pierce:1985:CLS,
author = "Jane E. Pierce and Bert W. Rust",
title = "Constrained least squares interval estimation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "670--683",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65K10 (93E10)",
MRnumber = "86h:65093",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "a priori side constraints; classical least squares
method; confidence intervals; integral equations; least
squares approximations; quadratic programming; rank
deficient case; ridge regression; suboptimal method",
treatment = "T Theoretical or Mathematical",
}
@Article{Hall:1985:SCS,
author = "G. Hall and M. B. Suleiman",
title = "A single code for the solution of stiff and nonstiff
{ODE's}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "684--697",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (65-04 65V05)",
MRnumber = "86g:65129",
MRreviewer = "L. Berg",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Manchester Univ., UK",
keywords = "Adams formulae; automatic tests; backward
differentiation formulae; codes; differential
equations; nonstiff ODEs; ordinary differential
equations; partitioning; single code; stiff ODEs",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1985:PNM,
author = "Tony F. Chan and Robert Schreiber",
title = "Parallel networks for multi-grid algorithms:
architecture and complexity",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "698--711",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65W05 (65N20)",
MRnumber = "86h:65205",
MRreviewer = "S. F. McCormick",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "algorithm parameters; computational complexity;
computer networks; elliptic difference equations;
multigrid algorithms; parallel networks; parallel
processing; special purpose computing networks;
systolic arrays",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Eriksson:1985:PTD,
author = "Lars-Erik Eriksson",
title = "Practical three-dimensional mesh generation using
transfinite interpolation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "712--741",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N50 (65D05)",
MRnumber = "86g:65224",
MRreviewer = "Ian Gladwell",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "computational complexity; computational procedure;
interpolation; normal derivatives; O-O type;
three-dimensional mesh generation; transfinite
interpolation",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1985:CES,
author = "Tony F. Chan and Faisal Saied",
title = "A comparison of elliptic solvers for general
two-dimensional regions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "742--760",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N20",
MRnumber = "86h:65162",
MRreviewer = "Lubor Malina",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "capacitance matrix techniques; elliptic solvers; fluid
dynamics; general two-dimensional regions; multi-grid
techniques; numerical experiments; preconditioned
conjugate gradient techniques; sparse matrix
techniques; storage requirements",
treatment = "T Theoretical or Mathematical",
}
@Article{Nour-Omid:1985:EPU,
author = "B. Nour-Omid and B. N. Parlett",
title = "Element preconditioning using splitting techniques",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "761--770",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (49D07 65N20)",
MRnumber = "86h:65046",
MRreviewer = "Beny Neta",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Center for Pure and Appl. Math., California Univ.,
Berkeley, CA, USA",
keywords = "assembly process; boundary-value problems; code;
conjugate gradient algorithm; element preconditioning;
elliptic boundary value problems; finite element
analysis; large symmetric systems; splitting
techniques",
treatment = "T Theoretical or Mathematical",
}
@Article{Verwer:1985:GEF,
author = "J. G. Verwer and H. B. {de Vries}",
title = "Global extrapolation of a first order splitting
method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "771--780",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M20",
MRnumber = "791 198",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "extrapolation; first order splitting method; global
Richardson extrapolation; multi-space dimensional
parabolic partial differential equations; numerical
solution; partial differential equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Langberg:1985:USS,
author = "Naftali Langberg and Nozer D. Singpurwalla",
title = "A unification of some software reliability models",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "781--790",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62N05 (68M15)",
MRnumber = "86j:62224",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C6100 (Software techniques and systems)",
corpsource = "Tel Aviv Univ., Israel",
keywords = "Bayes methods; Bayesian statistics; Jelinski-Moranda
model; shock models; software reliability; software
reliability models; stochastic inequalities;
unification",
treatment = "T Theoretical or Mathematical",
}
@Article{Concus:1985:CBP,
author = "P. Concus and G. H. Golub and G. Meurant",
title = "Corrigendum: {``Block preconditioning for the
conjugate gradient method''}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "3",
pages = "791--791",
month = jul,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (65N20)",
MRnumber = "87c:65035b",
MRreviewer = "Ian Gladwell",
bibdate = "Sat Oct 28 08:44:03 2000",
note = "See \cite{Concus:1985:BPC}.",
acknowledgement = ack-nhfb,
}
@Article{Glowinski:1985:CCG,
author = "R. Glowinski and H. B. Keller and L. Reinhart",
title = "Continuation-conjugate gradient methods for the least
squares solution of nonlinear boundary value problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "793--832",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (49D07 65H10 76D05)",
MRnumber = "86j:65156",
MRreviewer = "I. Norman Katz",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4150 (Nonlinear and functional equations)",
corpsource = "Paris VI Univ., France",
keywords = "1D Bratu problem; 2D Bratu problem; bifurcation
points; boundary-value problems; continuation methods;
driven cavity problem; finite element analysis; finite
element approximations; least squares approximations;
least squares formulations; limit points; Navier-Stokes
equations; nonlinear boundary value problems; nonlinear
equations; one-dimensional bifurcation; perturbed
bifurcation; preconditioned conjugate gradient
algorithms",
treatment = "T Theoretical or Mathematical",
}
@Article{Seidl:1985:NCM,
author = "Albert Seidl and Helmut Klose",
title = "Numerical conformal mapping of a towel-shaped region
onto a rectangle",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "833--842",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "30C30 (30C20 30C60 65N45)",
MRnumber = "86k:30007",
MRreviewer = "Charles Saltzer",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Inst. fur Festkorpertechnol., Munchen, West Germany",
keywords = "coupled Laplace equations; field calculations; finite
difference method; nearly rectangular domain; numerical
conformal mapping; partial differential equations;
rectangular mapping; towel-shaped region",
treatment = "T Theoretical or Mathematical",
}
@Article{Cockburn:1985:NRM,
author = "Bernardo Cockburn",
title = "Numerical resolution of {Maxwell}'s equations in
polarisable media at radio and lower frequencies",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "843--852",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "86A20 (65P05 78A25)",
MRnumber = "86i:86006",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "convolution term; electromagnetic wave propagation;
electromagnetism; geomagnetism; geophysical
prospecting; low frequency electromagnetic wave
propagation; Maxwell's equations; numerical methods;
polarisable medium; RF EM wave propagation; terrestrial
electricity; wave equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Stewart:1985:JLA,
author = "G. W. Stewart",
title = "A {Jacobi}-like algorithm for computing the {Schur}
decomposition of a {nonHermitian} matrix",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "853--864",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (65W05)",
MRnumber = "86j:65047",
MRreviewer = "Cs. J. Heged{\H{u}}s",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Maryland Univ., College Park,
MD, USA",
keywords = "Hermitian matrix; iterative method; iterative methods;
Jacobi-like algorithm; matrix algebra; nonHermitian
matrix; off-diagonal elements; parallel implementation;
parallel processing; plane rotations; Schur
decomposition; unitary similarity transformations;
upper triangular form",
treatment = "T Theoretical or Mathematical",
}
@Article{Saad:1985:PUP,
author = "Youcef Saad",
title = "Practical use of polynomial preconditionings for the
conjugate gradient method",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "865--881",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (65W05)",
MRnumber = "86h:65048",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "conjugate gradient algorithm; discretisations; large
sparse linear systems; linear algebra; parallel
architectures; parallel processing; partial
differential equations; polynomial preconditioning;
polynomials; symmetric positive definite matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{George:1985:ASM,
author = "Alan George and Hamza Rashwan",
title = "Auxiliary storage methods for solving finite element
systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "882--910",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (65F50 65N30 65W05)",
MRnumber = "87g:65042",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C4240 (Programming and
algorithm theory)",
corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
keywords = "auxiliary storage; band method; Cholesky method;
computational complexity; computationally complexity;
finite element analysis; incomplete nested dissection;
input/output traffic; large sparse symmetric matrix;
linear algebra; linear equations; partitioning;
positive definite matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Solomon:1985:NSB,
author = "A. D. Solomon and V. Alexiades and D. G. Wilson",
title = "A numerical simulation of a binary alloy
solidification process",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "911--922",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "80A20",
MRnumber = "86j:80008",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "alloys; binary alloy solidification process;
dendrites; dendritic growth; mushy zone; numerical
methods; numerical simulation; solidification",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Sanz-Serna:1985:SNN,
author = "J. M. Sanz-Serna",
title = "Studies in numerical nonlinear instability. {I}. Why
do leapfrog schemes go unstable?",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "923--938",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M10",
MRnumber = "86h:65138",
MRreviewer = "J. T. Oden",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. de Ecuaciones Funcionales, Valladolid Univ.,
Spain",
keywords = "convergence of numerical methods; explicit midpoint
discretisations; leapfrog discretisations; numerical
nonlinear instability; partial differential equations;
qualitative behaviour; unbounded solutions",
treatment = "T Theoretical or Mathematical",
}
@Article{Gupta:1985:DES,
author = "Gopal K. Gupta",
title = "Description and evaluation of a stiff {ODE} code
{DSTIFF}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "939--950",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (65-04)",
MRnumber = "86j:65086",
MRreviewer = "David R. Hill",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "differential equations; DSTIFF; least squares
approximations; least squares multistep formulae;
software packages; stiff ordinary differential
equations; subroutines",
treatment = "X Experimental",
}
@Article{Decker:1985:ECD,
author = "D. W. Decker and C. T. Kelley",
title = "Expanded convergence domains for {Newton}'s method at
nearly singular roots",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "951--966",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65J15",
MRnumber = "86j:65068",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "accelerated convergence; convergence of numerical
methods; functional equations; nearly singular roots;
Newton's method; nonlinear equations; nonlinear
functional equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Delbourgo:1985:SPP,
author = "R. Delbourgo and J. A. Gregory",
title = "Shape preserving piecewise rational interpolation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "967--976",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D05 (65D07)",
MRnumber = "86m:65012",
MRreviewer = "Yury Girshovich",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "C/sup 1/ piecewise rational cubic function; error
analysis; interpolation; monotonic rational quadratic
interpolant; piecewise rational interpolation; rational
cubic form; shape preserving interpolation",
treatment = "T Theoretical or Mathematical",
}
@Article{Schuster:1985:ONE,
author = "Eugene F. Schuster",
title = "On overwhelming numerical evidence in the settling of
{Kinney}'s waiting-time conjecture",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "977--982",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "60C05 (60-04 62E15)",
MRnumber = "86m:60031",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1140Z (Other topics in statistics); C7310
(Mathematics computing)",
corpsource = "Dept. of Math. Sci., Texas Univ., El Paso, TX, USA",
keywords = "asymptotic logarithmic form; coin tossing; expected
value; independent identically distributed geometrics;
Kinney's waiting-time conjecture; maximum; overwhelming
numerical evidence; probability; statistics",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Moret:1985:MST,
author = "B. M. E. Moret and H. D. Shapiro",
title = "On minimizing a set of tests",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "983--1003",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximate solutions; biological identification;
bounding; computational complexity; discrimination
power; fault diagnosis; fault location; fault testing;
heuristic programming; heuristics; identification;
identification problems; minimisation; minimum test set
problem; NP-hard problems; optimal solution methods;
pattern recognition; statistical analysis; testing;
worst-case behavior",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{McDonald:1985:CEDa,
author = "J. A. McDonald and J. Pedersen",
title = "Computing environments for data analysis. {I}.
Introduction",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "1004--1012",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1140Z (Other topics in statistics); C7310
(Mathematics computing)",
corpsource = "Dept. of Stat., Stanford Univ., CA, USA",
keywords = "batch computers; batch or time-sharing computers;
computer facilities; data analysis; graphics
workstation network; interactive data analysis;
interactive systems; modern computing environments;
statistical analysis; statistical data analysis",
treatment = "G General Review; P Practical",
}
@Article{McDonald:1985:CEDb,
author = "J. A. McDonald and J. Pedersen",
title = "Computing environments for data analysis. {II}.
Hardware",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "1013--1021",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "computer facilities; computer graphic equipment; data
analysis; data analysis research; graphics workstation
evaluation; graphics workstation network, batch
computers; graphics workstation selection; hardware;
interactive data analysis; interactive systems; modern
computing environments; statistical analysis;
statistical data analysis; time-sharing computers;
workstations",
treatment = "G General Review; P Practical",
}
@Article{Kane:1985:ALD,
author = "V. E. Kane and R. C. Ward and G. J. Davis",
title = "Assessment of linear dependencies in multivariate
data",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "1022--1032",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62H20",
MRnumber = "801 186",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0240Z (Other topics in statistics); C1140Z (Other
topics in statistics)",
corpsource = "Ford Motor Co., Dearborn, MI, USA",
keywords = "centred data matrix; dependency coefficients;
discriminant analysis; factor analysis; linear
dependency analysis; multivariate data; principal
component analysis; regression; right singular vectors;
sample correlation matrix eigenvalues; scaled data
matrix; singular value decomposition; statistical
analysis",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Wright:1985:ANL,
author = "S. J. Wright and J. N. Holt",
title = "Algorithms for nonlinear least squares with linear
inequality constraints",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "1033--1048",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65K10 (49D37 90C15)",
MRnumber = "86m:65074",
MRreviewer = "M. M. Flood",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "active constraints; approximate minimiser; circular
region of trust; exponential data-fitting problem;
general linear inequality constraints; iteration;
iterative methods; least squares approximations;
Levenberg-Marquardt method; nonlinear least squares
problems; unconstrained linear least squares problem",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Saad:1985:SED,
author = "Y. Saad and A. Sameh and P. Saylor",
title = "Solving elliptic difference equations on a linear
array of processors",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "6",
number = "4",
pages = "1049--1063",
month = oct,
year = "1985",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65W05 (65N20)",
MRnumber = "86h:65209",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "algorithmic performance; Chebyshev approximation;
computational complexity; cyclic Chebyshev
semiiterative scheme; difference equations; generalised
Chebyshev method; interprocessor communication cost;
iterative methods; linear processor array; linearly
connected processors; multiprocessing programs;
multiprocessor; parallel processing; partial
differential equations; pipeline processing;
preconditioned conjugate gradient method; self-adjoint
elliptic difference equations",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Shore:1986:SGA,
author = "H. Shore",
title = "Simple general approximations for a random variable
and its inverse distribution function based on linear
transformations of a nonskewed variate",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "1--23",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0240Z (Other topics in statistics); B0290F
(Interpolation and function approximation); C1140Z
(Other topics in statistics); C4130 (Interpolation and
function approximation)",
keywords = "explicit inverse cumulative density function; function
approximation; hypothesis testing; interval estimation;
inventory analysis; inverse distribution function;
linear normal approximations; linear transformations;
loss function; nonskewed random variable; Poisson
distribution; probability; random processes; simple
general approximations; statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{Fishman:1986:EAM,
author = "George S. Fishman and Louis R. {Moore, III}",
title = "An exhaustive analysis of multiplicative congruential
random number generators with modulus $2^{31}-1$",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "24--45",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65C10",
MRnumber = "87g:65010a",
MRreviewer = "A. S. Rasulov",
bibdate = "Sat Oct 28 08:44:48 2000",
note = "See erratum \cite{Fishman:1986:EEA}.",
acknowledgement = ack-nhfb,
classification = "C1140Z (Other topics in statistics); C1160
(Combinatorial mathematics); C7310 (Mathematics
computing)",
corpsource = "North Carolina Univ., Chapel Hill, NC, USA",
keywords = "linear congruential generators; multiplicative
congruential random number generators; number theory;
optimal full period multipliers; optimal multipliers;
performance evaluation; prime modulus 2/sup 31/-1;
random number generation; worst case performance
measures",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Chernoff:1986:NSB,
author = "Herman Chernoff and A. John Petkau",
title = "Numerical solutions for {Bayes} sequential decision
problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "46--59",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62L10",
MRnumber = "819 456",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0240E (Game theory); B0290P (Differential
equations); C1140E (Game theory); C4170 (Differential
equations)",
corpsource = "Stat. Center, MIT, Cambridge, MA, USA",
keywords = "backward induction; Bayes methods; Bayes sequential
decision problems; boundary-value problems; continuity
corrections; decision theory; free boundary problems;
function approximation; heat equation; heat transfer;
monotone boundaries; normal random variables; numerical
methods; numerical solution; one-sided boundaries;
optimal stopping problems; partial differential
equations; rough approximations; symmetric boundaries;
truncated procedures",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Kuo:1986:CMD,
author = "Lynn Kuo",
title = "Computations of mixtures of {Dirichlet} processes",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "60--71",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62-04",
MRnumber = "819 457",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "a posteriori error bound; a priori error bound; Bayes
estimators; Bayes methods; Dirichlet process mixtures;
error analysis; importance sampling Monte Carlo method;
jackknife error estimators; Monte Carlo methods;
multidimensional-integral ratios;
one-dimensional-integral products; random group error
estimates; weighted average",
treatment = "T Theoretical or Mathematical",
}
@Article{Clark:1986:FAH,
author = "D. I. Clark and M. R. Osborne",
title = "Finite algorithms for {Huber}'s ${M}$-estimator",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "72--85",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62J05 (62F35 65F20 65U05)",
MRnumber = "87h:62116",
MRreviewer = "Wolfgang Wetterling",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "algorithm theory; constructive procedures;
continuation parameter; finite algorithms; Huber's
M-estimator; parameter estimation; scaling factor;
tuning constant",
treatment = "T Theoretical or Mathematical",
}
@Article{Shanno:1986:NMR,
author = "David F. Shanno and David M. Rocke",
title = "Numerical methods for robust regression: linear
models",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "86--97",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62J05 (62F35 65F20)",
MRnumber = "87f:62130",
MRreviewer = "Wolfgang Wetterling",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "auxiliary scale estimate; biweight loss function;
Huber loss function; Huber-Dutter algorithm; iterative
methods; iteratively reweighted least squares method;
large residuals; least squares approximations; linear
models; median absolute residual; Newton's method;
numerical methods; robust regression; statistical
analysis; superlinear convergence; Winsorized residual
variance",
treatment = "T Theoretical or Mathematical",
}
@Article{Bozzini:1986:NMO,
author = "Mira Bozzini and Flavia {de Tisi} and Licia
Lenarduzzi",
title = "A new method in order to determine the most
significant members within a large sample, in problems
of surface approximation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "98--104",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62G05 (62-07)",
MRnumber = "819 460",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "domains of influence; function approximation; local
analysis; most significant members; statistical
analysis; subsample determination, significance
hierarchy; surface approximation",
treatment = "T Theoretical or Mathematical",
}
@Article{Womersley:1986:CDL,
author = "R. S. Womersley",
title = "Censored discrete linear $\ell_1$ approximation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "105--122",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C30 (62J07)",
MRnumber = "87i:90265",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "censored linear l/sub 1/ approximation problem;
discrete approximation; function approximation;
generalised gradient; linear programming; minimisation;
nonconvex piecewise linear function minimisation;
reduced gradient algorithm; regression models;
restricted dependent-variable range; stable finite
direct descent method; statistical analysis; strict
local minimiser",
treatment = "T Theoretical or Mathematical",
}
@Article{Cybenko:1986:CME,
author = "George Cybenko and Charles {Van Loan}",
title = "Computing the minimum eigenvalue of a symmetric
positive definite {Toeplitz} matrix",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "123--131",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (94A12)",
MRnumber = "87b:65042",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math., Tufts Univ., Medford, MA, USA",
keywords = "bisection; eigenvalues and eigenfunctions;
Levinson-Durbin algorithm; matrix algebra; minimum
eigenvalue; Newton's method; smallest eigenvalue;
symmetric positive definite Topelitz matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Streit:1986:SSC,
author = "Roy L. Streit",
title = "Solution of systems of complex linear equations in the
$\ell_\infty$ norm with constraints on the unknowns",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "132--149",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (49D39 65K05 90C50)",
MRnumber = "87h:65054",
MRreviewer = "Uwe Zimmermann",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Chebyshev approximation; Chebyshev norm; complex
function approximation; complex linear equations;
computation time; computer storage requirements; convex
constraints; function approximation; l/sub infinity /
norm; linear algebra; linear program; linear
programming; maximum magnitude residual",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Higham:1986:EAC,
author = "Nicholas J. Higham",
title = "Efficient algorithms for computing the condition
number of a tridiagonal matrix",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "150--165",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F35 (65F05)",
MRnumber = "87b:65053",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra);
C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Math., Manchester Univ., UK",
keywords = "computational complexity; condition number; LINPACK
routine; matrix algebra; positive definite tridiagonal
linear system; SPTSL; tridiagonal matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Barlow:1986:NMS,
author = "J. L. Barlow",
title = "A note on monitoring the stability of triangular
decomposition of sparse matrices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "166--168",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F05 (65F50)",
MRnumber = "87d:65030",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Pennsylvania State Univ.,
University Park, PA, USA",
keywords = "computational cost; convergence of numerical methods;
Gaussian elimination; linear algebra; numerical
instability bounds; numerical stability monitoring;
sparse matrices; triangular decomposition",
treatment = "T Theoretical or Mathematical",
}
@Article{Flury:1986:ASO,
author = "Bernhard N. Flury and Walter Gautschi",
title = "An algorithm for simultaneous orthogonal
transformation of several positive definite symmetric
matrices to nearly diagonal form",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "169--184",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F30 (62H25)",
MRnumber = "87g:65061",
MRreviewer = "John Todd",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "characteristic vectors; common principal components;
iterative algorithm; iterative methods; matrix algebra;
maximum likelihood estimates; nearly diagonal form;
positive definite symmetric matrices; simultaneous
orthogonal transformation; statistical analysis",
treatment = "T Theoretical or Mathematical",
}
@Article{Kaagstrom:1986:RAC,
author = "Bo K{\aa}gstr{\"o}m",
title = "{RGSVD}---an algorithm for computing the {Kronecker}
structure and reducing subspaces of singular
${A}-\lambda {B}$ pencils",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "185--211",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F30 (15A22)",
MRnumber = "87b:65050",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "cosine-sine decompositions; equivalence
transformations; infinite eigenvalues; iterative
methods; Kronecker canonical form; Kronecker structure;
matrix algebra; matrix pencil; partitioned orthonormal
matrices; reducing subspaces; reiterating generalised
singular value decomposition; RGSVD; right Kronecker
indices; zero eigenvalues; zero structure",
treatment = "T Theoretical or Mathematical",
}
@Article{Byers:1986:HA,
author = "Ralph Byers",
title = "A {Hamiltonian} ${\rm {QR}}$ algorithm",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "212--229",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F25",
MRnumber = "87e:65025",
MRreviewer = "R. P. Tewarson",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "convergence acceleration; convergence of numerical
methods; Hamiltonian matrices; Hamiltonian Q R
algorithm; Hamiltonian-Schur decomposition;
Hessenberg-like condensed form; implicit double shift
technique; iteration; iterative methods; matrix
algebra; numerical stability; optimal control; permuted
triangular matrix; scalar shift; single input control
systems; unitary symplectic similarity transformations;
variant Q R algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Glimm:1986:FTA,
author = "J. Glimm and O. McBryan and R. Menikoff and D. H.
Sharp",
title = "Front tracking applied to {Rayleigh-Taylor}
instability",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "230--251",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76E15 (76-08)",
MRnumber = "87c:76065",
MRreviewer = "Ky{\^u}ya Masuda",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "fingering instability; flow instability; front
tracking; heterogeneity; numerical solution; partial
differential equations; Rayleigh-Taylor instability;
sharp interfaces; two-fluid incompressible Euler
equation; zero numerical diffusion",
treatment = "T Theoretical or Mathematical",
}
@Article{Marshall:1986:FTM,
author = "Guillermo Marshall",
title = "A front tracking method for one-dimensional moving
boundary problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "252--263",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M99 (76-08 76T05)",
MRnumber = "87c:65127",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A0560
(Transport processes: theory)",
corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA",
keywords = "front tracking method; heat transfer; implicit time
discretisation; initial value problems; numerical
solution; one-dimensional moving boundary problems;
one-dimensional Stafan problems; ordinary differential
initial-value problem; parabolic partial differential
equation; partial differential equations;
predictor-corrector methods; predictor-corrector
scheme; temperature distribution; variable time step
procedure",
treatment = "T Theoretical or Mathematical",
}
@Article{Hennart:1986:GFN,
author = "J. P. Hennart",
title = "A general family of nodal schemes",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "264--287",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (82A75)",
MRnumber = "87a:65181",
MRreviewer = "A. O. Garder",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "alternating direction; convergence; convergence of
numerical methods; difference equations; finite
difference methods; finite element analysis;
integration; nodal schemes; nonconforming finite
element framework; numerical quadrature; partial
differential equations; transverse integration",
treatment = "T Theoretical or Mathematical",
}
@Article{Phillips:1986:FDS,
author = "T. N. Phillips and M. E. Rose",
title = "A finite difference scheme for the equilibrium
equations of elastic bodies",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "288--300",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N05 (73-08)",
MRnumber = "87b:65170",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0260 (Numerical approximation and analysis); A0340D
(Mathematical theory of elasticity)",
corpsource = "ICASE, NASA Langely Res. Center, Hampton, VA, USA",
keywords = "difference equations; direct methods; elastic bodies;
elasticity; equilibrium equations; finite difference
scheme; first order system; iterative techniques;
partial differential equations; PDEs",
treatment = "T Theoretical or Mathematical",
}
@Article{Smooke:1986:FAS,
author = "M. D. Smooke and M. L. Koszykowski",
title = "Fully adaptive solutions of one-dimensional mixed
initial-boundary value problems with applications to
unstable problems in combustion",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "301--321",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M10 (80A25)",
MRnumber = "87c:65113",
MRreviewer = "M. M. Sussman",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4110 (Error analysis in numerical methods); C4170
(Differential equations)",
corpsource = "Dept. of Mech. Eng., Yale Univ., New Haven, CT, USA",
keywords = "adaptive grid methods; combustion; difference
equations; error analysis; finite difference method;
fully adaptive method; initial value problems; local
error per unit step; one-dimensional mixed
initial-boundary value problems; partial differential
equations; time differencing method; tolerance;
unstable problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Pruess:1986:ISC,
author = "Steven Pruess",
title = "Interpolation schemes for collocation solutions of
two-point boundary value problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "322--333",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10",
MRnumber = "87j:65093",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "accuracy; boundary-value problems; collocation
solutions; convergence; convergence of numerical
methods; differential equations; Gauss-Legendre
colocation algorithm; interpolate superconvergent
values; interpolation; interpolatory approximations;
number of operations; spline interpolation; stability;
storage requirements; two point boundary value
problems",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Watts:1986:SIA,
author = "H. A. Watts and L. F. Shampine",
title = "Smoother interpolants for {Adams} codes",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "334--345",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (65D05)",
MRnumber = "87h:65123",
MRreviewer = "M. M. Chawla",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Adams codes; differential equations; globally
continuous approximations; initial value problems;
interpolation; mathematical continuity; ODE methods;
past values; polynomial interpolants; smooth
interpolation",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Dongarra:1986:IDL,
author = "Jack J. Dongarra and Tom Hewitt",
title = "Implementing dense linear algebra algorithms using
multitasking on the {Cray X-MP-4} (or approaching the
gigaflop)",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "347--350",
month = jan,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65W05 (65Fxx)",
MRnumber = "87c:65170",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C7310 (Mathematics
computing)",
corpsource = "Div. of Math. and Comput. Sci., Argonne Nat. Lab., IL,
USA",
keywords = "Cholesky decomposition; Cray X-MP-4; dense linear
algebra algorithms; L U decomposition; linear algebra;
multiprogramming; small-grain multitasking",
treatment = "X Experimental",
}
@Article{Yang:1986:DMC,
author = "Zhong Hua Yang and H. B. Keller",
title = "A direct method for computing higher order folds",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "351--361",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "58C27 (65J15 80A25)",
MRnumber = "87h:58023",
MRreviewer = "J{\"u}rgen Scheurle",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "direct method; higher order folds computing; nonlinear
equations; parameter-dependent nonlinear problems;
thermal ignition problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Shearer:1986:NAA,
author = "J. M. Shearer and M. A. Wolfe",
title = "A note on the algorithm of {Alefeld} and
{Platz{\"o}der} for systems of nonlinear equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "362--369",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65H10 (47H17)",
MRnumber = "87j:65063",
MRreviewer = "A. M. Galperin",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290K (Nonlinear and functional equations); C4150
(Nonlinear and functional equations)",
corpsource = "Dept. of Appl. Math., St. Andrews Univ., Fife, UK",
keywords = "Krawczyk-Moore algorithm; MAP; nonlinear algebraic
equations; nonlinear equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Pyzalski:1986:CDN,
author = "R. Pyzalski and M. Vala",
title = "Conversion of decimal numbers to irreducible rational
fractions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "370--377",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "11Y65 (11J70)",
MRnumber = "87h:11131",
MRreviewer = "J. D. Dixon",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0210 (Algebra); C1160 (Combinatorial mathematics)",
corpsource = "Dept. of Chem., Florida Univ., Gainesville, FL, USA",
keywords = "computer program; continued fraction expansion;
decimal numbers; irreducible rational fractions; number
theory; single-valued way",
treatment = "T Theoretical or Mathematical",
}
@Article{Chan:1986:UIL,
author = "Tony F. Chan and Kenneth R. Jackson",
title = "The use of iterative linear-equation solvers in codes
for large systems of stiff {IVP}s for {ODE}s",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "378--417",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (65V05)",
MRnumber = "87e:65040",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "codes; initial value problems; iterative
linear-equation solvers; iterative methods; large
sparse Jacobians; large sparse systems; large systems;
linear algebraic equations; linear differential
equations; stiff initial value problems; stiff ordinary
differential equations",
treatment = "B Bibliography; T Theoretical or Mathematical",
}
@Article{Maier:1986:ASM,
author = "Maximilian R. Maier",
title = "An adaptive shooting method for singularly perturbed
boundary value problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "418--440",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10",
MRnumber = "87e:65049",
MRreviewer = "Siegfried Filippi",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Math. Inst., Tech. Univ. Munchen, West Germany",
keywords = "adaptive shooting method; boundary-value problems;
differential equations; numerical solution;
perturbation theory; physical theory; semiconducting
devices; singularly perturbed boundary value problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Schreiber:1986:SES,
author = "R. Schreiber",
title = "Solving eigenvalue and singular value problems on an
undersized systolic array",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "441--451",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4290 (Other computer theory)",
corpsource = "Guiltech Res. Co., Sunnyvale, CA, USA",
keywords = "cellular arrays; eigenvalue; eigenvalues and
eigenfunctions; parallel processing; singular value
problems; undersized systolic array",
treatment = "T Theoretical or Mathematical",
}
@Article{Luk:1986:RMC,
author = "Franklin T. Luk",
title = "A rotation method for computing the
${QR}$-decomposition",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "452--459",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65W05 (65F30)",
MRnumber = "87d:65151",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4290 (Other computer theory)",
corpsource = "Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA",
keywords = "cellular arrays; m* n matrix; n* n matrix; O( n/sup
2/) processors; parallel method; parallel processing;
QR decomposition computing; rotation method",
treatment = "T Theoretical or Mathematical",
}
@Article{George:1986:ORS,
author = "Alan George and Esmond Ng",
title = "Orthogonal reduction of sparse matrices to upper
triangular form using {Householder} transformations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "460--472",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50",
MRnumber = "87d:65050",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
keywords = "Householder transformations; least squares
approximations; numerical computation; orthogonal
reduction; sparse matrices; static data structure;
upper triangular form",
treatment = "T Theoretical or Mathematical",
}
@Article{OLeary:1986:CII,
author = "Dianne P. O'Leary and Bert W. Rust",
title = "Confidence intervals for inequality-constrained least
squares problems, with applications to ill-posed
problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "473--489",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62J05 (62F25 65U05)",
MRnumber = "87h:62123",
MRreviewer = "Kenneth N. Berk",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "confidence intervals; distributed error vector;
ill-posed problems; inequality-constrained least
squares problems; integral equations; least squares
approximations; multivariate statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{Adams:1986:SCB,
author = "Loyce M. Adams and Harry F. Jordan",
title = "Is {SOR} color-blind?",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "490--506",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F10 (65N20 65W05)",
MRnumber = "87i:65039",
MRreviewer = "W. Niethammer",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "5-point stencil; eigenvalues; eigenvalues and
eigenfunctions; iterative methods; natural rowwise
ordering; parallel computers; parallel processing;
Poisson's equation; Red/Black ordering; successive
overrelaxation iterative method",
treatment = "T Theoretical or Mathematical",
}
@Article{Yip:1986:NSS,
author = "E. L. Yip",
title = "A note on the stability of solving a rank-$p$
modification of a linear system by the
{Sherman-Morrison-Woodbury} formula",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "507--513",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F35",
MRnumber = "87d:65048",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Boeing Aerosp. Co., Seattle, WA, USA",
keywords = "linear system; matrix algebra; rank-p modification;
Sherman-Morrison-Woodbury formula; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Joe:1986:DTM,
author = "Barry Joe",
title = "{Delaunay} triangular meshes in convex polygons",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "514--539",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "68U05 (52-04 65-04 68Q25)",
MRnumber = "87e:68107",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "Dept. of Comput. Sci., Waterloo Univ., Ont., Canada",
keywords = "computational geometry; convex polygons; Delaunay
triangular meshes; difference equations; finite element
triangulation; time complexity",
treatment = "T Theoretical or Mathematical",
}
@Article{Bank:1986:PMC,
author = "Randolph E. Bank and Tony F. Chan",
title = "{PLTMGC}: a multi-grid continuation program for
parameterized nonlinear elliptic systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "540--559",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30",
MRnumber = "87d:65125",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "adaptive mesh refinement strategy; bifurcation points;
boundary-value problems; eigenvalues and
eigenfunctions; fixed parameter values; linear
eigenvalue problem; multi-grid continuation program;
nonlinear differential equations; parameterized
nonlinear elliptic systems; PLTMGC; scalar parameter;
software packages; turning points",
treatment = "T Theoretical or Mathematical",
}
@Article{Lin:1986:NSF,
author = "Yih-Yih Lin",
title = "Numerical solutions for flow in a partially filled,
rotating cylinder",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "560--570",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76-08 (76D05)",
MRnumber = "87d:76010",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "difference equations; finite elements; flow
simulation; four-node isoparametric bilinear elements;
free boundary; interpolations; isoparametric
biquadratic elements; least squares approximations;
least-squares method; partially filled cylinder;
periodic cubic splines; perturbation methods; pressure;
rotating cylinder; rotational flow; splines
(mathematics); surface tension; velocity; viscous
flow",
treatment = "T Theoretical or Mathematical",
}
@Article{Scandrett:1986:ALA,
author = "C. L. Scandrett and G. A. Kriegsmann and J. D.
Achenbach",
title = "Application of the limiting amplitude principle to
elastodynamic scattering problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "571--590",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "73D25",
MRnumber = "87d:73016",
MRreviewer = "D. R. Bland",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "elastic waves; elastodynamic scattering problems;
exterior domains; limiting amplitude principle;
numerical methods; plane wave scattering; scattering;
two-dimensional time harmonic equations",
treatment = "T Theoretical or Mathematical",
}
@Article{Lattanzio:1986:CP,
author = "J. C. Lattanzio and J. J. Monaghan and H. Pongracic
and Schwarz and M. P.",
title = "Controlling penetration",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "591--598",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4740K (Supersonic and hypersonic flows); A4740N
(Shock-wave interactions)",
corpsource = "Dept. of Math., Monash Univ., Clayton, Vic.,
Australia",
keywords = "artificial viscosity; gas clouds; high Mach number
collision; hypersonic flow; Mach number; particle
methods; particle streaming; penetration controlling;
shock waves",
treatment = "T Theoretical or Mathematical",
}
@Article{Eilbeck:1986:PMP,
author = "J. C. Eilbeck",
title = "The pseudo-spectral method and path following in
reaction-diffusion bifurcation studies",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "599--610",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N35 (35K20)",
MRnumber = "87i:65195",
MRreviewer = "A. Quarteroni",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "boundary value problem; boundary-value problems; cubic
polynomial; partial differential equations; path
following; polynomials; problem parameters;
pseudo-spectral method; reaction-diffusion bifurcation
studies; steady-state solutions",
treatment = "T Theoretical or Mathematical",
}
@Article{Dierckx:1986:SAB,
author = "P. Dierckx",
title = "The spectral approximation of bicubic splines on the
sphere",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "611--623",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "41A15 (33A45 65D07)",
MRnumber = "87h:41019",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput. Sci., Katholieke Univ. Leuven,
Heverlee, Belgium",
keywords = "approximation theory; arbitrarily scattered points;
bicubic splines; discrete function; latitude-longitude
grid; spectral analysis; spectral approximation;
sphere; spherical harmonic coefficients; splines
(mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Buneman:1986:CFF,
author = "Oscar Buneman",
title = "Conversion of {FFT}s to fast {Hartley} transforms",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "624--638",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65T05 (65R10 94A11)",
MRnumber = "833 926",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290Z (Other numerical methods); C4190 (Other
numerical methods)",
corpsource = "Dept. of Electr. Eng., Stanford Univ., CA, USA",
keywords = "computer programs; fast Fourier transforms; fast
Hartley transforms; floating point operations; Fortran
version",
treatment = "T Theoretical or Mathematical",
}
@Article{Dyn:1986:NPS,
author = "Nira Dyn and David Levin and Samuel Rippa",
title = "Numerical procedures for surface fitting of scattered
data by radial functions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "639--659",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D10",
MRnumber = "87h:65029",
MRreviewer = "J. G. Herriot",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Sch. of Math. Sci., Tel-Aviv Univ., Israel",
keywords = "computer capacity; global interpolation methods;
interpolation; iterative methods; iterative schemes;
numerical procedures; radial functions; scattered data;
splines; splines (mathematics); surface fitting;
two-dimensional domain",
treatment = "T Theoretical or Mathematical",
}
@Article{Niederreiter:1986:LSQ,
author = "Harald Niederreiter and Paul Peart",
title = "Localization of search in {{quasi-Monte Carlo}}
methods for global optimization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "660--664",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65C05 (65K10 90C30)",
MRnumber = "87h:65017",
MRreviewer = "A. S. Rasulov",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "function evaluations; global optimization; Monte Carlo
methods; multivariable functions; optimisation;
quasi-Monte Carlo methods; Quasi-random search methods;
search localisation",
treatment = "T Theoretical or Mathematical",
}
@Article{McDonald:1986:PST,
author = "John Alan McDonald",
title = "Periodic smoothing of time series",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "665--688",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62M10",
MRnumber = "833 929",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4190 (Other numerical methods)",
corpsource = "Linear Accelerator Center, Stanford Univ., CA, USA",
keywords = "computational geometry; computational methods; data
analysis; graphic methods; interactive computer
graphics workstations; Orion I workstation; Orion
project; periodic variation; series (mathematics)",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Brown:1986:DFP,
author = "Robert H. Brown",
title = "The distribution function of positive definite
quadratic forms in normal random variables",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "689--695",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62H10",
MRnumber = "88b:62100",
MRreviewer = "Yasuko Chikuse",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "McNeil Pharm., Spring House, PA, USA",
keywords = "computation theory; computational algorithms;
distribution function; normal random variables;
polynomials; positive definite quadratic forms; test
statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{Coughran:1986:VDS,
author = "William M. {Coughran, Jr.} and Eric Grosse and Donald
J. Rose",
title = "Variation diminishing splines in simulation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "2",
pages = "696--705",
month = apr,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D07 (41A15)",
MRnumber = "87d:65020",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "active elements; circuit CAD; circuit simulation;
Cray-1A; minima; modeling; quadratic tensor product
splines; semiconductor device models; simulation;
splines (mathematics); variation diminishing splines",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Dyksen:1986:ISH,
author = "Wayne R. Dyksen and John R. Rice",
title = "The importance of scaling for the {Hermite} bicubic
collocation equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "707--719",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F35 (65F05 65G05)",
MRnumber = "87i:65068",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "a priori scaling rule; elliptic partial differential
equations; Gauss elimination; Gaussian elimination;
geometry; Hermite bicubic collocation equations; linear
algebra; linear equations; ordering used; partial
differential equations; round-off problems; roundoff
errors; scaled partial pivoting",
treatment = "T Theoretical or Mathematical",
}
@Article{Petzold:1986:NSN,
author = "Linda Petzold and Per L{\"o}tstedt",
title = "Numerical solution of nonlinear differential equations
with algebraic constraints. {II}. Practical
implications",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "720--733",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (58F99)",
MRnumber = "87j:65079",
MRreviewer = "Eugene Allgower",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "algebraic constraints; constrained mechanical systems;
convergence of numerical methods; convergence tests;
error analysis; error tests; fluid dynamics; linear
algebra; matrix ill-conditioning; nonlinear
differential equations; numerical ODE methods;
variable-stepsize backward differentiation formulae",
treatment = "T Theoretical or Mathematical",
}
@Article{Gear:1986:MSI,
author = "C. W. Gear",
title = "Maintaining solution invariants in the numerical
solution of {ODE}s",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "734--743",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M99",
MRnumber = "87h:65171",
MRreviewer = "I. Norman Katz",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Comput. Sci., Illinois Univ., Urbana, IL,
USA",
keywords = "chemical kinetic problems; differential equations;
equality invariants; inequality invariants; multistep
methods; numerical consistency; numerical methods;
numerical solution; ODEs; one-step methods; solution
invariants",
treatment = "T Theoretical or Mathematical",
}
@Article{Ben-Artzi:1986:USO,
author = "Matania Ben-Artzi and Joseph Falcovitz",
title = "An upwind second-order scheme for compressible duct
flows",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "744--768",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M25 (76-08)",
MRnumber = "88a:65107",
MRreviewer = "B. M. Herbst",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "channel flow; compressible duct flows; compressible
flow; cylindrical converging shock problem; generalised
Riemann problem; inviscid flow; monotonicity algorithm;
nozzles; one space dimension; partial differential
equations; pipe flow; quasi 1-D nozzle problem; shock
waves; sonic lines; time-dependent flow; upwind
second-order scheme",
treatment = "T Theoretical or Mathematical",
}
@Article{Bartels:1986:GTP,
author = "Richard H. Bartels and Nezam Mahdavi-Amiri",
title = "On generating test problems for nonlinear programming
algorithms",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "769--798",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "90C30",
MRnumber = "87h:90190",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "least squares approximations; nonlinear constraints;
nonlinear programming; nonlinear programming
algorithms; nonlinear-least-squares structure; test
problem generation; testing",
treatment = "T Theoretical or Mathematical",
}
@Article{Golub:1986:CBS,
author = "G. H. Golub and P. Manneback and Ph. L. Toint",
title = "A comparison between some direct and iterative methods
for certain large scale geodetic least squares
problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "799--816",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50 (65U05)",
MRnumber = "87g:65063",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "conjugate gradient type algorithms; CPU time; direct
orthogonal decomposition; Doppler effect; Doppler
positioning; geodesy; geophysical techniques;
geophysics computing; input/output; iterative methods;
large dimensional linear least squares problems; large
scale geodetic least squares problems; least squares
approximations; numerical methods; position
measurement; projections; Property A; satellites;
storage requirements",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Morgan:1986:GDM,
author = "Ronald B. Morgan and David S. Scott",
title = "Generalizations of {Davidson}'s method for computing
eigenvalues of sparse symmetric matrices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "817--825",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (65F35 65F50)",
MRnumber = "87g:65056",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math., Texas Univ., Austin, TX, USA",
keywords = "eigenpairs; eigenvalues; eigenvalues and
eigenfunctions; generalised Davidson's method; matrix
algebra; preconditioning techniques; sparse symmetric
matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Hanson:1986:LLS,
author = "R. J. Hanson",
title = "Linear least squares with bounds and linear
constraints",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "826--834",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "algebraic equations; least squares approximations;
linear algebra; linear equality constraints; linear
inequality constraints; linear least squares systems;
penalty function; simple bounds",
treatment = "T Theoretical or Mathematical",
}
@Article{Varah:1986:GFM,
author = "J. M. Varah",
title = "A generalization of the {Frank} matrix",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "835--839",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15",
MRnumber = "87h:65071",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., British Columbia Univ.,
Vancouver, BC, Canada",
keywords = "defective matrix; eigensystem; eigenvalues and
eigenfunctions; generalised Frank matrix;
ill-conditioned eigenvalues; matrix algebra;
perturbation; perturbation techniques",
treatment = "T Theoretical or Mathematical",
}
@Article{Elman:1986:HCK,
author = "Howard C. Elman and Youcef Saad and Paul E. Saylor",
title = "A hybrid {Chebyshev Krylov} subspace algorithm for
solving nonsymmetric systems of linear equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "840--855",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50 (65F10)",
MRnumber = "87g:65062",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Arnoldi's method; Chebyshev approximation; conjugate
gradient-like method; convergence; convergence of
numerical methods; eigenvalue estimates; eigenvalues
and eigenfunctions; hybrid Chebyshev Krylov subspace
algorithm; iterative method; iterative methods; large
sparse nonsymmetric linear systems; linear algebra;
linear equations; Manteuffel's adaptive Chebyshev
method",
treatment = "T Theoretical or Mathematical",
}
@Article{Saad:1986:GGM,
author = "Youcef Saad and Martin H. Schultz",
title = "{GMRES}: a generalized minimal residual algorithm for
solving nonsymmetric linear systems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "856--869",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50 (65F10)",
MRnumber = "87g:65064",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Arnoldi process; asymmetric linear systems;
generalized conjugate residual method; generalized
minimal residual algorithm; GMRES; iterative method;
iterative methods; Krylov subspace; linear algebra;
MINRES algorithm; nonsymmetric linear systems;
ORTHODIR",
treatment = "T Theoretical or Mathematical",
}
@Article{vanKan:1986:SOA,
author = "J. {van Kan}",
title = "A second-order-accurate pressure-correction scheme for
viscous incompressible flow",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "870--891",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76-08 (65M20)",
MRnumber = "87h:76008",
MRreviewer = "P. C. Jain",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A4710 (General fluid dynamics theory, simulation and
other computational methods)",
corpsource = "Tech. Hogeschool Delft, Delft Univ. of Technol.,
Netherlands",
keywords = "flow simulation; second-order-accurate
pressure-correction scheme; time-dependent flow;
viscous incompressible flow",
treatment = "T Theoretical or Mathematical",
}
@Article{Elden:1986:ASA,
author = "L. Elden and R. Schreiber",
title = "An application of systolic arrays to linear discrete
ill-posed problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "892--903",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C4240 (Programming and
algorithm theory)",
corpsource = "Dept. of Math., Linkoping Univ., Sweden",
keywords = "banded matrix; cellular arrays; computation time;
computational complexity; linear algebra; linear
discrete ill-posed problems; parallel processing; plane
rotations; QR-decomposition; systolic arrays;
Tikhonov-Phillips regularisation method",
treatment = "T Theoretical or Mathematical",
}
@Article{Berger:1986:DSA,
author = "M. J. Berger",
title = "Data structures for adaptive grid generation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "904--916",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C1160 (Combinatorial mathematics); C4170
(Differential equations); C6120 (File organisation)",
corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA",
keywords = "adaptive grid generation; adaptive mesh refinement;
automatic grid generation algorithms; data structures;
difference equations; difference schemes; grid
management; nearest neighbor properties; partial
differential equations; Trees; trees (mathematics)",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Coffey:1986:ACD,
author = "Mark Coffey and John Greenstadt and Alan Karp",
title = "The application of cell discretization to a {``circle
in the square''} model problem",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "917--939",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (65N35)",
MRnumber = "87g:65135",
MRreviewer = "H. Kersten",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "IBM Corp., Palo Alto Sci. Center, CA, USA",
keywords = "boundary-value problems; cell discretization; circle
in the square geometry; convergence of numerical
methods; convergence properties; Dirichlet boundary
conditions; elliptic partial differential equations;
elliptic PDEs; finite difference solutions; Green's
function; Laplace's equation; partial differential
equations; Poisson's equation",
treatment = "T Theoretical or Mathematical",
}
@Article{Lin:1986:HOT,
author = "Avi Lin",
title = "High-order three-point schemes for boundary value
problems. {I}. Linear problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "940--958",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (65L10)",
MRnumber = "87j:65149a",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "boundary-value problems; free parameters; initial
boundary value problems; initial value problems; linear
algebra; linear equations; numerical methods; three
point numerical schemes",
treatment = "T Theoretical or Mathematical",
}
@Article{Thune:1986:AGS,
author = "Michael Thun{\'e}",
title = "Automatic {GKS} stability analysis",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "959--977",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M10 (65N10 65V05)",
MRnumber = "848 572",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations); C7310 (Mathematics
computing)",
corpsource = "Dept. of Comput. Sci., Uppsala Univ., Sweden",
keywords = "convergence of numerical methods; difference
equations; difference methods; fluid dynamics; FORTRAN;
GKS stability analysis; Gustafsson-Kreiss-Sundstrom
stability analysis; hyperbolic initial boundary value
problems; IBSTAB; initial value problems; LISP-F3
interpreter; numerical routines; P-stability; partial
differential equations; software system; stable
numerical boundary conditions; symbol manipulation;
symbolic formula manipulation; user-oriented problem
description language; von Neumann stability",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Hagstrom:1986:NCT,
author = "Thomas Hagstrom and H. B. Keller",
title = "The numerical calculation of traveling wave solutions
of nonlinear parabolic equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "978--988",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M05 (35K55)",
MRnumber = "88b:65099",
MRreviewer = "Nima Geffen",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Fisher's equation; genetics; initial value approach;
initial value problems; Laplace transform;
linearisation techniques; linearized problems;
nonlinear differential equations; nonlinear parabolic
equations; numerical simulation; partial differential
equations; traveling wave solutions",
treatment = "T Theoretical or Mathematical",
}
@Article{Ehrlich:1986:NSA,
author = "L. W. Ehrlich",
title = "The numerical {Schwarz} alternating procedure and
{SOR}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "989--993",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Appl. Phys. Lab., Johns Hopkins Univ., Laurel, MD,
USA",
keywords = "block SOR technique; Dirichlet problems; eigenvalue;
eigenvalues and eigenfunctions; Laplace's equation;
matrix algebra; numerical methods; numerical Schwarz
alternating procedure; power method",
treatment = "T Theoretical or Mathematical",
}
@Article{Griffiths:1986:SMM,
author = "D. F. Griffiths and J. M. Sanz-Serna",
title = "On the scope of the method of modified equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "994--1008",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L05 (65L10 65M05 65M10)",
MRnumber = "87g:65086",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "convergence of numerical methods; difference
equations; error analysis; local truncation errors;
modified equations; roundoff errors; stability",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Young:1986:EPS,
author = "David P. Young and Alex C. Woo and John E. Bussoletti
and Forrester T. Johnson",
title = "An exterior {Poisson} solver using fast direct methods
and boundary integral equations with applications to
nonlinear potential flow",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "1009--1021",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N35 (76-08)",
MRnumber = "848 575",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "aerodynamics; aerospace computing; boundary integral
equations; boundary irregularities; boundary-value
problems; computational aerodynamics; computational
complexity; corners; error analysis; error estimates;
exterior Poisson solver; fast direct methods; integral
equations; irregular exterior regions; nonlinear
potential flow; partial differential equations;
Poisson's equation; preconditioned conjugate gradient;
two-dimensional lifting airfoil",
treatment = "T Theoretical or Mathematical",
}
@Article{Knusel:1986:CCS,
author = "Leo Kn{\"u}sel",
title = "Computation of the chi-square and {Poisson}
distribution",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "1022--1036",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "62-04",
MRnumber = "848 576",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0240Z (Other topics in statistics); C1140Z (Other
topics in statistics)",
corpsource = "Inst. fur Stat. und Wissenschaftstheor., Munchen
Univ., West Germany",
keywords = "asymptotic expansions; beta distribution; binomial
distribution; central limit theorem; chi-square
distribution; elementary statistical distributions;
F-distribution; general gamma distribution;
hypergeometric distribution; lower tail probabilities;
open backward recursion; open forward recursion;
Poisson distribution; probability; statistics; upper
tail probabilities",
treatment = "T Theoretical or Mathematical",
}
@Article{Flick:1986:GMC,
author = "Thomas E. Flick and Lee K. Jones",
title = "A generalization of the method of correlated sampling
for numerical integration",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "1037--1040",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65D30",
MRnumber = "848 577",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "function approximation; generalised correlated
sampling; integrand approximation; integration;
numerical integration; numerical methods; optimal
selective sampling; statistical estimation;
statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{Reichel:1986:SCA,
author = "Lothar Reichel",
title = "Some computational aspects of a method for rational
approximation",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "1041--1057",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65E05 (30E10 65D20)",
MRnumber = "87h:65050",
MRreviewer = "A. Bultheel",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA",
keywords = "analytic functions; basis selection; bounded simply
connected complement; complex plane; computational
aspects; function approximation; interpolation;
numerical methods; rational approximation; space
selection",
treatment = "T Theoretical or Mathematical",
}
@Article{Fishman:1986:EEA,
author = "George S. Fishman and Louis R. {Moore III}",
title = "Erratum: {``An exhaustive analysis of multiplicative
congruential random number generators with modulus
$2^{31}-1$''}",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "3",
pages = "1058--1058",
month = jul,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65C10",
MRnumber = "87g:65010b",
MRreviewer = "A. S. Rasulov",
bibdate = "Sat Oct 28 08:38:02 2000",
note = "See \cite{Fishman:1986:EAM}.",
acknowledgement = ack-nhfb,
}
@Article{Colella:1986:TNS,
author = "Phillip Colella and Andrew Majda and Victor Roytburd",
title = "Theoretical and numerical structure for reacting shock
waves",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1059--1080",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "76L05 (80A32)",
MRnumber = "87i:76037",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "bifurcating wave patterns; chemically reactive flow;
compressible flow; computational properties;
detonation; dynamically stable weak detonations; flow
instability; fractional step methods; inviscid
calculations; inviscid hydrodynamic sweep;
Navier-Stokes equations; nonphysical discrete
travelling waves; numerical properties; precursor weak
detonation; reacting compressible Navier-Stokes
equations; reacting shock waves; second order Godunov
method; shock waves; simplified model equations; spiked
nearly Z-N-D detonation; theoretical properties",
treatment = "T Theoretical or Mathematical",
}
@Article{Bolstad:1986:MCM,
author = "John H. Bolstad and Herbert B. Keller",
title = "A multigrid continuation method for elliptic problems
with folds",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1081--1104",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N20 (65N25)",
MRnumber = "87j:65140",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Brandt frozen tau technique; convergence of numerical
methods; convergence rate; eigenvalues and
eigenfunctions; elliptic problems with folds;
interpolation; interpolations; multigrid continuation
method; nonlinear differential equations; nonlinear
elliptic eigenvalue problems; parameter correction;
partial differential equations; pseudo-arc length
continuation; stationary reaction-diffusion problem",
treatment = "T Theoretical or Mathematical",
}
@Article{Jarausch:1986:AGR,
author = "Helmut Jarausch",
title = "On an adaptive grid refining technique for finite
element approximations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1105--1120",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (65K10 65M60)",
MRnumber = "87k:65137",
MRreviewer = "Manfred Dobrowolski",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "adaptive grid refining technique; discrete
optimisation; energy functional minimisation; finite
element analysis; finite element approximations;
functional analysis; optimisation",
treatment = "T Theoretical or Mathematical",
}
@Article{Luk:1986:CCS,
author = "F. T. Luk and Sanzheng Qiao",
title = "Computing the {CS-decomposition} on systolic arrays",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1121--1125",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C4240 (Programming and
algorithm theory)",
corpsource = "Cornell Univ., Ithaca, NY, USA",
keywords = "computational complexity; CS-decomposition; Kaplan-Van
Loan method; matrix algebra; orthonormal matrix;
parallel algorithm; parallel algorithms; space
complexity; systolic arrays; time complexity",
treatment = "T Theoretical or Mathematical",
}
@Article{Paige:1986:CGS,
author = "C. C. Paige",
title = "Computing the generalized singular value
decomposition",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1126--1146",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F15 (15A23)",
MRnumber = "87i:65055",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation);
C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., McGill Univ., Montreal, Que.,
Canada",
keywords = "convergence of numerical methods; CS decomposition;
generalized singular value decomposition; iterative
methods; iterative sequence of cycles; matrix algebra;
parallel algorithms; quadratic convergence; systolic
array processors; unitary matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Heath:1986:CSV,
author = "M. T. Heath and A. J. Laub and C. C. Paige and R. C.
Ward",
title = "Computing the singular value decomposition of a
product of two matrices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1147--1159",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F30 (15A23)",
MRnumber = "87h:65075",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "Jacobi-like method; Kogbetliantz method; matrix
algebra; plane rotations; product of two matrices;
singular value decomposition; triangular method",
treatment = "T Theoretical or Mathematical",
}
@Article{Higham:1986:CPD,
author = "Nicholas J. Higham",
title = "Computing the polar decomposition---with
applications",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1160--1174",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F25 (15A21 65F30 65F35)",
MRnumber = "87m:65064",
MRreviewer = "Sudhangshu B. Karmakar",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Math., Manchester Univ., UK",
keywords = "aerospace computations; best Hermitian positive
semidefinite approximation; convergence acceleration;
convergence of numerical methods; factor analysis;
full-rank matrix; Hermitian polar factor; matrix
algebra; optimisation; perturbation bounds; polar
decomposition; quadratically convergent Newton method;
square root of a symmetric positive definite matrix",
treatment = "T Theoretical or Mathematical",
}
@Article{Zlatev:1986:CNE,
author = "Zahari Zlatev and Jerzy Wa\'sniewski and Kjeld
Schaumburg",
title = "Condition number estimators in a sparse matrix
software",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1175--1189",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F35 (15A12 65F50)",
MRnumber = "857 789",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C7310 (Mathematics)",
corpsource = "Air Pollution Lab., Riso Nat. Lab., Roskilde,
Denmark",
keywords = "condition number estimators; convergence of numerical
methods; drop-tolerance; mathematics computing; matrix
algebra; pivotal strategies; reliability; software
packages; sparse matrix software; stability; Y12M",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Liu:1986:GRM,
author = "Joseph W. H. Liu",
title = "On general row merging schemes for sparse {Givens}
transformations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1190--1211",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50 (15A23)",
MRnumber = "87k:65054",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., York Univ., Downsview, Ont.,
Canada",
keywords = "column ordering; general row merging schemes;
George-Heath scheme; matrix algebra; QR decomposition;
sparse Givens transformations; sparse matrices; upper
trapezoidal full submatrices; variable row pivoting
method; working storage",
treatment = "T Theoretical or Mathematical",
}
@Article{Marro:1986:LTI,
author = "L. Marro",
title = "A linear time implementation of profile reduction
algorithms for sparse matrices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1212--1231",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65F50",
MRnumber = "857 791",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra); C4240 (Programming and
algorithm theory)",
corpsource = "Dept. of Comput. Sci., Aerospatiale Cannes, La Bocca,
France",
keywords = "computational complexity; data structures; direct
methods; frontal increase minimization strategy; Gibb
algorithm; King numbering criterion; Levy algorithm;
linear system of equations; linear time complexity;
matrix algebra; numbering process; profile reduction
algorithms; Reverse Cuthill McKee algorithm; Snay
algorithm; sparse matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Buell:1986:OCI,
author = "Jeffrey C. Buell",
title = "The operator compact implicit method for fourth order
ordinary differential equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1232--1245",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L10 (34A50 34B05)",
MRnumber = "87m:65111",
MRreviewer = "Abbas I. Abdel-Karim",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "boundary-value problems; centred second order
differencing with Richardson extrapolation;
convergence; convergence of numerical methods;
extrapolation; formal cell Reynolds number limitations;
fourth order ordinary differential equations; linear
differential equations; linear fourth order two-point
boundary value problems with Dirichlet boundary
conditions; nonlinear differential equations; nonlinear
problems; operator compact implicit method; stability",
treatment = "T Theoretical or Mathematical",
}
@Article{Addison:1986:ISP,
author = "C. A. Addison and P. M. Hanson",
title = "An investigation into the stability properties of
second derivative methods using perfect square
iteration matrices",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1246--1264",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65L20",
MRnumber = "88c:65067",
MRreviewer = "W. H. Enright",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "absolute stability properties; convergence of
numerical methods; differential equations; implicit
formula; initial value ODEs; initial value problems;
iterative methods; matrix algebra; numerical methods;
perfect square iteration matrices; predictor formula;
predictor-corrector methods; second derivative methods;
stability regions",
treatment = "T Theoretical or Mathematical",
}
@Article{Allgower:1986:CLP,
author = "E. L. Allgower and C. S. Chien",
title = "Continuation and local perturbation for multiple
bifurcations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1265--1281",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65J15 (58C15 58E07)",
MRnumber = "89a:65095",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Colorado State Univ., Fort Collins,
CO, USA",
keywords = "boundary-value problems; branching off; difference
equations; discretizations; finite differences; finite
element analysis; finite elements; gradient maps;
linear differential equations; local perturbations;
multiple bifurcations; partial differential equations;
perturbation techniques; quasilinear elliptic boundary
value problems",
treatment = "T Theoretical or Mathematical",
}
@Article{Greenstadt:1986:RCB,
author = "John Greenstadt",
title = "On the reconciliation of clashing boundary conditions
in cell discretization",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1282--1306",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N30 (65N35)",
MRnumber = "88f:65198",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "boundary-value problems; cell discretization; clashing
boundary conditions; conservation laws; integral
equations; integral identities; interface flow balance
conditions; natural interface conditions; nullifier;
partial differential equations; variational procedure;
variational techniques",
treatment = "T Theoretical or Mathematical",
}
@Article{Santosa:1986:LIB,
author = "Fadil Santosa and William W. Symes",
title = "Linear inversion of band-limited reflection
seismograms",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1307--1330",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "86A15 (49A22)",
MRnumber = "87i:86010",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "band-limited reflection seismograms; cost functional;
data interpretation; deconvolution; geophysical
techniques; linear inversion; optimisation;
optimization; reflection seismology; robust profile
reconstruction; seismology; signal processing",
treatment = "T Theoretical or Mathematical",
}
@Article{Bruckstein:1986:ISN,
author = "A. M. Bruckstein and I. Koltracht and T. Kailath",
title = "Inverse scattering with noisy data",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1331--1349",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65G05 (35P25)",
MRnumber = "857 797",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "error analysis; error propagation; interference
(signal); inverse scattering; layer-peeling inversion
methods; noisy data; reflection coefficient; signal
processing",
treatment = "T Theoretical or Mathematical",
}
@Article{Cohen:1986:SAR,
author = "Joel S. Cohen and James A. LaVita",
title = "A simple approximate random choice method for scalar
conservation laws",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1350--1359",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65M99 (35L65 76R05)",
MRnumber = "857 798",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "approximate random choice method; approximate Riemann
solver; conservation laws; convection; CPU time;
Dafermos method; fluid dynamics; numerical method;
partial differential equations; scalar conservation
laws",
treatment = "T Theoretical or Mathematical",
}
@Article{Sherman:1986:MCM,
author = "Arthur S. Sherman and Charles S. Peskin",
title = "A {Monte Carlo} method for scalar reaction diffusion
equations",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1360--1372",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65C05",
MRnumber = "857 799",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
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",
keywords = "convergence; convergence of numerical methods;
creation; destruction; differential equations; Monte
Carlo method; Monte Carlo methods; probability
interpretation; random processes; random walk; scalar
reaction diffusion equations; stochastic process;
stochastic processes",
treatment = "T Theoretical or Mathematical",
}
@Article{Hald:1986:CRM,
author = "Ole H. Hald",
title = "Convergence of a random method with creation of
vorticity",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "4",
pages = "1373--1386",
month = oct,
year = "1986",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65C20 (65N99 65U05)",
MRnumber = "88a:65013",
MRreviewer = "Werner R{\"o}misch",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
acknowledgement = ack-nhfb,
classification = "A0250 (Probability theory, stochastic processes, and