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@PhdThesis{Young:1950:IMS,
author = "David M. Young",
title = "Iterative methods for solving partial differential
equations of elliptic type",
type = "{Ph.D.} dissertation",
school = "Harvard University",
address = "Cambridge, MA, USA",
year = "1950",
bibdate = "Tue Feb 15 09:45:13 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
advisor = "Garrett Birkhoff",
}
@InProceedings{Young:1952:UCM,
author = "David M. Young",
title = "The use of conformal mapping to determine flows with
free streamlines",
crossref = "Beckenbach:1952:CAC",
pages = "125--136",
year = "1952",
MRclass = "65.0X",
MRnumber = "14,909a",
bibdate = "Thu Jan 18 14:04:16 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "C. Saltzer",
}
@Article{Young:1953:BRW,
author = "David M. Young",
title = "Book Review: {W. E. Milne, {\em Numerical solution of
differential equations}. New York, Wiley, 1953. 11 +
275 pp. \$6.50}",
journal = j-BULL-AMS,
volume = "59",
number = "6",
pages = "577--579",
month = "????",
year = "1953",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Wed Jun 08 11:59:20 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
URL = "http://projecteuclid.org/euclid.bams/1183518287",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Article{Young:1955:OSD,
author = "David M. Young",
title = "{ORDVAC} Solutions of the {Dirichlet} Problem",
journal = j-J-ACM,
volume = "2",
number = "3",
pages = "137--161",
month = jul,
year = "1955",
CODEN = "JACOAH",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
MRclass = "65.0X",
MRnumber = "17,413c",
bibdate = "Fri Nov 04 23:23:13 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
reviewer = "M. A. Hyman",
}
@InProceedings{Young:1956:SLS,
author = "David M. Young",
title = "On the solution of linear systems by iteration",
crossref = "Curtiss:1956:NAP",
chapter = "19",
pages = "??--??",
year = "1956",
bibdate = "Tue Jun 19 05:48:46 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1958:EAM,
author = "David M. Young",
title = "Error Analysis for the Method of False Position",
type = "Report",
number = "TNN-1",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = oct,
year = "1958",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1959:NSE,
author = "David M. Young",
title = "The Numerical Solution of Elliptic and Parabolic
Partial Differential Equations",
type = "Report",
number = "TNN-4",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = apr,
year = "1959",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1959:SNS,
author = "David M. Young and Louis Ehrlich",
title = "Some Numerical Studies of Iterative Methods for
Solving Elliptic Difference Equations",
type = "Report",
number = "TNN-5",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = apr,
year = "1959",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1960:NI,
author = "David M. Young",
title = "Notes on Interpolation",
type = "Report",
number = "TNN-3",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = nov,
year = "1960",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1960:NMM,
author = "David M. Young and Carl Bailey",
title = "Notes on {Muller}'s Method",
type = "Report",
number = "TNN-2",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = oct,
year = "1960",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1960:NMS,
author = "David M. Young",
title = "Numerical Methods for Solving Problems in Linear
Algebra",
type = "Report",
number = "TNN-9",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = may,
year = "1960",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1961:ASC,
author = "David M. Young",
title = "Automonitor Systems for the {Control Data} 1604
Computer",
type = "Report",
number = "TNN-14",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = aug,
year = "1961",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1961:EAP,
author = "David M. Young",
title = "Exact Analysis of the {Peaceman--Rachford} Method
Using a Single Iteration Parameter for Problems
Involving the {Helmholtz} Equation in the Rectangle",
type = "Report",
number = "TNN-12",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = jun,
year = "1961",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Young:1962:BRM,
author = "David M. Young",
title = "Book Review: {A. M. Ostrowski, {\em Solution of
equations and systems of equations}. Academic Press,
New York, 1960, 9 + 202 pp}",
journal = j-BULL-AMS,
volume = "68",
number = "4",
pages = "306--308",
year = "1962",
CODEN = "BAMOAD",
ISSN = "0002-9904 (print), 1936-881X (electronic)",
ISSN-L = "0002-9904",
bibdate = "Wed Jun 08 11:57:20 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
URL = "http://projecteuclid.org/euclid.bams/1183524656",
acknowledgement = ack-nhfb,
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@InCollection{Young:1962:NSE,
author = "David M. {Young, Jr.}",
title = "The numerical solution of elliptic and parabolic
partial differential equations",
crossref = "Todd:1962:SNA",
chapter = "11",
pages = "380--438",
year = "1962",
bibdate = "Tue Jun 19 06:12:46 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1962:SCM,
author = "David M. Young and Thurman G. Frank",
title = "A Survey of Computer Methods for Solving Elliptic and
Parabolic Partial Differential Equations",
type = "Report",
number = "TNN-20",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = dec,
year = "1962",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1963:ADM,
author = "David M. Young and Mary Fanett Wheeler",
title = "Alternating Direction Methods for Solving Partial
Difference Equations",
type = "Report",
number = "TNN-30",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = dec,
year = "1963",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1963:NSP,
author = "David M. Young",
title = "On the Numerical Solution of Partial Differential
Equations by Finite Difference Methods",
type = "Report",
number = "TNN-21",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = jan,
year = "1963",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Young:1963:SCM,
author = "David M. Young and Thurman G. Frank",
title = "A Survey of Computer Methods for Solving Elliptic and
Parabolic Partial Differential Equations",
journal = j-ICC-BULL,
volume = "2",
number = "??",
pages = "3--61",
month = "??",
year = "1963",
CODEN = "ICCBAF",
ISSN = "0536-1222",
MRclass = "65.66 (65.68)",
MRnumber = "27\#952",
bibdate = "Thu Jan 18 14:01:05 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "ICC (International Computation Center) Bulletin
(Rome)",
}
@InProceedings{Young:1964:ADM,
author = "David M. Young and Mary Fanett Wheeler",
title = "Alternating Direction Methods for Solving Partial
Difference Equations",
crossref = "Ames:1964:NPE",
pages = "220--246",
year = "1964",
MRclass = "65.65",
MRnumber = "30\#4395",
bibdate = "Thu Jan 18 13:58:43 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "M. Lees",
}
@TechReport{Young:1965:DRPa,
author = "David M. Young and John H. Dauwalder",
title = "Discrete Representations of Partial Differential
Operators",
type = "Report",
number = "TNN-46",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = may,
year = "1965",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Young:1965:DRPb,
author = "David M. Young and John H. Dauwalder",
title = "Discrete Representations of Partial Differential
Operators",
crossref = "Rall:1965:EDCb",
pages = "181--217",
year = "1965",
MRclass = "65.70",
MRnumber = "33\#894",
bibdate = "Thu Jan 18 13:53:46 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "E. Isaacson",
}
@TechReport{Young:1965:UMS,
author = "David M. Young and Mary F. Wheeler and James A.
Downing",
title = "On the Use of the Modified Successive Overrelaxation
Method with Several Relaxation Factors",
type = "Report",
number = "TNN-39",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = jan,
year = "1965",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1969:CPS,
author = "David M. Young",
title = "Convergence Properties of the Symmetric and
Unsymmetric Successive Overrelaxation Methods and
Related Methods",
type = "Report",
number = "TNN-96",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = sep,
year = "1969",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1969:NSO,
author = "David M. Young and David R. Kincaid",
title = "Norms of the Successive Overrelaxation Methods",
type = "Report",
number = "TNN-94",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = sep,
year = "1969",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Young:1969:SCN,
author = "David M. Young and Alvis E. McDonald",
title = "On the surveillance and control of number range and
accuracy in numerical computation (with discussion)",
crossref = "Morrell:1970:IPP",
pages = "145--152",
year = "1969",
MRclass = "65.80",
MRnumber = "40\#8303",
bibdate = "Thu Jan 18 13:48:21 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Warlick:1970:PMD,
author = "Charles H. Warlick and David M. Young",
title = "A Priori Methods for the Determination of the Optimum
Relaxation Factor for the Successive Overrelaxation
Method",
type = "Report",
number = "TNN-105",
institution = inst-CC-UTA,
address = inst-CC-UTA:adr,
month = may,
year = "1970",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Young:1970:CPS,
author = "David M. Young",
title = "Convergence Properties of the Symmetric and
Unsymmetric Successive Overrelaxation Methods and
Related Methods",
journal = j-MATH-COMPUT,
volume = "24",
number = "112",
pages = "793--807",
month = oct,
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
kwds = "nla, linear system, relaxation, nonsymmetric matrix",
}
@TechReport{Kincaid:1971:NSO,
author = "David R. Kincaid and David M. Young",
title = "Norms of the Successive Overrelaxation Method",
type = "Report",
number = "CNA-26",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = jul,
year = "1971",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Young:1971:BOR,
author = "David M. Young",
title = "A bound for the optimum relaxation factor for the
successive overrelaxation method",
journal = j-NUM-MATH,
volume = "16",
number = "??",
pages = "408--413",
month = "??",
year = "1970/71",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N05",
MRnumber = "45 6208",
bibdate = "Thu Jan 18 13:43:39 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
reviewer = "N. Gastinel",
}
@Book{Young:1971:ISL,
author = "David M. Young",
title = "Iterative Solution of Large Linear Systems",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xxiv + 570",
year = "1971",
ISBN = "0-12-773050-8",
ISBN-13 = "978-0-12-773050-9",
LCCN = "QA195 .Y681 1971",
MRclass = "65F10",
MRnumber = "46 4698",
MRreviewer = "L. Fox",
bibdate = "Wed Dec 15 10:59:14 1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib",
series = "Computer Science and Applied Mathematics, Editor:
Werner Rheinboldt",
acknowledgement = ack-nhfb,
tableofcontents = "Preface / xiii \\
Acknowledgments / xvii \\
Notation / xix \\
List of Fundamental Matrix Properties / xxi \\
List of Iterative Methods / xxiii \\
Introduction / 1 \\
The Model Problem / 2 \\
Supplementary Discussion / 6 \\
Exercises / 6 \\
Matrix Preliminaries / 7 \\
Review of Matrix Theory / 7 \\
Hermitian Matrices and Positive Definite Matrices / 18
\\
Vector Norms and Matrix Norms / 25 \\
Convergence of Sequences of Vectors and Matrices / 34
\\
Irreducibility and Weak Diagonal Dominance / 36 \\
Property $A$ / 41 \\
L-Matrices and Related Matrices / 42 \\
Illustrations / 48 \\
Supplementary Discussion / 53 \\
Exercises / 55 \\
Linear Stationary Iterative Methods / 63 \\
Introduction / 63 \\
Consistency, Reciprocal Consistency, and Complete
Consistency / 65 \\
Basic Linear Stationary Iterative Methods / 70 \\
Generation of Completely Consistent Methods / 75 \\
General Convergence Theorems / 77 \\
Alternative Convergence Conditions / 80 \\
Rates of Convergence / 84 \\
The Jordan Condition Number of a $2 \times 2$ Matrix /
89 \\
Supplementary Discussion / 94 \\
Exercises / 95 \\
Convergence of the Basic Iterative Methods / 106 \\
General Convergence Theorems / 106 \\
Irreducible Matrices with Weak Diagonal Dominance / 107
\\
Positive Definite Matrices / 108 \\
The SOR Method with Varying Relaxation Factors / 118
\\
L-Matrices and Related Matrices / 120 \\
Rates of Convergence of the J and GS Methods for the
Model Problem / 127 \\
Supplementary Discussion / 132 \\
Exercises / 133 \\
Eigenvalues of the SOR Method for Consistently Ordered
Matrices / 140 \\
Introduction / 140 \\
Block Tri-Diagonal Matrices / 141 \\
Consistently Ordered Matrices and Ordering Vectors /
144 \\
Property $A$ / 148 \\
Nonmigratory Permutations / 153 \\
Consistently Ordered Matrices Arising from Difference
Equations / 157 \\
A Computer Program for Testing for Property $A$ and
Consistent Ordering / 159 \\
Other Developments of the SOR Theory / 162 \\
Supplementary Discussion / 163 \\
Exercises / 163 \\
Determination of the Optimum Relaxation Factor / 169
\\
Virtual Spectral Radius / 170 \\
Analysis of the Case Where All Eigenvalues of B Are
Real / 171 \\
Rates of Convergence: Comparison with the Gauss--Seidel
Method / 188 \\
Analysis of the Case Where Some Eigenvalues of B Are
Complex / 191 \\
Practical Determination of $\omega_b$: General
Considerations / 200 \\
Iterative Methods of Choosing $\omega_b$ / 209 \\
An Upper Bound for $\mu$ / 211 \\
A Priori Determination of $\mu$: Exact Methods / 216
\\
A Priori Determination of $\mu$: Approximate Values /
222 \\
Numerical Results / 224 \\
Supplementary Discussion / 227 \\
Exercises / 228 \\
Norms of the SOR Method / 233 \\
The Jordan Canonical Form of ${\cal L}_\omega$ / 234
\\
Basic Eigenvalue Relation / 239 \\
Determination of $||{\cal L}_\omega||_{D^{1/2}}$ / 245
\\
Determination of $||{\cal L}^m_{\omega_b}||_{D^{1/2}}$
/ 248 \\
Determination of $||{\cal L}_\omega||_{A^{1/2}}$ / 255
\\
Determination of $||{\cal L}^m_{\omega_b}||_{A^{1/2}}$
/ 258 \\
Comparison of $||{\cal L}^m_{\omega_b}||_{D^{1/2}}$ and
$||{\cal L}^m_{\omega_b}||_{A^{1/2}}$ / 264 \\
Supplementary Discussion / 265 \\
Exercises / 266 \\
The Modified SOR Method: Fixed Parameters / 271 \\
Introduction / 271 \\
Eigenvalues of ${\cal L}_{\omega, \omega'}$ / 273 \\
Convergence and Spectral Radius / 277 \\
Determination of $||{\cal L}_{\omega,
\omega'}_{D^{1/2}}||$ / 283 \\
Determination of $||{\cal L}_{\omega,
\omega'}_{A^{1/2}}||$ / 288 \\
Supplementary Discussion / 291 \\
Exercises / 291 \\
Nonstationary Linear Iterative Methods / 295 \\
Consistency, Convergence, and Rates of Convergence /
295 \\
Periodic Nonstationary Methods / 300 \\
Chebyshev Polynomials / 301 \\
Supplementary Discussion / 304 \\
Exercises / 304 \\
The Modified SOR Method: Variable Parameters / 306 \\
Convergence of the MSOR Method / 307 \\
Optimum Choice of Relaxation Factors / 307 \\
Alternative Optimum Parameter Sets / 311 \\
Norms of the MSOR Method: Sheldon's Method / 315 \\
The Modified Sheldon Method / 319 \\
Cyclic Chebyshev Semi-Iterative Method / 321 \\
Comparison of Norms / 327 \\
Supplementary Discussion / 340 \\
Exercises / 341 \\
Semi-Iterative Methods / 344 \\
General Considerations / 345 \\
The Case Where G Has Real Eigenvalues / 347 \\
J, JOR, and RF Semi-Iterative Methods / 355 \\
Richardson's Method / 361 \\
Cyclic Chebyshev Semi-Iterative Method / 365 \\
GS Semi-Iterative Methods / 367 \\
SOR Semi-Iterative Methods / 374 \\
MSOR Semi-Iterative Methods / 376 \\
Comparison of Norms / 383 \\
Supplementary Discussion / 385 \\
Exercises / 386 \\
Extensions of the SOR Theory: Stieltjes Matrices / 391
\\
The Need for Some Restrictions on A / 391 \\
Stieltjes Matrices / 395 \\
Supplementary Discussion / 401 \\
Exercises / 401 \\
Generalized Consistently Ordered Matrices / 404 \\
Introduction / 404 \\
${\rm CO}(q, r)$-Matrices, Property $A_{q,r}$, and
Ordering Vectors / 405 \\
Determination of the Optimum Relaxation Factor / 413
\\
Generalized Consistently Ordered Matrices / 418 \\
Relation between ${\rm GCO}(q, r)$-Matrices and ${\rm
CO}(q, r)$-Matrices / 419 \\
Computational Procedures: Canonical Forms / 422 \\
Relation to Other Work / 428 \\
Supplementary Discussion / 429 \\
Exercises / 430 \\
Group Iterative Methods / 434 \\
Construction of Group Iterative Methods / 435 \\
Solution of a Linear System with a Tri-Diagonal Matrix
/ 441 \\
Convergence Analysis / 445 \\
Applications / 452 \\
Comparison of Point and Group Iterative Methods / 454
\\
Supplementary Discussion / 456 \\
Exercises / 457 \\
Symmetric SOR Method and Related Methods / 461 \\
Introduction / 461 \\
Convergence Analysis / 463 \\
Choice of Relaxation Factor / 464 \\
SSOR Semi-Iterative Methods: The Discrete Dirichlet
Problem / 471 \\
Group SSOR Methods / 474 \\
Unsymmetric SOR Method / 476 \\
Symmetric and Unsymmetric MSOR Methods / 478 \\
Supplementary Discussion / 480 \\
Exercises / 481 \\
Second-Degree Methods / 486 \\
Supplementary Discussion / 493 \\
Exercises / 493 \\
Alternating Direction Implicit Methods / 495 \\
Introduction: The Peaceman--Rachford Method / 495 \\
The Stationary Case: Consistency and Convergence / 498
\\
The Stationary Case: Choice of Parameters / 503 \\
The Commutative Case / 514 \\
Optimum Parameters / 518 \\
Good Parameters / 525 \\
The Helmholtz Equation in a Rectangle / 531 \\
Monotonicity / 534 \\
Necessary and Sufficient Conditions for the Commutative
Case / 535 \\
The Noncommutative Case / 545 \\
Supplementary Discussion / 547 \\
Exercises / 548 \\
Selection of Iterative Method / 553 \\
Bibliography / 556 \\
Index / 565",
}
@TechReport{Young:1971:MSO,
author = "David M. Young and David R. Kincaid",
title = "The Modified Successive Overrelaxation Method with
Fixed Parameters",
type = "Report",
number = "CNA-33",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = oct,
year = "1971",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kincaid:1972:MSO,
author = "David R. Kincaid and David M. Young",
title = "The modified successive overrelaxation method with
fixed parameters",
journal = j-MATH-COMPUT,
volume = "26",
number = "119",
pages = "705--717",
month = jul,
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Univ. Texas, Austin, TX, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "convergence of numerical methods; fixed parameters;
linear algebra; modified successive overrelaxation
method; norms; optimum parameters; spectral radius;
virtual; virtual spectral radius",
treatment = "T Theoretical or Mathematical",
}
@Article{Young:1972:CLS,
author = "David M. Young",
title = "On the consistency of linear stationary iterative
methods",
journal = j-SIAM-J-NUMER-ANAL,
volume = "9",
number = "1",
pages = "89--96",
month = mar,
year = "1972",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F10",
MRnumber = "47 1266",
MRreviewer = "T. A. Porsching",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Young:1972:GPC,
author = "David M. Young",
title = "Generalizations of property $ {A} $ and consistent
ordering",
journal = j-SIAM-J-NUMER-ANAL,
volume = "9",
number = "3",
pages = "454--463",
month = sep,
year = "1972",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F10",
MRnumber = "47 7907",
MRreviewer = "R. S. Varga",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@TechReport{Young:1972:LSS,
author = "David M. Young and David R. Kincaid",
title = "Linear Stationary Second-degree Methods for the
Solution of Large Linear Systems",
type = "Report",
number = "CNA-52",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = oct,
year = "1972",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Young:1972:SIM,
author = "David M. Young",
title = "Second-degree iterative methods for the solution of
large linear systems",
journal = j-APPROX-THEORY,
volume = "5",
number = "??",
pages = "137--148",
month = "??",
year = "1972",
MRclass = "65F10",
MRnumber = "49 8304",
bibdate = "Thu Jan 18 06:47:11 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "Collection of articles dedicated to J. L. Walsh on his
75th birthday, II (Proc. Internat. Conf. Approximation
Theory, Related Topics and Appl., Univ. Maryland,
College Park, Md., 1970)",
acknowledgement = ack-nhfb,
reviewer = "T. A. Porsching",
}
@InProceedings{Young:1972:SLS,
author = "David M. Young",
title = "On the solution of large systems of linear algebraic
equations with sparse, positive definite matrices",
crossref = "Rheinboldt:1972:NSS",
pages = "101--156",
year = "1972",
MRclass = "65F10 (65N10)",
MRnumber = "53 14883",
bibdate = "Wed Jan 17 10:53:54 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "Iain S. Duff",
}
@Book{Young:1972:SNM,
author = "David M. Young and Robert Todd Gregory",
title = "A Survey of Numerical Mathematics",
publisher = pub-AW,
address = pub-AW:adr,
pages = "x + 492 (A1--A18 and B1--B14 and I1--I19)",
year = "1972",
ISBN = "0-201-08773-1, 0-486-65691-8 (Dover paperback)",
ISBN-13 = "978-0-201-08773-4, 978-0-486-65691-5 (Dover
paperback)",
LCCN = "QA297 .Y63 1972",
MRclass = "65-02",
MRnumber = "53 11954a",
bibdate = "Wed Jan 17 10:57:04 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
reviewer = "D. Greenspan",
tableofcontents = "1: Numerical Analysis as a Subject Area \\
1.1 Introduction \\
1.2 Some pitfalls in computation \\
1.3 Mathematical and computer aspects of an algorithm
\\
1.4 Numerical instability of algorithms and
ill-conditioned problems \\
1.5 Typical problems of interest to the numerical
analyst \\
1.6 Iterative methods \\
2: Elementary Operations with Automatic Digital
Computers \\
2.1 Introduction \\
2.2 Binary arithmetic \\
2.3 Conversion from base $D$ to base $B$ representation
\\
2.4 Representation of integers on a binary computer \\
2.5 Floating-point representations \\
2.6 Computer-representable numbers \\
2.7 Floating-point arithmetic operations \\
2.8 Fortran analysis of a floating-point number \\
2.9 Calculation of elementary functions \\
3: Surveillance of Number Ranges \\
3.1 Introduction \\
3.2 Allowable number ranges \\
3.3 Basic real arithmetic operations \\
3.4 The quadratic equation \\
3.5 Complex arithmetic operations \\
4: Solution of Equations \\
4.1 Introduction \\
4.2 Attainable accuracy \\
4.3 Graphical methods \\
4.4 The method of bisection \\
4.5 The method of false position \\
4.6 The secant method \\
4.7 General properties of iterative methods \\
4.8 Generation of iterative methods \\
4.9 The Newton method \\
4.10 Muller's method \\
4.11 Orders of convergence of iterative methods \\
4.12 Acceleration of the convergence \\
4.13 Systems of nonlinear equations \\
5: Roots of Polynomial Equations \\
5.1 Introduction \\
5.2 General properties of polynomials \\
5.3 The Newton method and related methods \\
5.4 Muller's method and Cauchy's method \\
5.5 Location of the roots \\
5.6 Root acceptance and refinement \\
5.7 Matrix related methods: the modified Bernoulli
method \\
5.8 Matrix related methods: the IP method \\
5.9 Polyalgorithms \\
5.10 Other methods \\
6: Interpolation and Approximation \\
6.1 Introduction \\
6.2 Linear interpolation \\
6.3 Convergence and accuracy of linear interpolation
\\
6.4 Lagrangian interpolation \\
6.5 Convergence and accuracy of Lagrangian
interpolation \\
6.6 Interpolation with equal intervals \\
6.7 Hermite interpolation \\
6.8 Limitations on polynomial interpolation: smooth
interpolation \\
6.9 Inverse interpolation \\
6.10 Approximation by polynomials \\
6.11 Least squares approximation by polynomials \\
6.12 Rational approximation \\
6.13 Trigonometric interpolation and approximation \\
6.14 Interpolation in two variables \\
7: Numerical Differentiation and Quadrature \\
7.1 Introduction \\
7.2 The method of undetermined weights \\
7.3 Numerical differentiation \\
7.4 Numerical quadrature --- equal intervals \\
7.5 The Euler--MacLaurin formula \\
7.6 Romberg integration \\
7.7 Error determination \\
7.8 Numerical quadrature --- unequal intervals \\
8: Ordinary Differential Equations \\
8.1 Introduction \\
8.2 Existence and uniqueness \\
8.3 Analytic methods \\
8.4 Integral equation formulation --- the Picard method
of successive approximations \\
8.5 The Euler method \\
8.6 Methods based on numerical quadrature \\
8.7 Error estimation for predictor-corrector methods
\\
8.8 A numerical example \\
8.9 Runge--Kutta methods \\
8.10 Methods based on numerical differentiation \\
8.11 Higher-order equations and systems of first-order
equations \\
8.12 The use of high-speed computers \\
Appendix A \\
Appendix B \\
Appendix C \\
Bibliography \\
Index",
}
@InProceedings{Young:1973:SLS,
author = "David M. Young",
title = "Solution of linear systems of equations",
crossref = "Gram:1973:NSP",
pages = "35--54",
year = "1973",
MRclass = "65F10",
MRnumber = "58 31780",
bibdate = "Wed Jan 17 10:45:45 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "D. S. Henderson",
}
@Article{Young:1973:SMN,
author = "David M. Young",
title = "A survey of modern numerical analysis",
journal = j-SIAM-REV,
volume = "15",
number = "??",
pages = "503--523",
year = "1973",
MRclass = "65-03 (65-02)",
MRnumber = "52 15937",
bibdate = "Wed Jan 17 10:58:39 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Book{Young:1973:SNM,
author = "David M. Young and Robert Todd Gregory",
title = "A Survey of Numerical Mathematics",
publisher = pub-AW,
address = pub-AW:adr,
pages = "493--1099 + xviii + xvi + xviii",
year = "1973",
ISBN = "0-486-65692-6 (Dover paperback)",
ISBN-13 = "978-0-486-65692-2 (Dover paperback)",
LCCN = "QA297 .Y63 1973",
MRclass = "65-02",
MRnumber = "53 11954b",
bibdate = "Wed Jan 17 10:56:05 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib",
ZMnumber = "0732.65003",
acknowledgement = ack-nhfb,
reviewer = "D. Greenspan",
tableofcontents = "9: Ordinary Differential Equations: Stability,
Convergence, and Accuracy \\
10: Ordinary Differential Equations: Boundary Value and
Eigenvalue Problems \\
11: Vectors, Matrices, and Norms \\
12: The Solution of Systems of Linear Algebraic
Equations by Direct Methods \\
13: Solving Systems of Linear Algebraic Equations Using
Residue Arithmetic \\
14: The Algebraic Eigenvalue--Eigenvector Problem \\
15: Partial Differential Equations: Elliptic Boundary
Value Problems \\
16: Iterative Methods for Solving Large Linear Systems
\\
17: Partial Differential Equations: Initial-Value
Problems \\
Appendix A \\
Bibliography \\
Index",
}
@Article{Young:1974:ASM,
author = "David M. Young",
title = "On the accelerated {SSOR} method for solving elliptic
boundary value problems",
journal = j-LECT-NOTES-MATH,
volume = "363",
pages = "176--176",
year = "1974",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0069135",
ISBN = "3-540-06617-9 (print), 3-540-37914-2 (e-book)",
ISBN-13 = "978-3-540-06617-0 (print), 978-3-540-37914-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "65N10 (65F10)",
MRnumber = "55 9559",
bibdate = "Fri May 9 19:07:50 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/lnm1970.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0069135",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0069119",
book-URL = "http://www.springerlink.com/content/978-3-540-37914-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
reviewer = "B. Levinger",
xxpages = "176, 196--206",
}
@Article{Kincaid:1975:DCP,
author = "David R. Kincaid and David M. Young",
title = "The Development of a Computer Package for Solving a
Class of Partial Differential Equations by Iterative
Methods",
journal = j-AAICA,
volume = "3",
pages = "186--191",
year = "1975",
CODEN = "AAICAE",
ISSN = "0020-594X",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Annales de l'Association Internationale pour le Calcul
Analogique",
}
@InCollection{Young:1975:ISL,
author = "David M. Young",
title = "Iterative Solution of Linear and Nonlinear Systems
Derived from Elliptic Partial Differential Equations",
crossref = "Oden:1975:LNM",
pages = "265--296",
year = "1975",
MRclass = "65N10",
MRnumber = "55 4730",
bibdate = "Wed Jan 17 10:53:32 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "I. Aganovic",
}
@InCollection{Young:1976:ISL,
author = "David M. Young",
title = "Iterative Solution of Linear Systems Arising from
Finite Element Techniques",
crossref = "Whiteman:1976:MFE",
pages = "439--464",
year = "1976",
MRclass = "65F10 (65N30)",
MRnumber = "56 9936",
bibdate = "Wed Jan 17 10:22:49 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "Eugene L. Wachspress",
}
@Article{Young:1977:ASM,
author = "David M. Young",
title = "On the Accelerated {SSOR} Method for Solving Large
Linear Systems",
journal = j-ADV-MATH,
volume = "23",
number = "3",
pages = "215--271",
year = "1977",
CODEN = "ADMTA4",
ISSN = "0001-8708 (print), 1090-2082 (electronic)",
ISSN-L = "0001-8708",
MRclass = "65F10",
MRnumber = "55 6812",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Advances in Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/00018708",
reviewer = "E. G. Djakonov",
}
@TechReport{Grimes:1978:IRA,
author = "Roger G. Grimes and David R. Kincaid and William I.
MacGregor and David M. Young",
title = "{ITPACK} Report: Adaptive Iterative Algorithms Using
Symmetric Sparse Storage",
type = "Report",
number = "CNA-139",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = aug,
year = "1978",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Grimes:1978:IUG,
author = "Roger G. Grimes and David R. Kincaid and David M.
Young",
title = "{ITPACK} 2.0 User's Guide",
type = "Report",
number = "CNA-150",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = aug,
year = "1978",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Kincaid:1979:IAI,
author = "David R. Kincaid and Roger G. Grimes and William I.
MacGregor and David M. Young",
title = "{ITPACK}: Adaptive Iterative Algorithms Using
Symmetric Sparse Storage",
crossref = "xxx:1979:SRS",
pages = "151--170",
year = "1979",
bibdate = "Wed Jan 17 10:25:53 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Kincaid:1979:SIM,
author = "David R. Kincaid and David M. Young",
title = "Survey of Iterative Methods",
crossref = "Belzer:1979:ECS",
volume = "13",
pages = "354--391",
year = "1979",
bibdate = "Wed Jan 17 10:25:50 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kincaid:1979:UIMa,
author = "David R. Kincaid and Roger G. Grimes and David M.
Young",
title = "The Use of Iterative Methods for Solving Large Sparse
{PDE}-Related Linear Systems",
journal = j-MATH-COMP-SIM,
volume = "XXI",
pages = "368--375",
year = "1979",
CODEN = "MCSIDR",
ISSN = "0378-4754 (print), 1872-7166 (electronic)",
ISSN-L = "0378-4754",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics and Computers in Simulation",
journal-URL = "http://www.sciencedirect.com/science/journal/03784754",
}
@InProceedings{Kincaid:1979:UIMb,
author = "David R. Kincaid and David M. Young and Roger G.
Grimes",
title = "The Use of Iterative Methods for Solving Large Sparse
{PDE}-related Linear Systems",
crossref = "Vichnevetsky:1979:ACM",
pages = "29--32",
year = "1979",
bibdate = "Wed Jan 17 10:25:45 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Hageman:1980:ECI,
author = "Louis A. Hageman and Franklin T. Luk and David M.
Young",
title = "On the Equivalence of Certain Iterative Acceleration
Methods",
journal = j-SIAM-J-NUMER-ANAL,
volume = "17",
number = "6",
pages = "852--873",
month = dec,
year = "1980",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F10",
MRnumber = "82c:65018",
MRreviewer = "D. S. Henderson",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Jea:1980:GCG,
author = "Kang C. Jea and David M. Young",
title = "Generalized Conjugate Gradient Acceleration of Non-
symmetrizable Iterative Methods",
journal = j-LIN-ALG-APP,
volume = "34",
pages = "159--194",
year = "1980",
MRclass = "65F10",
MRnumber = "82c:65020",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "Ph. L. Toint",
}
@TechReport{Kincaid:1980:IFI,
author = "David R. Kincaid and Roger G. Grimes and David M.
Young",
title = "{ITPACK 2A}: {A Fortran} Implementation of Adaptive
Accelerated Iterative Methods for Solving Large Sparse
Linear Systems",
type = "Report",
number = "CNA-164",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = oct,
year = "1980",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Book{Hageman:1981:AIM,
author = "Louis A. Hageman and David M. Young",
title = "Applied Iterative Methods",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xvii + 386",
year = "1981",
ISBN = "0-12-313340-8",
ISBN-13 = "978-0-12-313340-3",
LCCN = "QA297.8 .H34 1981",
MRclass = "65F10 (65-01 65-02)",
MRnumber = "83c:65064",
MRreviewer = "Themistocles M. Rassias",
bibdate = "Tue Dec 14 22:54:41 1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib",
series = "Computer Science and Applied Mathematics, Editor:
Werner Rheinboldt",
acknowledgement = ack-nhfb,
tableofcontents = "Background on linear algebra and related topics \\
Background on basic iterative methods \\
Polynomial acceleration \\
Chebyshev acceleration \\
An adaptive Chebyshev procedure using special norms \\
Adaptive Chebyshev acceleration \\
Conjugate gradient acceleration \\
Special methods for red/black partitionings \\
Adaptive procedures for the successive overrelaxation
method \\
The use of iterative methods in the solution of partial
differential equations \\
Case studies \\
The nonsymmetrizable case \\
Chebyshev acceleration subroutine \\
CCSI subroutine \\
SOR subroutine",
}
@InCollection{Kincaid:1981:AIA,
author = "David R. Kincaid and David M. Young",
title = "Adapting Iterative Algorithms Developed for Symmetric
Systems to Nonsymmetric Systems",
crossref = "Schultz:1981:EPS",
pages = "353--359",
year = "1981",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Kincaid:1981:IFP,
author = "David R. Kincaid and Roger G. Grimes and John R.
Respess and David M. Young",
title = "{ITPACK 2B}: {A Fortran} Package for Solving Large
Sparse Linear Systems by Adaptive Accelerated Iterative
Methods",
type = "Report",
number = "CNA-173",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = sep,
year = "1981",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "(Also, Report CCSN--44, Computation Center, University
of Texas at Austin.)",
acknowledgement = ack-nhfb,
}
@InCollection{Young:1981:IPL,
author = "David M. Young and David R. Kincaid",
title = "The {ITPACK} Package for Large Sparse Linear Systems",
crossref = "Schultz:1981:EPS",
pages = "163--185",
year = "1981",
bibdate = "Wed Jan 17 10:27:27 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Grimes:1982:AIF,
author = "Roger G. Grimes and David R. Kincaid and John Respess
and David M. Young",
title = "Algorithm 586, {ITPACK 2C}: {A Fortran} Package for
Solving Large Sparse Linear Systems by Adaptive
Accelerated Iterative Methods",
journal = j-TOMS,
volume = "8",
number = "3",
pages = "302--322",
year = "1982",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
}
@InProceedings{Kincaid:1982:AIR,
author = "David R. Kincaid and Thomas C. Oppe and David M.
Young",
title = "Adapting {ITPACK} Routines for Use on a Vector
Computer",
crossref = "xxx:1982:PSC",
pages = "??--??",
month = aug,
year = "1982",
bibdate = "Wed Jan 17 10:28:12 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kincaid:1982:IFP,
author = "David R. Kincaid and John R. Respess and David M.
Young and Roger G. Grimes",
title = "{ITPACK 2C}: {A Fortran} Package for Solving Large
Sparse Linear Systems by Adaptive Accelerated Iterative
Methods",
journal = j-TOMS,
volume = "8",
number = "3",
pages = "302--322",
year = "1982",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "Algorithm 586",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://portal.acm.org/toc.cfm?idx=J782",
}
@Article{Jea:1983:SGC,
author = "Kang C. Jea and David M. Young",
title = "On the Simplification of Generalized Conjugate-
Gradient Methods for Nonsymmetrizable Linear Systems",
journal = j-LIN-ALG-APP,
volume = "52/53",
pages = "399--417",
year = "1983",
MRclass = "65F10",
MRnumber = "85b:65030",
bibdate = "Wed Jan 17 10:42:45 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "N. N. Abdelmalek",
}
@InCollection{Kincaid:1983:AIA,
author = "David R. Kincaid and David M. Young",
title = "Adapting Iterative Algorithms for Solving Large Sparse
Linear Systems for Efficient Use on the {CDC CYBER}
205",
crossref = "Gary:1983:CAS",
pages = "147--160",
year = "1983",
bibdate = "Thu Jan 18 19:24:38 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Carey:1984:CFE,
author = "Graham F. Carey and David R. Kincaid and Thomas C.
Oppe and Kamy Sepehrnoori and David M. Young",
title = "Combining Finite Element and Iterative Methods for
solving Partial Differential Equations on Advanced
Computer Architectures",
crossref = "Vichnevetsky:1984:ACM",
pages = "375--378",
year = "1984",
bibdate = "Fri Jan 19 06:27:25 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Kincaid:1984:CFE,
author = "David R. Kincaid and Graham F. Carey and Thomas C.
Oppe and Kamy Sepehrnoori and David M. Young",
title = "Combining Finite Element and Iterative Methods for
Solving Partial Differential Equations on Advanced
Computer Architectures",
crossref = "Vichnevetsky:1984:ACM",
pages = "375--378",
year = "1984",
bibdate = "Fri Jan 19 06:27:19 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Kincaid:1984:IPP,
author = "David R. Kincaid and David M. Young",
title = "The {ITPACK} Project: Past, Present, and Future",
crossref = "Birkhoff:1984:EPS",
pages = "53--63",
year = "1984",
MRclass = "65-04 (65F50)",
MRnumber = "764 224",
bibdate = "Fri Jan 19 06:28:14 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Kincaid:1984:ISP,
author = "David R. Kincaid and David M. Young",
title = "The {ITPACK} Software Package",
crossref = "Engquist:1984:PSM",
pages = "193--206",
year = "1984",
bibdate = "Fri Jan 19 06:30:20 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Kincaid:1984:IUG,
author = "David R. Kincaid and Thomas C. Oppe and John R.
Respess and David M. Young",
title = "{ITPACKV 2C} User's Guide",
type = "Report",
number = "CNA-191",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = feb,
year = "1984",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Kincaid:1984:UIM,
author = "David R. Kincaid and David M. Young",
title = "On the Use of Iterative Methods with Supercomputers
for Solving Partial Differential Equations",
crossref = "Lakshmikantham:1984:TTP",
pages = "455--466",
month = aug,
year = "1984",
MRclass = "65F10 (65W05)",
MRnumber = "817 524",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
department = "Center for Numerical Analysis",
report = "CNA - 196",
university = "University of Texas at Austin",
}
@TechReport{Kincaid:1984:VCS,
author = "David R. Kincaid and Thomas C. Oppe and David M.
Young",
title = "Vector Computations for Sparse Linear Systems",
type = "Report",
number = "CNA-189",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = feb,
year = "1984",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Young:1984:ANI,
author = "David M. Young and Kang C. Jea and David R. Kincaid",
title = "Accelerating nonsymmetrizable iterative methods",
crossref = "Birkhoff:1984:EPS",
pages = "323--342",
year = "1984",
MRclass = "65F10",
MRnumber = "764 243",
bibdate = "Fri Jan 19 06:34:18 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Young:1984:ISP,
author = "David M. Young and David R. Kincaid",
title = "The {ITPACK} Software Package (With a Discussion)",
crossref = "Engquist:1984:PSM",
pages = "193--206",
year = "1984",
MRclass = "65F10 (65-04)",
MRnumber = "823 811",
bibdate = "Fri Jan 19 06:36:58 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Kincaid:1985:ISMa,
author = "David R. Kincaid and Thomas C. Oppe and John R.
Respess and David M. Young",
title = "{ITPACK} Solution Modules",
crossref = "Rice:1985:SEP",
chapter = "7",
pages = "121--146",
year = "1985",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
xxnote = "Check title and page numbers; is this the same as
\cite{Kincaid:1985:ISMb}?",
}
@InCollection{Kincaid:1985:ISMb,
author = "David R. Kincaid and Thomas C. Oppe and John Respess
and David M. Young",
title = "{ITPACK} Solution Modules",
crossref = "Rice:1985:SEP",
chapter = "7",
pages = "237--258",
year = "1985",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
xxnote = "Check title and page numbers; is this the same as
\cite{Kincaid:1985:ISMa}?",
}
@InProceedings{Young:1985:UVC,
author = "David M. Young and Linda J. Hayes and Thomas C. Oppe
and David R. Kincaid",
title = "On the Use of Vector Computers for Solving Sparse
Linear Systems",
crossref = "xxx:1985:PCV",
pages = "??--??",
year = "1985",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Joubert:1986:NSC,
author = "Wayne D. Joubert and David M. Young",
title = "Necessary and Sufficient Conditions for the
Simplification of Generalized Conjugate Gradient
Algorithms",
journal = j-LIN-ALG-APP,
volume = "86/87",
pages = "449--485",
year = "1986",
MRclass = "65F10",
MRnumber = "88f:65050",
bibdate = "Wed Jan 17 10:41:32 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "A. Barraud",
}
@InCollection{Kincaid:1986:TFD,
author = "David R. Kincaid and David M. Young",
title = "A Tutorial on Finite Difference Methods and Ordering
of Mesh Points",
crossref = "Stone:1986:FJC",
pages = "556--559",
year = "1986",
bibdate = "Fri Jan 19 06:45:06 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Kincaid:1986:VCS,
author = "David R. Kincaid and Thomas C. Oppe and David M.
Young",
title = "Vector Computations for Sparse Linear Systems",
journal = j-SIAM-J-ALG-DISC-METH,
volume = "7",
number = "1",
pages = "99--112",
year = "1986",
CODEN = "SJAMDU",
ISSN = "0196-5212 (print), 2168-345X (electronic)",
ISSN-L = "0196-5212",
MRclass = "65F10 (65W05)",
MRnumber = "87f:65041",
bibdate = "Wed Jan 17 10:42:19 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Algebraic and Discrete Methods",
journal-URL = "http://epubs.siam.org/loi/sjamdu",
reviewer = "R. P. Tewarson",
}
@Article{Kincaid:1986:VIM,
author = "David R. Kincaid and Thomas C. Oppe and David M.
Young",
title = "Vectorized Iterative Methods for Partial Differential
Equations",
journal = j-COMM-APPL-NUM-METH,
volume = "2",
number = "3",
pages = "289--296",
year = "1986",
CODEN = "CANMER",
ISSN = "0748-8025 (print), 1555-2047 (electronic)",
ISSN-L = "0748-8025",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications in Applied Numerical Methods",
}
@InProceedings{Young:1986:PCG,
author = "David M. Young and Kang C. Jea and Tsun-Zee Mai",
title = "Preconditioned conjugate gradient algorithms and
software for solving large sparse linear systems",
crossref = "Datta:1986:LAS",
pages = "260--283",
year = "1986",
MRclass = "65F10 (65F50)",
MRnumber = "90b:65062",
bibdate = "Wed Jan 17 10:36:36 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Browne:1987:YHA,
author = "M. W. Browne",
title = "The {Young--Householder} algorithm and the least
squares multidimensional scaling of squared distances",
journal = "Journal of Classification",
volume = "4",
number = "2",
pages = "175--190",
year = "1987",
DOI = "https://doi.org/10.1007/BF01896985",
ISSN = "0176-4268",
MRclass = "62H25 (65U05)",
MRnumber = "921739",
bibdate = "Fri Dec 7 06:57:26 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
ajournal = "J. Classification",
fjournal = "Journal of Classification",
}
@Article{Mai:1987:IAS,
author = "Tsun-Zee Mai and David M. Young",
title = "Iterative Algorithms and Software for the Solution of
Large Sparse Linear Systems",
journal = j-COMM-APPL-NUM-METH,
volume = "4",
number = "3",
pages = "435--456",
year = "1987",
CODEN = "CANMER",
ISSN = "0748-8025 (print), 1555-2047 (electronic)",
ISSN-L = "0748-8025",
MRclass = "65F50",
MRnumber = "964 569",
bibdate = "Thu Jan 18 18:29:15 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications in Applied Numerical Methods",
}
@Article{Adams:1988:ASI,
author = "Loyce M. Adams and Randall J. LeVeque and David M.
Young",
title = "Analysis of the {SOR} iteration for the $9$-point
{Laplacian}",
journal = j-SIAM-J-NUMER-ANAL,
volume = "25",
number = "5",
pages = "1156--1180",
month = oct,
year = "1988",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F10 (65N30)",
MRnumber = "90b:65050",
MRreviewer = "J. W. Neuberger",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Jea:1988:EAC,
author = "Kang C. Jea and David M. Young",
title = "On the effectiveness of adaptive {Chebyshev}
acceleration for solving systems of linear equations",
journal = j-J-COMPUT-APPL-MATH,
volume = "24",
number = "1--2",
pages = "33--54",
month = nov,
year = "1988",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:20:40 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0377042788903421",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Kincaid:1988:BRI,
author = "David R. Kincaid and David M. Young",
title = "A brief review of the {ITPACK} project",
journal = j-J-COMPUT-APPL-MATH,
volume = "24",
number = "1--2",
pages = "121--127",
month = nov,
year = "1988",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:20:40 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0377042788903470",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@TechReport{Kincaid:1988:VPIa,
author = "David R. Kincaid and Graham F. Carey and Kamy
Sepehrnoori and David M. Young",
title = "Vector and Parallel Iterative Solution of Large Sparse
Systems for {PDEs}",
type = "Report",
number = "CNA-222",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = aug,
year = "1988",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Kincaid:1988:VPIb,
author = "David R. Kincaid and Graham F. Carey and Kamy
Sepehrnoori and David M. Young",
title = "Vector and Parallel Iterative Solution of Large Sparse
Systems for {PDE}'s",
crossref = "Cray:1987:SEC",
pages = "25--44",
year = "1988",
bibdate = "Fri Jan 19 06:56:57 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Young:1988:SLP,
author = "David M. Young",
title = "The Search for `High-Level' Parallelism for the
Solution of Large Sparse Linear Systems",
crossref = "Carey:1988:PSM",
pages = "??--??",
year = "1988",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
xxnote = "Is this the same as \cite{Young:1988:SLPa}.?",
}
@Book{Young:1988:SNMa,
author = "David M. Young and Robert Todd Gregory",
title = "A Survey of Numerical Mathematics",
volume = "I",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "x + 492 + A22 + B16 + I18",
year = "1988",
ISBN = "0-486-65691-8",
ISBN-13 = "978-0-486-65691-5",
LCCN = "QA297.Y63 1972",
MRclass = "65-02",
MRnumber = "92b:65005b",
bibdate = "Wed Jan 17 10:30:33 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "Corrected reprint of the 1973 original.",
URL = "http://www.zentralblatt-math.org/zmath/en/search/?an=0732.65002",
ZMnumber = "0732.65002",
acknowledgement = ack-nhfb,
tableofcontents = "1: Numerical Analysis as a Subject Area \\
1.1 Introduction \\
1.2 Some pitfalls in computation \\
1.3 Mathematical and computer aspects of an algorithm
\\
1.4 Numerical instability of algorithms and
ill-conditioned problems \\
1.5 Typical problems of interest to the numerical
analyst \\
1.6 Iterative methods \\
2: Elementary Operations with Automatic Digital
Computers \\
2.1 Introduction \\
2.2 Binary arithmetic \\
2.3 Conversion from base $D$ to base $B$ representation
\\
2.4 Representation of integers on a binary computer \\
2.5 Floating-point representations \\
2.6 Computer-representable numbers \\
2.7 Floating-point arithmetic operations \\
2.8 Fortran analysis of a floating-point number \\
2.9 Calculation of elementary functions \\
3: Surveillance of Number Ranges \\
3.1 Introduction \\
3.2 Allowable number ranges \\
3.3 Basic real arithmetic operations \\
3.4 The quadratic equation \\
3.5 Complex arithmetic operations \\
4: Solution of Equations \\
4.1 Introduction \\
4.2 Attainable accuracy \\
4.3 Graphical methods \\
4.4 The method of bisection \\
4.5 The method of false position \\
4.6 The secant method \\
4.7 General properties of iterative methods \\
4.8 Generation of iterative methods \\
4.9 The Newton method \\
4.10 Muller's method \\
4.11 Orders of convergence of iterative methods \\
4.12 Acceleration of the convergence \\
4.13 Systems of nonlinear equations \\
5: Roots of Polynomial Equations \\
5.1 Introduction \\
5.2 General properties of polynomials \\
5.3 The Newton method and related methods \\
5.4 Muller's method and Cauchy's method \\
5.5 Location of the roots \\
5.6 Root acceptance and refinement \\
5.7 Matrix related methods: the modified Bernoulli
method \\
5.8 Matrix related methods: the IP method \\
5.9 Polyalgorithms \\
5.10 Other methods \\
6: Interpolation and Approximation \\
6.1 Introduction \\
6.2 Linear interpolation \\
6.3 Convergence and accuracy of linear interpolation
\\
6.4 Lagrangian interpolation \\
6.5 Convergence and accuracy of Lagrangian
interpolation \\
6.6 Interpolation with equal intervals \\
6.7 Hermite interpolation \\
6.8 Limitations on polynomial interpolation: smooth
interpolation \\
6.9 Inverse interpolation \\
6.10 Approximation by polynomials \\
6.11 Least squares approximation by polynomials \\
6.12 Rational approximation \\
6.13 Trigonometric interpolation and approximation \\
6.14 Interpolation in two variables \\
7: Numerical Differentiation and Quadrature \\
7.1 Introduction \\
7.2 The method of undetermined weights \\
7.3 Numerical differentiation \\
7.4 Numerical quadrature --- equal intervals \\
7.5 The Euler--MacLaurin formula \\
7.6 Romberg integration \\
7.7 Error determination \\
7.8 Numerical quadrature --- unequal intervals \\
8: Ordinary Differential Equations \\
8.1 Introduction \\
8.2 Existence and uniqueness \\
8.3 Analytic methods \\
8.4 Integral equation formulation --- the Picard method
of successive approximations \\
8.5 The Euler method \\
8.6 Methods based on numerical quadrature \\
8.7 Error estimation for predictor-corrector methods
\\
8.8 A numerical example \\
8.9 Runge--Kutta methods \\
8.10 Methods based on numerical differentiation \\
8.11 Higher-order equations and systems of first-order
equations \\
8.12 The use of high-speed computers \\
Appendix A \\
Appendix B \\
Appendix C \\
Bibliography \\
Index",
}
@Book{Young:1988:SNMb,
author = "David M. Young and Robert Todd Gregory",
title = "A Survey of Numerical Mathematics",
volume = "II",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "xii + 607 + A18 + B16 + I18",
year = "1988",
ISBN = "0-486-65692-6",
ISBN-13 = "978-0-486-65692-2",
LCCN = "QA297.Y63 1972",
MRclass = "65-02",
MRnumber = "92b:65005b",
bibdate = "Wed Jan 17 10:30:33 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib",
note = "Corrected reprint of the 1973 original.",
URL = "http://www.zentralblatt-math.org/zmath/en/search/?an=0732.65003",
ZMnumber = "0732.65003",
acknowledgement = ack-nhfb,
tableofcontents = "9: Ordinary Differential Equations: Stability,
Convergence, and Accuracy \\
10: Ordinary Differential Equations: Boundary Value and
Eigenvalue Problems \\
11: Vectors, Matrices, and Norms \\
12: The Solution of Systems of Linear Algebraic
Equations by Direct Methods \\
13: Solving Systems of Linear Algebraic Equations Using
Residue Arithmetic \\
14: The Algebraic Eigenvalue--Eigenvector Problem \\
15: Partial Differential Equations: Elliptic Boundary
Value Problems \\
16: Iterative Methods for Solving Large Linear Systems
\\
17: Partial Differential Equations: Initial-Value
Problems \\
Appendix A \\
Bibliography \\
Index",
}
@TechReport{Kincaid:1989:IUG,
author = "David R. Kincaid and Thomas C. Oppe and David M.
Young",
title = "{ITPACKV 2D} User's Guide",
type = "Report",
number = "CNA-232",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = may,
year = "1989",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Mai:1989:DAP,
author = "Tsun-Zee Mai and David M. Young",
title = "A Dual Adaptive Procedure for the Automatic
Determination of Iteration Parameters for {Chebyshev}
Acceleration",
journal = j-INT-J-NUM-METH-ENG,
volume = "27",
pages = "483--499",
year = "1989",
MRclass = "65F10 (65B99)",
MRnumber = "91a:65084",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Vona:1989:PMM,
author = "Bi Roubolo Vona and David M. Young",
title = "Parallel Multilevel Methods",
crossref = "xxx:1989:PUC",
pages = "??--??",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Young:1989:HOI,
author = "David M. Young",
title = "A Historical Overview of Iterative Methods",
journal = j-COMP-PHYS-COMM,
volume = "53",
number = "1--3",
pages = "1--17",
month = may,
year = "1989",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(89)90145-8",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
MRclass = "65F10 (65-03)",
MRnumber = "90e:65047",
bibdate = "Mon Feb 13 10:28:26 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0010465589901458",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
reviewer = "H. R. Schwarz",
}
@InCollection{Young:1989:SLP,
author = "David M. Young",
title = "The Search for `High Level' Parallelism for Iterative
Sparse Linear System Solvers",
crossref = "Carey:1988:PSM",
chapter = "7",
pages = "??--??",
year = "1989",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
xxnote = "Is this the same as \cite{Young:1988:SLPb}.?",
}
@InCollection{Young:1990:HRI,
author = "David M. Young",
title = "A Historical Review of Iterative Methods",
crossref = "Nash:1990:HSC",
pages = "180--194",
year = "1990",
MRclass = "65-03 (01A60 65F10)",
MRnumber = "1 203 108",
bibdate = "Fri Jan 19 07:09:17 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Young:1990:LSS,
author = "David M. Young and David R. Kincaid",
title = "Linear Stationary Second-Degree Methods for Solution
of Large Linear Systems",
type = "Report",
number = "CNA-244",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = jul,
year = "1990",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Young:1990:SO,
author = "David M. Young and Tsun-Zee Mai",
title = "The Search for Omega",
crossref = "Kincaid:1990:IML",
pages = "293--311",
year = "1990",
MRclass = "65F10",
MRnumber = "038 101",
bibdate = "Thu Jan 18 18:26:46 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@TechReport{Kincaid:1991:SSD,
author = "David R. Kincaid and David M. Young",
title = "Stationary Second-Degree Iterative Methods and
Recurrences",
type = "Report",
number = "CNA-250",
institution = inst-CNA-UTA,
address = inst-CNA-UTA:adr,
month = feb,
year = "1991",
bibdate = "Mon Jul 11 14:10:37 MDT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Kincaid:1992:SSD,
author = "David R. Kincaid and David M. Young",
title = "Stationary second-degree iterative methods and
recurrences",
crossref = "Beauwens:1992:IML",
pages = "27--47",
year = "1992",
MRclass = "65F10 (65N22 65Q05)",
MRnumber = "93d:65038",
bibdate = "Wed Jan 17 10:17:37 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
reviewer = "Zden{\v{e}}k Dost{\'a}l",
}
@Article{Young:1992:URI,
author = "David M. Young and Bi {Roubolo Vona}",
title = "On the use of rational iterative methods for solving
large sparse linear systems",
journal = j-APPL-NUM-MATH,
volume = "10",
number = "3--4",
pages = "261--278",
month = "??",
year = "1992",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(92)90044-E",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "65F50 (65F10)",
MRnumber = "1 181 698",
bibdate = "Thu Jan 18 18:16:16 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "A Festschrift to honor Professor Garrett Birkhoff on
his eightieth birthday.",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
}
@InProceedings{Jea:1993:LMS,
author = "Kang C. Jea and David M. Young",
title = "{Lanczos}-type methods for solving nonsymmetric linear
systems",
crossref = "Natori:1993:PPS",
pages = "14--24",
year = "1993",
MRclass = "65F10",
MRnumber = "95f:65070",
bibdate = "Wed Jan 17 10:13:02 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Young:1993:BRS,
author = "David M. Young",
title = "Book Review: {Scientific computing and differential
equations---An introduction to numerical methods}",
journal = j-BULL-AMS-N-S,
volume = "28",
number = "2",
pages = "397--398",
year = "1993",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0273-0979-1993-00371-9",
ISSN = "0273-0979 (print), 1088-9485 (electronic)",
ISSN-L = "0273-0979",
MRclass = "Contributed Item",
MRnumber = "1568042",
bibdate = "Tue Feb 15 08:55:32 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "American Mathematical Society. Bulletin. New Series",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@InCollection{Young:1993:LSS,
author = "David M. Young and David R. Kincaid",
title = "Linear stationary second-degree methods for the
solution of large linear systems",
crossref = "Rassias:1993:TPO",
pages = "609--629",
year = "1993",
MRclass = "65F10",
MRnumber = "95a:65069",
bibdate = "Wed Jan 17 10:15:58 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Young:1993:SCD,
author = "David M. Young",
title = "Scientific computing and differential equations --- An
introduction to numerical methods by {Gene H. Golub}
and {James M. Ortega}",
journal = j-BAMS-NS,
volume = "28",
number = "2",
pages = "397--397",
month = apr,
year = "1993",
ISSN = "0273-0979 (print), 1088-9485 (electronic)",
bibdate = "Thu Jan 18 19:35:06 MST 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Young:1994:LAB,
author = "David M. Young and Jen-Yuan Chen",
title = "{LANGMRES} An Alternative to the Biconjugate Gradient
Method for Solving Large Sparse Nonsymmetric Linear
Systems",
crossref = "Brown:1994:PCL",
pages = "279--281",
year = "1994",
bibdate = "Sat Jun 11 17:22:09 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
}
@Article{Shaw:1995:ASA,
author = "Mary Shaw and Robert DeLine and Daniel V. Klein and
Theodore L. Ross and David M. Young and Gregory
Zelesnik",
title = "Abstractions for software architecture and tools to
support them",
journal = j-IEEE-TRANS-SOFTW-ENG,
volume = "21",
number = "4",
pages = "314--335",
month = apr,
year = "1995",
CODEN = "IESEDJ",
DOI = "https://doi.org/10.1109/32.385970",
ISSN = "0098-5589 (print), 1939-3520 (electronic)",
ISSN-L = "0098-5589",
bibdate = "Thu Feb 1 11:00:42 MST 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/ieeetranssoftweng1990.bib",
URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=385970",
acknowledgement = ack-nhfb,
fjournal = "IEEE Transactions on Software Engineering",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=32",
}
@Article{Young:1995:PGI,
author = "David M. Young and Shengyou Xiao and Karen R. Baker",
title = "Periodically generated iterative methods for solving
elliptic equations",
journal = j-APPL-NUM-MATH,
volume = "19",
number = "3",
pages = "375--387",
year = "1995",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(95)00092-5",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "65F10 (65N30)",
MRnumber = "1374358 (97c:65068)",
MRreviewer = "Guo Liang Chen",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "Special issue on iterative methods for linear
equations (Atlanta, GA, 1994)",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
}
@InProceedings{Young:1995:PIC,
author = "David M. Young and David R. Kincaid",
title = "Parallel implementation of a class of nonstationary
alternating-type methods",
crossref = "Bainov:1995:PTI",
pages = "219--222",
year = "1995",
MRclass = "65F10 (65Y05)",
MRnumber = "1455964",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Article{Young:1996:NCP,
author = "David M. Young and David R. Kincaid",
title = "A new class of parallel alternating-type iterative
methods",
journal = j-J-COMPUT-APPL-MATH,
volume = "74",
number = "1--2",
pages = "331--344",
year = "1996",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(96)00030-1",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65F10",
MRnumber = "1430380 (97k:65085)",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "TICAM Symposium (Austin, TX, 1995)",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Young:1997:GBA,
author = "David M. Young",
title = "{Garrett Birkhoff} and applied mathematics",
journal = j-NAMS,
volume = "44",
number = "11",
pages = "1446--1450",
year = "1997",
CODEN = "AMNOAN",
ISSN = "0002-9920 (print), 1088-9477 (electronic)",
ISSN-L = "0002-9920",
MRclass = "01A70",
MRnumber = "1488573",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Notices of the American Mathematical Society",
journal-URL = "http://www.ams.org/notices/",
}
@Article{Chen:1999:GMG,
author = "Jen-Yuan Chen and David R. Kincaid and David M.
Young",
title = "Generalizations and modifications of the {GMRES}
iterative method",
journal = j-NUMER-ALGORITHMS,
volume = "21",
number = "1--4",
pages = "119--146",
year = "1999",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1023/A:1019105328973",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65F10 (65H10)",
MRnumber = "1725721 (2000i:65044)",
MRreviewer = "Chun-Hua Guo",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "Numerical methods for partial differential equations
(Marrakech, 1998)",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Kincaid:2000:OML,
author = "David R. Kincaid and David M. Young and Jen-Yuan
Chen",
title = "An overview of {MGMRES} and {LAN}/{MGMRES} methods for
solving nonsymmetric linear systems",
journal = "Taiwanese J. Math.",
volume = "4",
number = "3",
pages = "385--396",
year = "2000",
ISSN = "1027-5487",
MRclass = "65F10 (65F30 65N30)",
MRnumber = "1779103",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
fjournal = "Taiwanese Journal of Mathematics",
}
@InCollection{Kincaid:2001:GGI,
author = "David R. Kincaid and Jen-Yuan Chen and David M.
Young",
title = "A generalized {GMRES} iterative method",
crossref = "Vulkov:2001:NAA",
volume = "1988",
pages = "475--481",
year = "2001",
DOI = "https://doi.org/10.1007/3-540-45262-1_55",
MRclass = "65F10",
MRnumber = "1938441",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
series = "Lecture Notes in Computer Science",
acknowledgement = ack-nhfb,
}
@Article{Kincaid:2003:VGI,
author = "David R. Kincaid and David M. Young and Jen-Yuan
Chen",
title = "Variations of the {GMRES} iterative method",
journal = j-APPL-NUM-MATH,
volume = "45",
number = "1",
pages = "3--10",
year = "2003",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/S0168-9274(02)00231-3",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "65F10",
MRnumber = "1975124",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "5th IMACS Conference on Iterative Methods in
Scientific Computing (Heraklion, 2001)",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics. An IMACS Journal",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
}
@Book{Young:2003:ISL,
author = "David M. Young",
title = "Iterative solution of large linear systems",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "xxvi + 570",
year = "2003",
ISBN = "0-486-42548-7",
ISBN-13 = "978-0-486-42548-1",
MRclass = "65-02 (65F10 65N22)",
MRnumber = "2000714",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "Unabridged republication of the 1971 edition [Academic
Press, New York-London, MR 305568]",
acknowledgement = ack-nhfb,
}
@Book{Hageman:2004:AIM,
author = "Louis A. Hageman and David M. Young",
title = "Applied Iterative Methods",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "xx + 386",
year = "2004",
ISBN = "0-486-43477-X",
ISBN-13 = "978-0-486-43477-3",
MRclass = "65-02 (65F10)",
MRnumber = "2096909 (2005e:65001)",
bibdate = "Tue Feb 15 08:56:10 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "Unabridged republication of the 1981 original",
abstract = "This graduate-level text examines the practical use of
iterative methods in solving large, sparse systems of
linear algebraic equations and in resolving
multidimensional boundary-value problems. Topics
include polynomial acceleration of basic iterative
methods, Chebyshev and conjugate gradient acceleration
procedures applicable to partitioning the linear system
into a ``red/black'' block form, more.",
acknowledgement = ack-nhfb,
}
@Book{Ames:1964:NPE,
editor = "William F. Ames",
title = "Nonlinear Problems of Engineering",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiv + 252",
year = "1964",
LCCN = "TA331 .A4",
bibdate = "Thu Jan 18 13:59:28 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "Fifteen lectures delivered at a seminar conducted by
the Dept. of Mechanical Engineering, University of
Delaware, at the university, June 19--21, 1963.",
acknowledgement = ack-nhfb,
xxISBN = "none",
}
@Book{Nash:1990:HSC,
editor = "Stephen G. Nash",
booktitle = "A History of Scientific Computing",
title = "A History of Scientific Computing",
publisher = pub-AW # " and " # pub-ACM,
address = pub-AW # " and " # pub-ACM:adr,
pages = "xix + 359",
year = "1990",
ISBN = "0-201-50814-1",
ISBN-13 = "978-0-201-50814-7",
LCCN = "QA76.17 .H59 1990",
bibdate = "Wed Dec 15 10:39:57 1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib;
z3950.loc.gov:7090/Voyager",
series = "ACM Press history series",
acknowledgement = ack-nhfb,
remark = "Based on papers presented at the Conference on the
History of Scientific and Numeric Computation, held in
Princeton, NJ, 1987. A few brief mentions of Alston
Householder are indexed in the book, with photographs
of him on pages xvi and 344.",
subject = "Electronic data processing; History; Science; Data
processing",
tableofcontents = "Remembrance of things past / Herman H. Goldstine /
5--16 \\
The contribution of J. H. Wilkinson to numerical
analysis / B. N. Parlett / 17--30 \\
The influence of George Forsythe and his students /
James Varah / 31--40 \\
Howard H. Aiken and the computer / I. Bernard Cohen /
41--52 \\
Particles in their self-consistent field: from
Hartree's differential analyzer to Cray machines /
Oscar Buneman / 57--62 \\
Fluid dynamics, reactor computations, and surface
representation / Garrett Birkhoff / 63--87 \\
The development of ODE methods: a symbiosis between
hardware and numerical analysis / C. W. Gear and R. D.
Skeel / 88--105 \\
A personal retrospection of reservoir simulation /
Donald W. Peaceman / 106--129 \\
How the FFT gained acceptance / James W. Cooley /
133--140 \\
Origins of the simplex method / George B. Dantzig /
141--151 \\
Historical comments on finite elements / J. Tinsley
Oden / 152--166 \\
Conjugacy and gradients / Magnus R. Hestenes / 167--179
\\
A historical review of iterative methods / David M.
Young / 180--194 \\
Shaping the evolution of numerical analysis in the
computer age: the SIAM thrust / I. Edward Block /
199--205 \\
Reminiscences on the University of Michigan summer
schools, the Gatlinburg Symposia, and Numerische
Mathematik / Richard S. Varga / 206--210 \\
The origin of mathematics of computation and some
personal recollections / Eugene Isaacson / 211--216 \\
Mathematical software and ACM publications / John R.
Rice / 217--227 \\
BIT --- a child of the computer / Carl-Erik Fr{\"o}berg
/ 228--233 \\
The Los Alamos experience, 1943--1954 / N. Metropolis /
237--250 \\
The prehistory and early history of computation at the
U.S. National Bureau of Standards / John Todd /
251--268 \\
Programmed computing at the Universities of Cambridge
and Illinois in the early fifties / David J. Wheeler /
269--279 \\
Early numerical analysis in the United Kingdom / L. Fox
/ 280--300 \\
The pioneer days of scientific computing in Switzerland
/ Martin H. Gutknecht / 301--313 \\
The development of computational mathematics in
Czechoslovakia and the USSR / I. Babuska / 314--328 \\
The contribution of Leningrad mathematicians to the
development of numerical linear algebra, 1950--1986 /
V. N. Kublanovskaya / 329--338",
}
@Article{Axelsson:2010:PSI,
author = "Owe Axelsson and David R. Kincaid",
title = "Preface [Special issue: dedicated to the memory of
{David M. Young, Jr.}]",
journal = j-NUM-LIN-ALG-APPL,
volume = "17",
number = "5",
pages = "741--742",
month = oct,
year = "2010",
CODEN = "NLAAEM",
DOI = "https://doi.org/10.1002/nla.752",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "65-06",
MRnumber = "2722643",
bibdate = "Sat Sep 24 18:02:02 2011",
bibsource = "http://www.interscience.wiley.com/jpages/1070-5325;
http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www3.interscience.wiley.com/journalfinder.html",
abstract = "This special issue is dedicated to the memory of David
M. Young, Jr. (October 20, 1923--December 21, 2008),
who was an American mathematician and computer
scientist affiliated with The University of Texas at
Austin for most of his life.",
acknowledgement = ack-nhfb,
fjournal = "Numerical linear algebra with applications",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
onlinedate = "28 Sep 2010",
}
@Article{Kincaid:2010:LTD,
author = "David R. Kincaid and Richard S. Varga and Charles H.
Warlick",
title = "The life and times of {Dr. David M. Young, Jr.}",
journal = j-NUM-LIN-ALG-APPL,
volume = "17",
number = "5",
pages = "743--757",
month = oct,
year = "2010",
CODEN = "NLAAEM",
DOI = "https://doi.org/10.1002/nla.690",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "01A70 (65-03)",
MRnumber = "2722644",
bibdate = "Sat Sep 24 18:02:02 2011",
bibsource = "http://www.interscience.wiley.com/jpages/1070-5325;
http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www3.interscience.wiley.com/journalfinder.html",
acknowledgement = ack-nhfb,
fjournal = "Numerical linear algebra with applications",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
onlinedate = "27 Jan 2010",
}
@InCollection{Engeli:1959:YO,
author = "Max Engeli and Theo. Ginsburg and Heinz Rutishauser
and Eduard L. Stiefel",
title = "Young's overrelaxation",
crossref = "Engeli:1959:RIM",
chapter = "IV.1",
pages = "??--??",
year = "1959",
bibdate = "Tue Jun 19 05:59:17 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Kincaid:2004:CFY,
author = "David R. Kincaid",
title = "Celebrating Fifty Years of {David M. Young}'s
Successive Overrelaxation Method",
crossref = "Feistauer:2004:NMA",
pages = "549--558",
year = "2004",
DOI = "https://doi.org/10.1007/978-3-642-18775-9_52",
MRclass = "65F10",
MRnumber = "2121401",
bibdate = "Mon Feb 11 11:34:40 2019",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
abstract = "It has been over fifty years since David M. Young's
original work on the successive overrelaxation (SOR)
methods. This fundamental method now appears in all
textbooks containing an introductory discussion of
iterative solution methods. (Most often the SOR method
appears after a presentation of Jacobi iteration and
Gauss--Seidel iteration and before the conjugate
gradient iterative method.) We present a brief survey
of some of the research of Professor David M. Young,
together with his students and collaborators, on
iterative methods for solving large sparse linear
algebraic equations. This is not a complete survey but
just a sampling of various papers with a focus on some
of these publications. Dr. David M. Young's doctoral
thesis [27] was accepted in 1950 by his supervising
Professor Garrett Birkhoff of Harvard University and
his paper [28] based this work appeared in 1954. This
is one of the landmark contributions in modern
numerical analysis. The red-black ordering for matrices
is of great importance in parallel computing. Gene
Golub has said: ``It's almost as if David could see
into the future!'' David Young celebrated his 80th
birthday on October 20, 2003",
acknowledgement = ack-nhfb,
}
@Article{Yang:2014:AJI,
author = "Xiyang I. A. Yang and Rajat Mittal",
title = "Acceleration of the {Jacobi} iterative method by
factors exceeding $ 100 $ using scheduled relaxation",
journal = j-J-COMPUT-PHYS,
volume = "274",
number = "??",
pages = "695--708",
day = "1",
month = oct,
year = "2014",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/j.jcp.2014.06.010",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sat Aug 16 08:09:38 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999114004173",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Proceedings{Beckenbach:1952:CAC,
editor = "E. F. Beckenbach",
booktitle = "{Construction and applications of conformal maps.
Proceedings of a symposium held on June 22--25, 1949,
at the Institute for Numerical Analysis of the National
Bureau of Standards at the University of California,
Los Angeles}",
title = "{Construction and applications of conformal maps.
Proceedings of a symposium held on June 22--25, 1949,
at the Institute for Numerical Analysis of the National
Bureau of Standards at the University of California,
Los Angeles}",
volume = "18",
publisher = pub-USGPO,
address = pub-USGPO:adr,
pages = "vi + 280",
year = "1952",
LCCN = "QA3 .U5 no.18 Bar",
bibdate = "Thu Jan 18 14:04:44 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
series = "National Bureau of Standards Applied Mathematics
Series",
acknowledgement = ack-nhfb,
xxISBN = "none",
}
@Proceedings{Curtiss:1956:NAP,
editor = "J. H. Curtiss",
booktitle = "{Numerical analysis. [Proceedings of the Sixth
Symposium in Applied Mathematics of the American
Mathematical Society}",
title = "{Numerical analysis. [Proceedings of the Sixth
Symposium in Applied Mathematics of the American
Mathematical Society}",
volume = "6",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "vi + 303",
year = "1956",
LCCN = "QA297 .S9 1953",
bibdate = "Tue Jun 19 05:44:08 MDT 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
z3950.loc.gov:7090/Voyager",
series = "Proceedings of Symposia in Applied Mathematics",
acknowledgement = ack-nhfb,
meetingname = "Symposium in Applied Mathematics (6th : 1953 : Santa
Monica City College)",
remark = "Published for the American Mathematical Society,
Providence, RI, USA.",
subject = "Numerical calculations; Congresses",
tableofcontents = "1. Computational problems in the theory of dynamic
programming / Bellman \\
2. Some methods for solutions of boundary-value
problems in linear partial differential equations /
Bergman \\
J. Computational aspects of certain combinatorial
problems / Bruck \\
4. Numerical results in the shock configuration in mach
re fleet ion / Clutterham and Taub \\
5. Some applications of gradient methods / Fischbach
\\
6. Some qualitative comments on stability in partial
differential equations / Frankel \\
7. Approximations in numerical analysis / Hastings,
Hayward, Wong \\
8. The conjugate-gradient method for solving linear
systems / Hestenes \\
9. Number theory on the SWAC / Lehmer \\
10. The assignment problem / Motzkin \\
11. The method of steepest descent / Rosenbloom \\
12. Function spaces and approximation / Sard \\
13. Some computational problems in algebraic number
theory / Taussky \\
14. Machine attacks on problems whose variables are
permutations / Thompkins \\
15. Best-approximation polynomials of given degree /
Walsh \\
16. Recent results in numerical methods of conformal
mapping / Warschawskl \\
17. On the asymptotic transformation of certain
distributions into the normal distribution / Wasow \\
18. Error bounds for eigenvalues of symmetric integral
equations / Wielandt \\
19. On the solution of linear systems by iteration /
Young",
}
@Book{Engeli:1959:RIM,
author = "Max Engeli and Theo. Ginsburg and Heinz Rutishauser
and Eduard L. Stiefel",
booktitle = "Refined Iterative Methods for Computation of the
Solution and the Eigenvalues of Self-adjoint Boundary
Value Problems",
title = "Refined Iterative Methods for Computation of the
Solution and the Eigenvalues of Self-adjoint Boundary
Value Problems",
volume = "8",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "107",
year = "1959",
LCCN = "QA3 .Z8 v.8; QA371",
bibdate = "Tue Jun 19 05:53:58 MDT 2018",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
remark = "Mitteilungen aus dem Institut f{\"u}r angewandte
Mathematik an der Eidgen{\"o}ssischen Technischen
Hochschule in Z{\"u}rich. no. 8.",
tableofcontents = "I: The Self-Adjoint Boundary Value Problem \\
1. Problems of Dirichlet's and Poisson's type \\
2. Better approximations \\
3. Energy on the boundary \\
4. Eigenvalue problems \\
5. Biharmonic problems \\
6. Adaption for practical purposes; the test example
\\
7. Modes of oscillation of the plate \\
II: Theory of Gradient Methods \\
1. Introduction \\
2. The residual polynomial \\
3. Methods with two-term recursive formulae \\
4. Methods with three-term recursive formulae \\
5. Combined methods \\
6. The CGT-method \\
7. Determination of eigenvalues \\
III: Experiments on Gradient Methods \\
1. Introduction \\
2. Survey of the plate experiments \\
3. Solution of the system $A x + b = 0$ (Plate problem
with coarse grid) \\
4. Determination of the eigenvalues of $A$ \\
5. Solution of the system $A x + b = 0$ and
determination of the eigenvalues of $A$; fine grid \\
6. Second test example: the bar problem \\
7. Appendix: The first three eigenvectors of $A$ \\
IV: Overrelaxation \\
1. Theory (general relaxation, overrelaxation,
`property $A$', Young's overrelaxation; different
methods) \\
2. Numerical results (Plate problem) \\
3. The bar problem \\
V: Conclusions \\
1. The plate problem \\
2. The bar problem \\
3. Computation of eigenvalues \\
4. Recollection of the facts \\
References",
}
@Book{Todd:1962:SNA,
editor = "John Todd",
booktitle = "Survey of Numerical Analysis",
title = "Survey of Numerical Analysis",
publisher = pub-MCGRAW-HILL,
address = pub-MCGRAW-HILL:adr,
pages = "xvi + 589",
year = "1962",
LCCN = "QA297 .T63",
MRclass = "65.00",
MRnumber = "0135221 (24 \#B1271)",
bibdate = "Tue Mar 27 17:58:56 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib",
URL = "https://babel.hathitrust.org/cgi/pt?id=mdp.39015000983901",
acknowledgement = ack-nhfb,
author-dates = "Philip J. Davis (2 January 1923--13 March 2018); John
Todd (16 May 1911--21 June 2007)",
tableofcontents = "1: Motivation for working in numerical analysis /
John Todd / 1--26 \\
2: Classical numerical analysis / John Todd / 27--118
\\
3: The constructive theory of functions / 119--159 /
\\
4: Automatic computers / Morris Newman and John Todd /
160--207 \\
5: Use and limitation of computers / Harvey Cohn /
208--221 \\
6: Matrix computations / Morris Newman / 222--254 \\
7: Numerical methods for finding solutions of nonlinear
equations / Urs Hochstrasser / 255-- 78 \\
8a: Eigenvalues of finite matrices: Some topics
concerning bounds for eigenvalues of finite matrices /
Olga Taussky / 279--297 \\
8b: Eigenvalues of finite matrices: Hermitian Forms and
Eigenvalues / Marvin Marcus / 298---313 \\
9: Numerical methods in ordinary differential equations
/ Henry A. Antosiewicz and Walter Gautschi / 314--346
\\
10: Orthonormalizing codes in numerical analysis /
Philip J. Davis / 347--379 \\
11: The numerical solution of elliptic and parabolic
partial differential equations / David M. Young, Jr. /
380--438 \\
12: Numerical methods for integral equations / H.
B{\"u}cker / 439--467 \\
13: Errors of numerical approximation for analytic
functions / Philip J. Davis / 468--484 \\
14: Numerical analysis and functional analysis / Henry
A. Antosiewicz and Werner C. Rheinboldt / 485--517 /
\\
15: Discrete problems / Marshall Hall, Jr. / 518--542
\\
16a: Number Theory: Some Illustrative Computations in
Algebraic Number Theory / Harvey Cohn / 543--548 \\
16b: Number Theory: Some Computational Problems in
Algebraic Number Theory / Olga Taussky / 549--557 \\
17: Linear estimation and related topics / Marvin Zelen
/ 558--584 \\
Index / 585--589",
}
@Proceedings{Rall:1965:EDCb,
editor = "L. B. Rall",
booktitle = "Error in Digital Computation",
title = "Error in Digital Computation",
volume = "2",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "288",
year = "1965",
MRclass = "65.80",
MRnumber = "MR0189284 (32 \#6711)",
MRreviewer = "J. M. Ortega",
bibdate = "Tue Aug 15 18:20:34 MDT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/moore-ramon-e.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "Proceedings of an advanced seminar conducted by the
Mathematics Research Center, United States Army, at the
University of Wisconsin, Madison, October 5--7, 1964.",
tableofcontents = "1. Experimental investigation of unnormalize1
arithmetic / Ashenhurst \\
2. Error bounds for computations with continued
fractions / Henrici \\
3. Error bounds for asymptotic expansions of special
functions in the complex plane / Olver \\
4. Error analysis for transformations based on the use
of matrices of the form $I -2 w w^H$. / Wilkinson \\
5. Automatic local coordinate transformations to reduce
the growth of error bounds in interval computation of
solutions of ordinary differential equations / Moore
\\
6. Differential inequalities and error bounds /
Schroder \\
7. Discrete representations of partial differential
operators / Young and Dauwalder \\
8. Upper and lower bounds for solutions of integral
equations / Brown \\
9. Convergence ana error bounds for approximate
solutions of integral and operator equations / Anselone
\\
10. Applications of functional analysis to error
estimation / Collatz \\
11. Error in the solution of linear programming
problems / Wolfe",
}
@Proceedings{Morrell:1970:IPP,
editor = "A. J. H. Morrell",
booktitle = "{Information Processing 68 (Proc. IFIP Congress,
Edinburgh, 1968), Vol. 1: Mathematics, Software}",
title = "{Information Processing 68 (Proc. IFIP Congress,
Edinburgh, 1968), Vol. 1: Mathematics, Software}",
publisher = pub-NH,
address = pub-NH:adr,
pages = "various",
year = "1970",
ISBN = "0-7204-2032-6",
ISBN-13 = "978-0-7204-2032-6",
LCCN = "QA 75.5 I57 1968",
bibdate = "Thu Jan 18 13:48:59 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Rheinboldt:1972:NSS,
editor = "Werner C. Rheinboldt",
booktitle = "{Numerical solution of systems of nonlinear algebraic
equations (NSF-CBMS Regional Conference, University of
Pittsburgh, Pittsburgh, PA, July 10--14, 1972)}",
title = "{Numerical solution of systems of nonlinear algebraic
equations (NSF-CBMS Regional Conference, University of
Pittsburgh, Pittsburgh, PA, July 10--14, 1972)}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "ix + 417",
year = "1972",
ISBN = "0-12-148950-7",
ISBN-13 = "978-0-12-148950-2",
LCCN = "QA218 .N22 1972",
bibdate = "Wed Jan 17 10:54:28 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Gram:1973:NSP,
editor = "J. G. Gram",
booktitle = "{Numerical solution of partial differential equations:
Proceedings of the NATO Advanced Study Institute held
at Kjeller, Norway, August 20--24, 1973}",
title = "{Numerical solution of partial differential equations:
Proceedings of the NATO Advanced Study Institute held
at Kjeller, Norway, August 20--24, 1973}",
volume = "2",
publisher = pub-REIDEL,
address = pub-REIDEL:adr,
pages = "271",
year = "1973",
ISBN = "90-277-0413-9",
ISBN-13 = "978-90-277-0413-9",
LCCN = "QA374.N37 1973",
bibdate = "Wed Jan 17 10:46:05 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
series = "NATO advanced study institutes series. Series C:
Mathematical and physical sciences",
acknowledgement = ack-nhfb,
}
@Proceedings{Watson:1974:CNS,
editor = "G. A. Watson",
booktitle = "{Conference on the Numerical Solution of Differential
Equations: Dundee 1973}",
title = "{Conference on the Numerical Solution of Differential
Equations: Dundee 1973}",
volume = "363",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 221",
year = "1974",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0069119",
ISBN = "0-387-06617-9, 3-540-06617-9 (print), 3-540-37914-2
(e-book)",
ISBN-13 = "978-0-387-06617-2, 978-3-540-06617-0 (print),
978-3-540-37914-0 (e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
LCCN = "QA3.L28 no.363",
bibdate = "Tue May 6 14:52:09 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/lnm1970.bib",
series = ser-LECT-NOTES-MATH,
URL = "http://link.springer.com/book/10.1007/BFb0069119;
http://www.springerlink.com/content/978-3-540-37914-0",
acknowledgement = ack-nhfb,
series-URL = "http://link.springer.com/bookseries/304",
}
@Book{Oden:1975:LNM,
editor = "J. T. Oden",
booktitle = "Lecture Notes in Mathematics--Computational
Mechanics",
title = "Lecture Notes in Mathematics--Computational
Mechanics",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vi + 328",
year = "1975",
ISBN = "0-387-07169-5",
ISBN-13 = "978-0-387-07169-5",
LCCN = "QA3 .L35 v.461",
bibdate = "Wed Jan 17 10:22:44 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Book{Whiteman:1976:MFE,
editor = "J. R. Whiteman",
booktitle = "Mathematics of Finite Elements and Applications II",
title = "Mathematics of Finite Elements and Applications {II}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiii + 573",
year = "1976",
ISBN = "0-12-747252-5",
ISBN-13 = "978-0-12-747252-2",
LCCN = "TA347 F5 M37 1975",
bibdate = "Wed Jan 17 10:22:50 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Book{Belzer:1979:ECS,
editor = "Jack Belzer and Albert G. Holzman and Allen Kent",
booktitle = "Encyclopedia of Computer Sciences and Technology",
title = "Encyclopedia of Computer Sciences and Technology",
publisher = pub-DEKKER,
address = pub-DEKKER:adr,
pages = "various",
year = "1979",
ISBN = "0-8247-2251-5",
ISBN-13 = "978-0-8247-2251-7",
LCCN = "QA76.15 .E5",
bibdate = "Wed Jan 17 10:24:10 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "32 volumes (1975--1995).",
acknowledgement = ack-nhfb,
}
@Proceedings{Vichnevetsky:1979:ACM,
editor = "R. Vichnevetsky and R. S. Stepleman",
booktitle = "{Advances in Computer Methods for Partial Differential
Equations III: Proceedings of the third IMACS
International Symposium on Computer Methods for Partial
Differential Equations held at Lehigh University,
Bethlehem, Pennsylvania, USA, June 20--22, 1979}",
title = "{Advances in Computer Methods for Partial Differential
Equations III: Proceedings of the third IMACS
International Symposium on Computer Methods for Partial
Differential Equations held at Lehigh University,
Bethlehem, Pennsylvania, USA, June 20--22, 1979}",
volume = "III",
publisher = pub-IMACS,
address = pub-IMACS:adr,
pages = "vi + 442",
year = "1979",
LCCN = "????",
bibdate = "Wed Jan 17 10:25:46 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
xxISBN = "none",
}
@Proceedings{xxx:1979:SRS,
key = "SRS'79",
booktitle = "{Symposium on Reservoir Simulation, Denver, Colorado,
January 31, February 1--2, 1979}",
title = "{Symposium on Reservoir Simulation, Denver, Colorado,
January 31, February 1--2, 1979}",
volume = "SPE 7687",
publisher = pub-SOC-PETRO-ENG-AIME,
address = pub-SOC-PETRO-ENG-AIME:adr,
pages = "261",
year = "1979",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Wed Jan 17 10:23:00 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Book{Schultz:1981:EPS,
editor = "Martin Schultz",
booktitle = "Elliptic Problem Solvers",
title = "Elliptic Problem Solvers",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiii + 444",
year = "1981",
ISBN = "0-12-632620-7",
ISBN-13 = "978-0-12-632620-8",
LCCN = "QA377 .E53 1980",
bibdate = "Wed Jan 17 10:26:10 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{xxx:1982:PSC,
key = "ISVPA'82",
booktitle = "{Proceedings, International Symposium on Vector
Processing Applications (1982: Colorado State
University)}",
title = "{Proceedings, International Symposium on Vector
Processing Applications (1982: Colorado State
University)}",
publisher = pub-CSU,
address = pub-CSU:adr,
pages = "various",
year = "1982",
LCCN = "????",
bibdate = "Wed Jan 17 10:27:35 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
xxISBN = "none",
}
@Proceedings{Gary:1983:CAS,
editor = "J. Patrick Gary",
booktitle = "{CYBER 200 Applications Seminar: Proceedings of a
seminar sponsored by NASA Goddard Space Flight Center
and Control Data Corporation and held in Lanham,
Maryland, October 10--12, 1983}",
title = "{CYBER 200 Applications Seminar: Proceedings of a
seminar sponsored by NASA Goddard Space Flight Center
and Control Data Corporation and held in Lanham,
Maryland, October 10--12, 1983}",
volume = "2295",
publisher = pub-NASA-SCI-TECH-INFO-RES,
address = pub-NASA-SCI-TECH-INFO-RES:adr,
pages = "x + 370",
year = "1983",
LCCN = "QA76.8.C94 C94 1983",
bibdate = "Thu Jan 18 19:11:45 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
series = "NASA Conference Publication",
acknowledgement = ack-nhfb,
xxISBN = "none",
}
@Proceedings{Birkhoff:1984:EPS,
editor = "Garrett Birkhoff and Arthur Schoenstadt",
booktitle = "{Elliptic Problem Solvers II (Monterey, Calif.,
1983)}",
title = "{Elliptic Problem Solvers II (Monterey, Calif.,
1983)}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiii + 573",
year = "1984",
ISBN = "0-12-100560-7",
ISBN-13 = "978-0-12-100560-3",
LCCN = "QA377 .E533 1983",
bibdate = "Fri Jan 19 06:34:20 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "Proceedings of the Elliptic Problem Solvers
Conference, sponsored by the Mathematics and Mechanics
Branch, Office of Naval Research, held in Monterey,
California, January 10--12, 1983",
acknowledgement = ack-nhfb,
}
@Proceedings{Engquist:1984:PSM,
editor = "B. Engquist and T. Smedsass",
booktitle = "{PDE Software: Modules, Interfaces and Systems:
Proceedings of the IFIP TC 2 Working Conference on PDE
Software--Modules, Interfaces, and Systems,
S{\"o}derk{\"o}ping, Sweden, 22--26 August, 1983}",
title = "{PDE Software: Modules, Interfaces and Systems:
Proceedings of the IFIP TC 2 Working Conference on PDE
Software--Modules, Interfaces, and Systems,
S{\"o}derk{\"o}ping, Sweden, 22--26 August, 1983}",
publisher = pub-ELS-NH,
address = pub-ELS-NH:adr,
pages = "ix + 453",
year = "1984",
ISBN = "0-444-87620-0",
ISBN-13 = "978-0-444-87620-1",
LCCN = "QA377 .I44 1983",
bibdate = "Fri Jan 19 06:36:14 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Lakshmikantham:1984:TTP,
editor = "V. Lakshmikantham",
booktitle = "{Trends in the Theory and Practice of Non-linear
Analysis: Proceedings of the VIth International
Conference on Trends in the Theory and Practice of
Non-Linear Analysis held at the University of Texas at
Arlington, June 18--22, 1984}",
title = "{Trends in the Theory and Practice of Non-linear
Analysis: Proceedings of the VIth International
Conference on Trends in the Theory and Practice of
Non-Linear Analysis held at the University of Texas at
Arlington, June 18--22, 1984}",
publisher = pub-ELS-NH,
address = pub-ELS-NH:adr,
pages = "x + 491",
year = "1984",
ISBN = "0-444-87704-5",
ISBN-13 = "978-0-444-87704-8",
LCCN = "QA299.6 .I57 1984",
bibdate = "Fri Jan 19 06:31:47 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Vichnevetsky:1984:ACM,
editor = "R. Vichnevetsky and R. S. Stepleman",
booktitle = "{Advances in Computer Methods for Partial Differential
Equations V: Proceedings of the fifth IMACS
International Symposium on Computer Methods for Partial
Differential Equations, held at Lehigh University,
Bethlehem, Pennsylvania, USA, June 19--June 21, 1984}",
title = "{Advances in Computer Methods for Partial Differential
Equations V: Proceedings of the fifth IMACS
International Symposium on Computer Methods for Partial
Differential Equations, held at Lehigh University,
Bethlehem, Pennsylvania, USA, June 19--June 21, 1984}",
publisher = pub-IMACS,
address = pub-IMACS:adr,
pages = "558",
year = "1984",
LCCN = "QA377 .I2 1984",
bibdate = "Fri Jan 19 06:27:21 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
xxISBN = "none",
}
@Book{Rice:1985:SEP,
editor = "John R. Rice and Ronald F. Boisvert",
booktitle = "{Solving Elliptic Problems Using ELLPACK}",
title = "{Solving Elliptic Problems Using ELLPACK}",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr,
pages = "x + 497",
year = "1985",
ISBN = "0-387-90910-9, 3-540-90910-9",
ISBN-13 = "978-0-387-90910-3, 978-3-540-90910-1",
LCCN = "QA377 .R53 1985",
bibdate = "Fri Jan 19 06:39:01 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{xxx:1985:PCV,
editor = "????",
booktitle = "{Proceedings of the Conference Vector and Parallel
Processors for Scientific Computation}",
title = "{Proceedings of the Conference Vector and Parallel
Processors for Scientific Computation}",
publisher = pub-ACC-LINCEI,
address = pub-ACC-LINCEI:adr,
pages = "????",
month = may,
year = "1985",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Fri Jan 19 06:53:18 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Datta:1986:LAS,
editor = "Biswa Nath Datta and others",
booktitle = "{Linear algebra in signals, systems, and control:
Proceedings of the Conference on Linear Algebra in
Signals, Systems, and Control, Boston, Massachusetts,
August 12--14, 1986}",
title = "{Linear algebra in signals, systems, and control:
Proceedings of the Conference on Linear Algebra in
Signals, Systems, and Control, Boston, Massachusetts,
August 12--14, 1986}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xiii + 667",
year = "1986",
ISBN = "0-89871-223-8",
ISBN-13 = "978-0-89871-223-0",
LCCN = "QA184.C66 1986",
bibdate = "Wed Jan 17 10:37:24 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Stone:1986:FJC,
editor = "H. S. Stone and S. Winkler",
booktitle = "{Fall Joint Computer Conference Proceedings: November
2--6, 1986, INFOMART, Dallas, Texas}",
title = "{Fall Joint Computer Conference Proceedings: November
2--6, 1986, INFOMART, Dallas, Texas}",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "xxvi + 1248",
year = "1986",
ISBN = "0-8186-4743-4 (microfiche), 0-8186-8743-6 (hardcover),
0-8186-0743-2 (paperback)",
ISBN-13 = "978-0-8186-4743-7 (microfiche), 978-0-8186-8743-3
(hardcover), 978-0-8186-0743-1 (paperback)",
LCCN = "QA75.5 .F35 1986",
bibdate = "Fri Jan 19 06:42:11 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "IEEE catalog number 86CH2345-7. Computer Society order
number 743. ACM order number 401860.",
acknowledgement = ack-nhfb,
}
@Proceedings{Cray:1987:SEC,
editor = "{Cray Research, Inc.}",
booktitle = "{Science and engineering on Cray supercomputers:
Proceedings of the third international symposium,
Minneapolis, Minnesota, September 9--11, 1987}",
title = "{Science and engineering on Cray supercomputers:
Proceedings of the third international symposium,
Minneapolis, Minnesota, September 9--11, 1987}",
publisher = pub-CRAY,
address = pub-CRAY:adr,
pages = "643",
year = "1987",
LCCN = "QA76.5 .I586 1987",
bibdate = "Fri Jan 19 06:55:02 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
xxISBN = "none",
}
@Book{Carey:1988:PSM,
editor = "Graham F. Carey",
booktitle = "{Parallel Supercomputing: Methods, Algorithms and
Applications}",
title = "{Parallel Supercomputing: Methods, Algorithms and
Applications}",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "x + 287",
year = "1988",
ISBN = "0-471-92436-9",
ISBN-13 = "978-0-471-92436-4",
LCCN = "QA76.5 .P314951 1989",
bibdate = "Fri Jan 19 06:57:24 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
series = "Wiley series in parallel computing",
acknowledgement = ack-nhfb,
}
@Proceedings{xxx:1989:PUC,
editor = "????",
booktitle = "{Purdue University} Conference Proceedings honoring
{Dr. S. D. Conte}",
title = "{Purdue University} Conference Proceedings honoring
{Dr. S. D. Conte}",
publisher = "????",
address = "????",
pages = "????",
year = "1989",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Fri Jan 19 07:02:54 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Kincaid:1990:IML,
editor = "David R. Kincaid and Linda J. Hayes",
booktitle = "{Iterative methods for large linear systems (Austin,
TX, October 19--21, 1988)}",
title = "{Iterative methods for large linear systems (Austin,
TX, October 19--21, 1988)}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xxx + 319",
year = "1990",
ISBN = "0-12-407475-8",
ISBN-13 = "978-0-12-407475-0",
LCCN = "QA432 .I84 1990",
bibdate = "Fri Jan 19 06:59:41 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "Papers from a conference held Oct. 19--21, 1988, at
the Center for Numerical Analysis of the University of
Texas at Austin. Banquet in honour of David M. Young's
65th birthday.",
acknowledgement = ack-nhfb,
tableofcontents = "Front Cover \\
Iterative Methods for Large Linear Systems \\
Copyright Page \\
Preface \\
Authors of Chapters \\
Papers Presented at Conference \\
Professor David M. Young, Jr. \\
Photographs from Conference \\
Table of Contents \\
1. Fourier Analysis of Two-Level Hierarchical Basis
Preconditioners \\
1 Introduction \\
2 1D, Linear S \\
3 2D, Bilinear S, Bilinear A \\
4 2D, Bilinear, 5-Point A \\
5 3D, Trilinear S, 7-Point A \\
6 Concluding Remarks \\
Acknowledgements \\
References \\
2. An Algebraic Framework for Hierarchical Basis
Functions Multilevel Methods or the Search for
`Optimal' Preconditioners \\
1 Introduction \\
2 The Algebraic Framework for Two-Level Hierarchical
Basis Function Methods \\
3 Recursive Definition of Preconditioner \\
4 The Relative Condition Number of $M$ with Respect to
$A$ \\
5 Concluding Remarks \\
References \\
3. ELLPACK and ITPACK as Research Tools for Solving
Elliptic Problems \\
1 Background \\
2 ELLPACK and ITPACK \\
3 Some Basic Questions \\
4 Direct vs. Iterative Methods \\
5 Different Elliptic Problems \\
6 Symmetry \\
7 Extended Network Analogy \\
8 Orders of Accuracy \\
9 Choice of Mesh \\
10 Computational Complexity \\
11 3D Problems \\
Acknowledgement \\
References \\
4. Preconditioned Iterative Methods for Indefinite
Symmetric Toeplitz Systems \\
1 Introduction \\
2 Toeplitz and Circulant Matrices \\
3 Solution Methods \\
4 Test Matrix Preconditioners \\
5 Test Matrices \\
6 Computed Spectra \\
Acknowledgements \\
References \\
5.A Local Relaxation Scheme (Ad-Hoc SOR) Applied to
Nine Point and Block Difference Equations \\
1 History \\
2 The Method \\
3 Nine Point Application: Cross Derivatives \\
4 Block Iteration \\
Acknowledgements \\
References \\
6. Block Iterative Methods for Cyclically Reduced
Non-Self-Adjoint Elliptic Problems \\
1 Introduction \\
2 The Reduced System for the Convection--Diffusion
Equation \\
3 Bounds for Solving the Convection--Diffusion Equation
\\
4 Numerical Experiments [??] \\
Acknowledgements \\
References \\
7. Toward an Effective Two-Parameter SOR Method \\
1 Background \\
2 Singular Value Decomposition and Orthogonal
Similarities \\
3 Two-Parameter SOR \\
4 A Numerical Example \\
Acknowledgements \\
References \\
Appendix \\
8. Relaxation Parameters for the IQE Iterative
Procedure for Solving Semi-Implicit Navier--Stokes
Difference Equations \\
1 Introduction \\
2 The Continuous and Discrete Problems \\
3 The IQE Iterative Method",
}
@Book{Beauwens:1992:IML,
editor = "R. Beauwens and R. {De Groen}",
booktitle = "Iterative Methods in Linear Algebra",
title = "Iterative Methods in Linear Algebra",
publisher = pub-ELS-NH,
address = pub-ELS-NH:adr,
pages = "xiii + 636",
year = "1992",
ISBN = "0-444-89248-6",
ISBN-13 = "978-0-444-89248-5",
LCCN = "QA184 .I44 1991",
bibdate = "Wed Jan 17 10:18:40 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Book{Rassias:1993:TPO,
editor = "Th. M. Rassias and H. M. Srivastava and A.
Yanushauskas",
booktitle = "Topics in polynomials of one and several variables and
their applications: volume dedicated to the memory of
{P. L. Chebyshev} (1821--1894)",
title = "Topics in polynomials of one and several variables and
their applications: volume dedicated to the memory of
{P. L. Chebyshev} (1821--1894)",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "ix + 638",
year = "1993",
ISBN = "981-02-0614-3",
ISBN-13 = "978-981-02-0614-7",
LCCN = "QA161.P59 T66 1993",
bibdate = "Wed Jan 17 10:16:21 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
URL = "http://www.zentralblatt-math.org/zmath/en/search/?an=0849.00029",
ZMnumber = "0849.00029",
acknowledgement = ack-nhfb,
subject-dates = "Pafnuti{\u{\i}} Lvovich Chebyshev (1821--1894)",
tableofcontents = "Preface / / v \\
On the Characterization of Chebyshev Systems and on
Conditions of Their Extension / Y. G. Abakumow / 1 \\
Characterizations for the Existence of a Solution to
the Moment Problem on a Finite Number of Intervals /
Wm. R. Allaway \& X. Liu / 9 \\
Some Results on Compositions of Algebra-Valued Abstract
Polynomials / A. M. Al Rashed \& N. Zaheer / 35 \\
Discontinuous Alternation from a Singularity / A.
Bacopoulos / 43 \\
Some Inequalities for Polynomials / M. Bidkham \& K. K.
Dewan / 57 \\
Rate of Convergence of Linear Mean Subsequencies of
Fourier Sums / N. K. Bliev \& L. P. Falaleev / 65 \\
On Markov and Sobolev Type Inequalities on Compact Sets
in $\mathbb{R}^n$ / L. P. Bos \& P. D. Milman / 81 \\
Application of Chebyshev Polynomials to Antenna Design
/ J. L. Brenner / 101 \\
A Set of Research Problems in Approximation Theory / E.
W. Cheney \& Y. Xu / 109 \\
On Lagrange Polynomial Quasi-Interpolation / C. K.
Chui, X. C. Shen \& L. Zhong / 125 \\
The Convexity of Chebyshev Sets in Hilbert Space . / F.
Deutsch / 143 \\
Trigonometric Symmetries: Four-Dimensional Identities
of Modified Chebyshev Polynomials / M. Dombroski / 151
\\
On the Completeness of Orthogonal Polynomials in
Left-Definite Sobolev Spaces / W. N. Everitt, L. L.
Littlejohn \& R. Wellman / 173 \\
Inequalities for Polynomials and Trigonometric
Polynomials Related to the Bernstein Inequality / T. G.
Genchev / 197 \\
Miscellaneous Problems Solved in Terms of Chebyshev's
Orthogonal Polynomials of the First and the Second Kind
/ C. C. Grosjean / 209 \\
A New Method for Generating Infinite Sets of Related
Sequences of Orthogonal Polynomials, Starting from
First-Order Initial-Value Problems 24 / C. C. Grosjean
/ 7 \\
Some Remarks for the Methods to Find All the Zeros of a
Polynomial Simultaneously / M. Igarashi / 273 \\
Interpolatory Properties of Chebyshev Polynomials / N.
Jhunjhunwala, J. Prasad \& A. K. Varma / 287 \\
Orthogonal Polynomials on $n$-Spheres: Gegenbauer,
Jacobi and Heun / E. G. Kalnins \& W. Miller, Jr. /
299 \\
Rational Approximations: A Tau Method Approach / H. G.
Khajah \& E. L. Ortiz / 323 \\
On the Rational Chebyshev Approximants to a Real-Valued
Function with an Unbounded Number of the Poles / R. K.
Kovacheva / 335 \\
Orthogonal Polynomials and Ordinary Differential
Equations / A. M. Krall / 347 \\
Theory and Applications of Dickson Polynomials / R.
Lidl / 371 \\
Some Bilinear Formulas and Integral Equations for
Chebyshev Polynomials / R. F. Millar / 397 \\
On some Tur{\'a}n's Extremal Problems for Algebraic
Polynomials / G. V. Milovanovic, D. S. Mitrinovic \&
Th. M. Rassias / 403 \\
Extremal Problems for Polynomials and Their
Coefficients / G. V. Milovanovic, /. i. Milovanovic \&
L. Z. Marinkovic / 435 \\
An Application of the Chebyshev Integral Inequality /
D. S. Mitrinovic \& J. E. Pecaric / 457 \\
Some Recent Advances in the Theory of the Zeros and
Critical Points of a Polynomial / Th. M. Rassias \& H.
M. Srivastava / 463 \\
Artificial Intelligence Today / G. C. Rota / 483 \\
The Work of Chebyshev on Orthogonal Polynomials / R.
Roy / 495 \\
Matching Polynomials and Holographic Neural Networks /
W. Schempp / 513 \\
A Certain Family of Generating Functions for Classical
Orthogonal Polynomials / H. M. Srivastava / 535 \\
A Class of Weight Functions that Admit Chebyshev
Quadrature / J. L. Ullman / 563 \\
On Some Applications of Polynomials in the Theory of
Integral Transforms / N. Virchenko / 573 \\
Mean Number of Real Zeros of a Random Trigonometric
Polynomial. II / J. E. Wilkins, Jr. / 581 \\
Orthogonal Polynomials of Many Variables and
Degenerated Elliptic Equations / A. Yanushauskas / 595
\\
Linear Stationary Second-Degree Methods for the
Solution of Large Linear Systems / D. M. Young \& D. R.
Kincaid / 609 \\
A Theorem on Algebra-Valued Pseudo Polar-Derivatives /
N. Zaheer / 631",
}
@Proceedings{Natori:1993:PPS,
editor = "Makoto Natori and T. Nodera",
booktitle = "{Parallel processing for scientific computing
(Yokohama, 1993)}",
title = "{Parallel processing for scientific computing
(Yokohama, 1993)}",
volume = "9",
publisher = "Keio University",
address = "Yokohama, Japan",
pages = "70",
year = "1993",
LCCN = "????",
bibdate = "Wed Jan 17 10:14:47 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
series = "Advances in numerical methods for large sparse sets of
linear equations",
acknowledgement = ack-nhfb,
xxISBN = "none",
}
@Proceedings{Brown:1994:PCL,
editor = "J. David Brown and Moody T. Chu and Donald C. Ellison
and Robert J. Plemmons",
booktitle = "{Proceedings of the Cornelius Lanczos International
Centenary Conference, Raleigh, North Carolina, December
12--17, 1993}",
title = "{Proceedings of the Cornelius Lanczos International
Centenary Conference, Raleigh, North Carolina, December
12--17, 1993}",
volume = "73",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "lxv + 644",
year = "1994",
ISBN = "0-89871-339-0",
ISBN-13 = "978-0-89871-339-8",
LCCN = "QC19.2 .C67 1993",
bibdate = "Wed Jun 8 14:42:43 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/einstein.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "Proceedings in Applied Mathematics",
acknowledgement = ack-nhfb,
meetingname = "Cornelius Lanczos International Centenary Conference
(1993:Raleigh, NC)",
subject = "Mathematical physics; Congresses; Astrophysics;
Mathematics; Lanczos, Cornelius; Physicists; Hungary;
Biography; Mathematicians",
subject-dates = "1893--1974",
tableofcontents = "The Life and Works of Cornelius Lanczos \\
\\
A Photographic Essay / / xvii \\
Cornelius Lanczos: A Biographical Essay / Barbara
Gellai / xxi \\
Cornelius Lanczos (1893-1974), and the Hungarian
Phenomenon in Science and Mathematics / Peter D. Lax /
xlix \\
The Roots of Cornelius Lanczos / George Marx / liii \\
Reminiscences of Cornelius Lanczos / Jon Todd / lviii
\\
Published Papers and Books of Cornelius Lanczos / / lx
\\
\\
Plenary Presentations: Computational Mathematics \\
\\
Lanczos and the FFT: A Discovery Before its Time /
James W. Cooley / 3 \\
Lanczos Algorithms for Large Scale Symmetric and
Nonsymmetric Matrix Eigenvalue Problems / Jane K.
Cullum / 11 \\
The Look-Ahead Lanczos Process for Nonsymmetric
Matrices and its Applications / Roland W Freund / 33
\\
The Lanczos and Conjugate Gradient Algorithms in Finite
Precision Arithmetic / Anne Greenbaum / 49 \\
The Lanczos Process and Pade Approximation / Martin H.
Gutknecht / 61 \\
The Tau Method and the Numerical Solution of
Differential Equations: Past Research and Recent
Research / Eduardo L. Ortiz / 77 \\
Krylov Subspace Processes, Krylov Subspace Methods, and
Iteration Polynomials / C. C. Paige / 83 \\
Do We Fully Understand the Symmetric Lanczos Algorithm
Yet? / Beresford N. Parlett / 93 \\
On Generalized Band Matrices and Their Inverses /
P{\'a}l R{\'o}sa, Francesco Romani, and Roberto
Bevilacqua / 109 \\
Theoretical Error Bounds and General Analysis of a Few
Lanczos-Type Algorithms / Youcef Saad / 123 \\
Lanczos and Linear Systems / G. W. Stewart / 135 \\
\\
Plenary Presentations: Theoretical Physics and
Astrophysics \\
\\
Integration on the Space of Connections Modulo Gauge
Transformations / Abbay Ashtekar, Donald Marolf, and
Jose Mourdo / 143 \\
Quasiclassical Domains in a Quantum Universe / James B.
Hartle / 161 \\
Gauge Invariant Energy-Momentum Tensor in Spinar
Electrodynamics / D. Petiot and Y. Takahashi / 173 \\
$\gamma$-Ray Bursts and Neutron Star Mergers / Tsvi
Piran / 187 \\
Lanczos's Early Contributions to Relativity and His
Relationship with Einstein / John Stachel / 201 \\
Topological Roots of Black Hole Entropy / Claudio
Teitelboim / 223 \\
Variational Principles, Local Symmetries, and Black
Hole Entropy / Robert M. Wald / 231 \\
\\
Mathematics Minisymposia \\
\\
Eigenvalue Computations: Theory and Algorithms / / 241
\\
Eigenvalue Computations: Applications / / 249 \\
Moments in Numerical Analysis / / 265 \\
Iterative Methods for Linear Systems / / 277 \\
Least Squares / / 301 \\
Software for Lanczos-based Algorithms / / 311 \\
Tau Method / / 335 \\
Chebyshev Polynomials / / 357 \\
Lanczos Methods in Control and Signal Processing / /
375 \\
Development of the FFT / / 393 \\
The FFT in Signal Processing / / 399 \\
Wavelets / / 411 \\
\\
Physics Minisymposia \\
\\
Computational Magnetohydrodynamics in Astrophysics / /
431 \\
Numerical Simulations of Collisionless Space Plasmas /
/ 453 \\
Detection of Gravitational Radiation from Astrophysical
Sources / / 477 \\
Lanczos $H$-tensor / / 489 \\
Cosmic Censorship / / 513 \\
Cauchy Problem of General Relativity / / 527 \\
Black Hole Evaporation and Thermodynamics / / 543 \\
The Problem of Time in Quantum Gravity / / 555 \\
New Variables and Loop Quantization / / 571 \\
Decoherence and the Foundations of Quantum Mechanics /
/ 589 \\
Open Questions in Particle Theory / / 603 \\
Supercollider Physics / / 621 \\
Symplectic Methods in Physics / / 633",
}
@Proceedings{Bainov:1995:PTI,
editor = "D. Ba{\u\i}nov and Val{\'e}ry Covachev",
booktitle = "{Proceedings of the Third International Colloquium on
Numerical Analysis: Plovdiv, Bulgaria, 13--17 August,
1994}",
title = "{Proceedings of the Third International Colloquium on
Numerical Analysis: Plovdiv, Bulgaria, 13--17 August,
1994}",
publisher = pub-VSP,
address = pub-VSP:adr,
year = "1995",
ISBN = "90-6764-193-6",
ISBN-13 = "978-90-6764-193-7",
LCCN = "QA297 .I45 1994",
bibdate = "Tue Feb 15 09:11:00 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
acknowledgement = ack-nhfb,
}
@Proceedings{Vulkov:2001:NAA,
editor = "Lubin Vulkov and Jerzy Wa{\'s}niewski and Plamen
Yalamov",
booktitle = "{Numerical Analysis and Its Applications: Second
International Conference, NAA 2000, Rousse, Bulgaria,
June 11--15, 2000 Revised Papers}",
title = "{Numerical Analysis and Its Applications: Second
International Conference, NAA 2000, Rousse, Bulgaria,
June 11--15, 2000 Revised Papers}",
volume = "1988",
publisher = pub-SV,
address = pub-SV:adr,
pages = "????",
year = "2001",
DOI = "https://doi.org/10.1007/3-540-45262-1",
ISBN = "3-540-45262-1",
ISBN-13 = "978-3-540-45262-1",
LCCN = "????",
bibdate = "Tue Feb 15 09:13:49 MST 2011",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
series = "Lecture Notes in Computer Science",
acknowledgement = ack-nhfb,
subject = "Computer simulation; Computer software; Electronic
data processing; Numerical analysis; Computer Science",
}
@Proceedings{Feistauer:2004:NMA,
editor = "M. (Miloslav) Feistauer and V{\'i}t Dolej{\v{s}}{\'i}
and Petr Knobloch and Karel Najzar",
booktitle = "{Numerical Mathematics and Advanced Applications:
Proceedings of ENUMATH 2003 the 5th European Conference
on Numerical Mathematics and Advanced Applications
Prague, August 2003}",
title = "{Numerical Mathematics and Advanced Applications:
Proceedings of ENUMATH 2003 the 5th European Conference
on Numerical Mathematics and Advanced Applications
Prague, August 2003}",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 721",
year = "2004",
DOI = "https://doi.org/10.1007/978-3-642-18775-9",
ISBN = "3-642-62288-7, 3-540-21460-7, 3-642-18775-7 (e-book)",
ISBN-13 = "978-3-642-62288-5, 978-3-540-21460-1,
978-3-642-18775-9 (e-book)",
LCCN = "QA297 .E89 2003",
bibdate = "Mon Feb 11 11:30:19 MST 2019",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/tex/bib/numana2000.bib",
URL = "http://link.springer.com/10.1007/978-3-642-18775-9",
abstract = "The book is the Proceedings of the Conference ENUMATH
2003, the 5th European Conference on Numerical
Mathematics, concerned with most recent achievements in
scientific computing, computational mathematics,
numerical analysis and their applications. These
proceedings contain a selection of invited plenary
lectures, papers presented in minisymposia and
contributed papers. All contributions to these
proceedings have been reviewed by members of the
Scientific Committee. Attention is paid to theoretical
aspects of new numerical techniques and algorithms, as
well as to applications, for example in fluid dynamics,
electromagnetic fields, structural mechanics, free
boundary problems. The book will be very useful for a
wide range of readers, giving them an excellent
overview of the most modern methods, techniques,
algorithms and results in numerical mathematics,
scientific computing and their applications.",
acknowledgement = ack-nhfb,
subject = "Numerical analysis; Congresses; Numerical analysis.",
tableofcontents = "Front Matter / i--xiii \\
Plenary Lectures \\
Front Matter / 1--1 \\
Numerical Analysis of Finite Element Methods for Eddy
Current Problems. Applications to Electrode Simulation
/ Alfredo Berm{\'u}dez, Rodolfo Rodr{\'\i}guez, Pilar
Salgado / 3--19 \\
Space Decomposition Preconditioners and Parallel
Solvers / Radim Blaheta / 20--38 \\
Boundary Conditions for Hyperbolic Equations or Systems
/ Thierry Gallou{\"e}t / 39--55 \\
Fictitious Domain Methods in Shape Optimization with
Applications in Free-Boundary Problems / Jaroslav
Haslinger, Tom{\'a}{\v{s}} Kozubek, Karl Kunisch,
G{\"u}nter Peichl / 56-75 Contributed Papers \\
Front Matter / 77--77 \\
Domain Decomposition Method for a Class of Non-Linear
Elliptic Equation with Arbitrary Growth Nonlinearity
and Data Measure / Nour Eddine Alaa, Jean Rodolphe
Roche / 79--88 \\
Variants of Relaxation Schemes and the Lattice
Boltzmann Model Relaxation Systems / Mapundi Kondwani
Banda / 89--101 \\
A Time Semi-Implicit Relaxation Scheme for Two-Phase
Flows in Pipelines / Micha{\"e}l Baudin,
Fr{\'e}d{\'e}ric Coquel, Quang-Huy Tran / 102--111 \\
Computational Study of Field Scale BTEX Transport and
Biodegradation in the Subsurface / Markus Bause /
112--122 \\
A Two-Level Stabilization Scheme for the Navier-Stokes
Equations / Roland Becker, Malte Braack / 123--130 \\
A Posteriori Error Estimates for Parameter
Identification / Roland Becker, Boris Vexler / 131--140
\\
On a Phase-Field Model with Advection / Michal
Bene{\v{s}} / 141--150 \\
Fast Evaluation of Eddy Current Integral Operators /
Steffen B{\"o}rm / 151--158 \\
Adaptive Computation of Reactive Flows with Local Mesh
Refinement and Model Adaptation / Malte Braack,
Alexandre Ern / 159--168 \\
An Alternative to the Least-Squares Mixed Finite
Element Method for Elliptic Problems / Jan Brandts,
Yanping Chen / 169--175 \\
Limit Analysis Method in Electrostatics / Igor A.
Brigadnov / 176--185 \\
Finite Element Mesh Adjusted to Singularities Applied
to Axisymmetric and Plane Flow / Pavel Burda, Jaroslav
Novotn{\'y}, Bed{\v{r}}ich Soused{\'\i}k, Jakub
{\v{S}}{\'\i}stek / 186--195 \\
The Edge Stabilization Method for Finite Elements in
CFD / Erik Burman, Peter Hansbo / 196--203 \\
Analysis and Computation of Dendritic Growth in Binary
Alloys Using a Phase-Field Model / Eric Burman, Marco
Picasso, Jacques Rappaz / 204--220 \\
Discontinuous Galerkin Methods for Timoshenko Beams /
Fatila Celiker, Bernardo Cockburn, Sukru G{\"u}zey,
Ramdev Kanapady, Sew-Chew Soon, Henrik K. Stolarski et
al. / 221--231 \\
Numerical Algorithms for Solving Elliptic-Parabolic
Problems / Raimondas {\v{C}}iegis / 232--238 \\
Stochastic Relaxation of Variational Integrals with
Non-attainable Infima / Dennis D. Cox, Petr
Klou{\v{c}}ek, Daniel R. Reynolds, Pavel
{\v{S}}ol{\'\i}n / 239--249 \\
A Pressure-Weighted Upwind Scheme in Unstructured
Finite-Element Grids / Masoud Darbandi, Kiumars
Mazaheri-Body, Shidvash Vakilipour / 250--259 \\
Discontinuous Galerkin Finite Element Method for the
Numerical Solution of Viscous Compressible Flows /
V{\'\i}t Dolej{\v{s}}{\'\i} / 260--268 \\
A Finite Volume Scheme on General Meshes for the Steady
Navier-Stokes Equations in Two Space Dimensions /
Robert Eymard, Raphale Herbin / 269--277 \\
Existence and Uniqueness of a Weak Solution to a
Stratigraphic Model / Robert Eymard, Thierry
Gallou{\"e}t, V{\'e}ronique Gervais, Roland Masson /
278--287 \\
Combined Nonconforming/Mixed-hybrid Finite
Element-Finite Volume Scheme for Degenerate Parabolic
Problems / Robert Eymard, Danielle Hilhorst, Martin
Vohral{\'\i}k / 288--297 \\
Discrete Maximum Principle for Galerkin Finite Element
Solutions to Parabolic Problems on Rectangular Meshes /
Istv{\'a}n Farag{\'o}, R{\'o}bert Horv{\'a}th, Sergey
Korotov / 298--307 \\
Cubature-Differences Method for Singular
Integro-differential Equations / Alexander I. Fedotov /
308--315 \\
Nonconforming Discretization Techniques for Overlapping
Domain Decompositions / Bernd Flemisch, Michael Mair,
Barbara Wohlmuth / 316--325 \\
On the Use of Implicit Updates in Minimum Curvature
Multi-step Quasi-Newton Methods / John A. Ford, Issam
A. Moghrabi / 326--335 \\
A Boundary Movement Identification Method for a
Parabolic Partial Differential Equation / Tom P.
Fredman / 336--345 \\
On Computational Properties of a Posteriori Error
Estimates Based upon the Method of Duality Error
Majorants / Maxim Frolov, Pekka Neittaanm{\"a}ki,
Sergey Repin / 346--357 \\
Efficient Algorithm for Local-Bound-Preserving
Remapping in ALE Methods / Rao Garimella, Milan
Kucha{\v{r}}{\'\i}k, Mikhail Shashkov / 358--367 \\
Mimetic Finite Difference Methods for Diffusion
Equations on Unstructured Triangular Grid / Victor
Ganzha, Richard Liska, Mikhail Shashkov, Christoph
Zenger / 368--377 \\
On Computational Glaciology: FE-Simulation of Ice Sheet
Dynamics / G{\"u}nter G{\"o}dert, Franz-Theo Suttmeier
/ 378--390 \\
Nonreflecting Boundary Conditions for Multiple Domain
Wave Scattering in Unbounded Media / Marcus J. Grote,
Christoph Kirsch, Patrick Meury / 391--399 \\
On the Choice of the Regularization Parameter in the
Case of the Approximately Given Noise Level of Data /
Uno H{\"a}marik, Toomas Raus / 400--409 \\
Adaptive Discontinuous Galerkin Finite Element Methods
with Interior Penalty for the Compressible
Navier-Stokes Equations / Ralf Hartmann, Paul Houston /
410--419 \\
On a Novel Technique for Parallel Unstructured Mesh
Generation in 3D / Jan Ha{\v{s}}kovec, Pavel
{\v{S}}ol{\'\i}n / 420--429 \\
Adaptive Finite Element Methods for Turbulent Flow /
Johan Hoffman, Claes Johnson / 430--439 \\
Numerical Solution of a Nonlinear Evolution Equation
Describing Amorphous Surface Growth of Thin Films /
Ronald H.W. Hoppe, Eva Nash / 440--448 \\
Constrained Mountain Pass Algorithm for the Numerical
Solution of Semilinear Elliptic Problems /
Ji{\v{r}}{\'\i} Hor{\'a}k / 449--458 \\
Optimal Shape Design of Diesel Intake Ports with
Evolutionary Algorithm / Andr{\'a}s Horv{\'a}th,
Zolt{\'a}n Horv{\'a}th / 459--470 \\
Numerical Simulation of Compressible Fluids with Moving
Boundaries: An Effective Method with Applications /
Zolt{\'a}n Horv{\'a}th, Andr{\'a}s Horv{\'a}th /
471--482 \\
Discontinuous Galerkin Methods for the Time-Harmonic
Maxwell Equations / Paul Houston, Ilaria Perugia, Anna
Schneebeli, Dominik Sch{\"o}tzau / 483--492 \\
Mixed hp-Discontinuous Galerkin Finite Element Methods
for the Stokes Problem in Polygons / Paul Houston,
Dominik Sch{\"o}tzau, Thomas P. Wihler / 493--501 \\
A Postprocessing of Hopf Bifurcation Points /
D{\'a}{\v{s}}a Janovsk{\'a}, Vladim{\'\i}r Janovsk{\'y}
/ 502--509 \\
Givens' Reduction of Quaternion-Valued Matrices to
Upper Hessenberg Form / Drahoslava Janovsk{\'a},
Gerhard Opfer / 510--520 \\
Model of Compressible Flow and Transport in a
Time-Dependent Domain / Pavel Jir{\'a}nek,
Ji{\v{r}}{\'\i} Mary{\v{s}}ka, Jan {\v{S}}embera /
521--530 \\
Numerical Study of Convection of Multi-Component Fluid
in Porous Medium / Olga Kantur, Vyacheslav Tsybulin /
531--538 \\
Multi-yield Elastoplastic Continuum-Modeling and
Computations / Johanna Kienesberger, Jan Valdman /
539--548 \\
Celebrating Fifty Years of David M. Young's Successive
Overrelaxation Method / David R. Kincaid / 549--558 \\
On the Relational Database Style Parallel Numerical
Programming / B{\'e}la Kiss, Anna Krebsz / 559--568 \\
A Dynamical System Describing Evolution of the Implicit
Surfaces in Incompressible Viscous Liquids / Petr
Klou{\v{c}}ek, Michel V. Romerio, Jennifer L. Wightman
/ 569--579 \\
Discrete Maximum Principles in Finite Element Modelling
/ Sergey Korotov, Michal K{\v{r}}{\'\i}{\v{z}}ek /
580--586 \\
A Posteriori Error Estimation in Terms of Linear
Functionals for Boundary Value Problems of Elliptic
Type / Sergey Korotov, Pekka Neittaanm{\"a}ki, Sergey
Repin / 587--595 \\
Numerical Solution of Flow in Backward Facing Step /
Karel Kozel, Petr Louda, Petr Sv{\'a}{\v{c}}ek /
596--604 \\
Periodicity Properties of Solutions to a Hysteresis
Model in Micromagnetics / Martin Kru{\v{z}}{\'\i}k /
605--614 \\
Mixed Finite Element Method on Polygonal and Polyhedral
Meshes / Yuri Kuznetsov, Sergey Repin / 615--622 \\
Semi-discrete Schemes for Hamilton-Jacobi Equations on
Unstructured Grids / Doron Levy, Suhas Nayak / 623--630
\\
Numerical Simulation of Dislocation Dynamics /
Vojt{\v{e}}ch Min{\'a}rik, Jan Kratochv{\'\i}l, Karol
Mikula, Michal Bene{\v{s}} / 631--640 \\
Implicit FEM-FCT algorithm for compressible flows /
Matthias M{\"o}ller, Dmitri Kuzmin, Stefan Turek /
641--650 \\
A Singular Limit Method for the Stefan Problems /
Hideki Murakawa, Tatsuyuki Nakaki / 651--657 \\
Higher-Order Split-Step Schemes for the Generalized
Nonlinear Schr{\"o}dinger Equation / Gulcin M. Muslu,
Husnu A. Erbay / 658--667 \\
Numerical Methods and Simulation Techniques for Flow
with Shear and Pressure Dependent Viscosity /
Abderrahim Ouazzi, Stefan Turek / 668--676 \\
Piecewise Polynomial Approximations for Linear Volterra
Integro-Differential Equations with Nonsmooth Kernels /
Arvet Pedas / 677--686 \\
On a Discontinuous Galerkin Method for
Radiation-Diffusion Problems / Ilaria Perugia, Dominik
Sch{\"o}tzau, James Warsa / 687--697 \\
Modeling of Multi-Phase Flows with a Level-Set Method /
Sander P. van der Pijl, A. Segal, C. Vuik / 698--707
\\
Numerical Modeling of Bypass Flow / Vladimir Prokop,
Karel Kozel / 708--715 \\
A Posteriori Estimation of Dimension Reduction Errors /
Sergey Repin, Stefan Sauter, Anton Smolianski /
716--725 \\
Analysis of a Multi-Numerics/Multi-Physics Problem /
B{\'e}atrice Rivi{\`e}re / 726--735 \\
The Discontinuous Galerkin Method for Singularly
Perturbed Problems / Hans-G{\"o}rg Roos, Helena Zarin /
736--745 \\
A Finite-Volume Mass- and Vorticity-Conserving
Shallow-Water Model using Penta-/Hexagonal Grids /
William Sawyer, Rolf Jeltsch / 746--755 \\
Application of Parallel Computing Techniques for
Problems of Degenerated Diffusion / Milan
{\v{S}}enk{\'y}{\v{r}}, Ji{\v{r}}{\'\i} Miky{\v{s}}ka,
Michal Bene{\v{s}} / 756--765 \\
The Finite Element Analysis of an Elliptic Problem with
a Nonlinear Newton Boundary Condition / Veronika
Sobot{\'\i}kov{\'a} / 766--774 \\
Automatic Goal-Oriented hp-Adaptivity Without Error
Estimates / Pavel {\v{S}}ol{\'\i}n, Leszek Demkowicz /
775--785 \\
A Compression Method for the Helmholtz Equation /
Mirjam Stolper, Sergej Rjasanow / 786--795 \\
Application of a Stabilized FEM to Problems of
Aeroelasticity / Petr Sv{\'a}{\v{c}}ek, Miloslav
Feistauer / 796--805 \\
A Numerical Approach to the Dynamical Behavior of
Initiated Pulses in Some Nonlinear Diffusion Equations
/ Kenji Tomoeda / 806--814 \\
Fully Two-dimensional HLLEC Riemann Solver and
Associated Difference Schemes / Pavel V{\'a}chal,
Richard Liska, Burton Wendroff / 815--824 \\
Deflation Accelerated Parallel Preconditioned Conjugate
Gradient Method in Finite Element Problems / Fred J.
Vermolen, Kees Vuik, Guus Segal / 825--833 \\
Advantages of Binomial Checkpointing for Memory-reduced
Adjoint Calculations / Andrea Walther, Andreas Griewank
/ 834--843 \\
An Efficient Multigrid FEM Solution Technique for
Incompressible Flow with Moving Rigid Bodies / Decheng
Wan, Stefan Turek, Liudmila S. Rivkind / 844--853 \\
Higher-Order FEM for a System of Nonlinear Parabolic
PDE's in 2D with A-Posteriori Error Estimates / Martin
Z{\'\i}tka, Karel Segeth, Pavel {\v{S}}ol{\'\i}n /
854--863",
}
