%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "2.07",
%%% date = "25 October 2005",
%%% time = "07:56:06 MDT",
%%% filename = "mathcomp1980.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "http://www.math.utah.edu/~beebe",
%%% checksum = "56878 29496 121118 1135500",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "BibTeX, bibliography, Mathematics of
%%% Computation, Mathematical Tables and Aids
%%% to Computation, Mathematical Tables and
%%% Other Aids to Computation",
%%% supported = "yes",
%%% docstring = "This is a COMPLETE bibliography of
%%% publications for the decade 1980--1989 in
%%% the American Mathematical Society journals
%%% Mathematics of Computation (ISSN 0025-5718
%%% (paper), ISSN 1088-6842 (electronic), CODEN
%%% MCMPAF), which began publishing in January
%%% 1960, as the successor to Mathematical
%%% Tables and Other Aids to Computation (ISSN
%%% 0891-6837, CODEN MTTCAS) (October 1943 --
%%% December 1959), which in turn succeeded
%%% Mathematical Tables and Aids to Computation
%%% (January 1943 -- July 1943).
%%%
%%% At version 2.00, the large number of
%%% publications in these journals required the
%%% splitting of the original file,
%%% mathcomp.bib, into decade-specific files,
%%% mathcomp19xy.bib, and the withdrawal of the
%%% mathcomp.* files.
%%%
%%% The journal has a World-Wide Web site at
%%%
%%% http://www.ams.org/mcom/
%%%
%%% It provides tables of contents data for
%%% 1996--date.
%%%
%%% There is also complete coverage of all
%%% journal issues with full text available to
%%% members of subscribing institutions in the
%%% JSTOR archive at
%%%
%%% http://www.jstor.org/journals/08916837.html
%%%
%%% At version 2.06, the year coverage looked
%%% like this:
%%%
%%% 1980 ( 109) 1985 ( 104) 1990 ( 1)
%%% 1981 ( 110) 1986 ( 127) 1991 ( 0)
%%% 1982 ( 117) 1987 ( 113) 1992 ( 0)
%%% 1983 ( 112) 1988 ( 105) 1993 ( 0)
%%% 1984 ( 101) 1989 ( 98) 1994 ( 1)
%%%
%%% Article: 1096
%%% Book: 1
%%% Proceedings: 1
%%%
%%% Total entries: 1098
%%%
%%% This journal is unusual in that issue
%%% numbers increase uniformly, without a fixed
%%% number of issues per volume. Early volumes
%%% did not assign months, but by the 1960s,
%%% each issue included a month, although the
%%% publication month appears to be irregular.
%%% Regrettably, the MathSciNet database, which
%%% supplied the data for many of the entries
%%% below, does not record month data.
%%%
%%% The final pages of each issue are devoted
%%% to reviews, and brief (sometimes only a few
%%% lines) communications about errata in
%%% published mathematical tables. In some,
%%% the author is identified, but in others,
%%% only author initials are supplied.
%%% Bibliographic data for this end matter
%%% appears to be somewhat unreliably recorded
%%% in journal databases, even in the
%%% publisher's own MathSciNet database.
%%%
%%% Data for the bibliography has been
%%% collected from the OCLC Contents1st
%%% database, from the bibliographies in the
%%% TeX User Group collection, from
%%% bibliographies in the author's personal
%%% files, from the IEEE INSPEC CD ROM
%%% databases (1989--Sep 1996), and from the
%%% computer science bibliography collection on
%%% ftp.ira.uka.de in /pub/bibliography to
%%% which many people of have contributed. The
%%% snapshot of this collection was taken on
%%% 5-May-1994, and it consists of 441 BibTeX
%%% files, 2,672,675 lines, 205,289 entries,
%%% and 6,375 <at>String{} abbreviations,
%%% occupying 94.8MB of disk space.
%%%
%%% For version 2.00, data from the JSTOR
%%% database was merged in. This database
%%% provides complete page images of the entire
%%% journal, and allows full-text searching into
%%% OCR text derived from the page images.
%%%
%%% Mathematical markup, which is required
%%% extensively in this journal, was evidently
%%% added by hand. The result is that there are
%%% frequent discrepancies between the MathSciNet
%%% and JSTOR titles; when these did not appear
%%% to be typographically similar, the original
%%% journal pages were consulted, and generally
%%% given preference. Also, JSTOR markup is
%%% generally in LaTeX2e form, while the
%%% MathSciNet markup is in plain TeX form, and
%%% often includes typographically niceties like
%%% thin spaces, which the JSTOR markup omits.
%%%
%%% The JSTOR author and title data is often
%%% missing accents; sometimes these accents
%%% appeared in the original journal text, and
%%% sometimes not. MathSciNet has the practice
%%% of supplying accents, particularly in
%%% personal names, even when they are missing
%%% from the original publication. Since the
%%% loss of accents in the latter sometimes
%%% reflected technological limitations in the
%%% journal typesetting, and since the accents
%%% are essential in the languages from which
%%% those personal names came, I have followed
%%% the MathSciNet convention, and provided
%%% accents were possible. Nevertheless, since
%%% it is not feasible for me to check every
%%% journal title page, and MathSciNet covers
%%% only about half the publications in this
%%% journal, some accents surely still remain
%%% missing.
%%%
%%% Although the JSTOR author and title data may
%%% have been derived from the OCR text of the
%%% journal pages, the need for extensive
%%% mathematical markup appears to have
%%% introduced many other errors. Whenever a
%%% discrepancy between JSTOR and MathSciNet was
%%% detected, the original journal title pages
%%% were consulted.
%%%
%%% Finally, MathSciNet has a practice of
%%% including additional information, such as
%%% journal citation and MRnumber data, in titles
%%% that comment on other articles, or for
%%% articles that are accompanied by supplements.
%%% Since this additional information is helpful,
%%% I have retained it, even though it does not
%%% appear in the original title. In retrospect,
%%% I probably should have introduced a separate
%%% MRtitle key/value pair to distinguish between
%%% them, but the effort to merge in the JSTOR
%%% data has exhausted me.
%%%
%%% Numerous errors in the sources noted above
%%% have been corrected. Spelling has been
%%% verified with the UNIX spell and GNU ispell
%%% programs using the exception dictionary
%%% stored in the companion file with extension
%%% .sok.
%%%
%%% BibTeX citation tags are uniformly chosen
%%% as name:year:abbrev, where name is the
%%% family name of the first author or editor,
%%% year is a 4-digit number, and abbrev is a
%%% 3-letter condensation of important title
%%% words. Citation tags were automatically
%%% generated by software developed for the
%%% BibNet Project.
%%%
%%% In this bibliography, entries are sorted in
%%% publication order, using ``bibsort -byvolume''.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
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"\hyphenation{
Ber-co-vier
Rich-ard
Tzan-a-kis
}"
}
%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-jr = "Jon Rokne,
Department of Computer Science,
The University of Calgary,
2500 University Drive N.W.,
Calgary, Alberta T2N 1N4,
Canada"}
@String{ack-nhfb = "Nelson H. F. Beebe,
University of Utah,
Department of Mathematics, 110 LCB,
155 S 1400 E RM 233,
Salt Lake City, UT 84112-0090, USA,
Tel: +1 801 581 5254,
FAX: +1 801 581 4148,
e-mail: \path|beebe@math.utah.edu|,
\path|beebe@acm.org|,
\path|beebe@computer.org| (Internet),
URL: \path|http://www.math.utah.edu/~beebe/|"}
@String{ack-nj = "Norbert Juffa,
2445 Mission College Blvd.
Santa Clara, CA 95054
USA
email: \path=norbert@iit.com="}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-MATH-COMPUT = "Mathematics of Computation"}
%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
%%% ====================================================================
%%% Bibliography entries. This journal has appeared quarterly since
%%% volume 1 in 1943 up to 1980, so missing month information has been
%%% supplied according to the following table:
%%%
%%% Number Month
%%% 4n+1 jan
%%% 4n+2 apr
%%% 4n+3 jul
%%% 4n oct
%%%
%%% From 1980 to 1994, there were two volumes each year.
@Article{Crandall:1980:MDA,
author = "Michael G. Crandall and Andrew Majda",
title = "Monotone difference approximations for scalar
conservation laws",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "1--21",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M05",
MRnumber = "81b:65079",
MRreviewer = "Christopher Caldwell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Winther:1980:CFE,
author = "Ragnar Winther",
title = "A conservative finite element method for the
{Korteweg-de Vries} equation",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "23--43",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (35Q20)",
MRnumber = "81a:65108",
MRreviewer = "Stephen W. Brady",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Ostfold Distriktshogskole, Halden,
Norway",
keywords = "difference schemes; differential equations; finite
element analysis; finite element method; Korteweg de
Vries equation; partial; partial differential
equations; space variable; stable fully discrete
methods; twelve point finite; unconditionally",
treatment = "T Theoretical or Mathematical",
}
@Article{Engquist:1980:SES,
author = "Bj{\"o}rn Engquist and Stanley Osher",
title = "Stable and entropy satisfying approximations for
transonic flow calculations",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "45--75",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (65M05 76H05)",
MRnumber = "81b:65082",
MRreviewer = "Joseph Oliger",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Parallel/Multi.bib; JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Schatz:1980:WDM,
author = "Alfred H. Schatz",
title = "A weak discrete maximum principle and stability of the
finite element method in ${L}_{\infty }$ on plane
polygonal domains. {I}",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "77--91",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "81e:65063",
MRreviewer = "B. I. Kvasov",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
keywords = "boundedness; continuous piecewise polynomials;
convergence of numerical methods; discrete harmonic;
finite element; finite element analysis; functions;
method; partial differential equations; plane polygonal
domains; polynomials; quasi uniform mesh; stability;
weak discrete maximum principle",
treatment = "T Theoretical or Mathematical",
}
@Article{Thomee:1980:NNE,
author = "Vidar Thom{\'e}e",
title = "Negative norm estimates and superconvergence in
{Galerkin} methods for parabolic problems",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "93--113",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N15 (65N30)",
MRnumber = "81a:65092",
MRreviewer = "N. Gass",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Winther:1980:IVM,
author = "Ragnar Winther",
title = "Initial Value Methods for Parabolic Control Problems",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "115--125",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65K10 (49D05 65Mxx)",
MRnumber = "80k:65060",
MRreviewer = "William W. Hager",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1330 (Optimal control); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA",
keywords = "boundary value control; boundary-value problems;
differential equations; iterative methods; Neumann;
optimal control; parabolic control problems; partial;
strictly convex functional",
treatment = "T Theoretical or Mathematical",
}
@Article{Parter:1980:RSC,
author = "Seymour V. Parter",
title = "On the roles of {``stability''} and {``convergence''}
in semidiscrete projection methods for initial-value
problems",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "127--154",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N35 (34G99)",
MRnumber = "81a:65110",
MRreviewer = "P. C. Jain",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Werschulz:1980:CCO,
author = "Arthur G. Werschulz",
title = "Computational complexity of one-step methods for
systems of differential equations",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "155--174",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05 (34A50 68C25)",
MRnumber = "81a:65069",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations); C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Math., Carnegie-Mellon Univ., Pittsburgh, PA,
USA",
keywords = "boundary value; boundary-value problems; complexity
bounds; computational complexity; differential
equations; fast power; initial value problem; one step
methods; problems; Runge Kutta methods; series
techniques; Taylor series method",
treatment = "T Theoretical or Mathematical",
}
@Article{Troesch:1980:SMA,
author = "B. A. Troesch",
title = "The Shooting Method Applied to a Cyclic Inequality",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "175--184",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10E20",
MRnumber = "81b:10022",
MRreviewer = "Duncan A. Buell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Miel:1980:MSE,
author = "George J. Miel",
title = "Majorizing sequences and error bounds for iterative
methods",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "185--202",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65J05 (47H10)",
MRnumber = "81h:65056",
MRreviewer = "L. B. Rall",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); C4110
(Error analysis in numerical methods)",
corpsource = "Dept. of Math. Sci., Univ. of Nevada, Las Vegas, NV,
USA",
keywords = "Banach space; convergence theory; error analysis;
error bounds; infinite series; iterative methods;
Kantorovich theorem; Newton iterates; Rheinboldt;
sequences; stronger hypotheses",
treatment = "T Theoretical or Mathematical",
}
@Article{Evans:1980:LSE,
author = "John W. Evans and William B. Gragg and Randall J.
LeVeque",
title = "On least squares exponential sum approximation with
positive coefficients",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "203--211",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15 (41A35)",
MRnumber = "81b:65015",
MRreviewer = "Dietrich Braess",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Lyness:1980:QEF,
author = "J. N. Lyness and G. Monegato",
title = "Quadrature error functional expansions for the simplex
when the integrand function has singularities at
vertices",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "213--225",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D32 (41A55 41A60)",
MRnumber = "80m:65017",
MRreviewer = "Thomas A. Atchison",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Dickinson:1980:SLE,
author = "Bradley W. Dickinson",
title = "Solution of linear equations with rational {Toeplitz}
matrices",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "227--233",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F05",
MRnumber = "81h:65025",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Marsaglia:1980:GRV,
author = "George Marsaglia",
title = "Generating Random Variables With a $t$-Distribution",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "235--236",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65C10",
MRnumber = "81a:65015",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Distributed/QLD.bib; Distributed/QLD/1980.bib; JSTOR
database",
acknowledgement = ack-nhfb,
}
@Article{Schonfelder:1980:VHA,
author = "J. L. Schonfelder",
title = "Very high accuracy {Chebyshev} expansions for the
basic trigonometric functions",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "237--244",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20",
MRnumber = "81f:65016",
MRreviewer = "Claude Carasso",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Plesken:1980:MFIa,
author = "Wilhelm Plesken and Michael Pohst",
title = "On Maximal Finite Irreducible Subgroups of ${GL}(n,
\mathbf{Z})$: {III}. The Nine Dimensional Case",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "245--258",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20C10",
MRnumber = "81b:20012a",
MRreviewer = "Wolfgang Knapp",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Plesken:1980:MFIb,
author = "Wilhelm Plesken and Michael Pohst",
title = "On Maximal Finite Irreducible Subgroups of ${GL}(n,
\mathbf{Z})$: {IV}. Remarks on Even Dimensions with
Applications to $n = 8$",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "259--275",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20C10",
MRnumber = "81b:20012b",
MRreviewer = "Wolfgang Knapp",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Plesken:1980:MFIc,
author = "Wilhelm Plesken and Michael Pohst",
title = "On Maximal Finite Irreducible Subgroups of ${GL}(n,
\mathbf{Z})$: {V}. The Eight Dimensional Case and a
Complete Description of Dimensions Less Than Ten",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "277--301",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "loose microfiche suppl. 20C10",
MRnumber = "81b:20012c",
MRreviewer = "Wolfgang Knapp",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Templer:1980:P,
author = "Mark Templer",
title = "On the Primality of $k! + 1$ and $2 \ast 3 \ast 5 \ast
\cdots \ast p + 1$",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "303--304",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04)",
MRnumber = "80j:10010",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Brent:1980:SNA,
author = "Richard P. Brent and Edwin M. McMillan",
title = "Some new algorithms for high-precision computation of
{Euler}'s constant",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "305--312",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (10A40 68C05)",
MRnumber = "82g:10002",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Univ. of California, Berkeley, CA, USA",
keywords = "Bessel functions; computation; Euler's constant;
function evaluation; high precision",
treatment = "N New Development; T Theoretical or Mathematical",
}
@Article{MacLean:1980:RCP,
author = "D. W. MacLean",
title = "Residue Classes of the Partition Function",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "313--317",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (10A45)",
MRnumber = "81a:10002",
MRreviewer = "T{\o}rleiv Klove",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Guy:1980:CWD,
author = "Richard K. Guy and J. L. Selfridge",
title = "Corrigendum to: {``What drives an aliquot sequence?''}
{[Math. Comp. {\bf 29} (1975), 101--107, MR {\bf 52}
\#5542]}",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "319--321",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20 (10L10)",
MRnumber = "81f:10008",
MRreviewer = "Stefan A. Burr",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Salzer:1980:MCF,
author = "Herbert E. Salzer",
title = "Misstatements in {Milne-Thomson, Calculus of Finite
Differences, Macmillan, London, 1933}",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "323--324",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65Q05 (39A05)",
MRnumber = "81e:65067",
MRreviewer = "Peter Lancaster",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
xxnote = "MathSciNet has ``Misstatements in: {{\em The calculus
of finite differences} [Macmillan, London, 1933] by L.
M. Milne-Thomson. Zbl 8}'', but the above is what
appears in the original journal.",
}
@Article{JW:1980:C,
author = "J. W.",
title = "Corrigendum",
journal = j-MATH-COMPUT,
volume = "34",
number = "149",
pages = "332--332",
month = jan,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
note = "Original journal has only `J. W.' as author.",
acknowledgement = ack-nhfb,
}
@Article{Lynch:1980:HOD,
author = "Robert E. Lynch and John R. Rice",
title = "A high-order difference method for differential
equations",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "333--372",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10",
MRnumber = "82b:65070",
MRreviewer = "Robert D. Russell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Fatunla:1980:NIS,
author = "Simeon Ola Fatunla",
title = "Numerical integrators for stiff and highly oscillatory
differential equations",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "373--390",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "81k:65080",
MRreviewer = "Karl-Heinz Bachmann",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Univ. of Benin, Benin City, Nigeria",
keywords = "differential equations; highly oscillatory
differential equations; integration; Lipschitz
constants; numerical",
treatment = "T Theoretical or Mathematical",
}
@Article{Karlsen:1980:CSS,
author = "Lasse K. Karlsen",
title = "Computation of steady shocks by second-order
finite-difference schemes",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "391--400",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (76L05)",
MRnumber = "81j:65102",
MRreviewer = "Darrell L. Hicks",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Baker:1980:CGA,
author = "Garth A. Baker and Vassilios A. Dougalis",
title = "On the ${L}^{\infty }$-convergence of {Galerkin}
approximations for second-order hyperbolic equations",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "401--424",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M15 (65N30)",
MRnumber = "81f:65066",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Hackbusch:1980:CMG,
author = "Wolfgang Hackbusch",
title = "Convergence of multi-grid iterations applied to
difference equations",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "425--440",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N20 (65F10)",
MRnumber = "83b:65112",
MRreviewer = "Robert Beauwens",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/mgnet.bib;
Parallel/Multi.bib; Parallel/Multi.grid.bib;
Theory/o_ccd.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Math. Inst., Univ. zu Koln, Koln, West Germany",
keywords = "boundary value problems; convergence; convergence of
numerical methods; difference equations; finite element
equations; Gauss Seidel iteration; iterations;
iterative methods; Lipschitzian regions; multi grid",
treatment = "T Theoretical or Mathematical",
}
@Article{Dupont:1980:PAF,
author = "Todd Dupont and Ridgway Scott",
title = "Polynomial approximation of functions in {Sobolev}
spaces",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "441--463",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15 (41A10)",
MRnumber = "81h:65014",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); B0290F
(Interpolation and function approximation); C1160
(Combinatorial mathematics); C4130 (Interpolation and
function approximation)",
corpsource = "Dept. of Math., Univ. of Chicago, Chicago, IL, USA",
keywords = "averaged Taylor series; function approximation;
polynomial; polynomials; Sobolev spaces; topology",
treatment = "T Theoretical or Mathematical",
}
@Article{Paige:1980:EAS,
author = "C. C. Paige",
title = "Error Analysis of Some Techniques for Updating
Orthogonal Decompositions",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "465--471",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F30",
MRnumber = "81h:65040",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
kwds = "math, nla, qrd, updating, rounding error",
}
@Article{Manteuffel:1980:IFT,
author = "T. A. Manteuffel",
title = "An Incomplete Factorization Technique for Positive
Definite Linear Systems",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "473--497",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10 (15A06)",
MRnumber = "82c:65019",
MRreviewer = "R. E. Funderlic",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
kwds = "nla, preconditioning, incomplete factorization",
}
@Article{Shanno:1980:VMM,
author = "D. F. Shanno",
title = "On variable-metric methods for sparse {Hessians}",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "499--514",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65K10 (15A57 90C30)",
MRnumber = "81j:65077",
MRreviewer = "M. T. Heath",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Stokes:1980:SQD,
author = "A. N. {Stokes}",
title = "A Stable Quotient-Difference Algorithm",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "515--519",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D15 (41A21)",
MRnumber = "81i:65019",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Marti:1980:CAC,
author = "J. T. Marti",
title = "On the convergence of an algorithm computing
minimum-norm solutions of ill-posed problems",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "521--527",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65J10 (47A50)",
MRnumber = "83g:65058",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Eidgenossische Tech. Hochschule, Zurich, Switzerland",
keywords = "bound; convergence; convergence of numerical methods;
error; finite element algorithm; finite element
analysis; Hilbert space; ill posed; minimum norm
solutions; problems; second derivative",
treatment = "T Theoretical or Mathematical",
}
@Article{Shrager:1980:NCF,
author = "Richard I. Shrager and Edward {Hill, Jr.}",
title = "Nonlinear curve-fitting in the ${L}_{1}$ and
${L}_{\infty }$ norms",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "529--541",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A45 (41A50 65D10)",
MRnumber = "83g:41027",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Lab. of Appl. Studies, Nat. Insts. of Health,
Bethesda, MD, USA",
keywords = "curve fitting; Levenberg Marquardt method; linear
programming; nonlinear curve fitting; search parameter;
trial parameters",
treatment = "T Theoretical or Mathematical",
}
@Article{Minoli:1980:IFG,
author = "Daniel Minoli",
title = "Inductive Formulae for General Sum Operations",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "543--545",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B15 (10J06 40-04)",
MRnumber = "81g:65002",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Char:1980:SCF,
author = "Bruce W. Char",
title = "On {Stieltjes}' continued fraction for the gamma
function",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "547--551",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "81b:65008",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Fransen:1980:HPV,
author = "Arne Frans{\'e}n and Staffan Wrigge",
title = "High-precision values of the gamma function and of
some related coefficients",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "553--566",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D20)",
MRnumber = "81f:65004",
MRreviewer = "F. W. J. Olver",
bibdate = "Sat Apr 01 10:12:58 2000",
bibsource = "JSTOR database",
note = "See addendum and corrigendum
\cite{Fransen:1981:ACH}.",
acknowledgement = ack-nhfb,
}
@Article{Williams:1980:CRP,
author = "H. C. Williams and G. Cormack and E. Seah",
title = "Calculation of the Regulator of a Pure Cubic Field",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "567--611",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A45 (12A30 12A50)",
MRnumber = "81d:12003",
MRreviewer = "J. C. Lagarias",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{James:1980:GOO,
author = "Rodney James",
title = "The Groups of Order $p^6$ ($p$ an Odd Prime)",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "613--637",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20D15",
MRnumber = "81a:20024",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Minoli:1980:INH,
author = "Daniel Minoli",
title = "Issues in Nonlinear Hyperperfect Numbers",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "639--645",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20",
MRnumber = "82c:10005",
MRreviewer = "Masao Kishore",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Wagstaff:1980:DCS,
author = "Samuel S. {Wagstaff, Jr.}",
title = "$p$-divisibility of certain sets of {Bernoulli}
numbers",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "647--649",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A40 (12A50)",
MRnumber = "81i:10018",
MRreviewer = "T. Mets{\"a}nkyl{\"a}",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Anonymous:1980:C,
author = "Anonymous",
title = "Corrigenda",
journal = j-MATH-COMPUT,
volume = "34",
number = "150",
pages = "652--652",
month = apr,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
}
@Article{Bramble:1980:EHO,
author = "James H. Bramble and Peter H. Sammon",
title = "Efficient Higher Order Single Step Methods for
Parabolic Problems: Part {I}",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "655--677",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65M15)",
MRnumber = "81h:65110",
MRreviewer = "G. W. Hedstrom",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA",
keywords = "approximation; boundary-value problems; differential
equations; Galerkin type; high order methods; initial
boundary value problem; iterative methods; parabolic
problems; partial; preconditioned iterative technique;
single step methods; spatial variables",
treatment = "T Theoretical or Mathematical",
}
@Article{deBoor:1980:CAE,
author = "Carl {de Boor} and Blair Swartz",
title = "Collocation approximation to eigenvalues of an
ordinary differential equation: the principle of the
thing",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "679--694",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L15",
MRnumber = "81k:65097",
MRreviewer = "Steven M. Serbin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/nld.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Math. Res. Center, Madison, WI, USA",
keywords = "collocation approximation; compact linear maps;
differential equations; eigenvalues; eigenvalues and
eigenfunctions; Gauss points; ordinary differential
equation; piecewise polynomial functions; polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Berger:1980:GOS,
author = "Alan E. Berger and Jay M. Solomon and Melvyn Ciment
and Stephen H. Leventhal and Bernard C. Weinberg",
title = "Generalized {OCI} schemes for boundary layer
problems",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "695--731",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10 (65M10)",
MRnumber = "81f:65057",
MRreviewer = "C. Wayne Mastin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Naval Surface Weapons Center, Silver Spring, MD, USA",
keywords = "boundary layer problems; difference equations;
discrete maximum; error estimates; fourth order
difference schemes; OCI schemes; operation compact
implicit schemes; principle; problems; Reynolds number
limitation; singular perturbation",
treatment = "T Theoretical or Mathematical",
}
@Article{Swartz:1980:CID,
author = "Blair Swartz",
title = "Compact, implicit difference schemes for a
differential equation's side conditions",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "733--746",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10 (65L05)",
MRnumber = "81f:65063",
MRreviewer = "P. M. Dew",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Los Alamos Sci. Lab., Univ. of California, Los Alamos,
NM, USA",
keywords = "approximate; compact; convergence of numerical
methods; convergence rates; differential equation's
side conditions; differential equations; divided
difference data; implicit difference scheme; initial
divided differences; interior difference equations;
linear ordinary differential equation; polynomial
exactness; polynomials; shooting; solution",
treatment = "T Theoretical or Mathematical",
}
@Article{Lundin:1980:CFM,
author = "L. R. Lundin",
title = "A cardinal function method of solution of the equation
${\Delta} u=u-u^{3}$",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "747--756",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65P05",
MRnumber = "81g:65172",
MRreviewer = "Eugene Allgower",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Dept. of Computer and Information Sci., State Univ.
Coll., Potsdam, NY, USA",
keywords = "approximation; cardinal function method; differential
equations; function approximation; functional; Klein
Gordon equation; zeros",
treatment = "T Theoretical or Mathematical",
}
@Article{Maher:1980:ETT,
author = "David P. Maher",
title = "Existence theorems for transforms over finite rings
with applications to {2-D} convolution",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "757--765",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10-04 (94B35)",
MRnumber = "81f:10002",
MRreviewer = "Jack K. Wolf",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0230 (Integral transforms); C1130 (Integral
transforms)",
corpsource = "Dept. of Math., Worcester Polytech. Inst., Worcester,
MA, USA",
keywords = "2D convolution; arbitrary finite commutative rings;
class rings; finite rings; Fourier like transforms;
residue; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Cash:1980:NOA,
author = "J. R. Cash",
title = "A note on {Olver}'s algorithm for the solution of
second-order linear difference equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "767--772",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65Q05",
MRnumber = "81h:65124",
MRreviewer = "R. M. M. Mattheij",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Imperial Coll., London, UK",
keywords = "difference equations; linear difference equations;
Olver's algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Nocedal:1980:UQN,
author = "Jorge Nocedal",
title = "Updating Quasi-{Newton} Matrices with Limited
Storage",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "773--782",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65K05 (90C30)",
MRnumber = "81g:65077",
MRreviewer = "Aur{\'e}l Gal{\'a}ntai",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/auto.diff.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "B0260 (Optimisation techniques); B0290H (Linear
algebra); C1180 (Optimisation techniques); C4140
(Linear algebra)",
corpsource = "Univ. Nacional Autonoma de Mexico, Mexico City,
Mexico",
keywords = "BFGS; iterative methods; limited storage; matrix
algebra; minimisation; minimization methods; quasi
Newtonian matrices; update formula",
kwds = "nlop, quasi-Newton method, sparse",
referred = "[Navo91a].",
treatment = "T Theoretical or Mathematical",
}
@Article{Makroglou:1980:CBB,
author = "Athena Makroglou",
title = "Convergence of a block-by-block method for nonlinear
{Volterra} integro-differential equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "783--796",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65R20",
MRnumber = "81g:65180",
MRreviewer = "Sean McKee",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); B0290R (Integral
equations); C4170 (Differential equations); C4180
(Integral equations)",
corpsource = "Athens Univ., Athens, Greece",
keywords = "block by block method; convergence; convergence of
numerical methods; equations; integro-differential;
nonlinear Volterra integro differential",
treatment = "T Theoretical or Mathematical",
}
@Article{Meek:1980:MVT,
author = "D. Meek",
title = "A Mean Value Theorem for Linear Functionals",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "797--802",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A58 (65G99)",
MRnumber = "81f:41033",
MRreviewer = "David R. Hill",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290B (Error analysis in numerical methods); B0290D
(Functional analysis); C4110 (Error analysis in
numerical methods); C4120 (Functional analysis)",
corpsource = "Dept. of Computer Sci., Univ. of Manitoba, Winnipeg,
Man., Canada",
keywords = "discretization formulas; error analysis; errors;
function evaluation; linear functionals; mean value
theorem; Peano kernel",
treatment = "T Theoretical or Mathematical",
}
@Article{Larkin:1980:RFF,
author = "F. M. Larkin",
title = "Root-Finding by Fitting Rational Functions",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "803--816",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65H05",
MRnumber = "81k:65049",
MRreviewer = "Erich Bohl",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Computing and Information Sci., Queen's
Univ., Kingston, Ont., Canada",
keywords = "abscissae; analytic function; asymptotic convergence
properties; finding; function approximation; rational
functions; root; tabular recursive method",
treatment = "T Theoretical or Mathematical",
}
@Article{Skeel:1980:IRI,
author = "Robert D. Skeel",
title = "Iterative Refinement Implies Numerical Stability for
{Gaussian} Elimination",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "817--832",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F05 (65F35)",
MRnumber = "83e:65058",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Parallel/par.lin.alg.bib;
Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Univ. of Illinois, Urbana, IL,
USA",
keywords = "algebra; column pivoting; convergence of numerical
methods; Gaussian elimination; iterative refinement;
matrix; matrix algebra; numerical stability; row
pivoting; scaling problems",
kwds = "nla, lud, rounding error",
treatment = "T Theoretical or Mathematical",
}
@Article{Sidi:1980:ACT,
author = "Avram Sidi",
title = "Analysis of convergence of the ${T}$-transformation
for power series",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "833--850",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A60 (40A05 40A25 41A25)",
MRnumber = "83d:41039",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290Z (Other numerical methods); C4190 (Other
numerical methods)",
corpsource = "Dept. of Computer Sci., Technion-Israel Inst. of
Technol., Haifa, Israel",
keywords = "convergence; convergence of numerical methods;
Levin's; nonlinear sequence transformations; power
series; T-transformation; transforms",
treatment = "T Theoretical or Mathematical",
}
@Article{Sidi:1980:NQN,
author = "Avram Sidi",
title = "Numerical quadrature and nonlinear sequence
transformations; unified rules for efficient
computation of integrals with algebraic and logarithmic
endpoint singularities",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "851--874",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30 (41A55)",
MRnumber = "81h:65017",
MRreviewer = "S. Dubuc",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Computer Sci. Dept., Technion-Israel Inst. of
Technol., Haifa, Israel",
keywords = "abscissas; algebraic endpoint singularities;
convergence; endpoint singularities; formulas; Gaussian
formulas; integrals; integration; interpolatory type;
logarithmic; nonlinear sequence transformations;
numerical integration; numerical quadrature",
treatment = "T Theoretical or Mathematical",
}
@Article{Bultheel:1980:RAM,
author = "Adhemar Bultheel",
title = "Recursive algorithms for the matrix {Pad{\'e}}
problem",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "875--892",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "41A21 (65D15)",
MRnumber = "81h:41017",
MRreviewer = "Hans-J{\"u}rgen Albrand",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Katholieke Univ. Leuven, Heverlee, Belgium",
keywords = "interpretation; matrix algebra; matrix Pad{\'e}
problem; matrix triangularization; recursive
algorithms; Trench Zohar algorithm",
treatment = "T Theoretical or Mathematical",
}
@Article{Horner:1980:RRC,
author = "T. S. Horner",
title = "Recurrence relations for the coefficients in
{Chebyshev} series solutions of ordinary differential
equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "893--905",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05 (65D20)",
MRnumber = "81d:65038",
MRreviewer = "L. F. Shampine",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Univ. of Wollongong, Wollongong, NSW,
Australia",
keywords = "Chebyshev series solutions; differential equations;
linear differential equations; ordinary differential
equations; polynomial coefficient; polynomials;
recurrence relations",
treatment = "T Theoretical or Mathematical",
}
@Article{Philip:1980:CPC,
author = "J. R. Philip",
title = "The convergence and partial convergence of alternating
series",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "907--916",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "40A05 (65B10)",
MRnumber = "81h:40004",
MRreviewer = "Tikam Singh",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290Z (Other numerical methods); C4190 (Other
numerical methods)",
corpsource = "Div. of Environmental Mech., CSIRO, Canberra, ACT,
Australia",
keywords = "alternating series; Bernoulli; convergence;
convergence of numerical methods; Euler Maclaurin
expansion; monotonic function; numbers; partial
convergence",
treatment = "T Theoretical or Mathematical",
}
@Article{Allasia:1980:NET,
author = "G. Allasia and F. Bonardo",
title = "On the Numerical Evaluation of Two Infinite Products",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "917--931",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D20 (65A05)",
MRnumber = "81f:65013",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290D (Functional analysis); C4120 (Functional
analysis)",
corpsource = "Inst. of Numerical Analysis, Univ. of Turin, Turin,
Italy",
keywords = "function evaluation; infinite products; numerical
evaluation; series expansion",
treatment = "T Theoretical or Mathematical",
}
@Article{Isaacs:1980:ELF,
author = "Godfrey L. Isaacs",
title = "Exponential Laws for Fractional Differences",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "933--936",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "39A05",
MRnumber = "82e:39001",
MRreviewer = "B. M. Agrawal",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Herbert H. Lehman Coll., City Univ. of
New York, New York, NY, USA",
keywords = "difference equations; exponent law; fractional
differences",
treatment = "T Theoretical or Mathematical",
}
@Article{Tretter:1980:FCC,
author = "Marietta J. Tretter and G. W. Walster",
title = "Further comments on the computation of modified
{Bessel} function ratios",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "937--939",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40",
MRnumber = "81d:33005",
MRreviewer = "James M. Horner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Pennsylvania State Univ., University Park, PA, USA",
keywords = "function approximation; modified Bessel function
ratios",
treatment = "T Theoretical or Mathematical",
}
@Article{Leon:1980:AFB,
author = "Jeffrey S. Leon",
title = "On an algorithm for finding a base and a strong
generating set for a group given by generating
permutations",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "941--974",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "20-04 (20F05)",
MRnumber = "82i:20004",
MRreviewer = "Colin M. Campbell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Math., Univ. of Illinois, Chicago, IL, USA",
keywords = "base; computational group theory; group; group theory;
permutations; strong generating set",
treatment = "T Theoretical or Mathematical",
}
@Article{Gostin:1980:F,
author = "Gary B. Gostin",
title = "A Factor of ${F}_{17}$",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "975--976",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A25 (10-04)",
MRnumber = "81f:10010",
MRreviewer = "J. L. Selfridge",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290Z (Other numerical methods); C4190 (Other
numerical methods); C7310 (Mathematics computing)",
keywords = "175; analysis; CDC Cyber; Compass assembly language;
factoring; FORTRAN; machine implementation;
mathematical; mathematical analysis; prime factor",
treatment = "T Theoretical or Mathematical",
}
@Article{Howard:1980:SCB,
author = "F. T. Howard",
title = "A Special Class of {Bell} Polynomials",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "977--989",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A40 (05A15)",
MRnumber = "82g:10028",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Wake Forest Univ., Winston-Salem, NC,
USA",
keywords = "Bell polynomials; Bernoulli number; polynomials;
Stirling number",
treatment = "T Theoretical or Mathematical",
}
@Article{Agrawal:1980:ECC,
author = "M. K. Agrawal and J. H. Coates and D. C. Hunt and A.
J. {van der Poorten}",
title = "Elliptic curves of conductor $11$",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "991--1002",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10D12 (10B10 14K07)",
MRnumber = "81e:10022",
MRreviewer = "M. A. Kenku",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0250 (Combinatorial mathematics); C1160
(Combinatorial mathematics)",
corpsource = "Dept. of Math., Panjab Univ., Chandigarh, India",
keywords = "algebraic numbers; conductor 11; differential
equations; Diophantine equation; elliptic curves;
inequalities; linear forms; logarithms; sharp; Taniyama
Weil conjecture; Thue Mahler equation; topology",
treatment = "T Theoretical or Mathematical",
}
@Article{Pomerance:1980:P,
author = "Carl Pomerance and J. L. Selfridge and Samuel S.
{Wagstaff, Jr.}",
title = "The Pseudoprimes to $25 \cdot 10^9$",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "1003--1026",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A40 (10-04 10A25)",
MRnumber = "82g:10030",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. of Math., Univ. of Illinois, Urbana, IL, USA",
keywords = "Carmichael numbers; counting function; Lucas
sequences; mathematical analysis; primality;
pseudoprimes",
treatment = "T Theoretical or Mathematical",
}
@Article{Hagis:1980:OPE,
author = "Peter {Hagis, Jr.}",
title = "Outline of a proof that every odd perfect number has
at least eight prime factors",
journal = j-MATH-COMPUT,
volume = "35",
number = "151",
pages = "1027--1032",
month = jul,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10A20",
MRnumber = "81k:10004",
MRreviewer = "Carl Pomerance",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Dept. of Math., Temple Univ., Philadelphia, PA, USA",
keywords = "mathematical analysis; odd perfect number; prime
factors",
treatment = "T Theoretical or Mathematical",
}
@Article{Babuska:1980:AMM,
author = "I. Babu{\v{s}}ka and J. Osborn and J. Pitk{\"a}ranta",
title = "Analysis of Mixed Methods Using Mesh Dependent Norms",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1039--1062",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65N15 73K10)",
MRnumber = "81m:65166",
MRreviewer = "Rolf Rannacher",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Math., Univ. of Maryland, College Park, MD,
USA",
keywords = "biharmonic problem; bounded bilinear; computational
complexity; finite dimensional space; form; function
approximation; Hilbert space; mesh dependent norm;
methods; numerical; point problem; Ritz Galerkin
approximation; saddle",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Johnson:1980:CBI,
author = "Claes Johnson and J.-Claude N{\'e}d{\'e}lec",
title = "On the coupling of boundary integral and finite
element methods",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1063--1079",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "82c:65072",
MRreviewer = "Reinhard Scholz",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4180
(Integral equations)",
corpsource = "Chalmers Technol. Inst., Goteborg, Sweden",
keywords = "asymptotic behaviour; boundary integral; bounded;
bounded regular domain; coupling; differential
operator; Dirichlet; error analysis; error estimate;
finite element analysis; integral equations; problem;
subdomain",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Pasciak:1980:SPS,
author = "Joseph E. Pasciak",
title = "Spectral and Pseudo Spectral Methods for Advection
Equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1081--1092",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65M10 (65M15)",
MRnumber = "81i:65073",
MRreviewer = "E. H. Twizell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4130
(Interpolation and function approximation); C4170
(Differential equations)",
corpsource = "Appl. Math. Dept., Brookhaven Nat. Lab., Upton, NY,
USA",
keywords = "advection equation; collocation projection; error
analysis; finite dimensional subspace; finite element
analysis; Galerkin projection; numerical methods;
partial differential equations; polynomial; pseudo
spectral method; spectral method; trigonometric",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Luskin:1980:FEM,
author = "Mitchell Luskin",
title = "A finite element method for first-order hyperbolic
systems",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1093--1112",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65M15 76N15)",
MRnumber = "81i:65092",
MRreviewer = "E. H. Twizell",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290P (Differential equations); C1220 (Simulation,
modelling and identification); C4110 (Error analysis in
numerical methods); C4170 (Differential equations);
C4240 (Programming and algorithm theory)",
corpsource = "Dept. of Math., Univ. of Michigan, Ann Arbor, MI,
USA",
keywords = "analysis; computational complexity; equations; error
analysis; finite element; first order hyperbolic
equation; isothermal; L/sup 2/ norm; modelling;
momentum density; numerical methods; partial
differential; spaces family; speed",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Pitkaranta:1980:LSC,
author = "Juhani Pitk{\"a}ranta",
title = "Local Stability Conditions for the {Babu{\v{s}}ka}
Method of {Lagrange} Multipliers",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1113--1129",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30",
MRnumber = "81m:65174",
MRreviewer = "V. Thom{\'e}e",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290R (Integral equations); C4180 (Integral
equations)",
corpsource = "Inst. of Math., Helsinki Univ. of Technol., Espoo,
Finland",
keywords = "Babu{\v{s}}ka method; bounded domain; connected
domain; convergence of numerical methods; finite
element analysis; integral equations; Lagrange
multipliers; mesh dependent norm; stability; weight
dependent norm",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Goldstein:1980:VCE,
author = "Charles I. Goldstein",
title = "Variational crimes and ${L}^{\infty }$ error estimates
in the finite element method",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1131--1157",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65N30 (65N15)",
MRnumber = "81m:65169",
MRreviewer = "V. Thom{\'e}e",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4110 (Error analysis in numerical methods); C4180
(Integral equations)",
corpsource = "Applied Math. Dept., Brookhaven Nat. Lab., Upton, NY,
USA",
keywords = "analysis; bilinear form; boundary-value problems;
bounded domain; cosine; directional; error analysis;
finite element; Galerkin method; integration; linear
elliptic boundary value problem; patch test; second
order boundary; smoothness; triangulation; value
problem",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Cooper:1980:AMN,
author = "G. J. Cooper and A. Sayfy",
title = "Additive methods for the numerical solution of
ordinary differential equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1159--1172",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "81k:65079",
MRreviewer = "David K. Kahaner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "School of Math. and Phys. Sci., Univ. of Sussex,
Brighton, UK",
keywords = "convergence of numerical methods; decomposition;
differential equations; finite element analysis;
initial value problems; linear; matrices triple;
ordinary differential equation; s-stage additive
method; step length",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Alfeld:1980:MST,
author = "Peter Alfeld",
title = "A method of skipping the transient phase in the
solution of separably stiff ordinary initial value
problems",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1173--1176",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05",
MRnumber = "81k:65076",
MRreviewer = "David K. Kahaner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Dept. of Math., Univ. of Utah, Salt Lake City, UT,
USA",
keywords = "derivative; differential equations; gradient
projection technique; initial value problems; methods;
numerical; skipping method; stiff component; stiff
ordinary initial value problem; transient phase",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Katti:1980:FDS,
author = "C. P. Katti",
title = "Five-diagonal sixth order methods for two-point
boundary value problems involving fourth order
differential equations",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1177--1179",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L10",
MRnumber = "81k:65089",
MRreviewer = "David K. Kahaner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations)",
corpsource = "Dept. of Math., Indian Inst. of Technol., New Delhi,
India",
keywords = "boundary; boundary-value problems; coefficient matrix;
condition; difference equations; differential
equations; five diagonal system; fourth order
differential equation; linear; numerical methods; point
boundary value problem; sixth order method; two",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Corliss:1980:IOC,
author = "George F. Corliss",
title = "Integrating {ODE}s in the complex plane---pole
vaulting",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1181--1189",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65L05 (34A20)",
MRnumber = "81m:65115",
MRreviewer = "Jack Williams",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4170 (Differential equations); C4180 (Integral
equations)",
corpsource = "Dept. of Math. and Statistics, Marquette Univ.,
Milwaukee, WI, USA",
keywords = "complex plane pole vaulting; derivative; differential
equations; integration; method; multistep method;
numerical methods; path testing; Taylor series",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Neta:1980:DBP,
author = "Beny Neta",
title = "On determination of best-possible constants in
integral inequalities involving derivatives",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1191--1193",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "26D15 (46E30 65J99)",
MRnumber = "81m:26014",
MRreviewer = "J. Albrycht",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4180 (Integral equations)",
corpsource = "Dept. of Math. and Sci., Northern Illinois Univ.,
Dekalb, IL, USA",
keywords = "approximation theory; best possible constant; bound;
derivative; integral equations; integral inequalities;
L/sub 2/ norm; locally continuous space; lower bound;
upper",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Stynes:1980:FCB,
author = "Martin Stynes",
title = "On faster convergence of the bisection method for all
triangles",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1195--1201",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "51N99 (65B99 65N30)",
MRnumber = "81j:51023",
MRreviewer = "V. Pereyra",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4100 (Numerical analysis)",
corpsource = "Waterford Regional Tech. Coll., Waterford, Ireland",
keywords = "bisection method; convergence; finite element
analysis; lower bound; mesh; midpoint; triangle; upper
bound; vertices",
treatment = "T Theoretical or Mathematical",
}
@Article{Ferguson:1980:CJP,
author = "Warren E. {Ferguson, Jr.}",
title = "The construction of {Jacobi} and periodic {Jacobi}
matrices with prescribed spectra",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1203--1220",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F30 (15A18 58F07 65L15)",
MRnumber = "82c:65027",
MRreviewer = "Ludwig Elsner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Math. Res. Center, Univ. of Wisconsin, Madison, WI,
USA",
keywords = "algorithms; Hill equation; inverse eigenvalue; matrix
algebra; periodic Jacobi matrice; spectral method;
Sturm Liouville equation; tridiagonal matrix",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Meinardus:1980:OPN,
author = "G{\"u}nter Meinardus and G. D. Taylor",
title = "Optimal Partitioning of {Newton}'s Method for
Calculating Roots",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1221--1230",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65H05 (41A30)",
MRnumber = "81j:65069",
MRreviewer = "Derek W. Arthur",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Fachbereich Math., Univ. of Siegen, Siegen, West
Germany",
keywords = "cube root; domain interval; function approximation;
iterative methods; method; Newton; optimal
partitioning; reciprocal square root; square root;
subinterval",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Serbin:1980:FCC,
author = "Steven M. Serbin",
title = "On Factoring a Class of Complex Symmetric Matrices
Without Pivoting",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1231--1234",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F05",
MRnumber = "81i:65025",
MRreviewer = "Eugene L. Wachspress",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Math., Univ. of Tennessee, Knoxville, TN,
USA",
keywords = "bandwidth; Cholesky; complex Hermitian; complex
symmetric matrice; decomposition; diagonal;
factorisation; matrix algebra; numerical methods;
pivoting; real Hermitian",
kwds = "nla, lud, complex matrix, symmetric matrix, pivoting",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Anand:1980:NSN,
author = "Indu Mati Anand",
title = "Numerical Stability of Nested Dissection Orderings",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1235--1249",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F05 (65N20)",
MRnumber = "82c:65014",
MRreviewer = "Steven M. Serbin",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
keywords = "band; Cholesky; convergence of numerical methods;
definite matrices; discretisation; factorisation;
finite element analysis; matrix algebra; nested
dissection ordering; ordering; positive matrices;
sparse matrices",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Ericsson:1980:STL,
author = "Thomas Ericsson and Axel Ruhe",
title = "The spectral transformation {L{\'a}nczos} method for
the numerical solution of large sparse generalized
symmetric eigenvalue problems",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1251--1268",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F15 (15A18 65N30)",
MRnumber = "83b:65034",
MRreviewer = "Alan L. Andrew",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "Parallel/par.lin.alg.bib; Theory/Matrix.bib; JSTOR
database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Numerical Analysis, Univ. Umea, Umea,
Sweden",
keywords = "factorization; finite element analysis; generalized;
Lanczos method; large sparse eigenvalue; linear system
routine; matrix algebra; spectral transformation;
subspace iteration; symmetric eigenvalue",
kwds = "nla, geig, Lanczos algorithm, symmetric matrix",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Martins:1980:AOI,
author = "M. Madalena Martins",
title = "On an accelerated overrelaxation iterative method for
linear systems with strictly diagonally dominant
matrix",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1269--1273",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65F10",
MRnumber = "83h:65045",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Dept. of Math., Univ. of Coimbra, Coimbra, Portugal",
keywords = "accelerated overrelaxation method; eigenvalue; linear
algebra; linear systems; lower bound; relaxation
theory; strictly diagonally dominant matrix",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Rabinowitz:1980:EDP,
author = "Philip Rabinowitz",
title = "The exact degree of precision of generalized
{Gauss--Kronrod} integration rules",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1275--1283",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65D30",
MRnumber = "81j:65047",
MRreviewer = "David K. Kahaner",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot,
Israel",
keywords = "Gauss Kronrod integration; Gegenbauer polynomial;
integration; Lobatto rule; numerical methods; weight
function",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{King:1980:EOP,
author = "Richard F. King",
title = "An efficient one-point extrapolation method for linear
convergence",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1285--1290",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B99 (65H05)",
MRnumber = "82b:65004",
MRreviewer = "Thomas A. Atchison",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database; Theory/Matrix.bib",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Argonne Nat. Lab., Argonne, IL, USA",
keywords = "approximation; convergence of numerical methods; error
equation; extrapolation; fixed point; function; linear
convergence; Newton method; nonlinear function; one;
point extrapolation",
kwds = "nlop, extrapolation",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Gatteschi:1980:SOP,
author = "Luigi Gatteschi",
title = "On Some Orthogonal Polynomial Integrals",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1291--1298",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A65",
MRnumber = "81h:33015",
MRreviewer = "T. S. Chihara",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
corpsource = "Istituto di Calcoli Numerici, Univ. di Torino, Torino,
Italy",
keywords = "integral; integration; Laguerre polynomial;
logarithmic derivative; modified moment; numerical
methods; orthogonal polynomial; polynomial; shifted
Jacobi polynomial; weight function",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Vigneron:1980:GQI,
author = "J. P. Vigneron and Ph. Lambin",
title = "{Gaussian} quadrature of integrands involving the
error function",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1299--1307",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65A05 (65D30)",
MRnumber = "82b:65002",
MRreviewer = "M. M. Chawla",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
corpsource = "Inst. de Phys., Univ. de Liege, Liege, Belgium",
keywords = "error function; factors; Gaussian quadrature; grid
spacing; integrand; integration; numerical methods;
orthogonal polynomial; positive real axis; quadrature;
weight; weight function",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Boyd:1980:RCH,
author = "John P. Boyd",
title = "The Rate of Convergence of {Hermite} Function Series",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1309--1316",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "42C10",
MRnumber = "81h:42020",
MRreviewer = "R. A. Askey",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Atmospheric and Oceanic Sci., Univ. of
Michigan, Ann Arbor, MI, USA",
keywords = "asymptotic behaviour; convergence of numerical
methods; expansion; Hermite function series; infinite
subsequence; polynomials; Taylor",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Cruz:1980:MPR,
author = "Andr{\'e}s Cruz and Javier Sesma",
title = "Modulus and phase of the reduced logarithmic
derivative of the cylindrical {Bessel} function",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1317--1324",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A40 (65H05)",
MRnumber = "82b:33010",
MRreviewer = "H. E. Fettis",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. de Fisica Teorica, Univ. de Zaragoza, Zaragoza,
Spain",
keywords = "complex variable; cylindrical Bessel function;
derivative; function approximation; half integer index;
logarithmic; modulus; phase; reduced logarithm; saddle
points",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Fettis:1980:STI,
author = "Henry E. Fettis",
title = "On Some Trigonometric Integrals",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1325--1329",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "33A15 (33A10 33A70)",
MRnumber = "82c:33003a",
MRreviewer = "E. R. Love",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4180 (Integral equations)",
keywords = "closed form expression; complex; integration; plane;
trigonometric integrals",
treatment = "T Theoretical or Mathematical",
}
@Article{Levin:1980:ACI,
author = "David Levin",
title = "On accelerating the convergence of infinite double
series and integrals",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1331--1345",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "65B10 (65D15)",
MRnumber = "82b:65003",
MRreviewer = "Thomas A. Atchison",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4180 (Integral equations)",
corpsource = "Dept. of Math. Sci., Tel-Aviv Univ., Ramat-Aviv,
Israel",
keywords = "approximant; convergence of numerical methods;
infinite double series; integrals; integration;
N-dimensional series; Pad{\'e}; polynomials; power
series",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Wilker:1980:EAS,
author = "Peter Wilker",
title = "An Efficient Algorithmic Solution of the {Diophantine}
Equation $u^2 + 5v^2 = m$",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1347--1352",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "10B05 (10-04 10A25)",
MRnumber = "81m:10021",
MRreviewer = "R. P. Brent",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4140 (Linear algebra)",
corpsource = "Univ. Bern, Bern, Switzerland",
keywords = "algorithm; Diophantine equation; Euclidean space;
linear algebra; prime; recursive sequence;
solvability",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Willett:1980:AFF,
author = "Michael Willett",
title = "Arithmetic in a Finite Field",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1353--1359",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12-04 (68C20)",
MRnumber = "81k:12003",
MRreviewer = "J. C. Lagarias",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C5230 (Digital arithmetic methods)",
corpsource = "Dept. of Math., Univ. of North Carolina, Greensboro,
NC, USA",
keywords = "addition; algorithm; digital arithmetic; error
correcting code; finite field arithmetic; integer;
integer multiplication; linear recursion; polynomial
arithmetic",
treatment = "T Theoretical or Mathematical",
}
@Article{Boyd:1980:RPH,
author = "David W. Boyd",
title = "Reciprocal Polynomials Having Small Measure",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1361--1377",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "30C15 (12-04 26C05 65D20)",
MRnumber = "82a:30005",
MRreviewer = "M. Marden",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Univ. of British Columbia, Vancouver,
BC, Canada",
keywords = "algorithm; cyclotomic series; Graeffe method; integer
coefficients; Kronecker theorem; monic polynomial;
polynomials; root; squaring method",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Brillhart:1980:NIT,
author = "John Brillhart",
title = "Note on Irreducibility Testing",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1379--1381",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12-04 (10M05 68C20)",
MRnumber = "83g:12002",
MRreviewer = "Maurice Mignotte",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Univ. of Arizona, Tucson, AZ, USA",
keywords = "complex plane; factor; integer coefficient;
irreducibility; lie; polynomials; prime value; single
occurrence; zero modulus",
treatment = "T Theoretical or Mathematical",
}
@Article{Setzer:1980:DAI,
author = "Bennett Setzer",
title = "The determination of all imaginary, quartic, {Abelian}
number fields with class number $1$",
journal = j-MATH-COMPUT,
volume = "35",
number = "152",
pages = "1383--1386",
month = oct,
year = "1980",
CODEN = "MCMPAF",
ISSN = "0025-5718",
MRclass = "12A30 (12A50)",
MRnumber = "81k:12005",
MRreviewer = "T. Mets{\"a}nkyl{\"a}",
bib