@Preamble{""}
@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{j-ACTA-NUMERICA = "Acta Numerica"}
@String{j-MATH-TODAY = "Mathematics Today"}
@Article{DeVore:1992:W,
author = "Ronald A. DeVore and Bradley J. Lucier",
title = "Wavelets",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "1--56",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002233",
ISBN = "0-521-41026-6",
ISBN-13 = "978-0-521-41026-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Neural/neural.6.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Theory/Wavelets/wavelet.1.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
URL = "ftp://ftp.gwdg.de/pub/math/wavelets/papers/waveletGeneral.ps.gz",
abstract = "The subject of `wavelets' is expanding at such a
tremendous rate that it is impossible to give, within
these few pages, a complete introduction to all aspects
of its theory. We hope, however, to allow the reader to
become sufficiently acquainted with the subject to
understand, in part, the enthusiasm of its proponents
toward its potential application to various numerical
problems. Furthermore, we hope that our exposition can
guide the reader who wishes to make more serious
excursions into the subject. Our viewpoint is biased by
our experience in approximation theory and data
compression; we warn the reader that there are other
viewpoints that are either not represented here or
discussed only briefly. For example, orthogonal
wavelets were developed primarily in the context of
signal processing, an application upon which we touch
only indirectly. However, there are several good
expositions (e.g., Daubechies (1990) and Rioul and
Vetterli (1991)) of this application. A discussion of
wavelet decompositions in the context of
Littlewood-Paley theory can be found in the monograph
of Frazier et al. (1991). We shall also not attempt to
give a complete discussion of the history of wavelets.
Historical accounts can be found in the book of Meyer
(1990) and the introduction of the article of
Daubechies (1990). We shall try to give sufficient
historical commentary in the course of our presentation
to provide some feeling for the subject's
development.",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keyword = "wavelets",
onlinedate = "07 November 2008",
}
@Article{Freund:1992:ISL,
author = "Roland W. Freund and Gene H. Golub and No{\"e}l M.
Nachtigal",
title = "Iterative Solution of Linear Systems",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "57--100",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002245",
ISBN = "0-521-41026-6, 0-521-42291-4",
ISBN-13 = "978-0-521-41026-7, 978-0-521-42291-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/habook.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
note = "Cited in \cite{bjor:96}.",
abstract = "Recent advances in the field of iterative methods for
solving large linear systems are reviewed. The main
focus is on developments in the area of conjugate
gradient-type algorithms and Krylov subspace methods
for nonHermitian matrices.",
acknowledgement = ack-nhfb # " and " # ack-sf,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Kreiss:1992:PDT,
author = "Heinz-Otto Kreiss",
title = "Problems with different time scales",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "101--139",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002257",
ISBN = "0-521-41026-6, 0-521-42291-4",
ISBN-13 = "978-0-521-41026-7, 978-0-521-42291-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
ZMnumber = "0770.65045",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
classmath = "*65L05 (Initial value problems for ODE (numerical
methods)) 65M06 (Finite difference methods (IVP of
PDE)) 65L12 (Finite difference methods for ODE) 34A30
(Linear ODE and systems)",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "asymptotic expansions; bounded derivative principle;
extrapolation; implicit difference method; initial
value problem; slow scale solutions; survey article;
time scales",
onlinedate = "07 November 2008",
reviewer = "C. Simersk{\'a} (Praha)",
}
@Article{Marz:1992:NMD,
author = "Roswitha M{\"a}rz",
title = "Numerical methods for differential algebraic
equations",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "141--198",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002269",
ISBN = "0-521-41026-6, 0-521-42291-4",
ISBN-13 = "978-0-521-41026-7, 978-0-521-42291-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Nocedal:1992:TAU,
author = "Jorge Nocedal",
title = "Theory of Algorithms for Unconstrained Optimization",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "199--242",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002270",
ISBN = "0-521-41026-6, 0-521-42291-4",
ISBN-13 = "978-0-521-41026-7, 978-0-521-42291-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/Matrix.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
kwds = "nlop, conjugate gradients, quasi-Newton method",
onlinedate = "07 November 2008",
}
@Article{Sanz-Serna:1992:SIH,
author = "J. M. Sanz-Serna",
title = "Symplectic integrators for {Hamiltonian} problems: an
overview",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "243--286",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002282",
ISBN = "0-521-41026-6, 0-521-42291-4",
ISBN-13 = "978-0-521-41026-7, 978-0-521-42291-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Sloan:1992:EAB,
author = "Ian H. Sloan",
title = "Error analysis of boundary integral methods",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "287--339",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002294",
ISBN = "0-521-41026-6, 0-521-42291-4",
ISBN-13 = "978-0-521-41026-7, 978-0-521-42291-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Wright:1992:IMC,
author = "Margaret H. Wright",
title = "Interior Methods for Constrained Optimization",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "341--407",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002300",
ISBN = "0-521-41026-6, 0-521-42291-4",
ISBN-13 = "978-0-521-41026-7, 978-0-521-42291-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/att.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/SEL-HPC.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
URL = "ftp://netlib.att.com/netlib/att/cs/doc/91/4-10.ps.Z",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
document-size = "187.8 kbytes",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
scope = "opt",
}
@Article{Anonymous:1992:AVIa,
author = "Anonymous",
title = "{ANU} volume 1 issue 1 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "f1--f6",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002208",
ISBN = "0-521-41026-6, 0-521-42291-4",
ISBN-13 = "978-0-521-41026-7, 978-0-521-42291-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1992:AVIb,
author = "Anonymous",
title = "{ANU} volume 1 issue 1 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "b1--b1",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290000221X",
ISBN = "0-521-41026-6, 0-521-42291-4",
ISBN-13 = "978-0-521-41026-7, 978-0-521-42291-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1992:P,
author = "Anonymous",
title = "Preface",
journal = j-ACTA-NUMERICA,
volume = "1",
pages = "i--i",
year = "1992",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002221",
ISBN = "0-521-41026-6, 0-521-42291-4",
ISBN-13 = "978-0-521-41026-7, 978-0-521-42291-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1992",
bibdate = "Sat Sep 24 10:23:30 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Allgower:1993:CPF,
author = "Eugene L. Allgower and Kurt Georg",
title = "Continuation and path following",
journal = j-ACTA-NUMERICA,
volume = "2",
pages = "1--64",
year = "1993",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002336",
ISBN = "0-521-44356-3",
ISBN-13 = "978-0-521-44356-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 1993",
bibdate = "Sat Sep 24 10:23:31 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{deBoor:1993:MPP,
author = "C. de Boor",
title = "Multivariate piecewise polynomials",
journal = j-ACTA-NUMERICA,
volume = "2",
pages = "65--109",
year = "1993",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002348",
ISBN = "0-521-44356-3",
ISBN-13 = "978-0-521-44356-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 1993",
bibdate = "Sat Sep 24 10:23:31 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Demmel:1993:PNL,
author = "James W. Demmel and Michael T. Heath and Henk A. van
der Vorst",
title = "Parallel numerical linear algebra",
journal = j-ACTA-NUMERICA,
volume = "2",
pages = "111--197",
year = "1993",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290000235X",
ISBN = "0-521-44356-3",
ISBN-13 = "978-0-521-44356-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 1993",
MRclass = "65Y05 (65-02 65Fxx)",
MRnumber = "MR1224682 (94f:65133)",
MRreviewer = "K. N. Sigmon",
bibdate = "Sat Sep 24 10:23:31 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Parallel/dbpp.bib;
http://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib;
MathSciNet database",
abstract = "We survey general techniques and open problems in
numerical linear algebra on parallel architectures. We
first discuss basic principles of parallel processing,
describing the costs of basic operations on parallel
machines, including general principles for constructing
efficient algorithms. We illustrate these principles
using current architectures and software systems, and
by showing how one would implement matrix
multiplication. Then, we present direct and iterative
algorithms for solving linear systems of equations,
linear least squares problems, the symmetric eigenvalue
problem, the nonsymmetric eigenvalue problem, and the
singular value decomposition. We consider dense, band
and sparse matrices.",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{vanDorsselaer:1993:LSA,
author = "J. L. M. van Dorsselaer and J. F. B. M. Kraaijevanger
and M. N. Spijker",
title = "Linear stability analysis in the numerical solution of
initial value problems",
journal = j-ACTA-NUMERICA,
volume = "2",
pages = "199--237",
year = "1993",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002361",
ISBN = "0-521-44356-3",
ISBN-13 = "978-0-521-44356-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 1993",
bibdate = "Sat Sep 24 10:23:31 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Fortin:1993:FES,
author = "Michel Fortin",
title = "Finite element solution of the {Navier--Stokes}
equations",
journal = j-ACTA-NUMERICA,
volume = "2",
pages = "239--284",
year = "1993",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002373",
ISBN = "0-521-44356-3",
ISBN-13 = "978-0-521-44356-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 1993",
bibdate = "Sat Sep 24 10:23:31 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Yserentant:1993:ONC,
author = "Harry Yserentant",
title = "Old and new convergence proofs for multigrid methods",
journal = j-ACTA-NUMERICA,
volume = "2",
pages = "285--326",
year = "1993",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002385",
ISBN = "0-521-44356-3",
ISBN-13 = "978-0-521-44356-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 1993",
bibdate = "Sat Sep 24 10:23:31 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1993:AVIa,
author = "Anonymous",
title = "{ANU} volume 2 issue 1 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "2",
pages = "f1--f6",
year = "1993",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002312",
ISBN = "0-521-44356-3",
ISBN-13 = "978-0-521-44356-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 1993",
bibdate = "Sat Sep 24 10:23:31 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1993:AVIb,
author = "Anonymous",
title = "{ANU} volume 2 issue 1 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "2",
pages = "b1--b2",
year = "1993",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002324",
ISBN = "0-521-44356-3",
ISBN-13 = "978-0-521-44356-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 1993",
bibdate = "Sat Sep 24 10:23:31 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Alvarez:1994:FCA,
author = "Luis Alvarez and Jean Michel Morel",
title = "Formalization and computational aspects of image
analysis",
journal = j-ACTA-NUMERICA,
volume = "3",
pages = "1--59",
year = "1994",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002415",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1993",
bibdate = "Sat Sep 24 10:23:32 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Graphics/MorphDigest.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/random.closed.sets.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
annote = "imagery",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Chan:1994:DDA,
author = "Tony F. Chan and Tarek P. Mathew",
title = "Domain decomposition algorithms",
journal = j-ACTA-NUMERICA,
volume = "3",
pages = "61--143",
year = "1994",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002427",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1993",
bibdate = "Sat Sep 24 10:23:32 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Ellacott:1994:ANA,
author = "S. W. Ellacott",
title = "Aspects of the Numerical Analysis of Neural Networks",
journal = j-ACTA-NUMERICA,
volume = "3",
pages = "145--202",
year = "1994",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002439",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1993",
bibdate = "Sat Sep 24 10:23:32 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Neural/neurofuzzy.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Fornberg:1994:RPM,
author = "Bengt Fornberg and David M. Sloan",
title = "A review of pseudospectral methods for solving partial
differential equations",
journal = j-ACTA-NUMERICA,
volume = "3",
pages = "203--267",
year = "1994",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002440",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1993",
bibdate = "Sat Sep 24 10:23:32 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Glowinski:1994:EAC,
author = "R. Glowinski and J. L. Lions",
title = "Exact and approximate controllability for distributed
parameter systems",
journal = j-ACTA-NUMERICA,
volume = "3",
pages = "269--378",
year = "1994",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002452",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1993",
bibdate = "Sat Sep 24 10:23:32 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Greengard:1994:NEE,
author = "Leslie Greengard and Monique Moura",
title = "On the numerical evaluation of electrostatic fields in
composite materials",
journal = j-ACTA-NUMERICA,
volume = "3",
pages = "379--410",
year = "1994",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002464",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1993",
bibdate = "Sat Sep 24 10:23:32 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Sabin:1994:NGS,
author = "Malcolm Sabin",
title = "Numerical geometry of surfaces",
journal = j-ACTA-NUMERICA,
volume = "3",
pages = "411--466",
year = "1994",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002476",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1993",
bibdate = "Sat Sep 24 10:23:32 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Stuart:1994:NAD,
author = "Andrew M. Stuart",
title = "Numerical analysis of dynamical systems",
journal = j-ACTA-NUMERICA,
volume = "3",
pages = "467--572",
year = "1994",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002488",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1993",
bibdate = "Sat Sep 24 10:23:32 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1994:AVIa,
author = "Anonymous",
title = "{ANU} volume 3 issue 1 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "3",
pages = "f1--f6",
year = "1994",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002397",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1993",
bibdate = "Sat Sep 24 10:23:32 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1994:AVIb,
author = "Anonymous",
title = "{ANU} volume 3 issue 1 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "3",
pages = "b1--b1",
year = "1994",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002403",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A21 1993",
bibdate = "Sat Sep 24 10:23:32 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Boggs:1995:SQP,
author = "Paul T. Boggs and Jon W. Tolle",
title = "Sequential Quadratic Programming",
journal = j-ACTA-NUMERICA,
volume = "4",
pages = "1--51",
year = "1995",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002518",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A27 1995",
bibdate = "Sat Sep 24 10:23:33 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/optim.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/optimization.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Brezinski:1995:TPA,
author = "C. Brezinski and Ufr Ieea and J. {Van Iseghem}",
title = "A Taste of {Pad{\'e}} Approximation",
journal = j-ACTA-NUMERICA,
volume = "4",
pages = "53--103",
year = "1995",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290000252X",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A27 1995",
bibdate = "Sat Sep 24 10:23:33 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
abstract = "The aim of this paper is to provide an introduction to
Pad{\'e} approximation and related topics. The emphasis
is put on questions relevant to numerical analysis and
applications.",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Eriksson:1995:IAM,
author = "Kenneth Eriksson and Don Estep and Peter Hansbo and
Claes Johnson",
title = "Introduction to Adaptive Methods for Differential
Equations",
journal = j-ACTA-NUMERICA,
volume = "4",
pages = "105--158",
year = "1995",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002531",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A27 1995",
bibdate = "Sat Sep 24 10:23:33 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Glowinski:1995:EAC,
author = "R. Glowinski and J. L. Lions",
title = "Exact and approximate controllability for distributed
parameter systems",
journal = j-ACTA-NUMERICA,
volume = "4",
pages = "159--328",
year = "1995",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002543",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A27 1995",
bibdate = "Sat Sep 24 10:23:33 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1995:ES,
author = "Anonymous",
title = "Errata for Section 1.10.7",
journal = j-ACTA-NUMERICA,
volume = "4",
pages = "329--333",
year = "1995",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002555",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A27 1995",
bibdate = "Sat Sep 24 10:23:33 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Hou:1995:NSF,
author = "Thomas Y. Hou",
title = "Numerical Solutions to Free Boundary Problems",
journal = j-ACTA-NUMERICA,
volume = "4",
pages = "335--415",
year = "1995",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002567",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A27 1995",
bibdate = "Sat Sep 24 10:23:33 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Neunzert:1995:PMB,
author = "Helmut Neunzert and Jens Struckmeier",
title = "Particle Methods for the {Boltzmann} Equation",
journal = j-ACTA-NUMERICA,
volume = "4",
pages = "417--457",
year = "1995",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002579",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A27 1995",
bibdate = "Sat Sep 24 10:23:33 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Parlett:1995:NA,
author = "Beresford N. Parlett",
title = "The new {$qd$} algorithms",
journal = j-ACTA-NUMERICA,
volume = "4",
pages = "459--491",
year = "1995",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002580",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A27 1995",
bibdate = "Sat Sep 24 10:23:33 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/UIA.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "CFR",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1995:AVIa,
author = "Anonymous",
title = "{ANU} volume 4 issue 1 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "4",
pages = "f1--f6",
year = "1995",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290000249X",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A27 1995",
bibdate = "Sat Sep 24 10:23:33 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1995:AVIb,
author = "Anonymous",
title = "{ANU} volume 4 issue 1 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "4",
pages = "b1--b1",
year = "1995",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002506",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A27 1995",
bibdate = "Sat Sep 24 10:23:33 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Bank:1996:HBF,
author = "Randolph E. Bank",
title = "Hierarchical bases and the finite element method",
journal = j-ACTA-NUMERICA,
volume = "5",
pages = "1--43",
year = "1996",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002610",
ISBN = "0-521-57234-7",
ISBN-13 = "978-0-521-57234-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:35 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Gautschi:1996:OPA,
author = "Walter Gautschi",
title = "Orthogonal polynomials: applications and computation",
journal = j-ACTA-NUMERICA,
volume = "5",
pages = "45--119",
year = "1996",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002622",
ISBN = "0-521-57234-7",
ISBN-13 = "978-0-521-57234-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:35 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/UIA.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "ORT INT",
onlinedate = "07 November 2008",
}
@Article{Henshaw:1996:AGG,
author = "William D. Henshaw",
title = "Automatic grid generation",
journal = j-ACTA-NUMERICA,
volume = "5",
pages = "121--148",
year = "1996",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002634",
ISBN = "0-521-57234-7",
ISBN-13 = "978-0-521-57234-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:35 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Lewis:1996:EO,
author = "Adrian S. Lewis and Michael L. Overton",
title = "Eigenvalue Optimization",
journal = j-ACTA-NUMERICA,
volume = "5",
pages = "149--190",
year = "1996",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002646",
ISBN = "0-521-57234-7",
ISBN-13 = "978-0-521-57234-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:35 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/intbib.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/optimization.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/psd.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Luskin:1996:CCM,
author = "Mitchell Luskin",
title = "On the computation of crystalline microstructure",
journal = j-ACTA-NUMERICA,
volume = "5",
pages = "191--257",
year = "1996",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002658",
ISBN = "0-521-57234-7",
ISBN-13 = "978-0-521-57234-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:35 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Miekkala:1996:ISS,
author = "Ulla Miekkala and Olavi Nevanlinna",
title = "Iterative solution of systems of linear differential
equations",
journal = j-ACTA-NUMERICA,
volume = "5",
pages = "259--307",
year = "1996",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290000266X",
ISBN = "0-521-57234-7",
ISBN-13 = "978-0-521-57234-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:35 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Sethian:1996:TAA,
author = "James A. Sethian",
title = "Theory, algorithms, and applications of level set
methods for propagating interfaces",
journal = j-ACTA-NUMERICA,
volume = "5",
pages = "309--395",
year = "1996",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002671",
ISBN = "0-521-57234-7",
ISBN-13 = "978-0-521-57234-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:35 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Graphics/MorphDigest.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1996:AVIa,
author = "Anonymous",
title = "{ANU} volume 5 issue 1 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "5",
pages = "f1--f6",
year = "1996",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002592",
ISBN = "0-521-57234-7",
ISBN-13 = "978-0-521-57234-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:35 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1996:AVIb,
author = "Anonymous",
title = "{ANU} volume 5 issue 1 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "5",
pages = "b1--b1",
year = "1996",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002609",
ISBN = "0-521-57234-7",
ISBN-13 = "978-0-521-57234-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:35 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Cools:1997:CCF,
author = "Ronald Cools",
title = "Constructing cubature formulae: the science behind the
art",
journal = j-ACTA-NUMERICA,
volume = "6",
pages = "1--54",
year = "1997",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002701",
ISBN = "0-521-59106-6",
ISBN-13 = "978-0-521-59106-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1997",
bibdate = "Sat Sep 24 10:23:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/UIA.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "INT",
onlinedate = "07 November 2008",
}
@Article{Dahmen:1997:WMM,
author = "Wolfgang Dahmen",
title = "Wavelet and multiscale methods for operator
equations",
journal = j-ACTA-NUMERICA,
volume = "6",
pages = "55--228",
year = "1997",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002713",
ISBN = "0-521-59106-6",
ISBN-13 = "978-0-521-59106-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1997",
bibdate = "Sat Sep 24 10:23:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Parallel/domain.decomposition.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Greengard:1997:NVF,
author = "Leslie Greengard and Vladimir Rokhlin",
title = "A new version of the {Fast Multipole Method} for the
{Laplace} equation in three dimensions",
journal = j-ACTA-NUMERICA,
volume = "6",
pages = "229--269",
year = "1997",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002725",
ISBN = "0-521-59106-6",
ISBN-13 = "978-0-521-59106-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1997",
MRclass = "65Nxx, 65C20",
MRnumber = "MR1489257 (99c:65012)",
MRreviewer = "G. A. Evans",
bibdate = "Sat Sep 24 10:23:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/Bibnet/subjects/fastmultipole.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "fast multipole method",
onlinedate = "07 November 2008",
}
@Article{Gutknecht:1997:LTS,
author = "Martin H. Gutknecht",
title = "{Lanczos}-type solvers for nonsymmetric linear systems
of equations",
journal = j-ACTA-NUMERICA,
volume = "6",
pages = "271--397",
year = "1997",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002737",
ISBN = "0-521-59106-6",
ISBN-13 = "978-0-521-59106-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1997",
bibdate = "Sat Sep 24 10:23:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Li:1997:NSM,
author = "T. Y. Li",
title = "Numerical solution of multivariate polynomial systems
by homotopy continuation methods",
journal = j-ACTA-NUMERICA,
volume = "6",
pages = "399--436",
year = "1997",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002749",
ISBN = "0-521-59106-6",
ISBN-13 = "978-0-521-59106-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1997",
bibdate = "Sat Sep 24 10:23:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Petzold:1997:NSH,
author = "Linda R. Petzold and Laurent O. Jay and Jeng Yen",
title = "Numerical solution of highly oscillatory ordinary
differential equations",
journal = j-ACTA-NUMERICA,
volume = "6",
pages = "437--483",
year = "1997",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002750",
ISBN = "0-521-59106-6",
ISBN-13 = "978-0-521-59106-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1997",
bibdate = "Sat Sep 24 10:23:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Ringhofer:1997:CMS,
author = "Christian Ringhofer",
title = "Computational methods for semiclassical and quantum
transport in semiconductor devices",
journal = j-ACTA-NUMERICA,
volume = "6",
pages = "485--521",
year = "1997",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002762",
ISBN = "0-521-59106-6",
ISBN-13 = "978-0-521-59106-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1997",
bibdate = "Sat Sep 24 10:23:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Smale:1997:CTN,
author = "Steve Smale",
title = "Complexity theory and numerical analysis",
journal = j-ACTA-NUMERICA,
volume = "6",
pages = "523--551",
year = "1997",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002774",
ISBN = "0-521-59106-6",
ISBN-13 = "978-0-521-59106-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1997",
bibdate = "Sat Sep 24 10:23:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1997:AVIa,
author = "Anonymous",
title = "{ANU} volume 6 issue 1 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "6",
pages = "f1--f6",
year = "1997",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002683",
ISBN = "0-521-59106-6",
ISBN-13 = "978-0-521-59106-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1997",
bibdate = "Sat Sep 24 10:23:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1997:AVIb,
author = "Anonymous",
title = "{ANU} volume 6 issue 1 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "6",
pages = "b1--b1",
year = "1997",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002695",
ISBN = "0-521-59106-6",
ISBN-13 = "978-0-521-59106-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1997",
bibdate = "Sat Sep 24 10:23:36 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Caflisch:1998:MCQ,
author = "Russel E. Caflisch",
title = "{Monte Carlo} and quasi-{Monte Carlo} methods",
journal = j-ACTA-NUMERICA,
volume = "7",
pages = "1--49",
year = "1998",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002804",
ISBN = "0-521-64316-3",
ISBN-13 = "978-0-521-64316-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1998",
bibdate = "Sat Sep 24 10:23:37 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{DeVore:1998:NA,
author = "Ronald A. DeVore",
title = "Nonlinear approximation",
journal = j-ACTA-NUMERICA,
volume = "7",
pages = "51--150",
year = "1998",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002816",
ISBN = "0-521-64316-3",
ISBN-13 = "978-0-521-64316-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1998",
bibdate = "Sat Sep 24 10:23:37 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Parallel/domain.decomposition.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Ipsen:1998:RPR,
author = "Ilse C. F. Ipsen",
title = "Relative perturbation results for matrix eigenvalues
and singular values",
journal = j-ACTA-NUMERICA,
volume = "7",
pages = "151--201",
year = "1998",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002828",
ISBN = "0-521-64316-3",
ISBN-13 = "978-0-521-64316-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1998",
bibdate = "Sat Sep 24 10:23:37 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/Matrix.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
kwds = "nla, eig, pert, relative bound",
onlinedate = "07 November 2008",
}
@Article{Kreiss:1998:STD,
author = "Heinz-Otto Kreiss and Jens Lorenz",
title = "Stability for time-dependent differential equations",
journal = j-ACTA-NUMERICA,
volume = "7",
pages = "203--285",
year = "1998",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290000283X",
ISBN = "0-521-64316-3",
ISBN-13 = "978-0-521-64316-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1998",
bibdate = "Sat Sep 24 10:23:37 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Powell:1998:DSA,
author = "M. J. D. Powell",
title = "Direct Search Algorithms for Optimization
Calculations",
journal = j-ACTA-NUMERICA,
volume = "7",
pages = "287--336",
year = "1998",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002841",
ISBN = "0-521-64316-3",
ISBN-13 = "978-0-521-64316-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1998",
bibdate = "Sat Sep 24 10:23:37 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Watson:1998:CND,
author = "G. A. Watson",
title = "Choice of norms for data fitting and function
approximation",
journal = j-ACTA-NUMERICA,
volume = "7",
pages = "337--377",
year = "1998",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002853",
ISBN = "0-521-64316-3",
ISBN-13 = "978-0-521-64316-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1998",
bibdate = "Sat Sep 24 10:23:37 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1998:AVIa,
author = "Anonymous",
title = "{ANU} volume 7 issue 1 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "7",
pages = "f1--f6",
year = "1998",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002786",
ISBN = "0-521-64316-3",
ISBN-13 = "978-0-521-64316-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1998",
bibdate = "Sat Sep 24 10:23:37 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1998:AVIb,
author = "Anonymous",
title = "{ANU} volume 7 issue 1 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "7",
pages = "b1--b1",
year = "1998",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002798",
ISBN = "0-521-64316-3",
ISBN-13 = "978-0-521-64316-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 .A327 1998",
bibdate = "Sat Sep 24 10:23:37 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Cook:1999:NRC,
author = "Gregory B. Cook and Saul A. Teukolsky",
title = "Numerical relativity: challenges for computational
science",
journal = j-ACTA-NUMERICA,
volume = "8",
pages = "1--45",
year = "1999",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002889",
ISBN = "0-521-77088-2",
ISBN-13 = "978-0-521-77088-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 1999",
bibdate = "Sat Sep 24 10:23:38 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Hagstrom:1999:RBC,
author = "Thomas Hagstrom",
title = "Radiation boundary conditions for the numerical
simulation of waves",
journal = j-ACTA-NUMERICA,
volume = "8",
pages = "47--106",
year = "1999",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002890",
ISBN = "0-521-77088-2",
ISBN-13 = "978-0-521-77088-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 1999",
bibdate = "Sat Sep 24 10:23:38 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Natterer:1999:NMT,
author = "Frank Natterer",
title = "Numerical methods in tomography",
journal = j-ACTA-NUMERICA,
volume = "8",
pages = "107--141",
year = "1999",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002907",
ISBN = "0-521-77088-2",
ISBN-13 = "978-0-521-77088-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 1999",
bibdate = "Sat Sep 24 10:23:38 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Pinkus:1999:ATM,
author = "Allan Pinkus",
title = "Approximation theory of the {MLP} model in neural
networks",
journal = j-ACTA-NUMERICA,
volume = "8",
pages = "143--195",
year = "1999",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002919",
ISBN = "0-521-77088-2",
ISBN-13 = "978-0-521-77088-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 1999",
bibdate = "Sat Sep 24 10:23:38 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Platen:1999:INM,
author = "Eckhard Platen",
title = "An introduction to numerical methods for stochastic
differential equations",
journal = j-ACTA-NUMERICA,
volume = "8",
pages = "197--246",
year = "1999",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002920",
ISBN = "0-521-77088-2",
ISBN-13 = "978-0-521-77088-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 1999",
bibdate = "Sat Sep 24 10:23:38 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Trefethen:1999:CP,
author = "Lloyd N. Trefethen",
title = "Computation of pseudospectra",
journal = j-ACTA-NUMERICA,
volume = "8",
pages = "247--295",
year = "1999",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002932",
ISBN = "0-521-77088-2",
ISBN-13 = "978-0-521-77088-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 1999",
bibdate = "Sat Sep 24 10:23:38 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/computer.arithmetic.1.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
crindex = "Manquant",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1999:AVIa,
author = "Anonymous",
title = "{ANU} volume 8 issue 1 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "8",
pages = "f1--f6",
year = "1999",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002865",
ISBN = "0-521-77088-2",
ISBN-13 = "978-0-521-77088-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 1999",
bibdate = "Sat Sep 24 10:23:38 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Anonymous:1999:AVIb,
author = "Anonymous",
title = "{ANU} volume 8 issue 1 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "8",
pages = "b1--b1",
year = "1999",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002877",
ISBN = "0-521-77088-2",
ISBN-13 = "978-0-521-77088-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA279 1999",
bibdate = "Sat Sep 24 10:23:38 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "07 November 2008",
}
@Article{Buhmann:2000:RBF,
author = "M. D. Buhmann",
title = "Radial basis functions",
journal = j-ACTA-NUMERICA,
volume = "9",
pages = "1--38",
year = "2000",
CODEN = "ANUMFU",
ISBN = "0-521-78037-3",
ISBN-13 = "978-0-521-78037-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 11:37:15 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
URL = "http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=68665",
ZMnumber = "1004.65015",
abstract = "Radial basis function methods are modern ways to
approximate multivariate functions, especially in the
absence of grid data. They have been known, tested and
analysed for several years now and many positive
properties have been identified. This paper gives a
selective but up-to-date survey of several recent
developments that explains their usefulness from the
theoretical point of view and contributes useful new
classes of radial basis function. We consider
particularly the new results on convergence rates of
interpolation with radial basis functions, as well as
some of the various achievements on approximation on
spheres, and the efficient numerical computation of
interpolants for very large sets of data. Several
examples of useful applications are stated at the end
of the paper.",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
classmath = "*65D05 (Interpolation (numerical methods)) 41A05
(Interpolation) 41A63 (Multidimensional approximation
problems)",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "convergence; interpolation; multivariate functions;
numerical examples; radial basis function methods;
survey article",
onlinedate = "21 March 2001",
reviewer = "E. Deeba (Houston)",
}
@Article{Cliffe:2000:NAB,
author = "K. A. Cliffe and A. Spence and S. J. Tavener",
title = "The numerical analysis of bifurcation problems with
application to fluid mechanics",
journal = j-ACTA-NUMERICA,
volume = "9",
pages = "39--131",
year = "2000",
CODEN = "ANUMFU",
ISBN = "0-521-78037-3",
ISBN-13 = "978-0-521-78037-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 11:37:15 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
ZMnumber = "1005.65138",
abstract = "In this review we discuss bifurcation theory in a
Banach space setting using the singularity theory
developed by Golubitsky and Schaeffer to classify
bifurcation points. The numerical analysis of
bifurcation problems is discussed and the convergence
theory for several important bifurcations is described
for both projection and finite difference methods.
These results are used to provide a convergence theory
for the mixed finite element method applied to the
steady incompressible Navier Stokes equations.
Numerical methods for the calculation of several common
bifurcations are described and the performance of these
methods is illustrated by application to several
problems in fluid mechanics. A detailed description of
the Taylor Couette problem is given, and extensive
numerical and experimental results are provided for
comparison and discussion.",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
classmath = "*65P30 (Bifurcation problems) 35Q30 (Stokes and
Navier-Stokes equations) 76D05 (Navier-Stokes equations
(fluid dynamics)) 37K50 (Bifurcation problems) 37M20
(Computational methods for bifurcation problems)",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "applications to hydrodynamics; bifurcation theory;
convergence; Couette-Taylor problem; finite difference
methods; finite element methods; Galerkin methods;
multiparameter problems; Navier-Stokes equations;
numerical methods; one-parameter problems; projection
methods; singularity theory; superconvergence",
onlinedate = "21 March 2001",
reviewer = "Boris V. Loginov (Ul'yanovsk)",
}
@Article{Edelsbrunner:2000:TMC,
author = "Herbert Edelsbrunner",
title = "Triangulations and meshes in computational geometry",
journal = j-ACTA-NUMERICA,
volume = "9",
pages = "133--213",
year = "2000",
CODEN = "ANUMFU",
ISBN = "0-521-78037-3",
ISBN-13 = "978-0-521-78037-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 11:37:15 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
ZMnumber = "1004.65024",
abstract = "The Delaunay triangulation of a finite point set is a
central theme in computational geometry. It finds its
major application in the generation of meshes used in
the simulation of physical processes. This paper
connects the predominantly combinatorial work in
classical computational geometry with the numerical
interest in mesh generation. It focuses on the two- and
three-dimensional case and covers results obtained
during the twentieth century.",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
classmath = "*65D18 (Computer graphics and computational
geometry)",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "computational geometry; Delaunay triangulation; mesh
generation",
onlinedate = "21 March 2001",
reviewer = "Alberto Marquez (Sevilla)",
}
@Article{Iserles:2000:LGM,
author = "Arieh Iserles and Hans Z. Munthe-Kaas and Syvert P.
N{\o}rsett and Antonella Zanna",
title = "{Lie}-group methods",
journal = j-ACTA-NUMERICA,
volume = "9",
pages = "215--365",
year = "2000",
CODEN = "ANUMFU",
ISBN = "0-521-78037-3",
ISBN-13 = "978-0-521-78037-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 11:37:15 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
ZMnumber = "1064.65147",
abstract = "Many differential equations of practical interest
evolve on Lie groups or on manifolds acted upon by Lie
groups. The retention of Lie-group structure under
discretization is often vital in the recovery of
qualitatively correct geometry and dynamics and in the
minimization of the numerical error. Having introduced
requisite elements of differential geometry, this paper
surveys the novel theory of numerical integrators that
respect Lie-group structure, high-lighting theory,
algorithmic issues and a number of applications.",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
classmath = "*65P10 (Hamiltonian systems including symplectic
integrators) 37M15 (Symplectic integrators) 34A26
(Geometric methods in differential equations) 65L06
(Multistep, Runge-Kutta, and extrapolation methods)
65L20 (Stability of numerical methods for ODE) 65L70
(Error bounds (numerical methods for ODE))",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "backward error analysis; Fer expansion; Lie-group
methods; Magnus expansion; numerical integrators;
Runge-Kutta methods; stability",
onlinedate = "21 March 2001",
}
@Article{Becker:2001:OCA,
author = "Roland Becker and Rolf Rannacher",
title = "An optimal control approach to a posteriori error
estimation in finite element methods",
journal = j-ACTA-NUMERICA,
volume = "10",
pages = "1--102",
year = "2001",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492901000010",
ISBN = "0-521-80312-8",
ISBN-13 = "978-0-521-80312-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2001",
MRclass = "65N15 (49M25 65N30)",
MRnumber = "2009692 (2004g:65147)",
MRreviewer = "Wen Bin Liu",
bibdate = "Sat Sep 24 11:37:16 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "09 January 2003",
}
@Article{Ciarlet:2001:MML,
author = "Philippe G. Ciarlet",
title = "Mathematical modelling of linearly elastic shells",
journal = j-ACTA-NUMERICA,
volume = "10",
pages = "103--214",
year = "2001",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492901000022",
ISBN = "0-521-80312-8",
ISBN-13 = "978-0-521-80312-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2001",
MRclass = "74K25 (35B25 35B45 74G10 74G25 74G30)",
MRnumber = "2009693 (2005d:74020)",
MRreviewer = "J{\'a}n Lovi{\v{s}}ek",
bibdate = "Sat Sep 24 11:37:16 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "09 January 2003",
}
@Article{Chapelle:2001:SNR,
author = "Dominique Chapelle",
title = "Some new results and current challenges in the finite
element analysis of shells",
journal = j-ACTA-NUMERICA,
volume = "10",
pages = "215--250",
year = "2001",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492901000034",
ISBN = "0-521-80312-8",
ISBN-13 = "978-0-521-80312-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2001",
MRclass = "74K25 (35B25 35B45 65N30 74S05)",
MRnumber = "2009694 (2005d:74021)",
MRreviewer = "J{\'a}n Lovi{\v{s}}ek",
bibdate = "Sat Sep 24 11:37:16 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "09 January 2003",
}
@Article{Eiermann:2001:GAT,
author = "Michael Eiermann and Oliver G. Ernst",
title = "Geometric aspects of the theory of {Krylov} subspace
methods",
journal = j-ACTA-NUMERICA,
volume = "10",
pages = "251--312",
year = "2001",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492901000046",
ISBN = "0-521-80312-8",
ISBN-13 = "978-0-521-80312-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2001",
MRclass = "65F10 (65Y20)",
MRnumber = "2009695 (2004j:65042)",
MRreviewer = "Andrew Hughes-Hallett",
bibdate = "Sat Sep 24 11:37:16 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "09 January 2003",
}
@Article{Hegland:2001:DMT,
author = "Markus Hegland",
title = "Data mining techniques",
journal = j-ACTA-NUMERICA,
volume = "10",
pages = "313--355",
year = "2001",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492901000058",
ISBN = "0-521-80312-8",
ISBN-13 = "978-0-521-80312-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2001",
MRclass = "68T05 (68P15 68T30)",
MRnumber = "2009696 (2004h:68113)",
bibdate = "Sat Sep 24 11:37:16 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "09 January 2003",
}
@Article{Marsden:2001:DMV,
author = "J. E. Marsden and M. West",
title = "Discrete mechanics and variational integrators",
journal = j-ACTA-NUMERICA,
volume = "10",
pages = "357--514",
year = "2001",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290100006X",
ISBN = "0-521-80312-8",
ISBN-13 = "978-0-521-80312-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2001",
MRclass = "37M15 (37J05 65P10 70-08 70H05)",
MRnumber = "2009697 (2004h:37130)",
MRreviewer = "Christian Lubich",
bibdate = "Sat Sep 24 11:37:16 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "09 January 2003",
}
@Article{Todd:2001:SO,
author = "M. J. Todd",
title = "Semidefinite Optimization",
journal = j-ACTA-NUMERICA,
volume = "10",
pages = "515--560",
year = "2001",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492901000071",
ISBN = "0-521-80312-8",
ISBN-13 = "978-0-521-80312-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2001",
MRclass = "90-02 (90C22)",
MRnumber = "2009698 (2004g:90004)",
MRreviewer = "Kenneth O. Kortanek",
bibdate = "Sat Sep 24 11:37:16 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/optim.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/psd.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
URL = "http://www.orie.cornell.edu/~miketodd/soa4.ps.Z;
http://www.orie.cornell.edu/~miketodd/todd.html;
http://www.orie.cornell.edu/~miketodd/soa5.ps",
abstract = "Optimization problems in which the variable is not a
vector but a symmetric matrix which is required to be
positive semidefinite have been intensely studied in
the last ten years. Part of the reason for the interest
stems from the applicability of such problems to such
diverse areas as designing the strongest column,
checking the stability of a differential inclusion, and
obtaining tight bounds for hard combinatorial
optimization problems. Part also derives from great
advances in our ability to solve such problems
efficiently in theory and in practice (perhaps or would
be more appropriate: the most effective computational
methods are not always provably efficient in theory,
and vice versa). Here we describe this class of
optimization problems, give a number of examples
demonstrating its significance, outline its duality
theory, and discuss algorithms for solving such
problems.",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "09 January 2003",
}
@Article{Chu:2002:SIE,
author = "Moody T. Chu and Gene H. Golub",
title = "Structured inverse eigenvalue problems",
journal = j-ACTA-NUMERICA,
volume = "11",
pages = "1--71",
year = "2002",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000016",
ISBN = "0-521-81876-1, 0-511-55014-6 (e-book)",
ISBN-13 = "978-0-521-81876-6, 978-0-511-55014-0 (e-book)",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A28 2002eb",
MRclass = "65F18 (34A55 70J10)",
MRnumber = "2008966 (2005b:65040)",
MRreviewer = "Shu Fang Xu",
bibdate = "Sat Sep 24 11:37:17 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "15 July 2003",
}
@Article{Dyn:2002:SSG,
author = "Nira Dyn and David Levin",
title = "Subdivision schemes in geometric modelling",
journal = j-ACTA-NUMERICA,
volume = "11",
pages = "73--144",
year = "2002",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000028",
ISBN = "0-521-81876-1, 0-511-55014-6 (e-book)",
ISBN-13 = "978-0-521-81876-6, 978-0-511-55014-0 (e-book)",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A28 2002eb",
MRclass = "65D18 (65D05 65D10 65D17)",
MRnumber = "2008967 (2004g:65017)",
MRreviewer = "Luiz Henrique de Figueiredo",
bibdate = "Sat Sep 24 11:37:17 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "15 July 2003",
}
@Article{Giles:2002:AMP,
author = "Michael B. Giles and Endre S{\"u}li",
title = "Adjoint Methods for {PDEs}: {\em a posteriori} Error
Analysis and Postprocessing by Duality",
journal = j-ACTA-NUMERICA,
volume = "11",
pages = "145--236",
year = "2002",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290200003X",
ISBN = "0-521-81876-1, 0-511-55014-6 (e-book)",
ISBN-13 = "978-0-521-81876-6, 978-0-511-55014-0 (e-book)",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A28 2002eb",
MRclass = "65N15 (35G15 35J25 65N30)",
MRnumber = "2009374 (2005d:65190)",
MRreviewer = "Lucas J{\'o}dar",
bibdate = "Sat Sep 24 11:37:17 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/CFD.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Parallel/domain.decomposition.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
annote = "OPT-Adjoint:Giles2002a.pdf",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "15 July 2003",
}
@Article{Hiptmair:2002:FEC,
author = "R. Hiptmair",
title = "Finite elements in computational electromagnetism",
journal = j-ACTA-NUMERICA,
volume = "11",
pages = "237--339",
year = "2002",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000041",
ISBN = "0-521-81876-1, 0-511-55014-6 (e-book)",
ISBN-13 = "978-0-521-81876-6, 978-0-511-55014-0 (e-book)",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A28 2002eb",
MRclass = "78M10 (65N30)",
MRnumber = "2009375 (2004k:78028)",
MRreviewer = "JiChun Li",
bibdate = "Sat Sep 24 11:37:17 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "15 July 2003",
}
@Article{McLachlan:2002:SM,
author = "Robert I. McLachlan and G. Reinout W. Quispel",
title = "Splitting methods",
journal = j-ACTA-NUMERICA,
volume = "11",
pages = "341--434",
year = "2002",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000053",
ISBN = "0-521-81876-1, 0-511-55014-6 (e-book)",
ISBN-13 = "978-0-521-81876-6, 978-0-511-55014-0 (e-book)",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A28 2002eb",
MRclass = "34-02 (34C28 37J35 37M15 65L99 70G65 70H05)",
MRnumber = "2009376 (2004f:34001)",
MRreviewer = "Benedict J. Leimkuhler",
bibdate = "Sat Sep 24 11:37:17 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "15 July 2003",
}
@Article{Mischaikow:2002:TTE,
author = "Konstantin Mischaikow",
title = "Topological techniques for efficient rigorous
computation in dynamics",
journal = j-ACTA-NUMERICA,
volume = "11",
pages = "435--477",
year = "2002",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000065",
ISBN = "0-521-81876-1, 0-511-55014-6 (e-book)",
ISBN-13 = "978-0-521-81876-6, 978-0-511-55014-0 (e-book)",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A28 2002eb",
MRclass = "37M99 (37B30)",
MRnumber = "2009377 (2004k:37184)",
MRreviewer = "Gary Froyland",
bibdate = "Sat Sep 24 11:37:17 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "15 July 2003",
}
@Article{Peskin:2002:IBM,
author = "Charles S. Peskin",
title = "The immersed boundary method",
journal = j-ACTA-NUMERICA,
volume = "11",
pages = "479--517",
year = "2002",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000077",
ISBN = "0-521-81876-1, 0-511-55014-6 (e-book)",
ISBN-13 = "978-0-521-81876-6, 978-0-511-55014-0 (e-book)",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A28 2002eb",
MRclass = "74F10 (65M06 76D05 76M20 76M25 76Z05)",
MRnumber = "2009378 (2004h:74029)",
MRreviewer = "Alessandro Veneziani",
bibdate = "Sat Sep 24 11:37:17 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/CFD.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
annote = "FSF-VOF:Peskin2002a.pdf",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "15 July 2003",
}
@Article{Sorensen:2002:NML,
author = "Danny C. Sorensen",
title = "Numerical methods for large eigenvalue problems",
journal = j-ACTA-NUMERICA,
volume = "11",
pages = "519--584",
year = "2002",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000089",
ISBN = "0-521-81876-1, 0-511-55014-6 (e-book)",
ISBN-13 = "978-0-521-81876-6, 978-0-511-55014-0 (e-book)",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A28 2002eb",
MRclass = "65F15",
MRnumber = "2009379 (2004j:65048)",
MRreviewer = "David Scott Watkins",
bibdate = "Sat Sep 24 11:37:17 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "15 July 2003",
}
@Article{Babuska:2003:SMG,
author = "Ivo Babu{\v{s}}ka and Uday Banerjee and John E.
Osborn",
title = "Survey of meshless and generalized finite element
methods: a unified approach",
journal = j-ACTA-NUMERICA,
volume = "12",
pages = "1--125",
year = "2003",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000090",
ISBN = "0-521-82523-7",
ISBN-13 = "978-0-521-82523-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65-02 (41A30 65N30 74G15 74S05 76M10)",
MRnumber = "2249154 (2007k:65002)",
MRreviewer = "J. W. Jerome",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "29 July 2003",
}
@Article{Cockburn:2003:CDE,
author = "Bernardo Cockburn",
title = "Continuous dependence and error estimation for
viscosity methods",
journal = j-ACTA-NUMERICA,
volume = "12",
pages = "127--180",
year = "2003",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000107",
ISBN = "0-521-82523-7",
ISBN-13 = "978-0-521-82523-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "35L60 (35-02 35L45 65M15 76M25)",
MRnumber = "2249155 (2007e:35183)",
MRreviewer = "Christian Rohde",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "29 July 2003",
}
@Article{Engquist:2003:CHF,
author = "Bj{\"o}rn Engquist and Olof Runborg",
title = "Computational high frequency wave propagation",
journal = j-ACTA-NUMERICA,
volume = "12",
pages = "181--266",
year = "2003",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000119",
ISBN = "0-521-82523-7",
ISBN-13 = "978-0-521-82523-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65M99 (74J20 78A05 78M25)",
MRnumber = "2249156 (2007f:65043)",
MRreviewer = "Luis V{\'a}zquez",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "29 July 2003",
}
@Article{Freund:2003:MRM,
author = "Roland W. Freund",
title = "Model reduction methods based on {Krylov} subspaces",
journal = j-ACTA-NUMERICA,
volume = "12",
pages = "267--319",
year = "2003",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000120",
ISBN = "0-521-82523-7",
ISBN-13 = "978-0-521-82523-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65L05 (93B11)",
MRnumber = "2249157 (2008a:65116)",
MRreviewer = "Mohamed Masmoudi",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/att.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
URL = "http://cm.bell-labs.com/cm/cs/doc/03/4-01.ps.gz",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "29 July 2003",
}
@Article{Griewank:2003:MVA,
author = "Andreas Griewank",
title = "A mathematical view of automatic differentiation",
journal = j-ACTA-NUMERICA,
volume = "12",
pages = "321--398",
year = "2003",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000132",
ISBN = "0-521-82523-7",
ISBN-13 = "978-0-521-82523-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65D25",
MRnumber = "2249158 (2007c:65020)",
MRreviewer = "G. A. Evans",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "29 July 2003",
}
@Article{Hairer:2003:GNI,
author = "Ernst Hairer and Christian Lubich and Gerhard Wanner",
title = "Geometric numerical integration illustrated by the
{St{\"o}rmer--Verlet} method",
journal = j-ACTA-NUMERICA,
volume = "12",
pages = "399--450",
year = "2003",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000144",
ISBN = "0-521-82523-7",
ISBN-13 = "978-0-521-82523-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "37M15 (65P10 65T60 70-08 70H05)",
MRnumber = "2249159 (2007f:37136)",
MRreviewer = "Melvin Leok",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "29 July 2003",
}
@Article{Tadmor:2003:EST,
author = "Eitan Tadmor",
title = "Entropy stability theory for difference approximations
of nonlinear conservation laws and related
time-dependent problems",
journal = j-ACTA-NUMERICA,
volume = "12",
pages = "451--512",
year = "2003",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492902000156",
ISBN = "0-521-82523-7",
ISBN-13 = "978-0-521-82523-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "35L65 (35A30 65M06 76M20)",
MRnumber = "2249160 (2007g:35150)",
MRreviewer = "De Kang Mao",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "01 August 2003",
}
@Article{Bjorck:2004:CLL,
author = "{\AA}ke Bj{\"o}rck",
title = "The calculation of linear least squares problems",
journal = j-ACTA-NUMERICA,
volume = "13",
pages = "1--53",
year = "2004",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000169;
https://doi.org/10.1017/CBO9780511569975.001",
ISBN = "0-521-83811-8",
ISBN-13 = "978-0-521-83811-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65F20 (65F25 90C20)",
MRnumber = "2249145 (2007d:65044)",
MRreviewer = "Frederick N. Fritsch",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "08 June 2004",
}
@Article{Brunner:2004:NAF,
author = "Hermann Brunner",
title = "The numerical analysis of functional integral and
integro-differential equations of {Volterra} type",
journal = j-ACTA-NUMERICA,
volume = "13",
pages = "55--145",
year = "2004",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000170;
https://doi.org/10.1017/CBO9780511569975.002",
ISBN = "0-521-83811-8",
ISBN-13 = "978-0-521-83811-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "45D05 (45J05 65R20)",
MRnumber = "2249146 (2007c:45004)",
MRreviewer = "Neville J. Ford",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "08 June 2004",
}
@Article{Bungartz:2004:SG,
author = "Hans-Joachim Bungartz and Michael Griebel",
title = "Sparse grids",
journal = j-ACTA-NUMERICA,
volume = "13",
pages = "147--269",
year = "2004",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000182",
ISBN = "0-521-83811-8",
ISBN-13 = "978-0-521-83811-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65M50 (65D05 65F50 65N50 76M25)",
MRnumber = "2249147 (2007e:65102)",
MRreviewer = "Frank Schilder",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/allison.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Techreports/Stuttgart.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
abstract = "We present a survey of the fundamentals and the
applications of sparse grids, with a focus on the
solution of partial differential equations (PDEs). The
sparse grid approach, introduced in Zenger (1991), is
based on a higher-dimensional multiscale basis, which
is derived from a one-dimensional multi-scale basis by
a tensor product construction. Discretizations on
sparse grids involve $O(N \cdot (\log N)^{d-1})$
degrees of freedom only, where $d$ denotes the
underlying problem's dimensionality and where $N$ is
the number of grid points in one coordinate direction
at the boundary. The accuracy obtained with piecewise
linear basis functions, for example, is $O(N^{-2} \cdot
(\log N)^{d-1})$ with respect to the $L_{2^-}$ and
$L_{\infty}$-norm, if the solution has bounded second
mixed derivatives. This way, the curse of
dimensionality, i.e., the exponential dependence
$O(N^d)$ of conventional approaches, is overcome to
some extent. For the energy norm, only $O(N)$ degrees
of freedom are needed to give an accuracy of
$O(N^{-1})$. That is why sparse grids are especially
well-suited for problems of very high dimensionality.
The sparse grid approach can be extended to nonsmooth
solutions by adaptive refinement methods. Furthermore,
it can be generalized from piecewise linear to
higher-order polynomials. Also, more sophisticated
basis functions like interpolets, prewavelets, or
wavelets can be used in a straightforward way. We
describe the basic features of sparse grids and report
the results of various numerical experiments for the
solution of elliptic PDEs as well as for other selected
problems such as numerical quadrature and data
mining.",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "c2004, c200x, c20xx, sparse grid, numerical
approximation",
onlinedate = "08 June 2004",
}
@Article{Neumaier:2004:CSC,
author = "Arnold Neumaier",
title = "Complete search in continuous global optimization and
constraint satisfaction",
journal = j-ACTA-NUMERICA,
volume = "13",
pages = "271--369",
year = "2004",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000194;
https://doi.org/10.1017/CBO9780511569975.004",
ISBN = "0-521-83811-8",
ISBN-13 = "978-0-521-83811-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "90C26 (90B40)",
MRnumber = "2249148 (2007g:90084)",
MRreviewer = "Marco Locatelli",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "08 June 2004",
}
@Article{Smith:2004:MCM,
author = "N. P. Smith and D. P. Nickerson and E. J. Crampin and
P. J. Hunter",
title = "Multiscale computational modelling of the heart",
journal = j-ACTA-NUMERICA,
volume = "13",
pages = "371--431",
year = "2004",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000200",
ISBN = "0-521-83811-8",
ISBN-13 = "978-0-521-83811-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "92C30 (65M60 74L15 76D05 76M25 76Z05)",
MRnumber = "2249149 (2007f:92013)",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "08 June 2004",
}
@Article{Benzi:2005:NSS,
author = "Michele Benzi and Gene H. Golub and J{\"o}rg Liesen",
title = "Numerical solution of saddle point problems",
journal = j-ACTA-NUMERICA,
volume = "14",
pages = "1--137",
year = "2005",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000212",
ISBN = "0-521-85807-0",
ISBN-13 = "978-0-521-85807-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65F10 (76D07 90C47)",
MRnumber = "MR2168342 (2006m:65059)",
MRreviewer = "Timothy Nigel Phillips",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "19 April 2005",
}
@Article{Deckelnick:2005:CGP,
author = "Klaus Deckelnick and Gerhard Dziuk and Charles M.
Elliott",
title = "Computation of geometric partial differential
equations and mean curvature flow",
journal = j-ACTA-NUMERICA,
volume = "14",
pages = "139--232",
year = "2005",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000224",
ISBN = "0-521-85807-0",
ISBN-13 = "978-0-521-85807-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65M99 (35K05 35K55 53C44)",
MRnumber = "2168343 (2006h:65159)",
MRreviewer = "J. W. Jerome",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "19 April 2005",
}
@Article{Edelman:2005:RMT,
author = "Alan Edelman and N. Raj Rao",
title = "Random matrix theory",
journal = j-ACTA-NUMERICA,
volume = "14",
pages = "233--297",
year = "2005",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000236",
ISBN = "0-521-85807-0",
ISBN-13 = "978-0-521-85807-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "15A52 (60H25 82B44)",
MRnumber = "2168344 (2008f:15081)",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "19 April 2005",
}
@Article{Gould:2005:NML,
author = "Nick Gould and Dominique Orban and Philippe Toint",
title = "Numerical methods for large-scale nonlinear
optimization",
journal = j-ACTA-NUMERICA,
volume = "14",
pages = "299--361",
year = "2005",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000248",
ISBN = "0-521-85807-0",
ISBN-13 = "978-0-521-85807-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "90C30 (65K10 90-02)",
MRnumber = "2168345 (2006h:90068)",
MRreviewer = "Claudia A. Sagastiz{\'a}bal",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gould-nicholas-ian.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "19 April 2005",
}
@Article{LeBris:2005:CCP,
author = "Claude {Le Bris}",
title = "Computational chemistry from the perspective of
numerical analysis",
journal = j-ACTA-NUMERICA,
volume = "14",
pages = "363--444",
year = "2005",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290400025X",
ISBN = "0-521-85807-0",
ISBN-13 = "978-0-521-85807-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "81V55 (92E20)",
MRnumber = "2168346 (2007f:81285)",
MRreviewer = "Brian L. Burrows",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "19 April 2005",
}
@Article{Stynes:2005:SSC,
author = "Martin Stynes",
title = "Steady-state convection-diffusion problems",
journal = j-ACTA-NUMERICA,
volume = "14",
pages = "445--508",
year = "2005",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000261",
ISBN = "0-521-85807-0",
ISBN-13 = "978-0-521-85807-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "35J25 (35-02 35B40 65N06 65N30 76Mxx 76Rxx)",
MRnumber = "2170509 (2007d:35050)",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "19 April 2005",
}
@Article{Tsai:2005:TVL,
author = "Yen-Hsi Richard Tsai and Stanley Osher",
title = "Total variation and level set methods in image
science",
journal = j-ACTA-NUMERICA,
volume = "14",
pages = "509--573",
year = "2005",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492904000273",
ISBN = "0-521-85807-0",
ISBN-13 = "978-0-521-85807-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "94A08 (35A15 35K55 68T45 68U10)",
MRnumber = "2170510 (2006k:94010)",
MRreviewer = "Ram{\'o}n M. Rodr{\'\i}guez-Dagnino",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "19 April 2005",
}
@Article{Arnold:2006:FEE,
author = "Douglas N. Arnold and Richard S. Falk and Ragnar
Winther",
title = "Finite element exterior calculus, homological
techniques, and applications",
journal = j-ACTA-NUMERICA,
volume = "15",
pages = "1--155",
year = "2006",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906210018",
ISBN = "0-521-86815-7",
ISBN-13 = "978-0-521-86815-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "58A15 (47N40 65N30 74G15 74S05)",
MRnumber = "2269741 (2007j:58002)",
MRreviewer = "Thomas Garrity",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "16 May 2006",
}
@Article{Butcher:2006:GLM,
author = "J. C. Butcher",
title = "General linear methods",
journal = j-ACTA-NUMERICA,
volume = "15",
pages = "157--256",
year = "2006",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906220014",
ISBN = "0-521-86815-7",
ISBN-13 = "978-0-521-86815-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65L06 (65L07)",
MRnumber = "2269742 (2008f:65116)",
MRreviewer = "H. Brunner",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "16 May 2006",
}
@Article{Candes:2006:MSE,
author = "Emmanuel J. Cand{\`e}s",
title = "Modern statistical estimation via oracle
inequalities",
journal = j-ACTA-NUMERICA,
volume = "15",
pages = "257--325",
year = "2006",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906230010",
ISBN = "0-521-86815-7",
ISBN-13 = "978-0-521-86815-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "62J07 (62C05 62G05 62H12)",
MRnumber = "2269743 (2007m:62095)",
MRreviewer = "Alexander G. Kukush",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "16 May 2006",
}
@Article{Elden:2006:NLA,
author = "Lars Eld{\'e}n",
title = "Numerical linear algebra in data mining",
journal = j-ACTA-NUMERICA,
volume = "15",
pages = "327--384",
year = "2006",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906240017",
ISBN = "0-521-86815-7",
ISBN-13 = "978-0-521-86815-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65F30 (62-07 62H30 68T99)",
MRnumber = "2269744 (2008e:65142)",
MRreviewer = "Jishou Ruan",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "16 May 2006",
}
@Article{Higdon:2006:NMO,
author = "Robert L. Higdon",
title = "Numerical modelling of ocean circulation",
journal = j-ACTA-NUMERICA,
volume = "15",
pages = "385--470",
year = "2006",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906250013",
ISBN = "0-521-86815-7",
ISBN-13 = "978-0-521-86815-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "86-08 (65M06 86A05)",
MRnumber = "2269745 (2007h:86001)",
MRreviewer = "Yuri N. Skiba",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "16 May 2006",
}
@Article{Meurant:2006:LCG,
author = "G{\'e}rard Meurant and Zden{\v{e}}k Strako{\v{s}}",
title = "The {Lanczos} and conjugate gradient algorithms in
finite precision arithmetic",
journal = j-ACTA-NUMERICA,
volume = "15",
pages = "471--542",
year = "2006",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290626001X",
ISBN = "0-521-86815-7",
ISBN-13 = "978-0-521-86815-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65F15 (65F10 65G50)",
MRnumber = "2269746 (2007m:65031)",
MRreviewer = "A. Bultheel",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
abstract = "The Lanczos and conjugate gradient algorithms were
introduced more than five decades ago as tools for
numerical computation of dominant eigenvalues of
symmetric matrices and for solving linear algebraic
systems with symmetric positive definite matrices,
respectively. Because of their fundamental relationship
with the theory of orthogonal polynomials and Gauss
quadrature of the Riemann--Stieltjes integral, the
Lanczos and conjugate gradient algorithms represent
very interesting general mathematical objects, with
highly nonlinear properties which can be conveniently
translated from algebraic language into the language of
mathematical analysis, and vice versa. The algorithms
are also very interesting numerically, since their
numerical behaviour can be explained by an elegant
mathematical theory, and the interplay between analysis
and algebra is useful there too.\par
Motivated by this view, the present contribution wishes
to pay a tribute to those who have made an
understanding of the Lanczos and conjugate gradient
algorithms possible through their pioneering work, and
to review recent solutions of several open problems
that have also contributed to knowledge of the
subject.",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "16 May 2006",
}
@Article{Schaback:2006:KTM,
author = "Robert Schaback and Holger Wendland",
title = "Kernel techniques: from machine learning to meshless
methods",
journal = j-ACTA-NUMERICA,
volume = "15",
pages = "543--639",
year = "2006",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906270016",
ISBN = "0-521-86815-7",
ISBN-13 = "978-0-521-86815-0",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65J05 (68T05)",
MRnumber = "2269747 (2008f:65103)",
MRreviewer = "Michael Hanke",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "16 May 2006",
}
@Article{Bond:2007:MDA,
author = "Stephen D. Bond and Benedict J. Leimkuhler",
title = "Molecular dynamics and the accuracy of numerically
computed averages",
journal = j-ACTA-NUMERICA,
volume = "16",
pages = "1--65",
year = "2007",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906280012",
ISBN = "0-521-87743-1",
ISBN-13 = "978-0-521-87743-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "81V55 (37M15 65P10 70-08 70H05 81-04 82B80 92C40)",
MRnumber = "2417927 (2009d:81426)",
MRreviewer = "Carsten Hartmann",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "24 April 2007",
}
@Article{Cullen:2007:MAF,
author = "Mike Cullen",
title = "Modelling atmospheric flows",
journal = j-ACTA-NUMERICA,
volume = "16",
pages = "67--154",
year = "2007",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906290019",
ISBN = "0-521-87743-1",
ISBN-13 = "978-0-521-87743-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "86A10 (65Mxx 76D05 76M20 76N15)",
MRnumber = "2417928 (2009d:86014)",
MRreviewer = "Andrei Bourchtein",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "24 April 2007",
}
@Article{Morton:2007:FVM,
author = "K. W. Morton and T. Sonar",
title = "Finite volume methods for hyperbolic conservation
laws",
journal = j-ACTA-NUMERICA,
volume = "16",
pages = "155--238",
year = "2007",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906300013",
ISBN = "0-521-87743-1",
ISBN-13 = "978-0-521-87743-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "76M12 (65M06)",
MRnumber = "2417929 (2009f:76107)",
MRreviewer = "Jean-Fran{\c{c}}ois Coulombel",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "24 April 2007",
}
@Article{Shapiro:2007:SAG,
author = "Vadim Shapiro",
title = "Semi-analytic geometry with {$R$}-functions",
journal = j-ACTA-NUMERICA,
volume = "16",
pages = "239--303",
year = "2007",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249290631001X",
ISBN = "0-521-87743-1",
ISBN-13 = "978-0-521-87743-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "68U05 (51N10 65D18)",
MRnumber = "2417930 (2009g:68233)",
MRreviewer = "Gudrun Albrecht",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "24 April 2007",
}
@Article{Tadmor:2007:FMC,
author = "Eitan Tadmor",
title = "Filters, mollifiers and the computation of the {Gibbs}
phenomenon",
journal = j-ACTA-NUMERICA,
volume = "16",
pages = "305--378",
year = "2007",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906320016",
ISBN = "0-521-87743-1",
ISBN-13 = "978-0-521-87743-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65D10 (42A99)",
MRnumber = "2417931 (2009c:65033)",
MRreviewer = "H. P. Dikshit",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "24 April 2007",
}
@Article{Temme:2007:NAS,
author = "Nico M. Temme",
title = "Numerical aspects of special functions",
journal = j-ACTA-NUMERICA,
volume = "16",
pages = "379--478",
year = "2007",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906330012",
ISBN = "0-521-87743-1",
ISBN-13 = "978-0-521-87743-5",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "33F05 (65D20)",
MRnumber = "2417932 (2009g:33027)",
MRreviewer = "Amparo Gil",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
abstract = "This paper describes methods that are important for
the numerical evaluation of certain functions that
frequently occur in applied mathematics, physics and
mathematical statistics. This includes what we consider
to be the basic methods, such as recurrence relations,
series expansions (both convergent and asymptotic), and
numerical quadrature. Several other methods are
available and some of these will be discussed in less
detail. Examples will be given on the use of special
functions in certain problems from mathematical physics
and mathematical statistics (integrals and series with
special functions).",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "24 April 2007",
}
@Article{Chu:2008:LAA,
author = "Moody T. Chu",
title = "Linear algebra algorithms as dynamical systems",
journal = j-ACTA-NUMERICA,
volume = "17",
pages = "1--86",
year = "2008",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906340019",
ISBN = "0-521-51642-0",
ISBN-13 = "978-0-521-51642-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2008 vol. 17",
MRclass = "65F15 (37N30 65F10 93A10 93C55)",
MRnumber = "2436009 (2009d:65055)",
MRreviewer = "David Scott Watkins",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "25 April 2008",
}
@Article{Demmel:2008:AEE,
author = "James Demmel and Ioana Dumitriu and Olga Holtz and
Plamen Koev",
title = "Accurate and efficient expression evaluation and
linear algebra",
journal = j-ACTA-NUMERICA,
volume = "17",
pages = "87--145",
year = "2008",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906350015",
ISBN = "0-521-51642-0",
ISBN-13 = "978-0-521-51642-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2008 vol. 17",
MRclass = "65F30 (65G50 68W25)",
MRnumber = "2436010 (2009h:65070)",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "25 April 2008",
}
@Article{Engquist:2008:ANH,
author = "B. Engquist and P. E. Souganidis",
title = "Asymptotic and numerical homogenization",
journal = j-ACTA-NUMERICA,
volume = "17",
pages = "147--190",
year = "2008",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906360011",
ISBN = "0-521-51642-0",
ISBN-13 = "978-0-521-51642-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2008 vol. 17",
MRclass = "35B27 (35-02 35R60 60H10 60H15 65N99)",
MRnumber = "2436011 (2009i:35027)",
MRreviewer = "Grigorios A. Pavliotis",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "25 April 2008",
}
@Article{Nemirovski:2008:IPM,
author = "Arkadi S. Nemirovski and Michael J. Todd",
title = "Interior-point methods for optimization",
journal = j-ACTA-NUMERICA,
volume = "17",
pages = "191--234",
year = "2008",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906370018",
ISBN = "0-521-51642-0",
ISBN-13 = "978-0-521-51642-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2008 vol. 17",
MRclass = "90C51 (90C30)",
MRnumber = "2436012 (2009j:90141)",
MRreviewer = "Warren L. Hare",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "25 April 2008",
}
@Article{Temlyakov:2008:GA,
author = "V. N. Temlyakov",
title = "Greedy approximation",
journal = j-ACTA-NUMERICA,
volume = "17",
pages = "235--409",
year = "2008",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906380014",
ISBN = "0-521-51642-0",
ISBN-13 = "978-0-521-51642-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2008 vol. 17",
MRclass = "41A65 (42C30 46B20 65K10 68W25)",
MRnumber = "2436013 (2009g:41066)",
MRreviewer = "Vitaly E. Ma{\u\i}orov",
bibdate = "Sat Sep 24 11:37:18 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "25 April 2008",
}
@Article{Bellen:2009:RTN,
author = "Alfredo Bellen and Stefano Maset and Marino Zennaro
and Nicola Guglielmi",
title = "Recent trends in the numerical solution of retarded
functional differential equations",
journal = j-ACTA-NUMERICA,
volume = "18",
pages = "1--110",
year = "2009",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906390010",
ISBN = "0-521-51642-0",
ISBN-13 = "978-0-521-51642-6",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA297 .A327 2008 vol. 17",
MRclass = "65L03 (34K28 34K40)",
MRnumber = "2506040 (2010d:65138)",
MRreviewer = "Zbigniew Bartoszewski",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "08 May 2009",
}
@Article{Budd:2009:AMG,
author = "Chris J. Budd and Weizhang Huang and Robert D.
Russell",
title = "Adaptivity with moving grids",
journal = j-ACTA-NUMERICA,
volume = "18",
pages = "111--241",
year = "2009",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906400015",
ISBN = "0-521-19211-0",
ISBN-13 = "978-0-521-19211-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA276 2009",
MRclass = "65M50",
MRnumber = "2506041 (2010c:65165)",
MRreviewer = "Tsu-Fen Chen",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "08 May 2009",
}
@Article{Greengard:2009:FDS,
author = "Leslie Greengard and Denis Gueyffier and Per-Gunnar
Martinsson and Vladimir Rokhlin",
title = "Fast direct solvers for integral equations in complex
three-dimensional domains",
journal = j-ACTA-NUMERICA,
volume = "18",
pages = "243--275",
year = "2009",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906410011",
ISBN = "0-521-19211-0",
ISBN-13 = "978-0-521-19211-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA276 2009",
MRclass = "65R20",
MRnumber = "2506042 (2010e:65252)",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "08 May 2009",
}
@Article{Hou:2009:BNB,
author = "Thomas Y. Hou",
title = "Blow-up or no blow-up? {A} unified computational and
analytic approach to {$3$D} incompressible {Euler} and
{Navier--Stokes} equations",
journal = j-ACTA-NUMERICA,
volume = "18",
pages = "277--346",
year = "2009",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492906420018",
ISBN = "0-521-19211-0",
ISBN-13 = "978-0-521-19211-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA276 2009",
MRclass = "35Q30 (35B40 35Q35 65M12 76D05)",
MRnumber = "2506043 (2010g:35224)",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "08 May 2009",
}
@Article{Anonymous:2009:AVIa,
author = "Anonymous",
title = "{ANU} volume 18 issue 1 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "18",
pages = "f1--f6",
year = "2009",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492909999998",
ISBN = "0-521-19211-0",
ISBN-13 = "978-0-521-19211-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA276 2009",
bibdate = "Sat Sep 24 10:23:42 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "08 May 2009",
}
@Article{Anonymous:2009:AVIb,
author = "Anonymous",
title = "{ANU} volume 18 issue 1 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "18",
pages = "b1--b1",
year = "2009",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492909999986",
ISBN = "0-521-19211-0",
ISBN-13 = "978-0-521-19211-8",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
LCCN = "QA276 2009",
bibdate = "Sat Sep 24 10:23:42 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "08 May 2009",
}
@Article{Boffi:2010:FEA,
author = "Daniele Boffi",
title = "Finite element approximation of eigenvalue problems",
journal = j-ACTA-NUMERICA,
volume = "19",
pages = "1--120",
year = "2010",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492910000012",
ISBN = "0-521-19284-6",
ISBN-13 = "978-0-521-19284-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65N30 (65N25)",
MRnumber = "2652780 (2011e:65256)",
MRreviewer = "Srinivasan Kesavan",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "10 May 2010",
}
@Article{Fletcher:2010:BST,
author = "Roger Fletcher and Gaetano Zanghirati",
title = "Binary separation and training support vector
machines",
journal = j-ACTA-NUMERICA,
volume = "19",
pages = "121--158",
year = "2010",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492910000024",
ISBN = "0-521-19284-6",
ISBN-13 = "978-0-521-19284-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "68T05 (65K99)",
MRnumber = "2652781 (2011f:68149)",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "10 May 2010",
}
@Article{Higham:2010:CMF,
author = "Nicholas J. Higham and Awad H. Al-Mohy",
title = "Computing matrix functions",
journal = j-ACTA-NUMERICA,
volume = "19",
pages = "159--208",
year = "2010",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492910000036",
ISBN = "0-521-19284-6",
ISBN-13 = "978-0-521-19284-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65F60 (15A16)",
MRnumber = "2652782 (2011g:65073)",
MRreviewer = "Olexander S. Babanin",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "10 May 2010",
}
@Article{Hochbruck:2010:EI,
author = "Marlis Hochbruck and Alexander Ostermann",
title = "Exponential integrators",
journal = j-ACTA-NUMERICA,
volume = "19",
pages = "209--286",
year = "2010",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492910000048",
ISBN = "0-521-19284-6",
ISBN-13 = "978-0-521-19284-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65P10 (35K20 35K90 35K91 65Mxx)",
MRnumber = "2652783 (2011g:65293)",
MRreviewer = "Antonella Zanna",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "10 May 2010",
}
@Article{Rump:2010:VMR,
author = "Siegfried M. Rump",
title = "Verification methods: Rigorous results using
floating-point arithmetic",
journal = j-ACTA-NUMERICA,
volume = "19",
pages = "287--449",
year = "2010",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249291000005X",
ISBN = "0-521-19284-6",
ISBN-13 = "978-0-521-19284-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65G20 (03B35 68T05)",
MRnumber = "2652784 (2011j:65093)",
MRreviewer = "Ljiljana Petkovi{\'c}",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
URL = "http://www.ti3.tu-harburg.de/paper/rump/Ru10.pdf",
abstract = "This review article is devoted to verification methods
and consists of three parts of similar length. In Part
1 the working tools of verification methods are
discussed, in particular floating-point and interval
arithmetic; my findings in Section 1.5 (Historical
remarks) seem new, even to experts in the field.\par
In Part 2, the development and limits of verification
methods for finite-dimensional problems are discussed
in some detail. In particular, we discuss how
verification is {\em not\/} working. For example, we
give a probabilistic argument that the so-called
interval Gaussian elimination (IGA) does not work even
for (well-conditioned) random matrices of small size.
Verification methods are discussed for problems such as
dense systems of linear equations, sparse linear
systems, systems of nonlinear equations, semi-definite
programming and other special linear and nonlinear
problems, including M-matrices, finding simple and
multiple roots of polynomials, bounds for simple and
multiple eigenvalues or clusters, and quadrature. The
necessary automatic differentiation tools to compute
the range of gradients, Hessians, Taylor coefficients,
and slopes are also introduced.\par
Concerning the important area of optimization, Neumaier
(2004) gave in his Acta Numerica article an overview on
global optimization and constraint satisfaction
methods. In view of the thorough treatment there,
showing the essential role of interval methods in this
area, we restrict our discussion to a few recent,
complementary issues.\par
Finally, in Part 3, verification methods for
infinite-dimensional problems are presented, namely
two-point boundary value problems and semilinear
elliptic boundary value problems.\par
Throughout the article, many examples of the
inappropriate use of interval operations are given. In
the past such examples contributed to the dubious
reputation of interval arithmetic (see Section 1.3),
whereas they are, in fact, simply a misuse.\par
One main goal of this review article is to introduce
the principles of the design of verification
algorithms, and how these principles differ from those
for traditional numerical algorithms (see Section
1.4).\par
Many algorithms are presented in executable
MATLAB/INTLAB code, providing the opportunity to test
the methods directly. INTLAB, the MATLAB toolbox for
reliable computing, was, for example, used by
Bornemann, Laurie, Wagon and Waldvogel (2004) in the
solution of half of the problems of the SIAM $10\times
10$-digit challenge by Trefethen (2002).",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "10 May 2010",
}
@Article{Stuart:2010:IPB,
author = "A. M. Stuart",
title = "Inverse problems: a {Bayesian} perspective",
journal = j-ACTA-NUMERICA,
volume = "19",
pages = "451--559",
year = "2010",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492910000061",
ISBN = "0-521-19284-6",
ISBN-13 = "978-0-521-19284-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65J22 (35R25 35R30 62C10 65J20)",
MRnumber = "2652785 (2011i:65093)",
MRreviewer = "Ruben D. Spies",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "10 May 2010",
}
@Article{Wanner:2010:KNN,
author = "G. Wanner",
title = "{Kepler}, {Newton} and numerical analysis",
journal = j-ACTA-NUMERICA,
volume = "19",
pages = "561--598",
year = "2010",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492910000073",
ISBN = "0-521-19284-6",
ISBN-13 = "978-0-521-19284-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
MRclass = "65-03 (01A45)",
MRnumber = "2652786 (2011d:65002)",
MRreviewer = "R{\'e}mi Vaillancourt",
bibdate = "Sat Sep 24 10:35:17 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "10 May 2010",
}
@Article{Anonymous:2010:AVCa,
author = "Anonymous",
title = "{ANU} volume 19 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "19",
pages = "f1--f6",
year = "2010",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492910999984",
ISBN = "0-521-19284-6",
ISBN-13 = "978-0-521-19284-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:43 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "10 May 2010",
}
@Article{Anonymous:2010:AVCb,
author = "Anonymous",
title = "{ANU} volume 19 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "19",
pages = "b1--b1",
year = "2010",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492910999996",
ISBN = "0-521-19284-6",
ISBN-13 = "978-0-521-19284-2",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:43 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "10 May 2010",
}
@Article{Christiansen:2011:TSP,
author = "Snorre H. Christiansen and Hans Z. Munthe-Kaas and
Brynjulf Owren",
title = "Topics in structure-preserving discretization",
journal = j-ACTA-NUMERICA,
volume = "20",
pages = "1--119",
year = "2011",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249291100002X",
ISBN = "1-107-01086-1",
ISBN-13 = "978-1-107-010864",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:44 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "28 April 2011",
}
@Article{Jin:2011:MCM,
author = "Shi Jin and Peter Markowich and Christof Sparber",
title = "Mathematical and computational methods for
semiclassical {Schr{\"o}dinger} equations",
journal = j-ACTA-NUMERICA,
volume = "20",
pages = "121--209",
year = "2011",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492911000031",
ISBN = "1-107-01086-1",
ISBN-13 = "978-1-107-010864",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:44 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "28 April 2011",
}
@Article{LeVeque:2011:TMA,
author = "Randall J. LeVeque and David L. George and Marsha J.
Berger",
title = "Tsunami modelling with adaptively refined finite
volume methods",
journal = j-ACTA-NUMERICA,
volume = "20",
pages = "211--289",
year = "2011",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492911000043",
ISBN = "1-107-01086-1",
ISBN-13 = "978-1-107-010864",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:44 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "28 April 2011",
}
@Article{Schwab:2011:STD,
author = "Christoph Schwab and Claude Jeffrey Gittelson",
title = "Sparse tensor discretizations of high-dimensional
parametric and stochastic {PDEs}",
journal = j-ACTA-NUMERICA,
volume = "20",
pages = "291--467",
year = "2011",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492911000055",
ISBN = "1-107-01086-1",
ISBN-13 = "978-1-107-010864",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:44 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "28 April 2011",
}
@Article{Wampler:2011:NAG,
author = "Charles W. Wampler and Andrew J. Sommese",
title = "Numerical algebraic geometry and algebraic
kinematics",
journal = j-ACTA-NUMERICA,
volume = "20",
pages = "469--567",
year = "2011",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492911000067",
ISBN = "1-107-01086-1",
ISBN-13 = "978-1-107-010864",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:44 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "28 April 2011",
}
@Article{Wohlmuth:2011:VCD,
author = "Barbara Wohlmuth",
title = "Variationally consistent discretization schemes and
numerical algorithms for contact problems",
journal = j-ACTA-NUMERICA,
volume = "20",
pages = "569--734",
year = "2011",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492911000079",
ISBN = "1-107-01086-1",
ISBN-13 = "978-1-107-010864",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:44 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "28 April 2011",
}
@Article{Anonymous:2011:AVCa,
author = "Anonymous",
title = "{ANU} volume 20 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "20",
pages = "f1--f6",
year = "2011",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492911999991",
ISBN = "1-107-01086-1",
ISBN-13 = "978-1-107-010864",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:44 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "28 April 2011",
}
@Article{Anonymous:2011:AVCb,
author = "Anonymous",
title = "{ANU} volume 20 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "20",
pages = "b1--b1",
year = "2011",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249291199998X",
ISBN = "1-107-01086-1",
ISBN-13 = "978-1-107-010864",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:44 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "28 April 2011",
}
@Article{Abdulle:2012:HMM,
author = "Assyr Abdulle and E. Weinan and Bj{\"o}rn Engquist and
Eric Vanden-Eijnden",
title = "The heterogeneous multiscale method",
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volume = "21",
pages = "1--87",
year = "2012",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492912000025",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Nov 5 18:59:17 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{Chandler-Wilde:2012:NAB,
author = "Simon N. Chandler-Wilde and Ivan G. Graham and Stephen
Langdon and Euan A. Spence",
title = "Numerical-asymptotic boundary integral methods in
high-frequency acoustic scattering",
journal = j-ACTA-NUMERICA,
volume = "21",
pages = "89--305",
year = "2012",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492912000037",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Nov 5 18:59:17 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Deuflhard:2012:MCT,
author = "Peter Deuflhard and Anton Schiela and Martin Weiser",
title = "Mathematical cancer therapy planning in deep regional
hyperthermia",
journal = j-ACTA-NUMERICA,
volume = "21",
pages = "307--378",
year = "2012",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492912000049",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Nov 5 18:59:17 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{Dongarra:2012:HPC,
author = "J. J. Dongarra and A. J. van der Steen",
title = "High-performance computing systems: Status and
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volume = "21",
pages = "379--474",
year = "2012",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492912000050",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Nov 5 18:59:17 MST 2012",
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http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
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@Article{Lebrun:2012:SID,
author = "M. Lebrun and M. Colom and A. Buades and J. M.
Morel",
title = "Secrets of image denoising cuisine",
journal = j-ACTA-NUMERICA,
volume = "21",
pages = "475--576",
year = "2012",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492912000062",
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ISSN-L = "0962-4929",
bibdate = "Mon Nov 5 18:59:17 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{Pironneau:2012:PFD,
author = "Olivier Pironneau",
title = "Pricing futures by deterministic methods",
journal = j-ACTA-NUMERICA,
volume = "21",
pages = "577--671",
year = "2012",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492912000074",
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bibdate = "Mon Nov 5 18:59:17 MST 2012",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{Anonymous:2012:AVCa,
author = "Anonymous",
title = "{ANU} volume 21 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "21",
pages = "f1--f6",
year = "2012",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492911999978",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Nov 5 18:59:17 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{Anonymous:2012:AVCb,
author = "Anonymous",
title = "{ANU} volume 21 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "21",
pages = "b1--b1",
year = "2012",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492911999966",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Nov 5 18:59:17 MST 2012",
bibsource = "http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Belotti:2013:MIN,
author = "Pietro Belotti and Christian Kirches and Sven Leyffer
and Jeff Linderoth and James Luedtke and Ashutosh
Mahajan",
title = "Mixed-integer nonlinear optimization",
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volume = "22",
pages = "1--131",
year = "2013",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492913000032",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Dec 3 10:02:43 MST 2013",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{Dick:2013:HDI,
author = "Josef Dick and Frances Y. Kuo and Ian H. Sloan",
title = "High-dimensional integration: The quasi-{Monte Carlo}
way",
journal = j-ACTA-NUMERICA,
volume = "22",
pages = "133--288",
year = "2013",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492913000044",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Dec 3 10:02:43 MST 2013",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{Dziuk:2013:FEM,
author = "Gerhard Dziuk and Charles M. Elliott",
title = "Finite element methods for surface {PDEs}",
journal = j-ACTA-NUMERICA,
volume = "22",
pages = "289--396",
year = "2013",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492913000056",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Dec 3 10:02:43 MST 2013",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Luskin:2013:ACC,
author = "Mitchell Luskin and Christoph Ortner",
title = "Atomistic-to-continuum coupling",
journal = j-ACTA-NUMERICA,
volume = "22",
pages = "397--508",
year = "2013",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492913000068",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Dec 3 10:02:43 MST 2013",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Nesterov:2013:NNM,
author = "Yurii Nesterov and Arkadi Nemirovski",
title = "On first-order algorithms for $ l_1 $ \slash nuclear
norm minimization",
journal = j-ACTA-NUMERICA,
volume = "22",
pages = "509--575",
year = "2013",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249291300007X",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Dec 3 10:02:43 MST 2013",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Anonymous:2013:AVCa,
author = "Anonymous",
title = "{ANU} volume 22 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "22",
pages = "f1--f6",
year = "2013",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492913999955",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Tue Dec 3 10:02:43 MST 2013",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
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@Article{Anonymous:2013:AVCb,
author = "Anonymous",
title = "{ANU} volume 22 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "22",
pages = "b1--b1",
year = "2013",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492913999943",
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bibdate = "Tue Dec 3 10:02:43 MST 2013",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Ballard:2014:CLB,
author = "G. Ballard and E. Carson and J. Demmel and M. Hoemmen
and N. Knight and O. Schwartz",
title = "Communication lower bounds and optimal algorithms for
numerical linear algebra",
journal = j-ACTA-NUMERICA,
volume = "23",
pages = "1--155",
year = "2014",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492914000038",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon May 12 19:01:04 MDT 2014",
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http://www.math.utah.edu/pub/tex/bib/actanumerica.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{daVeiga:2014:MAV,
author = "L. Beir{\~a}o da Veiga and A. Buffa and G. Sangalli
and R. V{\'a}zquez",
title = "Mathematical analysis of variational isogeometric
methods",
journal = j-ACTA-NUMERICA,
volume = "23",
pages = "157--287",
year = "2014",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249291400004X",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon May 12 19:01:04 MDT 2014",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=23&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Carlsson:2014:TPR,
author = "Gunnar Carlsson",
title = "Topological pattern recognition for point cloud data",
journal = j-ACTA-NUMERICA,
volume = "23",
pages = "289--368",
year = "2014",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492914000051",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon May 12 19:01:04 MDT 2014",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=23&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{Dimarco:2014:NMK,
author = "G. Dimarco and L. Pareschi",
title = "Numerical methods for kinetic equations",
journal = j-ACTA-NUMERICA,
volume = "23",
pages = "369--520",
year = "2014",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492914000063",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon May 12 19:01:04 MDT 2014",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=23&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Gunzburger:2014:SFE,
author = "Max D. Gunzburger and Clayton G. Webster and Guannan
Zhang",
title = "Stochastic finite element methods for partial
differential equations with random input data",
journal = j-ACTA-NUMERICA,
volume = "23",
pages = "521--650",
year = "2014",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492914000075",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon May 12 19:01:04 MDT 2014",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=23&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Hackbusch:2014:NTC,
author = "Wolfgang Hackbusch",
title = "Numerical tensor calculus",
journal = j-ACTA-NUMERICA,
volume = "23",
pages = "651--742",
year = "2014",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492914000087",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon May 12 19:01:04 MDT 2014",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=23&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{LeFloch:2014:NMC,
author = "Philippe G. LeFloch and Siddhartha Mishra",
title = "Numerical methods with controlled dissipation for
small-scale dependent shocks",
journal = j-ACTA-NUMERICA,
volume = "23",
pages = "743--816",
year = "2014",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492914000099",
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bibdate = "Mon May 12 19:01:04 MDT 2014",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=23&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Anonymous:2014:AVCa,
author = "Anonymous",
title = "{ANU} volume 23 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "23",
pages = "f1--f6",
year = "2014",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492914999998",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Mon May 12 19:01:04 MDT 2014",
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ajournal = "Acta Numer.",
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@Article{Anonymous:2014:AVCb,
author = "Anonymous",
title = "{ANU} volume 23 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "23",
pages = "b1--b1",
year = "2014",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492914999986",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Mon May 12 19:01:04 MDT 2014",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=23&issueId=00;
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{Cohen:2015:AHD,
author = "Albert Cohen and Ronald DeVore",
title = "Approximation of high-dimensional parametric {PDEs}",
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volume = "24",
pages = "1--159",
year = "2015",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492915000033",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Floater:2015:GBC,
author = "Michael S. Floater",
title = "Generalized barycentric coordinates and applications",
journal = j-ACTA-NUMERICA,
volume = "24",
pages = "161--214",
year = "2015",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492914000129",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Apr 28 06:04:11 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Fornberg:2015:SPR,
author = "Bengt Fornberg and Natasha Flyer",
title = "Solving {PDEs} with radial basis functions",
journal = j-ACTA-NUMERICA,
volume = "24",
pages = "215--258",
year = "2015",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492914000130",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Apr 28 06:04:11 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Giles:2015:MMC,
author = "Michael B. Giles",
title = "Multilevel {Monte Carlo} methods",
journal = j-ACTA-NUMERICA,
volume = "24",
pages = "259--328",
year = "2015",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249291500001X",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Apr 28 06:04:11 MDT 2015",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
}
@Article{Wathen:2015:P,
author = "A. J. Wathen",
title = "Preconditioning",
journal = j-ACTA-NUMERICA,
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author = "Anonymous",
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@Article{Abdelfattah:2016:LAS,
author = "A. Abdelfattah and H. Anzt and J. Dongarra and M.
Gates and A. Haidar and J. Kurzak and P. Luszczek and
S. Tomov and I. Yamazaki and A. YarKhan",
title = "Linear algebra software for large-scale accelerated
multicore computing",
journal = j-ACTA-NUMERICA,
volume = "25",
pages = "1--160",
year = "2016",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492916000015",
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@Article{Chambolle:2016:ICO,
author = "Antonin Chambolle and Thomas Pock",
title = "An introduction to continuous optimization for
imaging",
journal = j-ACTA-NUMERICA,
volume = "25",
pages = "161--319",
year = "2016",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249291600009X",
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acknowledgement = ack-nhfb,
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@Article{Cucker:2016:PAC,
author = "Felipe Cucker",
title = "Probabilistic analyses of condition numbers",
journal = j-ACTA-NUMERICA,
volume = "25",
pages = "321--382",
year = "2016",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492916000027",
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acknowledgement = ack-nhfb,
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@Article{Davis:2016:SDM,
author = "Timothy A. Davis and Sivasankaran Rajamanickam and
Wissam M. Sid-Lakhdar",
title = "A survey of direct methods for sparse linear systems",
journal = j-ACTA-NUMERICA,
volume = "25",
pages = "383--566",
year = "2016",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492916000076",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Tue May 24 12:29:05 MDT 2016",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
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@Article{Fjordholm:2016:CMV,
author = "Ulrik S. Fjordholm and Siddhartha Mishra and Eitan
Tadmor",
title = "On the computation of measure-valued solutions",
journal = j-ACTA-NUMERICA,
volume = "25",
pages = "567--679",
year = "2016",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492916000088",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Tue May 24 12:29:05 MDT 2016",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
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@Article{Lelievre:2016:PDE,
author = "Tony Leli{\`e}vre and Gabriel Stoltz",
title = "Partial differential equations and stochastic methods
in molecular dynamics",
journal = j-ACTA-NUMERICA,
volume = "25",
pages = "681--880",
year = "2016",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492916000039",
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author = "Anonymous",
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author = "Anonymous",
title = "{ANU} volume 25 Cover and Back matter",
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@Article{Guttel:2017:NEP,
author = "Stefan G{\"u}ttel and Fran{\c{c}}oise Tisseur",
title = "The nonlinear eigenvalue problem",
journal = j-ACTA-NUMERICA,
volume = "26",
pages = "1--94",
year = "2017",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492917000034",
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@Article{Kannan:2017:RAN,
author = "Ravindran Kannan and Santosh Vempala",
title = "Randomized algorithms in numerical linear algebra",
journal = j-ACTA-NUMERICA,
volume = "26",
pages = "95--135",
year = "2017",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492917000058",
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onlinedate = "05 May 2017",
}
@Article{Neilan:2017:NAS,
author = "Michael Neilan and Abner J. Salgado and Wujun Zhang",
title = "Numerical analysis of strongly nonlinear {PDEs}",
journal = j-ACTA-NUMERICA,
volume = "26",
pages = "137--303",
year = "2017",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492917000071",
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onlinedate = "05 May 2017",
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@Article{Ozyesil:2017:SSM,
author = "Onur {\"O}zyesil and Vladislav Voroninski and Ronen
Basri and Amit Singer",
title = "A survey of structure from motion",
journal = j-ACTA-NUMERICA,
volume = "26",
pages = "305--364",
year = "2017",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249291700006X",
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acknowledgement = ack-nhfb,
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journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "05 May 2017",
}
@Article{Quarteroni:2017:CSM,
author = "A. Quarteroni and A. Manzoni and C. Vergara",
title = "The cardiovascular system: Mathematical modelling,
numerical algorithms and clinical applications",
journal = j-ACTA-NUMERICA,
volume = "26",
pages = "365--590",
year = "2017",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492917000046",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "05 May 2017",
}
@Article{Xu:2017:AMM,
author = "Jinchao Xu and Ludmil Zikatanov",
title = "Algebraic multigrid methods",
journal = j-ACTA-NUMERICA,
volume = "26",
pages = "591--721",
year = "2017",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492917000083",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Wed Jun 7 18:08:54 MDT 2017",
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acknowledgement = ack-nhfb,
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fjournal = "Acta Numerica",
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onlinedate = "05 May 2017",
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@Article{Anonymous:2017:AVCa,
author = "Anonymous",
title = "{ANU} volume 26 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "26",
pages = "f1--f8",
year = "2017",
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DOI = "https://doi.org/10.1017/S0962492917000010",
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@Article{Anonymous:2017:AVCb,
author = "Anonymous",
title = "{ANU} volume 26 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "26",
pages = "b1--b2",
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@Article{Benning:2018:MRM,
author = "Martin Benning and Martin Burger",
title = "Modern regularization methods for inverse problems",
journal = j-ACTA-NUMERICA,
volume = "27",
pages = "1--111",
year = "2018",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492918000016",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Jun 4 06:03:45 MDT 2018",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
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journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 May 2018",
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@Article{Bou-Rabee:2018:GIH,
author = "Nawaf Bou-Rabee and J. M. Sanz-Serna",
title = "Geometric integrators and the {Hamiltonian} {Monte
Carlo} method",
journal = j-ACTA-NUMERICA,
volume = "27",
pages = "113--206",
year = "2018",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492917000101",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Jun 4 06:03:45 MDT 2018",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 May 2018",
}
@Article{Kelley:2018:NMN,
author = "C. T. Kelley",
title = "Numerical methods for nonlinear equations",
journal = j-ACTA-NUMERICA,
volume = "27",
pages = "207--287",
year = "2018",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492917000113",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Jun 4 06:03:45 MDT 2018",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
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journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 May 2018",
}
@Article{Kurganov:2018:FVS,
author = "Alexander Kurganov",
title = "Finite-volume schemes for shallow-water equations",
journal = j-ACTA-NUMERICA,
volume = "27",
pages = "289--351",
year = "2018",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492918000028",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Jun 4 06:03:45 MDT 2018",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 May 2018",
}
@Article{Oden:2018:AMP,
author = "J. Tinsley Oden",
title = "Adaptive multiscale predictive modelling",
journal = j-ACTA-NUMERICA,
volume = "27",
pages = "353--450",
year = "2018",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249291800003X",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Mon Jun 4 06:03:45 MDT 2018",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 May 2018",
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@Article{Anonymous:2018:AVCa,
author = "Anonymous",
title = "{ANU} volume 27 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "27",
pages = "f1--f7",
year = "2018",
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DOI = "https://doi.org/10.1017/S0962492918000041",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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acknowledgement = ack-nhfb,
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@Article{Anonymous:2018:AVCb,
author = "Anonymous",
title = "{ANU} volume 27 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "27",
pages = "b1--b2",
year = "2018",
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@Article{Arridge:2019:SIP,
author = "Simon Arridge and Peter Maass and Ozan {\"O}ktem and
Carola-Bibiane Sch{\"o}nlieb",
title = "Solving inverse problems using data-driven models",
journal = j-ACTA-NUMERICA,
volume = "28",
pages = "1--174",
day = "01",
month = may,
year = "2019",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492919000059",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Tue Jun 18 10:43:41 MDT 2019",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/solving-inverse-problems-using-datadriven-models/CE5B3725869AEAF46E04874115B0AB15",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "14 June 2019",
}
@Article{Han:2019:NAH,
author = "Weimin Han and Mircea Sofonea",
title = "Numerical analysis of hemivariational inequalities in
contact mechanics",
journal = j-ACTA-NUMERICA,
volume = "28",
pages = "175--286",
day = "01",
month = may,
year = "2019",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492919000023",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Jun 18 10:43:41 MDT 2019",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/numerical-analysis-of-hemivariational-inequalities-in-contact-mechanics/FEE4F4CDD4F764901A99CCF6AF3A4D84",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "14 June 2019",
}
@Article{Larson:2019:DFO,
author = "Jeffrey Larson and Matt Menickelly and Stefan M.
Wild",
title = "Derivative-free optimization methods",
journal = j-ACTA-NUMERICA,
volume = "28",
pages = "287--404",
day = "01",
month = may,
year = "2019",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492919000060",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Jun 18 10:43:41 MDT 2019",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/derivativefree-optimization-methods/84479E2B03A9BFFE0F9CD46CF9FCD289",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "14 June 2019",
}
@Article{Lin:2019:NMK,
author = "Lin Lin and Jianfeng Lu and Lexing Ying",
title = "Numerical methods for {Kohn--Sham} density functional
theory",
journal = j-ACTA-NUMERICA,
volume = "28",
pages = "405--539",
day = "01",
month = may,
year = "2019",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492919000047",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Tue Jun 18 10:43:41 MDT 2019",
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/numerical-methods-for-kohnsham-density-functional-theory/755DFB88349DD5F1EE1E360AD61661BF",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "14 June 2019",
}
@Article{Pothen:2019:AAC,
author = "Alex Pothen and S. M. Ferdous and Fredrik Manne",
title = "Approximation algorithms in combinatorial scientific
computing",
journal = j-ACTA-NUMERICA,
volume = "28",
pages = "541--633",
day = "01",
month = may,
year = "2019",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492919000035",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Jun 18 10:43:41 MDT 2019",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/approximation-algorithms-in-combinatorial-scientific-computing/8B1B0396F6DF012CFBDF52E686197DFC",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
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onlinedate = "14 June 2019",
}
@Article{Reich:2019:DAS,
author = "Sebastian Reich",
title = "Data assimilation: The {Schr{\"o}dinger} perspective",
journal = j-ACTA-NUMERICA,
volume = "28",
pages = "635--711",
day = "01",
month = may,
year = "2019",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492919000011",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Tue Jun 18 10:43:41 MDT 2019",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/data-assimilation-the-schrodinger-perspective/9C27410C665B9676110813C31CD53446",
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ajournal = "Acta Numer.",
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@Article{Anonymous:2019:AVCa,
author = "Anonymous",
title = "{ANU} volume 28 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "28",
pages = "f1--f7",
day = "01",
month = may,
year = "2019",
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DOI = "https://doi.org/10.1017/S0962492919000072",
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@Article{Anonymous:2019:AVCb,
author = "Anonymous",
title = "{ANU} volume 28 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "28",
pages = "b1--b2",
day = "01",
month = may,
year = "2019",
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@Article{DElia:2020:NMN,
author = "Marta D'Elia and Qiang Du and Christian Glusa and Max
Gunzburger and Xiaochuan Tian and Zhi Zhou",
title = "Numerical methods for nonlocal and fractional models",
journal = j-ACTA-NUMERICA,
volume = "29",
pages = "1--124",
month = may,
year = "2020",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S096249292000001X",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Fri May 7 09:25:25 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=29&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/numerical-methods-for-nonlocal-and-fractional-models/C5B2FDDA1C929337B8DAFD04CD219D85",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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@Article{Fannjiang:2020:NPR,
author = "Albert Fannjiang and Thomas Strohmer",
title = "The numerics of phase retrieval",
journal = j-ACTA-NUMERICA,
volume = "29",
pages = "125--228",
month = may,
year = "2020",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492920000069",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Fri May 7 09:25:25 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=29&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/numerics-of-phase-retrieval/7000D4BBF45E088E39268D88BE49F730",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "30 November 2020",
}
@Article{Lasser:2020:CQD,
author = "Caroline Lasser and Christian Lubich",
title = "Computing quantum dynamics in the semiclassical
regime",
journal = j-ACTA-NUMERICA,
volume = "29",
pages = "229--401",
month = may,
year = "2020",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492920000033",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Fri May 7 09:25:25 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=29&issueId=00;
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
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onlinedate = "30 November 2020",
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@Article{Martinsson:2020:RNL,
author = "Per-Gunnar Martinsson and Joel A. Tropp",
title = "Randomized numerical linear algebra: Foundations and
algorithms",
journal = j-ACTA-NUMERICA,
volume = "29",
pages = "403--572",
month = may,
year = "2020",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492920000021",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Fri May 7 09:25:25 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=29&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/randomized-numerical-linear-algebra-foundations-and-algorithms/4486926746CFF4547F42A2996C7DC09C",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "30 November 2020",
}
@Article{Olver:2020:FAU,
author = "Sheehan Olver and Richard Mika{\"e}l Slevinsky and
Alex Townsend",
title = "Fast algorithms using orthogonal polynomials",
journal = j-ACTA-NUMERICA,
volume = "29",
pages = "573--699",
month = may,
year = "2020",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492920000045",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Fri May 7 09:25:25 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=29&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/fast-algorithms-using-orthogonal-polynomials/4FAD8C7C28EC20EE7583465C1A89AA3D",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "30 November 2020",
}
@Article{Shu:2020:ENO,
author = "Chi-Wang Shu",
title = "Essentially non-oscillatory and weighted essentially
non-oscillatory schemes",
journal = j-ACTA-NUMERICA,
volume = "29",
pages = "701--762",
month = may,
year = "2020",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492920000057",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Fri May 7 09:25:25 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=29&issueId=00;
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "30 November 2020",
}
@Article{Anonymous:2020:AVCa,
author = "Anonymous",
title = "{ANU} volume 29 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "29",
pages = "f1--f6",
month = may,
year = "2020",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492920000070",
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bibdate = "Fri May 7 09:25:25 MDT 2021",
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@Article{Anonymous:2020:AVCb,
author = "Anonymous",
title = "{ANU} volume 29 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "29",
pages = "b1--b2",
month = may,
year = "2020",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492920000082",
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bibdate = "Fri May 7 09:25:25 MDT 2021",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
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@Article{Altmann:2021:NHB,
author = "Robert Altmann and Patrick Henning and Daniel
Peterseim",
title = "Numerical homogenization beyond scale separation",
journal = j-ACTA-NUMERICA,
volume = "30",
pages = "1--86",
month = may,
year = "2021",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492921000015",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Aug 10 07:36:46 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/numerical-homogenization-beyond-scale-separation/03C5F8C9AFB7E2180C05A9E8DBD8F525",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 August 2021",
}
@Article{Bartlett:2021:DLS,
author = "Peter L. Bartlett and Andrea Montanari and Alexander
Rakhlin",
title = "Deep learning: a statistical viewpoint",
journal = j-ACTA-NUMERICA,
volume = "30",
pages = "87--201",
month = may,
year = "2021",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492921000027",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Tue Aug 10 07:36:46 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/deep-learning-a-statistical-viewpoint/7BCB89D860CEDDD5726088FAD64F2A5A",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 August 2021",
}
@Article{Belkin:2021:FFR,
author = "Mikhail Belkin",
title = "Fit without fear: remarkable mathematical phenomena of
deep learning through the prism of interpolation",
journal = j-ACTA-NUMERICA,
volume = "30",
pages = "203--248",
month = may,
year = "2021",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492921000039",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Aug 10 07:36:46 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 August 2021",
}
@Article{Benamou:2021:OTM,
author = "Jean-David Benamou",
title = "Optimal transportation, modelling and numerical
simulation",
journal = j-ACTA-NUMERICA,
volume = "30",
pages = "249--325",
month = may,
year = "2021",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492921000040",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Aug 10 07:36:46 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/optimal-transportation-modelling-and-numerical-simulation/D6D857468618B8EEE6F85FE197564E69",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 August 2021",
}
@Article{DeVore:2021:NNA,
author = "Ronald DeVore and Boris Hanin and Guergana Petrova",
title = "Neural network approximation",
journal = j-ACTA-NUMERICA,
volume = "30",
pages = "327--444",
month = may,
year = "2021",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492921000052",
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@Article{Ghattas:2021:LPB,
author = "Omar Ghattas and Karen Willcox",
title = "Learning physics-based models from data: perspectives
from inverse problems and model reduction",
journal = j-ACTA-NUMERICA,
volume = "30",
pages = "445--554",
month = may,
year = "2021",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492921000064",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Aug 10 07:36:46 MDT 2021",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 August 2021",
}
@Article{Lim:2021:TC,
author = "Lek-Heng Lim",
title = "Tensors in computations",
journal = j-ACTA-NUMERICA,
volume = "30",
pages = "555--764",
month = may,
year = "2021",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492921000076",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Aug 10 07:36:46 MDT 2021",
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/tensors-in-computations/F7EF66198DB10D3DE70B181D2E77D949",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 August 2021",
}
@Article{Wang:2021:MCL,
author = "Wei Wang and Lei Zhang and Pingwen Zhang",
title = "Modelling and computation of liquid crystals",
journal = j-ACTA-NUMERICA,
volume = "30",
pages = "765--851",
month = may,
year = "2021",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492921000088",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Tue Aug 10 07:36:46 MDT 2021",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/modelling-and-computation-of-liquid-crystals/DFF15BBCE2D4B5773625923445CEAE45",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 August 2021",
}
@Article{Anonymous:2021:AVCa,
author = "Anonymous",
title = "{ANU} volume 30 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "30",
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month = may,
year = "2021",
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@Article{Anonymous:2021:AVCb,
author = "Anonymous",
title = "{ANU} volume 30 Cover and Back matter",
journal = j-ACTA-NUMERICA,
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year = "2021",
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@Article{Gander:2022:SMD,
author = "Martin J. Gander and Hui Zhang",
title = "{Schwarz} methods by domain truncation",
journal = j-ACTA-NUMERICA,
volume = "31",
pages = "1--134",
month = may,
year = "2022",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492922000034",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Wed Jun 15 09:10:34 MDT 2022",
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/schwarz-methods-by-domain-truncation/4D988ACBCF39AC79F778227BE7028D04",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "09 June 2022",
}
@Article{Geshkovski:2022:TOC,
author = "Borjan Geshkovski and Enrique Zuazua",
title = "Turnpike in optimal control of {PDEs}, {ResNets}, and
beyond",
journal = j-ACTA-NUMERICA,
volume = "31",
pages = "135--263",
month = may,
year = "2022",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492922000046",
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/turnpike-in-optimal-control-of-pdes-resnets-and-beyond/A5A8337380F0AC79BD20773659C5DFC8",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "09 June 2022",
}
@Article{Hesthaven:2022:RBM,
author = "Jan S. Hesthaven and Cecilia Pagliantini and Gianluigi
Rozza",
title = "Reduced basis methods for time-dependent problems",
journal = j-ACTA-NUMERICA,
volume = "31",
pages = "265--345",
month = may,
year = "2022",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492922000058",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Wed Jun 15 09:10:34 MDT 2022",
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/reduced-basis-methods-for-timedependent-problems/B3A3572002FB0071F9E903AAEAB83087",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
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onlinedate = "09 June 2022",
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@Article{Higham:2022:MPA,
author = "Nicholas J. Higham and Theo Mary",
title = "Mixed precision algorithms in numerical linear
algebra",
journal = j-ACTA-NUMERICA,
volume = "31",
pages = "347--414",
month = may,
year = "2022",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492922000022",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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acknowledgement = ack-nhfb,
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onlinedate = "09 June 2022",
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@Article{Jin:2022:APS,
author = "Shi Jin",
title = "Asymptotic-preserving schemes for multiscale physical
problems",
journal = j-ACTA-NUMERICA,
volume = "31",
pages = "415--489",
month = may,
year = "2022",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492922000010",
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bibdate = "Wed Jun 15 09:10:34 MDT 2022",
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acknowledgement = ack-nhfb,
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@Article{Anonymous:2022:AVCa,
author = "Anonymous",
title = "{ANU} volume 31 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "31",
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year = "2022",
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@Article{Anonymous:2022:AVCb,
author = "Anonymous",
title = "{ANU} volume 31 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "31",
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month = may,
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@Article{Bachmayr:2023:LRT,
author = "Markus Bachmayr",
title = "Low-rank tensor methods for partial differential
equations",
journal = j-ACTA-NUMERICA,
volume = "32",
pages = "1--121",
month = may,
year = "2023",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492922000125",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat May 13 08:10:16 MDT 2023",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=32&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/lowrank-tensor-methods-for-partial-differential-equations/06D2B93A3E4FB412CB13F8B107F399AB",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "11 May 2023",
}
@Article{BeiraoDaVeiga:2023:VEM,
author = "Louren{\c{c}}o {Beir{\~a}o Da Veiga} and Franco Brezzi
and L. Donatella Marini and Alessandro Russo",
title = "The virtual element method",
journal = j-ACTA-NUMERICA,
volume = "32",
pages = "123--202",
month = may,
year = "2023",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492922000095",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat May 13 08:10:16 MDT 2023",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=32&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/virtual-element-method/F02A0BB9FFFF84C511AE6F9BDB2660C1",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "11 May 2023",
}
@Article{Boldo:2023:FPA,
author = "Sylvie Boldo and Claude-Pierre Jeannerod and Guillaume
Melquiond and Jean-Michel Muller",
title = "Floating-point arithmetic",
journal = j-ACTA-NUMERICA,
volume = "32",
pages = "203--290",
month = may,
year = "2023",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492922000101",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat May 13 08:10:16 MDT 2023",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=32&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/floatingpoint-arithmetic/287C4D5F6D4A43FBEEB1ABED2A405AAF",
acknowledgement = ack-nhfb,
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onlinedate = "11 May 2023",
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@Article{Cotter:2023:CFE,
author = "Colin J. Cotter",
title = "Compatible finite element methods for geophysical
fluid dynamics",
journal = j-ACTA-NUMERICA,
volume = "32",
pages = "291--393",
month = may,
year = "2023",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492923000028",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
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bibdate = "Sat May 13 08:10:16 MDT 2023",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
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onlinedate = "11 May 2023",
}
@Article{Mehrmann:2023:CPH,
author = "Volker Mehrmann and Benjamin Unger",
title = "Control of port-{Hamiltonian} differential-algebraic
systems and applications",
journal = j-ACTA-NUMERICA,
volume = "32",
pages = "395--515",
month = may,
year = "2023",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492922000083",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat May 13 08:10:16 MDT 2023",
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/control-of-porthamiltonian-differentialalgebraic-systems-and-applications/102B84AD17404344FAC406DC2A40D284",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
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onlinedate = "11 May 2023",
}
@Article{Schutte:2023:OTB,
author = "Christof Sch{\"u}tte and Stefan Klus and Carsten
Hartmann",
title = "Overcoming the timescale barrier in molecular
dynamics: Transfer operators, variational principles
and machine learning",
journal = j-ACTA-NUMERICA,
volume = "32",
pages = "517--673",
month = may,
year = "2023",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492923000016",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat May 13 08:10:16 MDT 2023",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=32&issueId=00;
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URL = "https://www.cambridge.org/core/journals/acta-numerica/article/overcoming-the-timescale-barrier-in-molecular-dynamics-transfer-operators-variational-principles-and-machine-learning/AFE1143DC57B9D2B33774997A620E277",
acknowledgement = ack-nhfb,
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onlinedate = "11 May 2023",
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@Article{Tuncel:2023:LOH,
author = "Levent Tun{\c{c}}el and Lieven Vandenberghe",
title = "Linear optimization over homogeneous matrix cones",
journal = j-ACTA-NUMERICA,
volume = "32",
pages = "675--747",
month = may,
year = "2023",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492922000113",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat May 13 08:10:16 MDT 2023",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "11 May 2023",
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@Article{Anonymous:2023:AVCa,
author = "Anonymous",
title = "{ANU} volume 32 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "32",
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month = may,
year = "2023",
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author = "Anonymous",
title = "{ANU} volume 32 Cover and Back matter",
journal = j-ACTA-NUMERICA,
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month = may,
year = "2023",
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bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=32&issueId=00;
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "11 May 2023",
}
@Article{Blanes:2024:SMD,
author = "Sergio Blanes and Fernando Casas and Ander Murua",
title = "Splitting methods for differential equations",
journal = j-ACTA-NUMERICA,
volume = "33",
pages = "1--161",
month = jul,
year = "2024",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492923000077",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Wed Sep 11 14:10:28 MDT 2024",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 September 2024",
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@Article{Bonito:2024:AFE,
author = "Andrea Bonito and Claudio Canuto and Ricardo H.
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title = "Adaptive finite element methods",
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volume = "33",
pages = "163--485",
month = jul,
year = "2024",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492924000011",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
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bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 September 2024",
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@Article{Combettes:2024:GMO,
author = "Patrick L. Combettes",
title = "The geometry of monotone operator splitting methods",
journal = j-ACTA-NUMERICA,
volume = "33",
pages = "487--632",
month = jul,
year = "2024",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492923000065",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Wed Sep 11 14:10:28 MDT 2024",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
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author = "Tim {De Ryck} and Siddhartha Mishra",
title = "Numerical analysis of physics-informed neural networks
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DOI = "https://doi.org/10.1017/S0962492923000089",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Wed Sep 11 14:10:28 MDT 2024",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
https://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 September 2024",
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author = "Xun Huan and Jayanth Jagalur and Youssef Marzouk",
title = "Optimal experimental design: Formulations and
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volume = "33",
pages = "715--840",
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DOI = "https://doi.org/10.1017/S0962492924000023",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
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author = "Jean B. Lasserre",
title = "The Moment-{SOS} hierarchy: Applications and related
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volume = "33",
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bibdate = "Wed Sep 11 14:10:28 MDT 2024",
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ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
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@Article{Anonymous:2024:AVCa,
author = "Anonymous",
title = "{ANU} volume 33 Cover and Front matter",
journal = j-ACTA-NUMERICA,
volume = "33",
pages = "f1--f6",
month = jul,
year = "2024",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492924000035",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Wed Sep 11 14:10:28 MDT 2024",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
https://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 September 2024",
}
@Article{Anonymous:2024:AVCb,
author = "Anonymous",
title = "{ANU} volume 33 Cover and Back matter",
journal = j-ACTA-NUMERICA,
volume = "33",
pages = "b1",
month = jul,
year = "2024",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492924000047",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Wed Sep 11 14:10:28 MDT 2024",
bibsource = "http://journals.cambridge.org/action/displayIssue?jid=ANU&volumeId=0&issueId=00;
https://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
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acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
onlinedate = "04 September 2024",
}
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author = "Nicholas J. Higham",
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volume = "32",
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pages = "28--??",
year = "1996",
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}
