@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|https://www.math.utah.edu/~beebe/|"}
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@Article{Brandt:1961:GCT,
author = "A. Brandt",
title = "A generalization of a combinatorial theorem of {Sparre
Andersen} about sums of random variables",
journal = j-MATH-SCAND,
volume = "9",
pages = "325--358",
year = "1961",
CODEN = "MTSCAN",
ISSN = "0025-5521 (print), 1903-1807 (electronic)",
ISSN-L = "0025-5521",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Mathematica Scandinavica",
}
@Article{Brandt:1966:EDQ,
author = "Achi Brandt",
title = "Estimates for Difference Quotients of Solutions of
{Poisson} Type Difference Equations",
journal = j-MATH-COMPUT,
volume = "20",
number = "96",
pages = "473--499",
month = oct,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
JSTOR database",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Brandt:1966:MFI,
author = "A. Brandt and J. Gillis",
title = "Magnetohydrodynamic flow in the inlet region of a
straight channel",
journal = j-PHYS-FLUIDS,
volume = "9",
pages = "690--699",
year = "1966",
CODEN = "PHFLE6",
ISSN = "1070-6631",
ISSN-L = "1070-6631",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Physics of Fluids",
journal-URL = "http://scitation.aip.org/content/aip/journal/pof1",
}
@Article{Brandt:1969:AAH,
author = "A. Brandt and J. Gillis",
title = "Asymptotic approach to {Hartmann--Poiseuille} flows",
journal = j-J-COMPUT-PHYS,
volume = "3",
number = "4",
pages = "523--538",
month = apr,
year = "1969",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(69)90060-6",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 08:28:03 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1960.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999169900606",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Article{Brandt:1969:IES,
author = "A. Brandt",
title = "Interior estimates for second order elliptic
differential (or finite-difference) equations via the
maximum principle",
journal = j-ISRAEL-MATH,
volume = "7",
pages = "95--121",
year = "1969",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1969:ISE,
author = "A. Brandt",
title = "Interior Schauder estimates for parabolic differential
equations via the maximum principle",
journal = j-ISRAEL-MATH,
volume = "7",
pages = "254--262",
year = "1969",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1969:SPT,
author = "A. Brandt and I. Kelson",
title = "Single particle theory of fission",
journal = j-PHYS-REF,
volume = "183",
pages = "1025--1054",
year = "1969",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Abarbanel:1970:VPF,
author = "S. Abarbanel and S. Bennett and A. Brandt and J.
Gillis",
title = "Velocity profiles of flow at low {Reynolds} numbers",
journal = j-APP-MECH,
volume = "37",
pages = "2--4",
year = "1970",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1971:APT,
author = "A. Brandt and Y. Intrator",
title = "The assignment problem with three job categories",
journal = j-CAS-PEST-MAT,
volume = "96",
pages = "8--11",
year = "1971",
CODEN = "CPMTA8",
ISSN = "0008-7394, 0528-2195",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Casopis Pro Pestovani Matematiky",
}
@Article{Brandt:1971:ITS,
author = "A. Brandt and E. Bresler and N. Dinar and I.
Ben-Asher",
title = "Infiltration from a trickle source. {I}. Mathematical
models",
journal = j-SOIL-SCI-SOC-AMER-PROC,
volume = "35",
pages = "675--682",
year = "1971",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Bressler:1971:ITS,
author = "E. Bressler and J. Heller and N. Dinar and I.
Ben-Asher and A. Brandt and D. Goldberg",
title = "Infiltration from a tricle source. {II}. Experimental
data and theoretical predictions",
journal = j-SOIL-SCI-SOC-AMER-PROC,
volume = "35",
pages = "683--689",
year = "1971",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1973:GLM,
author = "Achi Brandt",
title = "Generalized local maximum principles for
finite-difference operators",
journal = j-MATH-COMPUT,
volume = "27",
number = "124",
pages = "685--718",
month = oct,
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
JSTOR database",
classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical
analysis)",
corpsource = "Weizmann Inst. Sci., Rehovot, Israel",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "difference equations; difference operator;
differential equations; generalized local maximum
principles; maximum principle; nonlinear",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Brandt:1973:MLA,
author = "A. Brandt",
editor = "H. Cabannes and R. Temam",
booktitle = "Lecture Notes in Physics 18",
title = "Multi-level adaptive technique ({MLAT}) for fast
numerical solutions to boundary value problems",
organization = "Proc. 3rd Int. Conf. Numerical Methods in Fluid
Mechanics",
publisher = pub-SV,
address = pub-SV:adr,
pages = "82--89",
year = "1973",
ISBN = "0-387-06170-3",
ISBN-13 = "978-0-387-06170-2",
LCCN = "QA901 .I471 1972",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@TechReport{Brandt:1976:MLA,
author = "A. Brandt",
title = "Multi-level adaptive technique ({MLAT}). {I}. The
multi-grid method",
type = "IBM Research Report",
number = "RC-6026",
institution = "IBM T. J. Watson Research Center",
address = "Yorktown Heights, NY",
year = "1976",
bibdate = "Mon Sep 9 09:31:52 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1977:MLAa,
author = "Achi Brandt",
title = "Multi-Level Adaptive Solutions to Boundary-Value
Problems",
journal = j-MATH-COMPUT,
volume = "31",
number = "138",
pages = "333--390",
month = apr,
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
JSTOR database; Misc/Reverse.eng.bib;
Parallel/mgnet.bib; Parallel/Multi.bib;
Parallel/Multi.grid.bib; Theory/o_ccd.bib",
classcodes = "C4170 (Differential equations)",
corpsource = "Dept. of Math., Weizmann Inst. of Sci., Rehovot,
Israel",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "adaptive solutions; boundary value problems;
boundary-value problems; multilevel",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Brandt:1977:MLAb,
author = "A. Brandt",
title = "Multi-level adaptive techniques ({MLAT}) for partial
differential equations: ideas and software",
crossref = "Rice:1977:MSI",
pages = "273--314 (of ix + 388)",
year = "1977",
LCCN = "QA297 .M36 1977",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InProceedings{South:1977:AML,
author = "J. C. South and A. Brandt",
editor = "T. C. {Adamson, Jr.} and M. F. Platzer",
booktitle = "Transonic flow problems in turbo machinery",
title = "Application of a multi-level grid method to transonic
flow calculations",
publisher = pub-HEMISPHERE,
address = pub-HEMISPHERE:adr,
pages = "180--207",
year = "1977",
ISBN = "0-89116-069-8",
ISBN-13 = "978-0-89116-069-4",
LCCN = "TJ267 .P66 1976",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1978:FAL,
author = "A. Brandt and J. Intrator",
title = "Fast algorithms for long transportation problems",
journal = j-COMP-OP-RES,
volume = "5",
pages = "263--271",
year = "1978",
CODEN = "CMORAP",
ISSN = "0305-0548 (print), 1873-765X (electronic)",
ISSN-L = "0305-0548",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Computers and Operations Research",
journal-URL = "http://www.sciencedirect.com/science/journal/03050548",
}
@InProceedings{Brandt:1979:MGS,
author = "A. Brandt and N. Dinar",
editor = "S. Parter",
booktitle = "Numerical Methods for Partial Differential Equations",
title = "Multi-grid solutions to elliptic flow problems",
publisher = pub-AP,
address = pub-AP:adr,
pages = "53--147 (of ix + 332)",
year = "1979",
ISBN = "0-12-546050-3",
ISBN-13 = "978-0-12-546050-7",
LCCN = "QA374 .A38 1978",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InProceedings{Brandt:1979:MLA,
author = "A. Brandt",
editor = "P. W. Hemker and J. J. H. Miller",
booktitle = "Numerical analysis of singular perturbation problems",
title = "Multi-level adaptive techniques ({MLAT}) for singular
perturbation problems",
publisher = pub-AP,
address = pub-AP:adr,
pages = "53--142 (of xi + 499)",
year = "1979",
ISBN = "0-12-340250-6",
ISBN-13 = "978-0-12-340250-9",
LCCN = "QA371 .N79 1978",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1980:MMS,
author = "Achi Brandt and J. E. {Dendy, Jr.} and Hans Ruppel",
title = "The multigrid method for semi-implicit hydrodynamics
codes",
journal = j-J-COMPUT-PHYS,
volume = "34",
number = "3",
pages = "348--370",
day = "1",
month = mar,
year = "1980",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(80)90094-7",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:00 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999180900947",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@InProceedings{Brandt:1980:MLAa,
author = "A. Brandt",
editor = "D. Pallaschke J. Frehse and U. Trottenberg",
booktitle = "Special Topics of Applied Mathematics",
title = "Multi-level adaptive finite elements methods: {I}.
Variational problems",
publisher = pub-NH,
address = pub-NH:adr,
pages = "91--128 (of viii + 248)",
year = "1980",
ISBN = "0-444-86035-5",
ISBN-13 = "978-0-444-86035-4",
LCCN = "QA320 .S62 1979",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1980:MLAb,
author = "A. Brandt",
title = "Multi-level adaptive finite-element computations in
fluid dynamics",
journal = j-AIAA,
volume = "18",
pages = "1165--1172",
year = "1980",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InProceedings{Brandt:1980:NSF,
author = "A. Brandt",
editor = "J. J. H. Miller",
booktitle = "Boundary and Interior Layers - Computational and
Asymptotic Methods",
title = "Numerical stability and fast solutions to boundary
value problems",
publisher = pub-BOOLE,
address = pub-BOOLE:adr,
pages = "29--49 (of xi + 425)",
year = "1980",
ISBN = "0-906783-01-1",
ISBN-13 = "978-0-906783-01-6",
LCCN = "QA913 .B68 1980",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Alcouffe:1981:MGM,
author = "R. E. Alcouffe and A. Brandt and J. E. {Dendy, Jr.}
and J. W. Painter",
title = "The multi-grid methods for the diffusion equation with
strongly discontinuous coefficients",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "2",
number = "4",
pages = "430--454",
month = "????",
year = "1981",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Wed Jun 29 08:32:39 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sijcd4",
}
@InProceedings{Brandt:1981:MGSa,
author = "A. Brandt",
editor = "M. Schultz",
booktitle = "Elliptic Problem Solvers",
title = "Multi-grid solvers on parallel computers",
publisher = pub-AP,
address = pub-AP:adr,
pages = "39--84 (of xiii + 444)",
year = "1981",
ISBN = "0-12-632620-7",
ISBN-13 = "978-0-12-632620-8",
LCCN = "QA377 .E53 1980",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@TechReport{Brandt:1981:MGSb,
author = "A. Brandt",
title = "Multi-grid solvers for non-elliptic and
singular-perturbation steady-state problems",
institution = "Weizmann Institute of Science",
year = "1981",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@TechReport{Brandt:1982:AMA,
author = "A. Brandt and S. McCormick and J. Ruge",
title = "Algebraic multigrid ({AMG}) for automatic multigrid
solution with application to geodetic computations",
institution = "Institute for Computational Studies, Fort Collins, CO,
POB 1852",
year = "1982",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InProceedings{Brandt:1982:IRM,
author = "A. Brandt",
editor = "K. W. Morton and M. J. Baines",
booktitle = "Numerical Methods for Fluid Dynamics",
title = "Introductory remarks on multigrid methods",
publisher = pub-AP,
address = pub-AP:adr,
pages = "127--134 (of xiv + 517)",
year = "1982",
ISBN = "0-12-508360-2",
ISBN-13 = "978-0-12-508360-7",
LCCN = "TA357.N87 1982",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InProceedings{Brandt:1982:MGS,
author = "A. Brandt",
editor = "R. Glowinsky and J. L. Lions",
booktitle = "Computing Methods in Applied Sciences and Engineering,
V",
title = "Multi-grid solutions to steady-state compressible
{Navier--Stokes} equations. {I}",
publisher = pub-NH,
address = pub-NH:adr,
pages = "407--422 (of x + 668)",
year = "1982",
ISBN = "0-444-86450-4",
ISBN-13 = "978-0-444-86450-5",
LCCN = "QA297 .E53 1981",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Barkai:1983:VMP,
author = "D. Barkai and A. Brandt",
title = "Vectorized multigrid {Poisson} solver for the {CDC
Cyber 205}",
journal = j-APPL-MATH-COMP,
volume = "13",
number = "3--4",
pages = "215--227",
month = nov,
year = "1983",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Feb 28 11:37:53 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Brandt:1983:MAS,
author = "Achi Brandt and Colin W. Cryer",
title = "Multigrid algorithms for the solution of linear
complementarity problems arising from free boundary
problems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "4",
pages = "655--684",
month = dec,
year = "1983",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0904046",
ISSN = "0196-5204",
ISSN-L = "0196-5204",
MRclass = "65N99 (76S05 90C33)",
MRnumber = "85h:65261",
bibdate = "Mon Mar 31 09:59:17 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot,
Israel",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sjoce3",
keywords = "boundary value problems; boundary-value problems;
cavitating journal bearings; elastic-plastic torsion;
elliptic partial differential equations; free boundary
problems; Gauss--Seidel sweeps; linear complementarity
problems; linear elliptic equation; multigrid
algorithms; multigrid FAS algorithm; partial
differential equations; PFAS; PFASMD; PFMG",
onlinedate = "December 1983",
treatment = "T Theoretical or Mathematical",
}
@Article{Brandt:1983:MMD,
author = "A. Brandt and S. McCormick and J. Ruge",
title = "Multigrid Methods for Differential Eigenproblems",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "4",
number = "2",
pages = "244--260",
month = jun,
year = "1983",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0904019",
ISSN = "0196-5204",
ISSN-L = "0196-5204",
MRclass = "65N25 (65N30)",
MRnumber = "84f:65079",
MRreviewer = "K. Najzar",
bibdate = "Mon Mar 31 09:59:13 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sjoce3",
onlinedate = "June 1983",
}
@InProceedings{Brandt:1984:AMA,
author = "A. Brandt and S. McCormick and J. Ruge",
editor = "D. J. Evans",
booktitle = "Sparsity and its Applications",
title = "Algebraic multigrid ({AMG}) for sparse matrix
equations",
publisher = pub-CAMBRIDGE,
address = pub-CAMBRIDGE:adr,
pages = "257--284 (of x + 338)",
year = "1984",
ISBN = "0-521-26272-0",
ISBN-13 = "978-0-521-26272-9",
LCCN = "QA188.S58 1985",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InProceedings{Brandt:1984:GTU,
author = "A. Brandt and D. Ophir",
editor = "B. Engquist and T. Smedsaas",
booktitle = "PDE Software: Modules Interfaces and Systems",
title = "{GRIDPACK}: Toward unification of general grid
programming",
publisher = pub-NH,
address = pub-NH:adr,
pages = "269--288 (of ix + 453)",
year = "1984",
ISBN = "0-444-87620-0",
ISBN-13 = "978-0-444-87620-1",
LCCN = "QA377 .I44 1983",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@TechReport{Brandt:1984:LMLa,
author = "A. Brandt",
title = "Local and Multi-Level Parallel Processing Mill",
institution = "Department of Applied Mathematics, Weizmann
Institute",
address = "Rehovot, Israel",
year = "1984",
bibdate = "Wed Aug 24 16:34:21 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Brandt:1984:LMLb,
author = "A. Brandt",
editor = "U. Trottenberg and P. Wypior",
booktitle = "Rechnerarchiteckturen fur die Numerische Simulation
auf der Basis Superschneller Losungsverfahren I",
title = "Local and multi-level parallel processing mill",
publisher = "GMD-Studien 88",
pages = "31--40",
year = "1984",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@TechReport{Brandt:1984:MTG,
author = "A. Brandt",
title = "Multigrid Techniques: 1984 Guide, with Applications to
Fluid Dynamics",
type = "GMD Studien Nr. 85",
institution = "GMD",
address = "GMD-AIW, Postfach 1240, D-5205, St. Augustin 1,
Germany",
year = "1984",
ISBN = "3-88457-081-1",
ISBN-13 = "978-3-88457-081-4",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "191 pages",
}
@InProceedings{Brandt:1985:ILS,
author = "A. Brandt",
editor = "D. Paddon and H. Holstein",
booktitle = "Multigrid Methods for Integral and Differential
Problems",
title = "Introduction -- Levels and scales",
publisher = pub-CP,
address = pub-CP:adr,
pages = "1--10 (of xii + 323)",
year = "1985",
ISBN = "0-19-853606-2",
ISBN-13 = "978-0-19-853606-2",
LCCN = "QA431 .M751 1985",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
price = "US\$36.40",
}
@Article{Brandt:1985:ISM,
author = "Achi Brandt and Scott R. Fulton and G. D. Taylor",
title = "Improved spectral multigrid methods for periodic
elliptic problems",
journal = j-J-COMPUT-PHYS,
volume = "58",
number = "1",
pages = "96--112",
month = mar,
year = "1985",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(85)90159-7",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Sun Jan 1 15:59:23 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999185901597",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@InProceedings{Brandt:1985:MSQ,
author = "A. Brandt and S. Ta'asan",
editor = "E. M. Murman and S. S. Abarbanel",
booktitle = "Progress and Supercomputing in Computational Fluid
Dynamics",
title = "Multigrid solutions to quasi-elliptic schemes",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "235--255 (of ix + 403)",
year = "1985",
ISBN = "0-8176-3321-9",
ISBN-13 = "978-0-8176-3321-9",
LCCN = "QA911 .U21 1984",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1986:AMT,
author = "A. Brandt",
title = "Algebraic multigrid theory: The symmetric case",
journal = j-APP-MATH-COMP,
volume = "19",
pages = "23--56",
year = "1986",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "Preliminary proceedings of the International Multigrid
Conference, April 6--8, 1983, Copper Mountain, CO",
}
@InProceedings{Brandt:1986:MLA,
author = "A. Brandt and D. Ron and D. J. Amit",
editor = "W. Hackbusch and U. Trottenberg",
booktitle = "Multigrid Methods II",
title = "Multi-level approaches to discrete-state and
stochastic problems",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr,
pages = "66--99 (of vi + 335)",
year = "1986",
ISBN = "0-387-16491-X",
ISBN-13 = "978-0-387-16491-5",
LCCN = "QA3 .L35 v.1228",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
price = "DM50.00",
}
@InProceedings{Brandt:1986:MMN,
author = "A. Brandt and S. Ta'asan",
editor = "W. Hackbusch and U. Trottenberg",
booktitle = "Multigrid Methods II",
title = "Multigrid method for nearly singular and slightly
indefinite problems",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr,
pages = "100--122 (of vi + 335)",
year = "1986",
ISBN = "0-387-16491-X",
ISBN-13 = "978-0-387-16491-5",
LCCN = "QA3 .L35 v.1228",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
price = "DM50.00",
}
@Article{Bai:1987:LMR,
author = "D. Bai and A. Brandt",
title = "Local mesh refinement multilevel techniques",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "8",
number = "2",
pages = "109--134",
month = mar,
year = "1987",
CODEN = "SIJCD4",
ISSN = "0196-5204",
MRclass = "65N50 (65N20)",
MRnumber = "88b:65144",
bibdate = "Tue Apr 29 19:18:28 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "C4170 (Differential equations)",
corpsource = "Dept. of Appl. Math., Weizmann Inst. of Sci., Rehovot,
Israel",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sijcd4",
keywords = "algebraic singularities; boundary shape; difference
equations; forcing terms; local mesh refinement;
mesh-size optimisation; multigrid methods; multilevel
techniques; nonuniform grids; partial differential
equations; Poisson problem; re-entrant corners;
sources",
treatment = "T Theoretical or Mathematical",
}
@InProceedings{Brandt:1987:MLA,
author = "A. Brandt",
title = "Multi-level approaches to large scale problems",
crossref = "Gleason:1987:PIC",
pages = "1319--1334",
year = "1987",
bibdate = "Mon Sep 9 09:33:29 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InProceedings{Brandt:1988:MCR,
author = "A. Brandt",
editor = "S. F. McCormick",
booktitle = "Multigrid Methods: Theory, Applications and
Supercomputing",
title = "Multilevel computations: review and recent
developments",
publisher = pub-DEKKER,
address = pub-DEKKER:adr,
pages = "35--62 (of xiv + 644)",
year = "1988",
ISBN = "0-8247-7979-7",
ISBN-13 = "978-0-8247-7979-5",
LCCN = "QA377 .M9431 1988",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1988:MGR,
author = "A. Brandt and A. Lanza",
title = "Multigrid in general relativity: {I}. {Schwarzschild}
spacetime",
journal = j-CLASS-QUANTUM-GRAV,
volume = "5",
pages = "713--732",
year = "1988",
CODEN = "CQGRDG",
ISSN = "0264-9381 (print), 1361-6382 (electronic)",
ISSN-L = "0264-9381",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Classical and quantum gravity",
}
@Article{Kandel:1988:SCS,
author = "D. Kandel and E. Domany and D. Ron and A. Brandt and
E. {Loh, Jr.}",
title = "Simulations without critical slowing down",
journal = j-PHYS-REV-LET,
volume = "60",
pages = "1591--1594",
year = "1988",
CODEN = "PRLTAO",
ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145",
ISSN-L = "0031-9007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Physical Review Letters",
journal-URL = "http://prl.aps.org/browse",
}
@InProceedings{Ruge:1988:MAE,
author = "J. Ruge and A. Brandt",
editor = "S. F. McCormick",
booktitle = "Multigrid Methods: Theory, Applications and
Supercomputing",
title = "A multigrid approach for elasticity problems on thin
domains",
publisher = pub-DEKKER,
address = pub-DEKKER:adr,
pages = "541--555 (of xiv + 644)",
year = "1988",
ISBN = "0-8247-7979-7",
ISBN-13 = "978-0-8247-7979-5",
LCCN = "QA377 .M9431 1988",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InProceedings{Brandt:1989:RLM,
author = "A. Brandt",
title = "Rigorous local mode analysis of multigrid",
crossref = "Mandel:1989:PFC",
year = "1989",
bibdate = "Sun Sep 8 10:04:11 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Kandel:1989:SCS,
author = "D. Kandel and E. Domany and A. Brandt",
title = "Simulations without critical slowing down --- {Ising}
and 3-state {Potts} models",
journal = j-PHYS-REV-B-CMMP,
volume = "40",
pages = "330--344",
year = "1989",
CODEN = "PRBMDO",
ISSN = "1098-0121",
ISSN-L = "1098-0121",
bibdate = "Mon Sep 09 09:34:17 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Physical Review B: Condensed Matter and Materials Physics",
journal-URL = "http://prb.aps.org/browse",
}
@Article{Ben-Av:1990:FMI,
author = "R. Ben-Av and A. Brandt and S. Solomon",
title = "The fermionic matrix, instantons, zero modes and
multigrid",
journal = j-NUCL-PHYS-B,
volume = "B329",
pages = "193",
year = "1990",
CODEN = "NUPBBO",
ISSN = "0550-3213 (print), 1873-1562 (electronic)",
ISSN-L = "0550-3213",
bibdate = "Sun Sep 8 09:38:09 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Nuclear Physics B",
journal-URL = "http://www.sciencedirect.com/science/journal/05503213",
}
@Article{Brandt:1990:IFO,
author = "A. Brandt and Irad Yavneh",
title = "Inadequacy of first-order upwind difference schemes
for some recirculating flows",
journal = j-J-COMPUT-PHYS,
volume = "89",
number = "1",
pages = "251--251",
month = jul,
year = "1990",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(90)90127-M",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 07:55:42 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/002199919090127M",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Brandt:1990:MMMa,
author = "A. Brandt and A. A. Lubrecht",
title = "Multilevel matrix multiplication and fast solution of
integral equations",
journal = j-J-COMPUT-PHYS,
volume = "87",
number = "2",
pages = "494--494",
month = apr,
year = "1990",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(90)90264-2",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 07:55:40 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999190902642",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Brandt:1990:MMMb,
author = "A. Brandt and A. A. Lubrecht",
title = "Multilevel matrix multiplication and fast solution of
integral equations",
journal = j-J-COMPUT-PHYS,
volume = "90",
number = "2",
pages = "348--370",
month = oct,
year = "1990",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(90)90171-V",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
MRclass = "65R20 (65D30 65Y20)",
MRnumber = "MR1071880 (91j:65194)",
bibdate = "Mon Jan 2 07:55:44 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/002199919090171V",
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Brandt:1990:SMI,
author = "A. Brandt",
title = "The scope of multiresolution iterative computations",
journal = j-SIAM-NEWS,
volume = "23",
pages = "8--9",
year = "1990",
ISSN = "0036-1437",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "SIAM News",
journal-URL = "http://www.siam.org/news/",
}
@InProceedings{Brandt:1990:WIR,
author = "A. Brandt",
editor = "J. Mandel and others",
booktitle = "Proc. 4th Copper Mountain Conference on Multigrid
Methods",
title = "The Weizmann Institute Research in Multilevel
Computation: 1988 Report",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "13--53",
year = "1990",
ISBN = "0-89871-248-3",
ISBN-13 = "978-0-89871-248-3",
LCCN = "QA377 .C767 1989",
bibdate = "Mon Sep 09 09:34:08 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
price = "US\$39.50",
}
@InProceedings{Balsara:1991:MMF,
author = "Dinshaw S. Balsara and Achi Brandt",
editor = "W. Hackbusch and U. Trottenberg",
booktitle = "Multigrid methods, III (Bonn, 1990)",
title = "Multilevel methods for fast solution of {$N$}-body and
hybrid systems",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "131--142 (of ix + 394)",
year = "1991",
ISBN = "0-8176-2632-8",
ISBN-13 = "978-0-8176-2632-7",
LCCN = "QA377.C7628 1991",
MRclass = "65M55 (76M25)",
MRnumber = "MR1131552",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
series = "Internat. Ser. Numer. Math.",
}
@Article{Ben-Av:1991:FSU,
author = "R. Ben-Av and A. Brandt and M. Harmatz and E.
Katznelson and P. G. Lauwers and S. Solomon and K.
Wolowesky",
title = "Fermion simulation using parallel transported
multigrid",
journal = j-PHYS-LET-B,
volume = "253",
number = "1--2",
pages = "185--192",
day = "3",
month = jan,
year = "1991",
CODEN = "PYLBAJ",
ISSN = "0370-2693 (print), 1873-2445 (electronic)",
ISSN-L = "0370-2693",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Physics Letters B",
journal-URL = "http://www.sciencedirect.com/science/journal/03702693",
}
@InProceedings{Brandt:1991:ICG,
author = "A. Brandt and I. Yavneh",
title = "Improved coarse-grid correction for high-{Reynolds}
flows",
crossref = "Mandel:1992:SIM",
pages = "??--??",
month = apr,
year = "1991",
bibdate = "Mon Sep 9 09:33:32 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1991:IFO,
author = "A. Brandt and I. Yavneh",
title = "Inadequacy of first-order upwind difference schemes
for some recirculating flows",
journal = j-J-COMPUT-PHYS,
volume = "93",
number = "1",
pages = "128--143",
year = "1991",
CODEN = "JCTPAH",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
MRclass = "76M20 (76D05)",
MRnumber = "MR1097117 (91m:76075)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Brandt:1991:MCI,
author = "Achi Brandt",
title = "Multilevel computations of integral transforms and
particle interactions with oscillatory kernels",
journal = j-COMP-PHYS-COMM,
volume = "65",
number = "1--3",
pages = "24--38",
day = "2",
month = apr,
year = "1991",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(91)90151-A",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
MRclass = "65F05 (65T20 65Y05)",
MRnumber = "MR1104960 (92f:65038)",
MRreviewer = "L. Berg",
bibdate = "Mon Feb 13 21:29:21 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/001046559190151A",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@InProceedings{Brandt:1991:PMR,
author = "Achi Brandt and Joseph Greenwald",
editor = "W. Hackbusch and U. Trottenberg",
booktitle = "Multigrid methods, III (Bonn, 1990)",
title = "Parabolic multigrid revisited",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "143--154 (of ix + 394)",
year = "1991",
ISBN = "0-8176-2632-8",
ISBN-13 = "978-0-8176-2632-7",
LCCN = "QA377.C7628 1991",
MRclass = "65M55",
MRnumber = "MR1131553",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
series = "Internat. Ser. Numer. Math.",
}
@Article{Harmatz:1991:PTM,
author = "M. Harmatz and P. G. Lauwers and R. Ben-Av and A.
Brandt and E. Katznelson and S. Solomon and K.
Wolowesky",
title = "Parallel-transported multigrid and its application to
the {Schwinger} model",
journal = j-NUCL-PHYS-B,
volume = "20",
year = "1991",
CODEN = "NUPBBO",
ISSN = "0550-3213 (print), 1873-1562 (electronic)",
ISSN-L = "0550-3213",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "(Proc. Suppl.)",
fjournal = "Nuclear Physics B",
journal-URL = "http://www.sciencedirect.com/science/journal/05503213",
}
@InProceedings{Mikulinsky:1991:MTF,
author = "V. Mikulinsky and A. Brandt",
editor = "W. Hackbusch and U. Trottenberg",
booktitle = "Multigrid methods: special topics and applications, II
(Bonn, 1990)",
title = "Multigrid treatment of free boundary conditions",
volume = "189",
publisher = "Gesellsch. Math. Datenverarbeitung",
address = "St. Augustin",
pages = "940--949",
year = "1991",
MRclass = "65N55 (35R35)",
MRnumber = "MR1142829",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "GMD-Studien",
xxpages = "215--226",
}
@InProceedings{Ruge:1991:MMA,
author = "J. Ruge and A. Brandt and J. McWilliams and R.
Milliff",
editor = "W. Hackbusch and T. Trottenberg",
booktitle = "Multigrid Methods III",
title = "Multigrid methods applied to turbulent flow problems",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "91--103 (of ix + 394)",
year = "1991",
ISBN = "0-8176-2632-8",
ISBN-13 = "978-0-8176-2632-7",
LCCN = "QA377.C7628 1991",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InCollection{Ruge:1991:MMT,
author = "John Ruge and Achi Brandt and Jim McWilliams and Ralph
Milliff",
booktitle = "Multigrid methods, III (Bonn, 1990)",
title = "Multigrid methods for turbulent flow problems",
volume = "98",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "91--103",
year = "1991",
MRclass = "65N55 (76F99 76M20)",
MRnumber = "MR1131550 (92f:65152)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
series = "Internat. Ser. Numer. Math.",
}
@InProceedings{Brandt:1992:MCM,
author = "A. Brandt",
editor = "T. Chan and Z.-C. Shi",
booktitle = "Proc. 1991 Hang Zhou International Conference on
Scientific Computation",
title = "Multiscale computational methods: research
activities",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "1--7",
year = "1992",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1992:MML,
author = "A. Brandt",
title = "Multigrid methods in lattice field computations",
journal = j-NUCL-PHYS-B,
volume = "26",
pages = "137--180",
year = "1992",
CODEN = "NUPBBO",
ISSN = "0550-3213 (print), 1873-1562 (electronic)",
ISSN-L = "0550-3213",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "Proc. Suppl.",
fjournal = "Nuclear Physics B",
journal-URL = "http://www.sciencedirect.com/science/journal/05503213",
}
@InProceedings{Brandt:1992:MSD,
author = "A. Brandt and B. Diskin",
editor = "A. Quarteroni",
booktitle = "Proc. Sixth Int. Conf. on Domain Decomposition
Methods",
title = "Multigrid solvers on decomposed domains",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "??--?? (of xxii + 484)",
year = "1992",
ISBN = "0-8218-5158-6",
ISBN-13 = "978-0-8218-5158-6",
LCCN = "QA402.2 .I55 1992",
bibdate = "Mon Jul 11 14:49:01 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:1992:MSHa,
author = "A. Brandt and I. Yavneh",
title = "On multigrid solution of high-{Reynolds}
incompressible entering flows",
journal = j-J-COMPUT-PHYS,
volume = "101",
number = "1",
pages = "151--164",
month = jul,
year = "1992",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(92)90049-5",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
MRclass = "76M25 (65M55 76D05 76M20)",
MRnumber = "MR1173343 (93d:76046)",
bibdate = "Mon Jan 2 07:54:42 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0021999192900495",
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Brandt:1992:MSHb,
author = "A. Brandt",
title = "On multigrid solution of high-{Reynolds}
incompressible entering flows",
journal = j-J-COMPUT-PHYS,
volume = "99",
number = "2",
pages = "352--352",
month = apr,
year = "1992",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(92)90226-O",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 07:55:55 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/002199919290226O",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Brandt:1993:AMC,
author = "A. Brandt and I. Yavneh",
title = "Accelerated multigrid convergence and high-{Reynolds}
recirculating flows",
journal = j-SIAM-J-SCI-COMP,
volume = "14",
number = "3",
pages = "607--626",
year = "1993",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "76M20 (65N55 76D99)",
MRnumber = "MR1214772 (94d:76056)",
MRreviewer = "Max D. Gunzburger",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
}
@Article{Sidilkover:1993:MSS,
author = "David Sidilkover and Achi Brandt",
title = "Multigrid Solution to Steady-State Two-Dimensional
Conservation Laws",
journal = j-SIAM-J-NUMER-ANAL,
volume = "30",
number = "1",
pages = "249--274",
month = feb,
year = "1993",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65M55",
MRnumber = "93i:65091",
bibdate = "Mon Jan 20 15:27:00 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@InCollection{Brandt:1994:MSD,
author = "Achi Brandt and Boris Diskin",
booktitle = "Domain decomposition methods in science and
engineering (Como, 1992)",
title = "Multigrid solvers on decomposed domains",
volume = "157",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "135--155",
year = "1994",
MRclass = "65N55 (65Y05)",
MRnumber = "MR1262615 (94m:65185)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
series = "Contemp. Math.",
}
@Article{Brandt:1994:OMA,
author = "A. Brandt and M. Galun and D. Ron",
title = "Optimal multigrid algorithms for calculating
thermodynamic limits",
journal = j-J-STAT-PHYS,
volume = "74",
number = "1--2",
pages = "313--348",
month = jan,
year = "1994",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF02186816",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Thu Aug 28 18:47:11 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=74&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib",
URL = "http://link.springer.com/article/10.1007/BF02186816",
abstract = "Beyond eliminating the critical slowing down,
multigrid algorithms can also eliminate the need to
produce many independent fine-grid configurations for
averaging out their statistical deviations, by
averaging over the many samples produced in coarse
grids during the multigrid cycle. Thermodynamic limits
can be calculated to accuracy epsilon in just $O(
\epsilon^{-2})$ computer operations. Examples described
in detail and with results of numerical tests are the
calculation of the susceptibility, the sigma
susceptibility, and the average energy in Gaussian
models, and also the determination of the
susceptibility and the critical temperature in a
two-dimensional Ising spin model. Extension to more
advanced models is outlined.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Appl. Math. and Comput. Sci., Weizmann Inst.
of Sci., Rehovot, Israel",
classification = "A0540 (Fluctuation phenomena, random processes, and
Brownian motion); A0550 (Lattice theory and statistics;
C1140G (Monte Carlo methods); C1180 (Optimisation
techniques); C4240 (Programming and algorithm theory);
C7320 (Physics and Chemistry); Ising problems)",
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
keywords = "Average energy; Computer operations; Critical slowing
down; Critical temperature; Gaussian model; Optimal
multigrid algorithms; Sigma -susceptibility;
Statistical deviations; Thermodynamic limits;
Two-dimensional Ising spin model; XY model",
pubcountry = "USA",
thesaurus = "Computational complexity; Ising model; Monte Carlo
methods; Optimisation; Physics computing",
}
@Article{Brandt:1994:RQA,
author = "Achi Brandt",
title = "Rigorous Quantitative Analysis of Multigrid, {I}:
Constant Coefficients Two-Level Cycle with $ {L}_2
$-Norm",
journal = j-SIAM-J-NUMER-ANAL,
volume = "31",
number = "6",
pages = "1695--1730",
month = dec,
year = "1994",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N55 (65N22)",
MRnumber = "95i:65171",
MRreviewer = "H. P. Dikshit",
bibdate = "Mon Jan 20 15:27:00 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Adler:1995:TPA,
author = "J. Adler and A. Brandt and W. Janke and S. Shmulyian",
title = "Three-state {Potts} antiferromagnet on the triangular
lattice",
journal = j-J-PHYS-A,
volume = "28",
number = "18",
pages = "5117--5129",
month = sep,
year = "1995",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
bibdate = "Mon Sep 9 09:53:18 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
abstract = "The three-state Potts antiferromagnetic model on the
triangular lattice (3PAFT) has a weak first-order
transition in the pure case. The first-order nature
follows from analytic arguments and while it has been
observed in some simulations, the precision of (and
internal disagreement between) these observations has
left much to be desired. The 3PAFT is the only
two-dimensional nearest-neighbour Potts model with an
ordered phase that does not have an infinite
degeneracy, that remains without an exact value for its
critical point. This model is expected to exhibit
interesting glassy behaviour and a possible crossover
to a second-order transition upon dilution. A careful
characterization of the nature of the pure transition
is needed in order to explore the physics of the dilute
model. We find clear indication of a first-order
transition at T/sub t/=0.62731+or-0.00006, using a
cluster method that can be extended to the dilute case
and histogram reweighting analysis. Our estimate is two
orders of magnitude more precise than previous
simulations and falls within the error bounds of a
reanalysis of existing series expansion (T/sub
t/=0.628+or-0.004) reported on herein.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Phys., Technion-Israel Inst. of Technol.,
Haifa, Israel",
classification = "A0550 (Lattice theory and statistics; A7510H (Ising
and other classical spin models (magnetism)); A7530K
(Magnetic phase boundaries); A7540C (Static properties
of magnetic materials); Ising problems)",
fjournal = "Journal of Physics A (Mathematical and General)",
journal-URL = "http://iopscience.iop.org/0305-4470",
keywords = "2D nearest-neighbour Potts model; Analytic arguments;
Cluster method; Critical point; Dilution; Glassy
behaviour; Histogram reweighting analysis; Ordered
phase; Second-order transition; Series expansion;
Three-state Potts antiferromagnetic model; Triangular
lattice; Weak first-order transition",
pubcountry = "UK",
thesaurus = "Antiferromagnetism; Dilute magnetic materials; Lattice
theory; Magnetic transitions; Potts model; Series
[mathematics]",
}
@Article{Adler:1995:TSP,
author = "J. Adler and A. Brandt and W. Janke and S. Shmulyian",
title = "Three-state {Potts} antiferromagnet on the triangular
lattice",
journal = j-J-PHYS-A,
volume = "28",
number = "18",
pages = "5117--5129",
year = "1995",
CODEN = "JPHAC5",
ISSN = "0305-4470 (print), 1361-6447 (electronic)",
ISSN-L = "0305-4470",
MRclass = "82B20 (82-04 82B27)",
MRnumber = "MR1364125",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Journal of Physics. A. Mathematical and General",
journal-URL = "http://iopscience.iop.org/0305-4470",
}
@Article{Bates:1995:GSN,
author = "J. R. Bates and Y. Li and A. Brandt and S. F.
McCormick and J. Ruge",
title = "A global shallow-water numerical model based on the
{semi-Lagrangian} advection of potential vorticity",
journal = j-QUART-J-ROY-MET-SOC,
volume = "121",
number = "528",
pages = "1981--??",
year = "1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "Submitted",
}
@Article{Brandt:1995:RIM,
author = "A. Brandt and V. Mikulinsky",
title = "On recombining iterants in multigrid algorithms and
problems with small islands",
journal = j-SIAM-J-SCI-COMP,
volume = "16",
number = "1",
pages = "20--28",
month = jan,
year = "1995",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55 (65B99)",
MRnumber = "MR1311675 (95j:65156)",
MRreviewer = "Svetozar D. Margenov",
bibdate = "Mon Sep 9 10:00:42 MDT 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
abstract = "Deals with nearly singular problems and with problems
having small `islands' or other small features that are
not visible on a coarse grid, in which cases the usual
multigrid solvers converge slowly, or even diverge. In
these and many other problems, the main difficulty is
related to a few badly approximated components. The
numerical experiments reported in this article show
that by recombining multigrid iterants, such components
are eliminated effectively, and the usual multigrid
asymptotic convergence rate is restored.",
acknowledgement = ack-nhfb,
affiliation = "Dept. of Appl. Math. and Comput. Sci., Weizmann Inst.
of Sci., Rehovot, Israel",
classification = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
keywords = "Badly approximated components; Multigrid algorithms;
Multigrid asymptotic convergence rate; Multigrid
itinerant recombination; Nearly singular problems;
Polynomial acceleration; Small islands",
language = "English Copyright 1995, IEE",
pubcountry = "USA",
thesaurus = "Convergence of numerical methods; Differential
equations; Iterative methods; Polynomials",
}
@Article{Brandt:1996:OMA,
author = "A. Brandt and M. Galun",
title = "Optimal multigrid algorithms for the massive
{Gaussian} model and path integrals",
journal = j-J-STAT-PHYS,
volume = "82",
number = "5--6",
pages = "1503--1518",
month = mar,
year = "1996",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1007/BF02183393",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Sat Aug 30 12:15:51 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=82&issue=5;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib",
URL = "http://link.springer.com/article/10.1007/BF02183393",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Article{Schlick:1996:CWM,
author = "Tamar Schlick and Achi Brandt",
title = "Conferences \& Workshops: {A Multigrid Tutorial with
Applications to Molecular Dynamics}",
journal = j-IEEE-COMPUT-SCI-ENG,
volume = "3",
number = "3",
pages = "78--79, 82",
month = "Fall",
year = "1996",
CODEN = "ISCEE4",
ISSN = "1070-9924 (print), 1558-190X (electronic)",
ISSN-L = "1070-9924",
bibdate = "Sat Jan 9 08:57:23 MST 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
acknowledgement = ack-nhfb,
fjournal = "IEEE Computational Science \& Engineering",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=99",
}
@Article{Brandt:1997:GCR,
author = "Achi Brandt",
title = "The {Gauss Center} research in multiscale scientific
computation",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "6",
number = "Dec.",
pages = "1--34",
year = "1997",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65-03 (01A65)",
MRnumber = "MR1615153 (99a:65002)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "http://etna.mcs.kent.edu/;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "Special issue on multilevel methods (Copper Mountain,
CO, 1997)",
URL = "http://etna.mcs.kent.edu/vol.6.1997/pp1-34.dir/pp1-34.pdf",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Brandt:1997:MAA,
author = "Achi Brandt and Leonid Yu. Zaslavsky",
title = "Multiscale algorithm for atmospheric data
assimilation",
journal = j-SIAM-J-SCI-COMP,
volume = "18",
number = "3",
pages = "949--956",
year = "1997",
CODEN = "SJOCE3",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "86A10 (65R10 86-08)",
MRnumber = "MR1443650 (98a:86009)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
}
@Article{Brandt:1997:OMA,
author = "A. Brandt and M. Galun",
title = "Optimal Multigrid Algorithms for Variable-Coupling
Isotropic {Gaussian} Models",
journal = j-J-STAT-PHYS,
volume = "88",
number = "3--4",
pages = "637--664",
month = aug,
year = "1997",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1023/B:JOSS.0000015166.92664.d8",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Thu Aug 28 18:51:54 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=88&issue=3;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys1990.bib",
URL = "http://link.springer.com/article/10.1023/B%3AJOSS.0000015166.92664.d8",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Article{Brandt:1997:WRM,
author = "A. Brandt and I. Livshits",
title = "Wave-ray multigrid method for standing wave
equations",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "6",
number = "Dec.",
pages = "162--181",
year = "1997",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65N55",
MRnumber = "MR1615163 (99d:65342)",
MRreviewer = "Dietrich Braess",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "http://etna.mcs.kent.edu/;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "Special issue on multilevel methods (Copper Mountain,
CO, 1997)",
URL = "http://etna.mcs.kent.edu/vol.6.1997/pp162-181.dir/pp162-181.pdf",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Brandt:1998:MEI,
author = "A. Brandt and C. H. Venner",
title = "Multilevel evaluation of integral transforms with
asymptotically smooth kernels",
journal = j-SIAM-J-SCI-COMP,
volume = "19",
number = "2",
pages = "468--492",
year = "1998",
CODEN = "SJOCE3",
ISSN = "1095-7197",
ISSN-L = "1064-8275",
MRclass = "65R10 (65R20)",
MRnumber = "MR1618812 (99a:65185)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
}
@InCollection{Brandt:1998:MEIb,
author = "A. Brandt and C. H. Venner",
booktitle = "Multigrid methods V (Stuttgart, 1996)",
title = "Multilevel evaluation of integral transforms on
adaptive grids",
volume = "3",
publisher = pub-SV,
address = pub-SV:adr,
pages = "21--44",
year = "1998",
MRclass = "65R10",
MRnumber = "MR1727783 (2000i:65214)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
series = "Lect. Notes Comput. Sci. Eng.",
}
@Article{Yavneh:1998:FMS,
author = "Irad Yavneh and Cornelis H. Venner and Achi Brandt",
title = "Fast multigrid solution of the advection problem with
closed characteristics",
journal = j-SIAM-J-SCI-COMP,
volume = "19",
number = "1",
pages = "111--125",
year = "1998",
CODEN = "SJOCE3",
ISSN = "1095-7197",
ISSN-L = "1064-8275",
MRclass = "65N55 (65N12 76D05 76M20)",
MRnumber = "MR1616880 (99d:65358)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "Special issue on iterative methods (Copper Mountain,
CO, 1996)",
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
}
@Article{Brandt:1999:FAM,
author = "Achi Brandt and Jordan Mann and Matvei Brodski and
Meirav Galun",
title = "A Fast and Accurate Multilevel Inversion of the Radon
Transform",
journal = j-SIAM-J-APPL-MATH,
volume = "60",
number = "2",
pages = "437--462",
year = "1999",
CODEN = "SMJMAP",
DOI = "https://doi.org/10.1137/S003613999732425X",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Sat Jan 22 13:42:43 MST 2000",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIAP/60/2;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/32425",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Brandt:1999:FCM,
author = "A. Brandt and J. Dym",
title = "Fast calculation of multiple line integrals",
journal = j-SIAM-J-SCI-COMP,
volume = "20",
number = "4",
pages = "1417--1429",
year = "1999",
CODEN = "SJOCE3",
ISSN = "1095-7197",
ISSN-L = "1064-8275",
MRclass = "65D30",
MRnumber = "MR1691047 (2000b:65038)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
}
@Article{Brandt:1999:MSN,
author = "Achi Brandt and Boris Diskin",
title = "Multigrid solvers for nonaligned sonic flows",
journal = j-SIAM-J-SCI-COMP,
volume = "21",
number = "2",
pages = "473--501",
year = "1999",
CODEN = "SJOCE3",
ISSN = "1095-7197",
ISSN-L = "1064-8275",
MRclass = "65N55 (76H05 76M20)",
MRnumber = "MR1718647 (2000h:65177)",
MRreviewer = "Ma{\l}gorzata Peszy{\'n}ska",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
}
@Article{Brandt:19xx:MTP,
author = "A. Brandt and V. Mikulinsky",
title = "Multigrid treatment of problems with highly
oscillating boundary and boundary conditions",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "??",
number = "??",
pages = "??--??",
month = "????",
year = "19xx",
CODEN = "SIJCD4",
ISSN = "0196-5204",
bibdate = "Wed Jun 29 08:32:41 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
note = "Submitted",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sijcd4",
}
@Article{Brandt:2000:FAM,
author = "Achi Brandt and Jordan Mann and Matvei Brodski and
Meirav Galun",
title = "A fast and accurate multilevel inversion of the
{Radon} transform",
journal = j-SIAM-J-APPL-MATH,
volume = "60",
number = "2",
pages = "437--462",
year = "2000",
CODEN = "SMJMAP",
DOI = "https://doi.org/10.1137/S003613999732425X",
ISSN = "1095-712X",
ISSN-L = "0036-1399",
MRclass = "92C55 (44A12 65R10)",
MRnumber = "MR1740254 (2001a:92016)",
MRreviewer = "Fritz Keinert",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Brandt:2000:GHA,
author = "Achi Brandt",
title = "General highly accurate algebraic coarsening",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "10",
pages = "1--20",
year = "2000",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65F10 (65N22 65N55)",
MRnumber = "MR1760015 (2001a:65036)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "http://etna.mcs.kent.edu/;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "Multilevel methods (Copper Mountain, CO, 1999)",
URL = "http://etna.mcs.kent.edu/vol.10.2000/pp1-20.dir/pp1-20.pdf",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Brandt:2000:MSE,
author = "Achi Brandt and Moshe Israeli and Irad Yavneh and
Andrew Siegel",
title = "Multigrid Solution of an Elliptic Boundary-Value
Problem with Integral Constraints",
journal = j-SIAM-J-SCI-COMP,
volume = "21",
number = "4",
pages = "1357--1369",
month = jul,
year = "2000",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/S1064827597331813",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
bibdate = "Fri Oct 27 13:32:22 MDT 2000",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/21/4;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/33181",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
}
@Article{Ruge:2000:NMS,
author = "John W. Ruge and Yong Li and Steve McCormick and Achi
Brandt and J. R. Bates",
title = "A nonlinear multigrid solver for a semi-{Lagrangian}
potential vorticity-based shallow-water model on the
sphere",
journal = j-SIAM-J-SCI-COMP,
volume = "21",
number = "6",
pages = "2381--2395",
year = "2000",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/S1064827595284841",
ISSN = "1095-7197",
ISSN-L = "1064-8275",
MRclass = "65M55 (76M25 76U05)",
MRnumber = "MR1762047 (2001a:65115)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
}
@Article{Brandt:2001:RMR,
author = "Achi Brandt and Dorit Ron",
title = "Renormalization Multigrid {(RMG)}: Statistically
Optimal Renormalization Group Flow and Coarse-to-Fine
{Monte Carlo} Acceleration",
journal = j-J-STAT-PHYS,
volume = "102",
number = "1--2",
pages = "231--257",
month = jan,
year = "2001",
CODEN = "JSTPSB",
DOI = "https://doi.org/10.1023/A:1026520927784",
ISSN = "0022-4715 (print), 1572-9613 (electronic)",
ISSN-L = "0022-4715",
bibdate = "Thu Aug 28 18:56:06 MDT 2014",
bibsource = "http://link.springer.com/journal/10955;
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0022-4715&volume=102&issue=1;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jstatphys2000.bib",
URL = "http://link.springer.com/article/10.1023/A%3A1026520927784",
acknowledgement = ack-nhfb,
fjournal = "Journal of Statistical Physics",
journal-URL = "http://link.springer.com/journal/10955",
}
@Book{Trottenberg:2001:M,
author = "U. Trottenberg and C. W. Oosterlee and A.
Sch{\"u}ller",
title = "Multigrid",
publisher = pub-AP,
address = pub-AP:adr,
pages = "xvi + 631",
year = "2001",
ISBN = "0-12-701070-X",
ISBN-13 = "978-0-12-701070-0",
MRclass = "65-02 (65F10 65M55 65N22 65N55)",
MRnumber = "MR1807961 (2002b:65002)",
MRreviewer = "Dietrich Braess",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "With contributions by A. Brandt, P. Oswald and K.
St{\"u}ben",
}
@InCollection{Brandt:2002:MSC,
author = "Achi Brandt",
booktitle = "Multiscale and multiresolution methods",
title = "Multiscale scientific computation: review 2001",
volume = "20",
publisher = pub-SV,
address = pub-SV:adr,
pages = "3--95",
year = "2002",
DOI = "https://doi.org/10.1007/978-3-642-56205-1_1",
MRclass = "65-02",
MRnumber = "MR1928564 (2003i:65002)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
series = "Lect. Notes Comput. Sci. Eng.",
}
@InCollection{Livne:2002:MEC,
author = "Oren E. Livne and Achi Brandt",
booktitle = "Multiscale and multiresolution methods",
title = "Multiscale eigenbasis calculations: {$N$}
eigenfunctions in {$ O(N \log N) $}",
volume = "20",
publisher = pub-SV,
address = pub-SV:adr,
pages = "347--357",
year = "2002",
DOI = "https://doi.org/10.1007/978-3-642-56205-1_11",
MRclass = "65N25 (81Q05)",
MRnumber = "MR1928574",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
series = "Lect. Notes Comput. Sci. Eng.",
}
@Article{Livne:2002:RSE,
author = "Oren E. Livne and Achi Brandt",
title = "{$N$} roots of the secular equation in {$ O(N) $}
operations",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "24",
number = "2",
pages = "439--453",
year = "2002",
CODEN = "SJMAEL",
DOI = "https://doi.org/10.1137/S0895479801383695",
ISSN = "1095-7162",
ISSN-L = "0895-4798",
MRclass = "65H05 (65F15 68Q25)",
MRnumber = "MR1951129 (2003m:65076)",
MRreviewer = "Brian Bradie",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
}
@InCollection{Thomas:2002:GFA,
author = "James L. Thomas and Boris Diskin and Achi Brandt and
Jerry C. {South, Jr.}",
booktitle = "Frontiers of computational fluid dynamics, 2002 (Half
Moon Bay, CA, 2000)",
title = "General framework for achieving textbook multigrid
efficiency: one-dimensional {Euler} example",
publisher = "World Sci. Publishing",
address = "River Edge, NJ",
pages = "61--80",
year = "2002",
MRclass = "65M55 (65N55 76M25)",
MRnumber = "MR1877248 (2002k:65148)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InCollection{Brandt:2003:MAD,
author = "Achi Brandt and Rima Gandlin",
booktitle = "Hyperbolic problems: theory, numerics, applications",
title = "Multigrid for atmospheric data assimilation:
analysis",
publisher = pub-SV,
address = pub-SV:adr,
pages = "369--376",
year = "2003",
MRclass = "65M55 (76M25 86A10)",
MRnumber = "MR2053186",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@InCollection{Brandt:2003:MSM,
author = "Achi Brandt and Dorit Ron",
booktitle = "Multilevel optimization in VLSICAD",
title = "Multigrid solvers and multilevel optimization
strategies",
volume = "14",
publisher = "Kluwer Acad. Publ.",
address = "Dordrecht",
pages = "1--69",
DOI = "https://doi.org/10.1007/978-1-4757-3748-6_1",
year = "2003",
MRclass = "90C30 (65N55 68W25)",
MRnumber = "MR2021995",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
series = "Comb. Optim.",
}
@InCollection{Thomas:2003:TME,
author = "James L. Thomas and Boris Diskin and Achi Brandt",
booktitle = "Annual review of fluid mechanics, Vol. 35",
title = "Textbook multigrid efficiency for fluid simulations",
volume = "35",
publisher = "Annual Reviews",
address = "Palo Alto, CA",
pages = "317--340",
year = "2003",
DOI = "https://doi.org/10.1146/annurev.fluid.35.101101.161209",
MRclass = "76M25 (65M50)",
MRnumber = "MR1967016 (2004b:76118)",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
series = "Annu. Rev. Fluid Mech.",
}
@Article{Livne:2004:LMA,
author = "O. E. Livne and A. Brandt",
title = "Local mode analysis of multicolor and composite
relaxation schemes",
journal = j-COMPUT-MATH-APPL,
volume = "47",
number = "2--3",
pages = "301--317",
month = jan # "\slash " # feb,
year = "2004",
CODEN = "CMAPDK",
DOI = "https://doi.org/10.1016/S0898-1221(04)90026-0",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
MRclass = "65N22 (65N55)",
MRnumber = "MR2047945 (2005d:65196)",
MRreviewer = "Dietrich Braess",
bibdate = "Sat Apr 16 18:04:31 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
fjournal = "Computers \& Mathematics with Applications. An
International Journal",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Brandt:2005:MSS,
author = "A. Brandt",
title = "Multiscale solvers and systematic upscaling in
computational physics",
journal = j-COMP-PHYS-COMM,
volume = "169",
number = "1--3",
pages = "438--441",
day = "1",
month = jul,
year = "2005",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/j.cpc.2005.03.097",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 23:41:57 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0010465505001943",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Livshits:2006:APW,
author = "Irene Livshits and Achi Brandt",
title = "Accuracy properties of the wave-ray multigrid
algorithm for {Helmholtz} equations",
journal = j-SIAM-J-SCI-COMP,
volume = "28",
number = "4",
pages = "1228--1251",
year = "2006",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/040620461",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65N55 (35J05)",
MRnumber = "2255454 (2008e:65392)",
bibdate = "Mon Aug 23 18:53:38 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
}
@Article{Safro:2006:GML,
author = "Ilya Safro and Dorit Ron and Achi Brandt",
title = "Graph minimum linear arrangement by multilevel
weighted edge contractions",
journal = j-J-ALG,
volume = "60",
number = "1",
pages = "24--41",
year = "2006",
CODEN = "JOALDV",
DOI = "https://doi.org/10.1016/j.jalgor.2004.10.004",
ISSN = "0196-6774 (print), 1090-2678 (electronic)",
ISSN-L = "0196-6774",
MRclass = "90C35 (90C27)",
MRnumber = "2228943 (2006m:90191)",
bibdate = "Mon Aug 23 18:53:38 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Algorithms",
journal-URL = "http://www.sciencedirect.com/science/journal/01966774",
}
@Article{Safro:2006:MAM,
author = "Ilya Safro and Dorit Ron and Achi Brandt",
title = "A multilevel algorithm for the minimum $2$-sum
problem",
journal = "J. Graph Algorithms Appl.",
volume = "10",
number = "2",
pages = "237--258",
year = "2006",
DOI = "https://doi.org/10.7155/jgaa.00126",
ISSN = "1526-1719",
ISSN-L = "1526-1719",
MRclass = "05C85",
MRnumber = "2302167",
bibdate = "Mon Aug 23 18:53:38 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Graph Algorithms and Applications",
}
@Article{Safro:2008:MAL,
author = "Ilya Safro and Dorit Ron and Achi Brandt",
title = "Multilevel algorithms for linear ordering problems",
journal = j-ACM-J-EXP-ALGORITHMICS,
volume = "13",
pages = "20",
year = "2008",
DOI = "https://doi.org/10.1145/1412228.1412232",
ISSN = "1084-6654",
MRclass = "68W05 (05C85 65K10 68R10)",
MRnumber = "2443704 (2009j:68191)",
bibdate = "Mon Aug 23 18:53:38 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
acknowledgement = ack-nhfb,
articleno = "1.4",
fjournal = "ACM Journal of Experimental Algorithmics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J430",
}
@InCollection{Brandt:2009:DDA,
author = "Achi Brandt and Oleg Iliev and Joerg Willems",
booktitle = "Domain decomposition methods in science and
engineering {XVIII}",
title = "A domain decomposition approach for calculating the
graph corresponding to a fibrous geometry",
volume = "70",
publisher = pub-SV,
address = pub-SV:adr,
pages = "3--14",
year = "2009",
DOI = "https://doi.org/10.1007/978-3-642-02677-5_1",
MRclass = "65N55 (78M25)",
MRnumber = "2743954",
bibdate = "Tue Sep 27 18:02:06 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
series = "Lect. Notes Comput. Sci. Eng.",
acknowledgement = ack-nhfb,
}
@Article{Adams:2010:TTM,
author = "Mark F. Adams and Ravi Samtaney and Achi Brandt",
title = "Toward textbook multigrid efficiency for fully
implicit resistive magnetohydrodynamics",
journal = j-J-COMPUT-PHYS,
volume = "229",
number = "18",
pages = "6208--6219",
day = "1",
month = sep,
year = "2010",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/j.jcp.2010.04.024",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
MRclass = "76M25 (65M08 65M55 76W05)",
MRnumber = "2660302 (2011e:76110)",
bibdate = "Sat Dec 31 11:58:34 MST 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999110002007",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@InCollection{Brandt:2010:PSU,
author = "Achi Brandt",
editor = "Jacob Fish",
booktitle = "Multiscale methods. {Bridging} the scales in science
and engineering",
title = "Principles of systematic upscaling",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
bookpages = "xxiv + 598 + 8",
pages = "193--215",
year = "2010",
ISBN = "0-19-923385-3",
ISBN-13 = "978-0-19-923385-4",
LCCN = "TA335 .M85 2010",
bibdate = "Sat Dec 29 09:48:40 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
z3950.loc.gov:7090/Voyager",
ZMnumber = "1218.65142",
acknowledgement = ack-nhfb,
classmath = "65N55 (Multigrid methods; domain decomposition (BVP of
PDE)) 65F10 (Iterative methods for linear systems)
65N06 (Finite difference methods (BVP of PDE))",
keywords = "finite differences; highly nonlinear cases;
upscaling",
subject = "Engineering mathematics; Mathematical analysis;
Scaling laws (Statistical physics)",
}
@Article{Ron:2010:FMA,
author = "Dorit Ron and Ilya Safro and Achi Brandt",
title = "A Fast Multigrid Algorithm for Energy Minimization
under Planar Density Constraints",
journal = j-MULTISCALE-MODELING-SIMUL,
volume = "8",
number = "5",
pages = "1599--1620",
month = "????",
year = "2010",
CODEN = "MMSUBT",
DOI = "https://doi.org/10.1137/090771995",
ISSN = "1540-3459 (print), 1540-3467 (electronic)",
ISSN-L = "1540-3459",
MRclass = "90B80 (65N55 90C35)",
MRnumber = "2728701 (2011j:90091)",
bibdate = "Fri Mar 4 09:14:27 MST 2011",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/MMS/8/5;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
URL = "http://epubs.siam.org/mms/resource/1/mmsubt/v8/i5/p1599_s1",
acknowledgement = ack-nhfb,
fjournal = "Multiscale Modeling and Simulation",
journal-URL = "http://epubs.siam.org/mms",
onlinedate = "September 07, 2010",
}
@Article{Zhu:2010:EMM,
author = "Yongning Zhu and Eftychios Sifakis and Joseph Teran
and Achi Brandt",
title = "An efficient multigrid method for the simulation of
high-resolution elastic solids",
journal = j-TOG,
volume = "29",
number = "2",
pages = "16:1--16:18",
month = mar,
year = "2010",
CODEN = "ATGRDF",
DOI = "https://doi.org/10.1145/1731047.1731054",
ISSN = "0730-0301 (print), 1557-7368 (electronic)",
ISSN-L = "0730-0301",
bibdate = "Tue Apr 20 12:08:55 MDT 2010",
bibsource = "http://www.acm.org/pubs/contents/journals/tog/;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
abstract = "We present a multigrid framework for the simulation of
high-resolution elastic deformable models, designed to
facilitate scalability on shared memory
multiprocessors. We incorporate several
state-of-the-art techniques from multigrid theory,
while adapting them to the specific requirements of
graphics and animation applications, such as the
ability to handle elaborate geometry and complex
boundary conditions. Our method supports simulation of
linear elasticity and corotational linear elasticity.
The efficiency of our solver is practically independent
of material parameters, even for near-incompressible
materials. We achieve simulation rates as high as 6
frames per second for test models with 256K vertices on
an 8-core SMP, and 1.6 frames per second for a 2M
vertex object on a 16-core SMP.",
acknowledgement = ack-nhfb,
articleno = "16",
fjournal = "ACM Transactions on Graphics",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J778",
keywords = "corotational linear elasticity; Deformable models;
near-incompressible solids; parallel simulation",
}
@Article{Bolten:2011:BAM,
author = "Matthias Bolten and Achi Brandt and James Brannick and
Andreas Frommer and Karsten Kahl and Ira Livshits",
title = "A Bootstrap Algebraic Multilevel Method for {Markov}
Chains",
journal = j-SIAM-J-SCI-COMP,
volume = "33",
number = "6",
pages = "3425--3446",
month = "????",
year = "2011",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/100791816",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65C40 (60J10 60J22 60J27 65F08 65F10)",
MRnumber = "2862020 (2012k:65013)",
MRreviewer = "Udrea P{\u{a}}un",
bibdate = "Thu Feb 9 06:05:59 MST 2012",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/33/6;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
URL = "http://epubs.siam.org/sisc/resource/1/sjoce3/v33/i6/p3425_s1",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
onlinedate = "December 13, 2011",
}
@Article{Brandt:2011:BA,
author = "A. Brandt and J. Brannick and K. Kahl and I.
Livshits",
title = "Bootstrap {AMG}",
journal = j-SIAM-J-SCI-COMP,
volume = "33",
number = "2",
pages = "612--632",
month = "????",
year = "2011",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/090752973",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
bibdate = "Fri Mar 4 09:58:54 MST 2011",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/33/2;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
URL = "http://epubs.siam.org/sisc/resource/1/sjoce3/v33/i2/p612_s1",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
onlinedate = "March 01, 2011",
}
@Book{Brandt:2011:MTG,
author = "Achi Brandt and Oren E. Livne",
title = "Multigrid techniques --- 1984 guide with applications
to fluid dynamics",
volume = "67",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xx + 218",
year = "2011",
DOI = "https://doi.org/10.1137/1.9781611970753",
ISBN = "1-61197-074-1",
ISBN-13 = "978-1-61197-074-6",
MRclass = "65N20 (01A75 65-02 65N50 76Mxx)",
MRnumber = "3396211",
bibdate = "Sat Mar 26 08:22:59 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "Revised edition of the 1984 original [MR0772748].",
series = "Classics in Applied Mathematics",
acknowledgement = ack-nhfb,
}
@Article{Livne:2011:MMS,
author = "Oren E. Livne and Achi E. Brandt",
title = "{MuT}: The {Multilevel Sinc Transform}",
journal = j-SIAM-J-SCI-COMP,
volume = "33",
number = "4",
pages = "1726--1738",
month = "????",
year = "2011",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/100806904",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
bibdate = "Wed Aug 24 08:16:14 MDT 2011",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/33/4;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
URL = "http://epubs.siam.org/sisc/resource/1/sjoce3/v33/i4/p1726_s1",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
onlinedate = "July 28, 2011",
}
@Article{Ron:2011:RBC,
author = "Dorit Ron and Ilya Safro and Achi Brandt",
title = "Relaxation-Based Coarsening and Multiscale Graph
Organization",
journal = j-MULTISCALE-MODELING-SIMUL,
volume = "9",
number = "1",
pages = "407--423",
month = "????",
year = "2011",
CODEN = "MMSUBT",
DOI = "https://doi.org/10.1137/100791142",
ISSN = "1540-3459 (print), 1540-3467 (electronic)",
ISSN-L = "1540-3459",
MRclass = "05C12 (05C85 05C90 65D99 68R10 90C06 90C35)",
MRnumber = "2801211 (2012d:05126)",
bibdate = "Fri Mar 4 09:14:30 MST 2011",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/MMS/9/1;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
URL = "http://epubs.siam.org/mms/resource/1/mmsubt/v9/i1/p407_s1",
acknowledgement = ack-nhfb,
fjournal = "Multiscale Modeling and Simulation",
journal-URL = "http://epubs.siam.org/mms",
onlinedate = "March 03, 2011",
}
@Article{Ye:2012:MNB,
author = "Jian Ye and Igor Yanovsky and Bin Dong and Rima
Gandlin and Achi Brandt and Stanley Osher",
title = "Multigrid Narrow Band Surface Reconstruction via Level
Set Functions",
journal = j-LECT-NOTES-COMP-SCI,
volume = "7431",
pages = "61--70",
year = "2012",
CODEN = "LNCSD9",
DOI = "https://doi.org/10.1007/978-3-642-33179-4_7",
ISSN = "0302-9743 (print), 1611-3349 (electronic)",
ISSN-L = "0302-9743",
bibdate = "Mon Dec 24 07:56:56 MST 2012",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/lncs2012g.bib",
URL = "http://link.springer.com/chapter/10.1007/978-3-642-33179-4_7/;
http://link.springer.com/content/pdf/10.1007/978-3-642-33179-4_7",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/978-3-642-33179-4",
book-URL = "http://www.springerlink.com/content/978-3-642-33179-4",
fjournal = "Lecture Notes in Computer Science",
journal-URL = "http://link.springer.com/bookseries/558",
}
@Article{Livne:2012:LAM,
author = "Oren E. Livne and Achi Brandt",
title = "{Lean Algebraic Multigrid (LAMG)}: Fast Graph
{Laplacian} Linear Solver",
journal = j-SIAM-J-SCI-COMP,
volume = "34",
number = "4",
pages = "B499--B522",
month = "????",
year = "2012",
CODEN = "SJOCE3",
DOI = "https://doi.org/10.1137/110843563",
ISSN = "1064-8275 (print), 1095-7197 (electronic)",
ISSN-L = "1064-8275",
MRclass = "65F10 (05C90 65F50 90C35)",
MRnumber = "2970416",
MRreviewer = "Olexander S. Babanin",
bibdate = "Tue Oct 30 14:49:05 MDT 2012",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/34/4;
https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Scientific Computing",
journal-URL = "http://epubs.siam.org/sisc",
onlinedate = "January 2012",
}
@Article{Brandt:2015:ADA,
author = "Achi Brandt and James Brannick and Karsten Kahl and
Irene Livshits",
title = "Algebraic distance for anisotropic diffusion problems:
multilevel results",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "44",
pages = "472--496",
year = "2015",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65N55 (65F10)",
MRnumber = "3407230",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
bibdate = "Sat Mar 26 08:22:59 2016",
acknowledgement = ack-nhfb,
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
}
@Article{Brandt:2015:BAM,
author = "Achi Brandt and James Brannick and Karsten Kahl and
Ira Livshits",
title = "Bootstrap algebraic multigrid: status report, open
problems, and outlook",
journal = j-NUM-MATH-THEORY-METHODS-APPL,
volume = "8",
number = "1",
pages = "112--135",
year = "2015",
DOI = "https://doi.org/10.4208/nmtma.2015.w06si",
ISSN = "1004-8979 (print), 2079-7338 (electronic)",
ISSN-L = "1004-8979",
MRclass = "65F10 (65N22 65N55)",
MRnumber = "3395384",
bibdate = "Sat Mar 26 08:22:59 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Mathematics. Theory, Methods and
Applications",
}
@Proceedings{Rice:1977:MSI,
editor = "John R. Rice",
booktitle = "{Mathematical software III: Proceedings of a symposium
conducted by the Mathematics Research Center, the
University of Wisconsin--Madison, March 28--30, 1977}",
title = "{Mathematical software III: Proceedings of a symposium
conducted by the Mathematics Research Center, the
University of Wisconsin--Madison, March 28--30, 1977}",
number = "39",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "ix + 388",
year = "1977",
DOI = "https://doi.org/10.1016/C2013-0-11364-5",
ISBN = "0-12-587260-7",
ISBN-13 = "978-0-12-587260-7",
LCCN = "QA3 .U45 no. 39; QA297 .M36 1977",
bibdate = "Fri Dec 08 08:24:52 1995",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/fparith.bib;
https://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Misc/Bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/unix.bib",
series = "Publication of the Mathematics Research Center, the
University of Wisconsin, Madison",
URL = "https://www.sciencedirect.com/book/9780125872607/mathematical-software",
acknowledgement = ack-nhfb,
shorttableofcontents = "Contributors / / vii \\
Preface / / ix \\
Research, Development, and UNPACK / G. W. Stewart / 1
\\
A Technique that Gains Speed and Accuracy in the
Minimax Solution of Overdetermined Linear Equations /
M. J. Hopper and M. J. D. Powell / 15 \\
Infallible Calculation of Polynomial Zeros to Specified
Precision / G. E. Collins / 35 \\
Representation and Approximation of Surfaces / Robert
E. Barnhill / 69 \\
Simulation: Conflicts between Real-Time and Software /
C. W. Gear / 121 \\
Mathematical Software and Exploratory Data Analysis /
David C. Hoaglin / 139 \\
Software for $C^1$ Surface Interpolation / C. L. Lawson
/ 161 \\
Mathematical Software Production / W. R. Cowell and L.
D. Fosdick / 195 \\
Computational Aspects of the Finite Element Method / I.
Babuska and W. Rheinboldt / 225 \\
The Art of Writing a Runge-Kutta Code, Part I / L. F.
Shampine and H. A. Watts / 257 \\
Multi-Level Adaptive Techniques (MLAT) for Partial
Differential Equations: Ideas and Software / Achi
Brandt / 277 \\
ELLPACK: A Research Tool for Elliptic Partial
Differential Equations Software / John R. Rice / 319
\\
A Realistic Model of Floating-Point Computation / W. S.
Brown / 343 \\
The Block Lanczos Method for Computing Eigenvalues / G.
H. Golub and R. Underwood / 361 \\
Index / / 379",
tableofcontents = "Contributors \\
Preface \\
\\
1: Research, Development, and Linpack \\
Abstract \\
1. Introduction \\
2. Estimation of Condition Numbers \\
3. Stability of Least Squares Solutions \\
4. Scaling and Column Elimination \\
5. Downdating \\
6. Timing the BLAS \\
References \\
\\
2: A Technique That Gains Speed and Accuracy in the
Minimax Solution of Overdetermined Linear Equations \\
Abstract \\
1. Introduction \\
2. Numerical Instability in the Exchange Algorithm \\
3. The New Technique \\
4. Theory \\
5. Discussion \\
References \\
\\
3: Infallible Calculation Of Polynomial Zeros To
Specified Precision \\
Abstract \\
1. Introduction \\
2. Preliminaries \\
3. Sturm Sequences For Real Zeros \\
4. Sturm Sequences For Complex Zeros \\
5. Rolle's Theorem For Real Zeros \\
6. Descartes' Theorem For Real Zeros \\
7. Application of Interval Arithmetic \\
8. Complex Zeros Without Sturm Sequences \\
References \\
\\
4: Representation and Approximation of Surfaces \\
Abstract \\
1. Introduction \\
2. Interpolation Methods Defined Over Rectangles \\
3. Interpolation Schemes Defined Over Triangles \\
4. Interpolation Methods For Arbitrarily Placed Data 5.
Conclusions \\
References \\
Acknowledgements \\
\\
5: Simulation: Conflicts Between Real-Time And Software
\\
Abstract \\
1. Introduction \\
2. Simulation \\
3. Real-Time Operation \\
4. Numerical Integration in Real-Time \\
5. Errors in Numerical Integration \\
6. Methods For Reducing Delay and Improving Stability
\\
7. Conclusions \\
References \\
\\
6: Mathematical Software and Exploratory Data Analysis
\\
Abstract \\
1. Introduction \\
2. Overview of Exploratory Data Analysis \\
3. An Example: Timing Data \\
4. Software Needs of Exploratory Data Analysis \\
5. Summary \\
References \\
\\
7: Software For $C^1$ Surface Interpolation \\
1. Introduction \\
2. Problem Statement \\
3. Expected Applications \\
4. Published Work On Surface Interpolation To
Irregularly Located Data \\
5. Outline of the Algorithmic Approach Selected \\
6. Constructing a Triangular Grid \\
7. Estimating Partial Derivatives At the Grid Nodes \\
8. Lookup in the Triangular Grid \\
9. Interpolation in a Triangle \\
10. Examples \\
11. Three Criteria For Triangulation of a Strictly
Convex Quadrilateral \\
12. Global Consequences of the Local Optimization
Procedure \\
13. Mclain's Triangulation Method \\
14. Limits On Grid Changes When Adding a New Point \\
15. Conclusions \\
References \\
\\
8: Mathematical Software Production \\
Abstract \\
I. Introduction \\
II. The Evolution of Mathematical Software Production
\\
III. Intellectual Challenges \\
IV. Projects To Produce Mathematical Software \\
V. Trends in Mathematical Software Production \\
References \\
\\
9: Computational Aspects of the Finite Element Method
\\
1. Introduction \\
2. Goals of the Computational Analysis \\
3. The Principal Stages of the Computational Analysis
\\
4. Some Software Aspects \\
5. Some Computational Results \\
References",
}
@Proceedings{Gleason:1987:PIC,
editor = "Andrew M. Gleason",
booktitle = "Proceedings of the International Congress of
Mathematicians, 1986: August 3--11, 1986, Berkeley",
title = "Proceedings of the International Congress of
Mathematicians, 1986: August 3--11, 1986, Berkeley",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "various",
year = "1987",
ISBN = "0-8218-0110-4",
ISBN-13 = "978-0-8218-0110-9",
LCCN = "QA1 .I8 1986 v. 1-2",
bibdate = "Mon Sep 09 09:12:20 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "Two volumes",
acknowledgement = ack-nhfb,
}
@Proceedings{Mandel:1989:PFC,
editor = "J. Mandel and S. F. McCormick and J. E. Dendy and C.
Farhat and G. Lonsdale and S. V. Parter and J. W. Ruge
and K. St{\"u}ben",
booktitle = "Proceedings of the Fourth Copper Mountain Conference
on Multigrid Methods",
title = "Proceedings of the Fourth Copper Mountain Conference
on Multigrid Methods",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "438",
year = "1989",
ISBN = "0-89871-248-3",
ISBN-13 = "978-0-89871-248-3",
LCCN = "QA377 .C767 1989",
bibdate = "Sat Sep 10 22:14:58 MDT 1994",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
price = "US\$39.50",
}
@Proceedings{Mandel:1992:SIM,
editor = "Jan Mandel and Graham F. Carey",
booktitle = "Special issue on multigrid methods: from the Fifth
Copper Mountain Conference on Multigrid Methods,
Colorado, April 1991",
title = "Special issue on multigrid methods: from the Fifth
Copper Mountain Conference on Multigrid Methods,
Colorado, April 1991",
volume = "9(9--10)",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "795",
year = "1992",
ISBN = "????",
ISBN-13 = "????",
LCCN = "????",
bibdate = "Mon Sep 09 09:18:06 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib",
note = "Two volumes.",
series = "Communications in applied numerical methods",
acknowledgement = ack-nhfb,
}
