%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Achi Brandt", %%% version = "1.07", %%% date = "16 April 2005", %%% time = "18:16:04 MST", %%% filename = "brandt-achi.bib", %%% address = "Dept. of Applied Mathematics and Computer Science %%% The Weizmann Institute of Science %%% Rehovot %%% Israel", %%% telephone = "?n/a?", %%% FAX = "?n/a?", %%% checksum = "43502 1972 7723 75339", %%% email = "mabrandt at weizmann.weizmann.ac.il (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% Achi Brandt. The companion LaTeX file %%% brandt-achi.ltx can be used to typeset %%% this bibliography. %%% %%% At version 1.07, the year coverage looked %%% like this: %%% %%% 1961 ( 1) 1976 ( 1) 1991 ( 10) %%% 1962 ( 0) 1977 ( 3) 1992 ( 5) %%% 1963 ( 0) 1978 ( 1) 1993 ( 2) %%% 1964 ( 0) 1979 ( 2) 1994 ( 3) %%% 1965 ( 0) 1980 ( 4) 1995 ( 4) %%% 1966 ( 2) 1981 ( 3) 1996 ( 1) %%% 1967 ( 0) 1982 ( 3) 1997 ( 3) %%% 1968 ( 0) 1983 ( 3) 1998 ( 3) %%% 1969 ( 4) 1984 ( 4) 1999 ( 3) %%% 1970 ( 1) 1985 ( 3) 2000 ( 3) %%% 1971 ( 3) 1986 ( 3) 2001 ( 1) %%% 1972 ( 0) 1987 ( 3) 2002 ( 4) %%% 1973 ( 2) 1988 ( 4) 2003 ( 3) %%% 1974 ( 0) 1989 ( 3) 2004 ( 1) %%% 1975 ( 0) 1990 ( 4) %%% 19xx ( 1) %%% %%% Article: 58 %%% Book: 1 %%% InCollection: 9 %%% InProceedings: 29 %%% Proceedings: 3 %%% TechReport: 4 %%% %%% Total entries: 104 %%% %%% This file is available as part of the BibNet %%% Project. The master copy is available for %%% public access on ftp.math.utah.edu in the %%% directory tree /pub/bibnet/authors. It is %%% mirrored to netlib.bell-labs.com in the directory %%% tree /netlib/bibnet/authors, from which it is %%% available via anonymous ftp and the Netlib %%% service. %%% %%% BibTeX citation tags are uniformly chosen %%% as name:year:abbrev, where name is the %%% family name of the first author or editor, %%% year is a 4-digit number, and abbrev is a %%% 3-letter condensation of important title %%% words. Citation tags were automatically %%% generated by software developed for the %%% BibNet Project. %%% %%% In this bibliography, entries are sorted %%% first by ascending year, and within each %%% year, alphabetically by author or editor, %%% and then, if necessary, by the 3-letter %%% abbreviation at the end of the BibTeX %%% citation tag, using the bibsort -byyear %%% utility. %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ==================================================================== %%% ==================================================================== %%% Acknowledgement abbreviations: @String{ack-nhfb = "Nelson H. F. Beebe, Center for Scientific Computing, Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, URL: \path|http://www.math.utah.edu/~beebe/|"} %%% ==================================================================== %%% Journal abbreviations: @String{j-AIAA = "AIAA Journal"} @String{j-APP-MATH-COMP = "Appl. Math. Comp."} @String{j-APP-MECH = "J. Appl. Mech"} @String{j-APPL-MATH-COMP = "Applied Math. Comp."} @String{j-CAS-PEST-MAT = "Cas. Pest. Mat."} @String{j-CLASS-QUANTUM-GRAV = "Class. Quantum Grav."} @String{j-COMP-MATH-APPL = "Computers and Mathematics with Applications"} @String{j-COMP-OP-RES = "Computers and Operations Research"} @String{j-COMP-PHYS = "J. Comput. Phys."} @String{j-COMP-PHYS-COMM = "Computer Physics Communications"} @String{j-ISRAEL-MATH = "Israel J. Math"} @String{j-J-COMPUT-PHYS = "Journal of computational physics"} @String{j-J-PHYS-A = "Journal of Physics A (Mathematical and General)"} @String{j-J-STAT-PHYS = "J. Stat. Phys."} @String{j-MATH-COMPUT = "Math. Comp."} @String{j-MATH-SCAND = "Math. Scand"} @String{j-NUCL-PHYS-B = "Nucl. Phys. B"} @String{j-PHYS-FLUIDS = "Phys. of Fluids"} @String{j-PHYS-LET-B = "Phys. Lett. B"} @String{j-PHYS-REF = "Phys. Ref."} @String{j-PHYS-REV-B = "Phys. Rev. B"} @String{j-PHYS-REV-LET = "Phys. Rev. Lett."} @String{j-QUART-J-ROY-MET-SOC = "Quart. J. Roy. Met. Soc."} @String{j-SIAM-J-APPL-MATH = "SIAM Journal on Applied Mathematics"} @String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and Applications"} @String{j-SIAM-J-NUMER-ANAL = "SIAM J. Num. Anal."} @String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"} @String{j-SIAM-J-SCI-COMP = "SIAM Journal on Scientific Computing"} @String{j-SIAM-J-SCI-STAT-COMP = "SIAM J. Sci.~Stat.~Comput."} @String{j-SIAM-NEWS = "SIAM News"} @String{j-SOIL-SCI-SOC-AMER-PROC = "Soil Sci. Soc. Amer. Proc."} %%% ==================================================================== %%% Publisher abbreviations: @String{pub-AMS = "Amer. Math. Soc."} @String{pub-AMS:adr = "Providence, RI, USA"} @String{pub-AP = "Academic Press"} @String{pub-AP:adr = "New York, NY, USA"} @String{pub-BIRKHAUSER = "Birkh{\"a}user Verlag"} @String{pub-BIRKHAUSER:adr = "Basel"} @String{pub-BOOLE = "Boole Press"} @String{pub-BOOLE:adr = "Dublin, Ireland"} @String{pub-CP = "Clarendon Press"} @String{pub-CP:adr = "Oxford, UK"} @String{pub-CAMBRIDGE = "Cambridge University Press"} @String{pub-CAMBRIDGE:adr = "Cambridge, UK"} @String{pub-DEKKER = "Marcel Dekker"} @String{pub-DEKKER:adr = "New York, NY, USA"} @String{pub-HEMISPHERE = "Hemisphere"} @String{pub-HEMISPHERE:adr = "Washington, DC, USA"} @String{pub-NH = "North-Holland"} @String{pub-NH:adr = "Amsterdam, The Netherlands"} @String{pub-SIAM = "SIAM"} @String{pub-SIAM:adr = "Philadelphia, PA, USA"} @String{pub-SPRINGER = "Springer-Verlag"} @String{pub-SPRINGER:adr = "Berlin, Heidelberg, New York, Tokyo"} @String{pub-SV = "Springer Verlag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-WILEY = "John Wiley and Sons, Inc."} @String{pub-WILEY:adr = "Chichester, UK"} @String{pub-WORLD-SCI = "World Scientific Publishing Co."} @String{pub-WORLD-SCI:adr = "Singapore, Philadelphia, River Edge, NJ"} %%% ==================================================================== %%% Bibliography entries: @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", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @Article{Brandt:1969:AAH, author = "A. Brandt and J. Gillis", title = "Asymptotic approach to {Hartmann Poiseuille} flows", journal = j-COMP-PHYS, volume = "3", number = "523-538", year = "1969", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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 = "ftp://ftp.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 = "ftp://ftp.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 = "ftp://ftp.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 = "ftp://ftp.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 = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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 = "ftp://ftp.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 = "ftp://ftp.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", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", classcodes = "B0220 (Mathematical analysis); C1120 (Mathematical analysis)", corpsource = "Weizmann Inst. Sci., Rehovot, Israel", 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", LCCN = "QA901 .I471 1972", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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 = "ftp://ftp.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", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "JSTOR database; Misc/Reverse.eng.bib; Parallel/mgnet.bib; Parallel/Multi.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib; ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", classcodes = "C4170 (Differential equations)", corpsource = "Dept. of Math., Weizmann Inst. of Sci., Rehovot, Israel", keywords = "adaptive solutions; boundary value problems; boundary-value problems; multilevel", treatment = "T Theoretical or Mathematical", } @InProceedings{Brandt:1977:MLAb, author = "A. Brandt", editor = "John R. Rice", booktitle = "Mathematical Software III", title = "Multi-level adaptive techniques ({MLAT}) for partial differential equations: ideas and software", publisher = pub-AP, address = pub-AP:adr, pages = "273--314 (of ix + 388)", year = "1977", ISBN = "0-12-587260-7", LCCN = "QA297 .M36 1977", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", LCCN = "TJ267 .P66 1976", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", LCCN = "QA374 .A38 1978", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", LCCN = "QA371 .N79 1978", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @Article{Brandt:1980:MGM, author = "A. Brandt and J. E. {Dendy, Jr.} and H. Ruppel", title = "The multi-grid method for semi-implicit hydrodynamics codes", journal = j-COMP-PHYS, volume = "34", pages = "348--370", year = "1980", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", LCCN = "QA320 .S62 1979", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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 = "ftp://ftp.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", LCCN = "QA913 .B68 1980", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", pages = "430--454", year = "1981", CODEN = "SIJCD4", ISSN = "0196-5204", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", LCCN = "QA377 .E53 1980", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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 = "ftp://ftp.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 = "ftp://ftp.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", LCCN = "TA357.N87 1982", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", LCCN = "QA297 .E53 1981", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", bibdate = "Fri Feb 28 11:37:53 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @Article{Brandt:1983:MGA, author = "A. Brandt and C. W. Cryer", title = "Multi-grid algorithms for the solution of linear complementarity problems arising from free boundary problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", pages = "655--684", year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @Article{Brandt:1983:MGM, author = "A. Brandt and S. McCormick and J. Ruge", title = "Multi-grid methods for differential eigenproblems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "4", number = "244-260", year = "1983", CODEN = "SIJCD4", ISSN = "0196-5204", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", LCCN = "QA188.S58 1985", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", LCCN = "QA377 .I44 1983", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @InProceedings{Brandt:1984:LML, 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 = "ftp://ftp.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", bibsource = "ftp://ftp.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", LCCN = "QA431 .M751 1985", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", price = "US\$36.40", } @Article{Brandt:1985:ISM, author = "A. Brandt and S. R. Fulton and G. D. Taylor", title = "Improved spectral multigrid methods for periodic elliptic problems", journal = j-COMP-PHYS, volume = "58", number = "1", pages = "96--112", year = "1985", MRclass = "65N20 (65F10 65N50)", MRnumber = "86i:65062", MRreviewer = "Claudio Canuto", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", LCCN = "QA911 .U21 1984", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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 = "ftp://ftp.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", LCCN = "QA3 .L35 v.1228", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", LCCN = "QA3 .L35 v.1228", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", pages = "109--134", year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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 = "ftp://ftp.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", LCCN = "QA377 .M9431 1988", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", LCCN = "QA377 .M9431 1988", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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 = "ftp://ftp.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, volume = "40", pages = "330--344", year = "1989", CODEN = "PLRBAQ", ISSN = "0556-2805", bibdate = "Mon Sep 09 09:34:17 1996", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", bibdate = "Sun Sep 8 09:38:09 1996", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @Article{Brandt:1990:MMM, 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", year = "1990", CODEN = "JCTPAH", ISSN = "0021-9991", MRclass = "65R20 (65D30 65Y20)", MRnumber = "MR1071880 (91j:65194)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "Journal of Computational Physics", } @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", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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", LCCN = "QA377 .C767 1989", bibdate = "Mon Sep 09 09:34:08 1996", bibsource = "ftp://ftp.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", LCCN = "QA377.C7628 1991", MRclass = "65M55 (76M25)", MRnumber = "MR1131552", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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 = "ftp://ftp.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", MRclass = "76M20 (76D05)", MRnumber = "MR1097117 (91m:76075)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "Journal of Computational Physics", } @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", year = "1991", CODEN = "CPHCBZ", ISSN = "0010-4655", MRclass = "65F05 (65T20 65Y05)", MRnumber = "MR1104960 (92f:65038)", MRreviewer = "L. Berg", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "Computer Physics Communications. An International Journal and Program Library for Computational Physics and Physical Chemistry", } @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", LCCN = "QA377.C7628 1991", MRclass = "65M55", MRnumber = "MR1131553", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", note = "(Proc. Suppl.)", } @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 = "ftp://ftp.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", LCCN = "QA377.C7628 1991", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.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 = "Birkh{\"a}user", address = "Basel", pages = "91--103", year = "1991", MRclass = "65N55 (76F99 76M20)", MRnumber = "MR1131550 (92f:65152)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.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 = "ftp://ftp.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", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", note = "Proc. Suppl.", } @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", LCCN = "QA402.2 .I55 1992", bibdate = "Mon Jul 11 14:49:01 MDT 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @Article{Brandt:1992:MSH, 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", year = "1992", CODEN = "JCTPAH", ISSN = "0021-9991", MRclass = "76M25 (65M55 76D05 76M20)", MRnumber = "MR1173343 (93d:76046)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "Journal of Computational Physics", } @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", MRclass = "76M20 (65N55 76D99)", MRnumber = "MR1214772 (94d:76056)", MRreviewer = "Max D. Gunzburger", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "SIAM Journal on Scientific Computing", } @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", MRclass = "65M55", MRnumber = "93i:65091", bibdate = "Mon Jan 20 15:27:00 MST 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @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 = "ftp://ftp.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\slash 2", pages = "313--348", month = jan, year = "1994", CODEN = "JSTPSB", ISSN = "0022-4715", bibdate = "Mon Sep 9 10:05:14 MDT 1996", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", 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 /sup -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 = "A0550 (Lattice theory and statistics; Ising problems); A0540 (Fluctuation phenomena, random processes, and Brownian motion); C7320 (Physics and Chemistry); C1140G (Monte Carlo methods); C4240 (Programming and algorithm theory); C1180 (Optimisation techniques)", keywords = "Thermodynamic limits; Optimal multigrid algorithms; Critical slowing down; Statistical deviations; Computer operations; Sigma -susceptibility; Average energy; Critical temperature; Two-dimensional Ising spin model; Gaussian model; XY model", language = "English", 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", MRclass = "65N55 (65N22)", MRnumber = "95i:65171", MRreviewer = "H. P. Dikshit", bibdate = "Mon Jan 20 15:27:00 MST 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", acknowledgement = ack-nhfb, } @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", bibdate = "Mon Sep 9 09:53:18 MDT 1996", bibsource = "ftp://ftp.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 = "A7510H (Ising and other classical spin models (magnetism)); A0550 (Lattice theory and statistics; Ising problems); A7540C (Static properties of magnetic materials); A7530K (Magnetic phase boundaries)", keywords = "Triangular lattice; Three-state Potts antiferromagnetic model; Weak first-order transition; Analytic arguments; 2D nearest-neighbour Potts model; Ordered phase; Critical point; Glassy behaviour; Second-order transition; Dilution; Cluster method; Histogram reweighting analysis; Series expansion", language = "English Copyright 1995, IEE", 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", MRclass = "82B20 (82-04 82B27)", MRnumber = "MR1364125", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "Journal of Physics. A. Mathematical and General", } @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 = "ftp://ftp.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", MRclass = "65N55 (65B99)", MRnumber = "MR1311675 (95j:65156)", MRreviewer = "Svetozar D. Margenov", bibdate = "Mon Sep 9 10:00:42 MDT 1996", bibsource = "ftp://ftp.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 = "B0290P (Differential equations); B0290F (Interpolation and function approximation); C4170 (Differential equations); C4130 (Interpolation and function approximation)", keywords = "Multigrid itinerant recombination; Multigrid algorithms; Small islands; Nearly singular problems; Multigrid asymptotic convergence rate; Badly approximated components; Polynomial acceleration", 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\slash 6", pages = "1503--??", month = "????", year = "1996", CODEN = "JSTPSB", ISSN = "0022-4715", bibdate = "Mon Sep 09 09:46:04 1996", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", } @Article{Brandt:1997:GCR, author = "Achi Brandt", title = "The {Gauss} {Center} research in multiscale scientific computation", journal = "Electron. Trans. Numer. Anal.", volume = "6", number = "Dec.", pages = "1--34 (electronic)", year = "1997", ISSN = "1068-9613", MRclass = "65-03 (01A65)", MRnumber = "MR1615153 (99a:65002)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", note = "Special issue on multilevel methods (Copper Mountain, CO, 1997)", fjournal = "Electronic Transactions on Numerical Analysis", } @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", MRclass = "86A10 (65R10 86-08)", MRnumber = "MR1443650 (98a:86009)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "SIAM Journal on Scientific Computing", } @Article{Brandt:1997:WRM, author = "A. Brandt and I. Livshits", title = "Wave-ray multigrid method for standing wave equations", journal = "Electron. Trans. Numer. Anal.", volume = "6", number = "Dec.", pages = "162--181 (electronic)", year = "1997", ISSN = "1068-9613", MRclass = "65N55", MRnumber = "MR1615163 (99d:65342)", MRreviewer = "Dietrich Braess", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", note = "Special issue on multilevel methods (Copper Mountain, CO, 1997)", fjournal = "Electronic Transactions on Numerical Analysis", } @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 (electronic)", year = "1998", CODEN = "SJOCE3", ISSN = "1095-7197", MRclass = "65R10 (65R20)", MRnumber = "MR1618812 (99a:65185)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "SIAM Journal on Scientific Computing", } @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 = "ftp://ftp.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 (electronic)", year = "1998", CODEN = "SJOCE3", ISSN = "1095-7197", MRclass = "65N55 (65N12 76D05 76M20)", MRnumber = "MR1616880 (99d:65358)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.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", } @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 (electronic)", year = "1999", CODEN = "SJOCE3", ISSN = "1095-7197", MRclass = "65D30", MRnumber = "MR1691047 (2000b:65038)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "SIAM Journal on Scientific Computing", } @Article{Brandt:1999: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 (electronic)", year = "1999/00", CODEN = "SJOCE3", ISSN = "1095-7197", MRclass = "65N55", MRnumber = "MR1740400 (2001b:65136)", MRreviewer = "Luciano Biasini", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "SIAM Journal on Scientific Computing", } @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 (electronic)", year = "1999", CODEN = "SJOCE3", ISSN = "1095-7197", MRclass = "65N55 (76H05 76M20)", MRnumber = "MR1718647 (2000h:65177)", MRreviewer = "Ma{\l}gorzata Peszy{\'n}ska", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "SIAM Journal on Scientific Computing", } @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, year = "19xx", CODEN = "SIJCD4", ISSN = "0196-5204", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", note = "Submitted", } @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 (electronic)", year = "2000", CODEN = "SMJMAP", ISSN = "1095-712X", MRclass = "92C55 (44A12 65R10)", MRnumber = "MR1740254 (2001a:92016)", MRreviewer = "Fritz Keinert", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "SIAM Journal on Applied Mathematics", } @Article{Brandt:2000:GHA, author = "Achi Brandt", title = "General highly accurate algebraic coarsening", journal = "Electron. Trans. Numer. Anal.", volume = "10", pages = "1--20 (electronic)", year = "2000", ISSN = "1068-9613", MRclass = "65F10 (65N22 65N55)", MRnumber = "MR1760015 (2001a:65036)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", note = "Multilevel methods (Copper Mountain, CO, 1999)", fjournal = "Electronic Transactions on Numerical Analysis", } @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 (electronic)", year = "2000", CODEN = "SJOCE3", ISSN = "1095-7197", MRclass = "65M55 (76M25 76U05)", MRnumber = "MR1762047 (2001a:65115)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "SIAM Journal on Scientific Computing", } @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", MRclass = "65-02 (65F10 65M55 65N22 65N55)", MRnumber = "MR1807961 (2002b:65002)", MRreviewer = "Dietrich Braess", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.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", MRclass = "65-02", MRnumber = "MR1928564 (2003i:65002)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.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", MRclass = "65N25 (81Q05)", MRnumber = "MR1928574", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.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 (electronic)", year = "2002", CODEN = "SJMAEL", ISSN = "1095-7162", MRclass = "65H05 (65F15 68Q25)", MRnumber = "MR1951129 (2003m:65076)", MRreviewer = "Brian Bradie", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "SIAM Journal on Matrix Analysis and Applications", } @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 = "ftp://ftp.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 = "ftp://ftp.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", year = "2003", MRclass = "90C30 (65N55 68W25)", MRnumber = "MR2021995", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.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", MRclass = "76M25 (65M50)", MRnumber = "MR1967016 (2004b:76118)", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.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-COMP-MATH-APPL, volume = "47", number = "2-3", pages = "301--317", year = "2004", CODEN = "CMAPDK", ISSN = "0898-1221", MRclass = "65N22 (65N55)", MRnumber = "MR2047945 (2005d:65196)", MRreviewer = "Dietrich Braess", bibdate = "Sat Apr 16 18:04:31 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", fjournal = "Computers \& Mathematics with Applications. An International Journal", } %%% ==================================================================== %%% Cross-referenced entries must come last: @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", LCCN = "QA1 .I8 1986 v. 1-2", bibdate = "Mon Sep 09 09:12:20 1996", bibsource = "ftp://ftp.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", LCCN = "QA377 .C767 1989", bibdate = "Sat Sep 10 22:14:58 MDT 1994", bibsource = "ftp://ftp.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 = "????", LCCN = "????", bibdate = "Mon Sep 09 09:18:06 1996", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/b/brandt-achi.bib", note = "Two volumes.", series = "Communications in applied numerical methods", acknowledgement = ack-nhfb, }