%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Lloyd Nicholas Trefethen", %%% version = "2.05", %%% date = "09 July 2009", %%% time = "17:00:03 MDT", %%% filename = "trefethen-lloyd-n.bib", %%% address = "Oxford University Computing Laboratory, %%% Wolfson Building, Parks Road, %%% Oxford OX1 3QD, %%% UK", %%% telephone = "+44 (0)1865 273886", %%% FAX = "+44 (0)1865 273839", %%% URL = "http://www.comlab.ox.ac.uk/oucl/people/nick.trefethen.html", %%% checksum = "32056 4214 16271 168624", %%% email = "nick.trefethen at comlab.ox.ac.uk (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "numerical analysis", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications of %%% Lloyd Nicholas Trefethen. The companion %%% LaTeX file trefethen-lloyd-nicholas.ltx can %%% be used to typeset this bibliography. %%% %%% At version 2.05, the year coverage looked %%% like this: %%% %%% 1977 ( 1) 1988 ( 7) 1999 ( 13) %%% 1978 ( 0) 1989 ( 2) 2000 ( 7) %%% 1979 ( 0) 1990 ( 8) 2001 ( 10) %%% 1980 ( 4) 1991 ( 2) 2002 ( 23) %%% 1981 ( 5) 1992 ( 10) 2003 ( 3) %%% 1982 ( 4) 1993 ( 4) 2004 ( 4) %%% 1983 ( 13) 1994 ( 5) 2005 ( 4) %%% 1984 ( 14) 1995 ( 1) 2006 ( 5) %%% 1985 ( 6) 1996 ( 6) 2007 ( 4) %%% 1986 ( 11) 1997 ( 5) 2008 ( 3) %%% 1987 ( 4) 1998 ( 8) %%% 19xx ( 2) %%% %%% Article: 124 %%% Book: 9 %%% InCollection: 5 %%% InProceedings: 19 %%% MastersThesis: 1 %%% Misc: 7 %%% PhdThesis: 1 %%% Proceedings: 20 %%% TechReport: 11 %%% Unpublished: 1 %%% %%% Total entries: 198 %%% %%% This file is available as part of the BibNet %%% Project.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. %%% %%% 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, 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|"} %%% ==================================================================== %%% Institute abbreviations: @String{inst-CS-CORNELL = "Dept. of Comp. Sci., Cornell University"} @String{inst-CS-CORNELL:adr = "Ithaca, NY, USA"} @String{inst-MATH-MIT = "Dept. of Mathematics, MIT"} @String{inst-MATH-MIT:adr = "Cambridge, MA, USA"} %%% ==================================================================== %%% Journal abbreviations: @String{j-ACOUST-SOC-AMER = "J. Acoust. Soc. Amer."} @String{j-AMER-MATH-MONTHLY = "Amer. Math. Monthly"} @String{j-APPL-MECH-REV = "Applied Mechanics Reviews"} @String{j-BIT = "BIT"} @String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"} @String{j-BULL-AMS = "Bull. Amer. Math. Soc."} @String{j-BULL-AMS-N-S = "Bull. Amer. Math. Soc. (N.S.)"} @String{j-COMM-PURE-APPL-MATH = "Comm. Pure Appl. Math."} @String{j-COMPUT-METH-APPL-MECH-ENG = "Comput. Meth. Appl. Mech. Engin."} @String{j-COMPUT-METH-FUNCT-THEORY = "Computational Methods and Function Theory"} @String{j-CONST-APPROX = "Constructive Approximation"} @String{j-DOC-MATH = "Documenta Mathematica"} @String{j-FLUID-MECH = "J. Fluid Mech."} @String{j-GEOPHYSICS = "Geophysics"} @String{j-IEEE-ACOUST-SPEECH = "IEEE Trans. Acoust., Speech, and Signal Process."} @String{j-IMA-J-NUMER-ANAL = "IMA J. Numer. Anal."} @String{j-J-ACOUST-SOC-AM = "Journal of the Acoustical Society of America"} @String{j-J-APPROX-THEORY = "Journal of Approximation Theory"} @String{j-J-COMP-APPL-MATH = "Journal of Computational and Applied Mathematics"} @String{j-J-COMPUT-PHYS = "Journal of Computational Physics"} @String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and its Applications"} @String{j-MATH-COMPUT = "Math. Comp."} @String{j-MATH-COMPUT-SCI = "Mathematics in Computer Science"} @String{j-MATH-PHYSICS = "Math. Phys."} @String{j-NUM-MATH = "Num. Math"} @String{j-PHYS-FLUIDS = "Physics of Fluids"} @String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI = "Proceedings of the Royal Society A: Mathematical, Physical, \& Engineering Sciences"} @String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI = "Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences"} @String{j-SCIENCE = "Science"} @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-MATH-ANA = "SIAM Journal on Mathematical Analysis"} @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-SIAM-REVIEW = "SIAM Review"} @String{j-SIGNUM = "SIGNUM Newsletter"} @String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical Society"} @String{j-Z-ANGE-MATH-PHYS = "{Zeitschrift f{\"u}r Angewandte Mathematik und Physik = Journal of Applied Mathematics and Physics}"} %%% ==================================================================== %%% 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"} @String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel, Switzerland"} @String{pub-CAMBRIDGE = "Cambridge University Press"} @String{pub-CAMBRIDGE:adr = "Cambridge, UK"} @String{pub-CHAPMAN-HALL = "Chapman and Hall"} @String{pub-CHAPMAN-HALL:adr = "London, England"} @String{pub-CLARENDON-PRESS = "Clarendon Press"} @String{pub-CLARENDON-PRESS:adr = "Oxford, UK"} @String{pub-ELS = "Elsevier Science Publishers"} @String{pub-ELS:adr = "Amsterdam, The Netherlands"} @String{pub-IMACS = "IMACS"} @String{pub-IMACS = "IMACS"} @String{pub-IMACS:adr = "Department of Computer Science, Rutgers University, New Brunswick, NJ, USA"} @String{pub-IMACS:adr = "Department of Computer Science, Rutgers University, New Brunswick, NJ"} @String{pub-LONGMAN = "Longman Scientific and Technical"} @String{pub-LONGMAN:adr = "Harlow, Essex"} @String{pub-NH = "North-Holland Publishing Co."} @String{pub-NH:adr = "Amsterdam, The Netherlands"} @String{pub-PH = "Prentice-{Hall}"} @String{pub-PH:adr = "Englewood Cliffs, NJ 07632, USA"} @String{pub-PRINCETON = "Princeton University Press"} @String{pub-PRINCETON:adr = "Princeton, NJ, USA"} @String{pub-REIDEL = "D. Reidel"} @String{pub-REIDEL:adr = "Dordrecht, Boston, Lancaster, Tokyo"} @String{pub-SIAM = "Society for Industrial and Applied Mathematics"} @String{pub-SIAM:adr = "Philadelphia, PA, USA"} @String{pub-SV = "Springer Verlag"} @String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-US-ARO = "U.S. Army Research Office"} @String{pub-US-ARO:adr = "Research Triangle Park, NC, USA"} %%% ==================================================================== %%% Series abbreviations: @String{ser-LNM = "Lecture Notes in Mathematics"} %%% ==================================================================== %%% Bibliography entries, sorted by year and then by citation label: @MastersThesis{Trefethen:1977:CAP, author = "Lloyd N. Trefethen", title = "{Chebyshev} Approximation by Polynomials in the Complex Plane", type = "{Undergraduate} thesis", school = "Harvard University", address = "Cambridge, MA, USA", month = may, year = "1977", bibdate = "Tue Jan 03 15:36:24 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @InProceedings{Trefethen:1980:CAS, author = "Lloyd N. Trefethen", title = "Computation and application of {Schwarz--Christoffel} transformations", crossref = "Anonymous:1980:PAN", volume = "3", pages = "165--171", year = "1980", MRclass = "30C30 (65E05)", MRnumber = "MR601632 (82d:30012)", MRreviewer = "D. Gaier", bibdate = "Sat Dec 9 12:43:58 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, classmath = "*30C30 Numerical methods in conformal mapping theory 65E05 Numerical methods in complex analysis", keywords = "applications to fluids and electrical problems; computation and application of Schwarz-Christoffel transformations; numerical conformal mapping", ZMnumber = "0485.30007", } @Article{Trefethen:1980:ENC, author = "Lloyd N. Trefethen", title = "Erratum: {``Numerical computation of the Schwarz--Christoffel transformation''}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "2", pages = "302", year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "MR594762 (81g:30012b)", MRreviewer = "N. Papamichael", bibdate = "Sat Dec 9 12:44:53 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See \cite{Trefethen:1980:NCS}.", acknowledgement = ack-nhfb, fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", } @Article{Trefethen:1980:NCS, author = "Lloyd N. Trefethen", title = "Numerical computation of the {Schwarz--Christoffel} transformation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "1", number = "1", pages = "82--102", year = "1980", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C30 (65E05)", MRnumber = "MR572542 (81g:30012a)", MRreviewer = "N. Papamichael", bibdate = "Sat Dec 9 12:46:25 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See erratum \cite{Trefethen:1980:ENC}.", acknowledgement = ack-nhfb, fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", keywords = "conformal mapping of polygons; Schwarz-Christoffel transformation", ZMnumber = "0451.30004", } @InProceedings{Trefethen:1981:CAS, author = "Lloyd N. Trefethen", title = "Computer application of the {Schwarz--Christoffel} transformation", crossref = "Butzer:1981:BCI", pages = "263--274", year = "1981", MRclass = "65E05 (30C30 65F15 65H10 65L05)", MRnumber = "MR661071 (83f:65036)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", classmath = "*30C30 Numerical methods in conformal mapping theory", keywords = "numerical conformal mapping; Schwarz-Christoffel transformation", ZMnumber = "0476.30007", } @Article{Trefethen:1981:NCC, author = "Lloyd N. Trefethen", title = "Near-circularity of the curve in complex {Chebyshev} approximation", journal = j-J-APPROX-THEORY, volume = "31", number = "4", pages = "344--367", year = "1981", CODEN = "JAXTAZ", ISSN = "0021-9045", MRclass = "41A10 (30E10 65E05)", MRnumber = "MR628517 (83e:41011)", MRreviewer = "Hans-Peter Blatt", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Journal of Approximation Theory", xxtitle = "Near-circularity of the error curve in complex {Chebyshev} approximation", } @Article{Trefethen:1981:NCE, author = "Lloyd N. Trefethen", title = "Near-circularity of the error curve in complex {Chebyshev} approximation", journal = j-J-APPROX-THEORY, volume = "31", number = "4", pages = "344--367", year = "1981", CODEN = "JAXTAZ", ISSN = "0021-9045", bibdate = "Sat Dec 9 12:47:02 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, classmath = "*41A10 Approximation by polynomials 30E10 Approximation in the complex domain 41A50 Best approximation 41A20 Approximation by rational functions", keywords = "error curve; near-circularity phenomenon", ZMnumber = "0462.41004", } @Article{Trefethen:1981:RCA, author = "Lloyd N. Trefethen", title = "Rational {Chebyshev} approximation on the unit disk", journal = j-NUM-MATH, volume = "37", number = "2", pages = "297--320", year = "1981", CODEN = "NUMMA7", ISSN = "0029-599X", MRclass = "30E10 (41A50 65D15)", MRnumber = "MR623046 (83c:30038)", MRreviewer = "Volker Klotz", bibdate = "Sat Dec 9 12:47:16 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, classmath = "*30E10 Approximation in the complex domain 30D50 Blaschke products, etc. 41A50 Best approximation", fjournal = "Numerische Mathematik", keywords = "rational Chebyshev approximation on unit disk", ZMnumber = "0443.30046", } @Article{Gutknecht:1982:RPC, author = "Martin H. Gutknecht and Lloyd N. Trefethen", title = "Real polynomial {Chebyshev} approximation by the {Carath{`e}odory--Fej{\'e}r} method", journal = j-SIAM-J-NUMER-ANAL, volume = "19", number = "2", pages = "358--371", month = apr, year = "1982", CODEN = "SJNAAM", ISSN = "0036-1429", MRclass = "41A10 (41A50)", MRnumber = "MR650056 (83d:41006)", MRreviewer = "Jean Tzimbalario", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; JSTOR database", acknowledgement = ack-nhfb, classmath = "*41A50 Best approximation 41A10 Approximation by polynomials", fjournal = "SIAM Journal on Numerical Analysis", keywords = "Caratheodory-Fejer theorem; complex Chebyshev approximation; Hankel matrix of Taylor coefficients", ZMnumber = "0491.41026", } @Article{Trefethen:1982:GVF, author = "Lloyd N. Trefethen", title = "Group velocity in finite difference schemes", journal = j-SIAM-REVIEW, volume = "24", number = "2", pages = "113--136", month = apr, year = "1982", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", MRclass = "65P05 (76-08)", MRnumber = "MR652463 (83b:65141)", bibdate = "Mon Jan 20 09:20:15 MST 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; ftp://ftp.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, classmath = "*65N12 Stability and convergence of numerical methods (BVP of PDE) 35L05 Wave equation 35L20 Second order hyperbolic equations, boundary value problems 35L50 First order hyperbolic systems, boundary value problems 35L65 Conservation laws 65N06 Finite difference methods (BVP of PDE) 76B15 Wave motions (fluid mechanics)", fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", keywords = "computational examples; group velocity; Lax- Wendroff; motion of parasitic waves; nondissipative, linear waves; numerically-induced anisotropy of waves; phase velocity; propagation of pulses; stability theory", ZMnumber = "0487.65055", } @PhdThesis{Trefethen:1982:WPS, author = "Lloyd Nicholas Trefethen", title = "Wave Propagation and Stability for Finite Difference Schemes", type = "{Ph.D.} thesis", school = "Stanford University", address = "Stanford, CA, USA", pages = "208", year = "1982", bibdate = "Tue Jan 03 11:48:14 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Gutknecht:1983:NBR, author = "Martin H. Gutknecht and Lloyd N. Trefethen", title = "Nonuniqueness of best rational {Chebyshev} approximations on the unit disk", journal = j-J-APPROX-THEORY, volume = "39", number = "3", pages = "275--288", year = "1983", CODEN = "JAXTAZ", ISSN = "0021-9045", MRclass = "30E10 (41A20)", MRnumber = "MR720942 (85d:30056)", MRreviewer = "Hans-Peter Blatt", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Journal of Approximation Theory", } @Article{Gutknecht:1983:RCC, author = "Martin H. Gutknecht and Lloyd N. Trefethen", title = "Real and complex {Chebyshev} approximation on the unit disk and interval", journal = "Bull. Amer. Math. Soc. (N.S.)", volume = "8", number = "3", pages = "455--458", year = "1983", CODEN = "BAMOAD", ISSN = "0273-0979", MRclass = "30E10 (41A20)", MRnumber = "MR693961 (84d:30068)", MRreviewer = "Jean Tzimbalario", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "American Mathematical Society. Bulletin. New Series", } @InProceedings{Trefethen:1983:CAU, author = "Lloyd N. Trefethen", title = "{Chebyshev} approximation on the unit disk", crossref = "Werner:1983:CAC", pages = "309--323", year = "1983", MRclass = "65D15 (30E10)", MRnumber = "MR712902 (84k:65017)", bibdate = "Sat Dec 09 12:15:45 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Trefethen:1983:CEC, author = "Lloyd N. Trefethen", title = "Circularity of the error curve and sharpness of the {CF} method in complex {Chebyshev} approximation", journal = j-SIAM-J-NUMER-ANAL, volume = "20", number = "6", pages = "1258--1263", month = dec, year = "1983", CODEN = "SJNAAM", ISSN = "0036-1429", MRclass = "41A20 (30E10 65D15)", MRnumber = "MR723844 (85f:41011)", MRreviewer = "D. S. Lubinsky", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; JSTOR database", acknowledgement = ack-nhfb, classmath = "*41A50 Best approximation 30E10 Approximation in the complex domain", fjournal = "SIAM Journal on Numerical Analysis", keywords = "Carath{\'e}odory-Fej{\'e}r method; near-circularity; rational Chebyshev approximation problem", reviewer = "D.N.Zarnadze", ZMnumber = "0551.41042", } @Article{Trefethen:1983:CFC, author = "Lloyd N. Trefethen and M. H. Gut\-Knecht and J. O. Smith", title = "The {Carath\'eodory-Fej\'er} ({CF}) method for recursive digital filter design", journal = j-IEEE-ACOUST-SPEECH, volume = "ASSP-31", pages = "1417--1426", year = "1983", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Article{Trefethen:1983:CFM, author = "Lloyd N. Trefethen and Martin H. Gutknecht", title = "The {Carath{\'e}odory--Fej{\'e}r} method for real rational approximation", journal = j-SIAM-J-NUMER-ANAL, volume = "20", number = "2", pages = "420--436", month = apr, year = "1983", CODEN = "SJNAAM", ISSN = "0036-1429", MRclass = "41A20 (41A50)", MRnumber = "MR694530 (85g:41024)", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @Article{Trefethen:1983:GVI, author = "Lloyd N. Trefethen", title = "Group velocity interpretation of the stability theory of {Gustafsson}, {Kreiss}, and {Sundstr{\"o}m}", journal = j-J-COMPUT-PHYS, volume = "49", number = "2", pages = "199--217", year = "1983", CODEN = "JCTPAH", ISSN = "0021-9991", MRclass = "65M10 (76-08)", MRnumber = "MR699214 (84e:65096)", bibdate = "Sat Dec 9 12:49:31 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", } @Article{Trefethen:1983:NBR, author = "Lloyd N. Trefethen and M.~H. Gut\-Knecht", title = "Nonuniqueness of best rational {Chebyshev} approximations on the unit disk", journal = j-J-APPROX-THEORY, volume = "39", number = "3", pages = "275--288", year = "1983", CODEN = "JAXTAZ", ISSN = "0021-9045", bibdate = "Sat Dec 9 12:50:20 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Trefethen:1983:RCCa, author = "Lloyd N. Trefethen and M.~H. Gut\-Knecht", title = "Real and complex {Chebyshev} approximation on the unit disk and interval", journal = j-BULL-AMS, volume = "8", number = "3", pages = "455--458", year = "1983", bibdate = "Sat Dec 9 12:50:32 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @InProceedings{Trefethen:1983:RCCb, author = "Lloyd N. Trefethen and Martin H. Gutknecht", title = "Real and complex {Chebyshev} approximation on the unit disk and interval", crossref = "Chui:1983:ATI", pages = "712--722", year = "1983", MRclass = "41A50 (30E10)", MRnumber = "MR754419", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", classmath = "41A50 Best approximation; 30E10 Approximation in the complex domain", ZMnumber = "0557.41020", } @Article{Trefethen:1983:RVC, author = "Lloyd N. Trefethen and Martin H. Gutknecht", title = "Real vs. complex rational {Chebyshev} approximation on an interval", journal = j-TRANS-AM-MATH-SOC, volume = "280", number = "2", pages = "555--561", year = "1983", CODEN = "TAMTAM", ISSN = "0002-9947", MRclass = "41A25 (41A50)", MRnumber = "MR716837 (85h:41045)", bibdate = "Sat Dec 9 12:50:47 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, fjournal = "Transactions of the American Mathematical Society", } @InProceedings{Gutknecht:1984:RVC, author = "Martin H. Gutknecht and Lloyd N. Trefethen", title = "Real vs. complex rational {Chebyshev} approximation on complex domains", crossref = "Collatz:1984:WNM", pages = "87--97", year = "1984", MRclass = "41A50", MRnumber = "MR757011 (85h:41067)", MRreviewer = "Jean Tzimbalario", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Article{LeVeque:1984:RCK, author = "Randall J. LeVeque and Lloyd N. Trefethen", title = "On the resolvent condition in the {Kreiss Matrix Theorem}", journal = j-BIT, volume = "24", number = "4", pages = "584--591", year = "1984", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835", MRclass = "39A11 (15A45 30A10 65F30)", MRnumber = "MR764830 (86c:39004)", MRreviewer = "Thomas H. Foregger", bibdate = "Fri Nov 13 11:51:59 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, classmath = "*15A60 Appl. of functional analysis to matrix theory 65F35 Matrix norms, etc. (numerical linear algebra) 15A45 Miscellaneous inequalities involving matrices", fjournal = "BIT. Nordisk Tidskrift for Informationsbehandling (BIT)", keywords = "Kreiss matrix theorem; matrix exponentials; matrix norm; power boundedness; resolvent condition; resolvent estimate", ZMnumber = "0559.15018", ZMreviewer = "F.J.Gaines", } @Article{Trefethen:1984:AAR, author = "Lloyd N. Trefethen", title = "The asymptotic accuracy of rational best approximations to {$e^z$} on a disk", journal = j-J-APPROX-THEORY, volume = "40", number = "4", pages = "380--383", year = "1984", CODEN = "JAXTAZ", ISSN = "0021-9045", MRclass = "41A20 (30E10 41A21)", MRnumber = "MR740651 (85j:41031)", MRreviewer = "A. J. Rodrigues", bibdate = "Sat Dec 9 12:51:07 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Approximation Theory", } @Article{Trefethen:1984:ADP, author = "Lloyd N. Trefethen and Z. Angew", title = "Analysis and design of polygonal resistors by conformal mapping", journal = j-Z-ANGE-MATH-PHYS, volume = "35", number = "5", pages = "692--704", year = "1984", CODEN = "AZMPA8", ISSN = "0044-2275", MRclass = "78A55", MRnumber = "MR767435 (86b:78025)", bibdate = "Sat Dec 9 12:51:42 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und Physik. ZAMP. Journal of Applied Mathematics and Physics. Journal de Math\'ematiques et de Physique Appliqu\'ees", } @InProceedings{Trefethen:1984:IDD, author = "Lloyd N. Trefethen", title = "On $\ell^p$-instability and dispersion at discontinuities in finite difference schemes", crossref = "Vichnevetsky:1984:ACM", pages = "??--??", year = "1984", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Article{Trefethen:1984:IDM, author = "Lloyd N. Trefethen", title = "Instability of difference models for hyperbolic initial-boundary value problems", journal = j-COMM-PURE-APPL-MATH, volume = "37", number = "3", pages = "329--367", year = "1984", CODEN = "CPAMAT", ISSN = "0010-3640", MRclass = "65M10", MRnumber = "MR739924 (86f:65162)", MRreviewer = "Bonita Bowman", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Communications on Pure and Applied Mathematics", } @Article{Trefethen:1984:IFD, author = "Lloyd N. Trefethen", title = "Instability of finite difference models for hyperbolic initial boundary value problems", journal = j-COMM-PURE-APPL-MATH, volume = "24", number = "3", pages = "329--367", year = "1984", CODEN = "CPAMAT, CPMAMV", ISSN = "0010-3640", bibdate = "Sat Dec 9 12:52:08 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Trefethen:1984:PSA, author = "Lloyd N. Trefethen and Randall J. LeVeque and L. E. Mattics and L. Richard Duffy", title = "Problems and Solutions: Advanced Problems: 6460--6462", journal = j-AMER-MATH-MONTHLY, volume = "91", number = "6", pages = "371", year = "1984", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "Contributed Item", MRnumber = "MR1540454", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "The American Mathematical Monthly", } @InProceedings{Trefethen:1984:RVC, author = "Lloyd N. Trefethen and M.~H. Gut\-Knecht", title = "Real vs. complex rational {Chebyshev} approximation on complex domains", crossref = "Collatz:1982:WNM", pages = "87--97", year = "1984", bibdate = "Sat Dec 09 12:52:56 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @InProceedings{Trefethen:1984:SBE, author = "Lloyd N. Trefethen", title = "Square blocks and equioscillation in the {Pad{\'e}}, {Walsh}, and {CF} tables", crossref = "Graves-Morris:1984:RAI", pages = "170--181", year = "1984", MRclass = "41A21", MRnumber = "MR783272 (86e:41030)", MRreviewer = "A. Bultheel", bibdate = "Sat Dec 09 12:27:44 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", price = "DM72.00", } @Article{Trefethen:1985:CDR, author = "Lloyd N. Trefethen and Martin H. Gutknecht", title = "On convergence and degeneracy in rational {Pad{\'e}} and {Chebyshev} approximation", journal = j-SIAM-J-MATH-ANA, volume = "16", number = "1", pages = "198--210", month = jan, year = "1985", CODEN = "SJMAAH", ISSN = "0036-1410 (print), 1095-7154 (electronic)", MRclass = "41A21 (30E10 41A50)", MRnumber = "MR772879 (86e:41031)", MRreviewer = "A. Magnus", bibdate = "Sat Dec 5 18:14:13 MST 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", } @Article{Trefethen:1985:PSS, author = "Lloyd N. Trefethen and James C. Smith and J. LeVeque", title = "Problems and Solutions: Solutions of Advanced Problems: 6462", journal = j-AMER-MATH-MONTHLY, volume = "92", number = "10", pages = "740--741", year = "1985", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "Contributed Item", MRnumber = "MR1540768", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "The American Mathematical Monthly", } @Article{Trefethen:1985:SFD, author = "Lloyd N. Trefethen", title = "Stability of finite-difference models containing two boundaries or interfaces", journal = j-MATH-COMPUT, volume = "45", number = "172", pages = "279--300", month = oct, year = "1985", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65M10", MRnumber = "MR804924 (87h:65158)", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Inst. for Comput. Applications in Sci. and Eng., NASA Langley Res. Center, Hampton, VA, USA", fjournal = "Mathematics of Computation", keywords = "boundary; convergence of numerical methods; difference equations; dissipativity; finite-difference models; GKS; GKS-stability; hyperbolic initial-boundary value; hyperbolic partial differential equations; infinite numerical reflection coefficient; initial value problems; instabilities; instability; internal interface; P-stability; parasitic waves; partial differential equations; problems; propagation; reflection; trapped; wave packets", treatment = "T Theoretical or Mathematical", } @InProceedings{Trefethen:1985:SHF, author = "Lloyd N. Trefethen", title = "Stability of hyperbolic finite-difference models with one or two boundaries", crossref = "Engquist:1985:LSC", pages = "311--326", year = "1985", MRclass = "65M10", MRnumber = "MR818794 (87b:65151)", bibdate = "Sat Dec 09 12:29:05 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Article{Trefethen:1985:TMG, author = "Lloyd N. Trefethen", title = "Three mysteries of {Gaussian} elimination", journal = j-SIGNUM, volume = "20", number = "4", pages = "2--5", month = oct, year = "1985", CODEN = "SNEWD6", ISSN = "0163-5778", bibdate = "Sat Aug 13 17:16:02 MDT 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, keywords = "algorithms", subject = "G.1.5 Mathematics of Computing, NUMERICAL ANALYSIS, Roots of Nonlinear Equations, Systems of equations \\ G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical Linear Algebra, Linear systems (direct and iterative methods)", } @Article{Elcrat:1986:CFS, author = "Alan R. Elcrat and Lloyd N. Trefethen", title = "Classical free-streamline flow over a polygonal obstacle", journal = j-J-COMP-APPL-MATH, volume = "14", number = "1-2", pages = "251--265", year = "1986", CODEN = "JCAMDI", ISSN = "0377-0427", MRclass = "76B10 (65E05 76-08)", MRnumber = "MR829042 (87d:76021)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Special issue on numerical conformal mapping", fjournal = "Journal of Computational and Applied Mathematics", } @Article{Trefethen:1986:CFS, author = "Lloyd N. Trefethen and A. R. Elcrat", title = "Classical free-streamline flow over a polygonal obstacle", journal = j-J-COMP-APPL-MATH, volume = "14", number = "1--2", pages = "251--265", year = "1986", bibdate = "Sat Dec 9 12:54:11 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Trefethen:1986:CMS, author = "Lloyd N. Trefethen and Ruth J. Williams", title = "Conformal mapping solution of {Laplace}'s equation on a polygon with oblique derivative boundary conditions", journal = j-J-COMP-APPL-MATH, volume = "14", number = "1--2", pages = "227--249", year = "1986", CODEN = "JCAMDI", ISSN = "0377-0427", MRclass = "30C30 (35J25 65E05)", MRnumber = "MR829041 (87f:30019)", MRreviewer = "D. Gaier", bibdate = "Sat Dec 9 12:54:24 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Special issue on numerical conformal mapping", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", } @InProceedings{Trefethen:1986:DDS, author = "Lloyd N. Trefethen", title = "Dispersion, dissipation, and stability", crossref = "Griffiths:1986:NA", pages = "200--219", year = "1986", MRclass = "65N10 (65-02)", MRnumber = "MR873111 (87m:65159)", bibdate = "Mon Jul 11 13:19:59 MDT 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @InProceedings{Trefethen:1986:MPC, author = "Lloyd N. Trefethen", title = "{MATLAB} programs for {CF} approximation", crossref = "Chui:1986:ATV", pages = "??--??", year = "1986", bibdate = "Sat Dec 09 12:31:17 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Book{Trefethen:1986:NCM, editor = "Lloyd N. Trefethen", title = "Numerical Conformal Mapping", publisher = pub-NH, address = pub-NH:adr, pages = "iv + 269", year = "1986", ISBN = "0-444-87855-6", ISBN-13 = "978-0-444-87855-7", LCCN = "QA1.J54", MRclass = "30C30", MRnumber = "MR874989 (87m:30013)", bibdate = "Sat Dec 09 12:55:23 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Reprint of J. Comput.\ Appl.\ Math.\ {\bf 14} (1986), no.\ 1--2.", acknowledgement = ack-nhfb, } @Book{Trefethen:1986:SIN, editor = "Lloyd N. Trefethen", title = "Special issue on numerical conformal mapping", volume = "14(1--2)", publisher = pub-ELS, address = pub-ELS:adr, pages = "viii + 269", year = "1986", CODEN = "JCAMDI", ISSN = "0377-0427", MRclass = "30C30 (30-06 65-06 65E05)", MRnumber = "MR829027 (86m:30010)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", series = j-J-COMP-APPL-MATH, } @Article{Trefethen:1986:WPA, author = "Lloyd N. Trefethen and L. Halpern", title = "Well-posedness of absorbing boundary conditions and one-way wave equations", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "421--435", year = "1986", bibdate = "Sat Dec 9 12:57:56 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Trefethen:1986:WPO, author = "Lloyd N. Trefethen and Laurence Halpern", title = "Well-posedness of one-way wave equations and absorbing boundary conditions", journal = j-MATH-COMPUT, volume = "47", number = "176", pages = "421--435", year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718", MRclass = "65N99 (65D05 65M05)", MRnumber = "MR856695 (88b:65148)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Mathematics of Computation", } @Article{Dias:1987:IJF, author = "Fr{\'e}d{\'e}ric Dias and Alan R. Elcrat and Lloyd N. Trefethen", title = "Ideal jet flow in two dimensions", journal = j-FLUID-MECH, volume = "185", pages = "275--288", year = "1987", CODEN = "JFLSA7", ISSN = "0022-1120", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", classmath = "*76B10 Free-streamline theory and appl. 76T99 None of the above, but in this section 76M99 Basic methods in fluid mechanics", keywords = "jet flow; nozzle geometries; polygonal nozzle", xxauthor = "Lloyd N. Trefethen and F. Dias and A. R. Elcrat", ZMnumber = "0633.76013", } @Article{Trefethen:1987:IPS, author = "Lloyd N. Trefethen and Manfred R. Trummer", title = "An Instability Phenomenon in Spectral Methods", journal = j-SIAM-J-NUMER-ANAL, volume = "24", number = "5", pages = "1008--1023", month = oct, year = "1987", CODEN = "SJNAAM", ISSN = "0036-1429", MRclass = "65M10 (65D25 65F15 65G05)", MRnumber = "MR909061 (89a:65139)", MRreviewer = "V. L. Makarov", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @InProceedings{Trefethen:1987:PSP, author = "Lloyd N. Trefethen and M.~H. H. Gutknecht", title = "{Pad{\'e}}, stable {Pad{\'e}}, and {Chebyshev--Pad{\'e}} approximation", crossref = "Mason:1987:AAB", pages = "227--264", year = "1987", MRclass = "41A21 (65D15)", MRnumber = "MR911316 (89g:41011)", bibdate = "Sat Dec 09 12:32:00 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Article{Halpern:1988:WAO, author = "Laurence Halpern and Lloyd N. Trefethen", title = "Wide-angle one-way wave equations", journal = j-J-ACOUST-SOC-AM, volume = "84", number = "4", pages = "1397--1404", year = "1988", CODEN = "JASMAN", ISSN = "0001-4966", MRclass = "76Q05 (35L05 76-08)", MRnumber = "MR965847 (89j:76076)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Acoustical Society of America. Journal", } @Article{LeVeque:1988:FAS, author = "Randall J. LeVeque and Lloyd N. Trefethen", title = "{Fourier} analysis of the {SOR} iteration", journal = j-IMA-J-NUMER-ANAL, volume = "8", number = "3", pages = "273--279", year = "1988", CODEN = "IJNADH", ISSN = "0272-4979 (print), 1464-3642 (electronic)", MRclass = "65F10", MRnumber = "MR968092 (89i:65036)", bibdate = "Sat Dec 23 17:06:35 MST 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; MathSciNet database", acknowledgement = ack-nhfb, classmath = "*65F10 Iterative methods for linear systems 65N22 Solution of discretized equations (BVP of PDE) 35J05 Laplace equation, etc", fjournal = "IMA Journal of Numerical Analysis", keywords = "Fourier analysis; optimal relaxation parameter; Poisson's equation; successive overrelaxation", ZMnumber = "0648.65028", ZMreviewer = "H.Hollatz", } @Article{Trefethen:1988:IPA, author = "Lloyd N. Trefethen and L. H. Howell", title = "Ill-posedness of absorbing boundary conditions for migration", journal = j-GEOPHYSICS, volume = "53", pages = "593--603", year = "1988", CODEN = "GPYSA7", ISSN = "0016-8033", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @InProceedings{Trefethen:1988:LSV, author = "Lloyd N. Trefethen", title = "{Lax}-stability vs. eigenvalue stability of spectral methods", crossref = "Morton:1988:NMF", pages = "237--253", year = "1988", MRclass = "65N99 (76M25)", MRnumber = "MR989156 (91a:65241)", MRreviewer = "J. Mikl{\'{\i}}{\v{c}}ek", bibdate = "Sat Dec 09 13:00:11 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", series = "Inst. Math. Appl. Conf. Ser. New Ser.", acknowledgement = ack-nhfb, } @Article{Trefethen:1988:WAO, author = "Lloyd N. Trefethen and L. Halpern", title = "Wide-angle one-way wave equations", journal = j-ACOUST-SOC-AMER, volume = "84", number = "4", pages = "1397--1404", year = "1988", bibdate = "Sat Dec 9 13:00:30 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Weideman:1988:ESO, author = "J. A. C. Weideman and Lloyd N. Trefethen", title = "The eigenvalues of second-order spectral differentiation matrices", journal = j-SIAM-J-NUMER-ANAL, volume = "25", number = "6", pages = "1279--1298", month = dec, year = "1988", CODEN = "SJNAAM", ISSN = "0036-1429", MRclass = "65N25 (65F15)", MRnumber = "MR972454 (90a:65228)", MRreviewer = "Aur{\'e}l Gal{\'a}ntai", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @TechReport{Trefethen:1989:SCM, author = "Lloyd N. Trefethen", title = "{Schwarz--Christoffel} mapping in the 1980's", type = "Numerical Analysis Report", number = "89-1", institution = inst-MATH-MIT, address = inst-math-mit:adr, year = "1989", bibdate = "Mon Jul 11 13:19:59 MDT 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @TechReport{Trefethen:1989:SUG, author = "Lloyd N. Trefethen", title = "{SCPACK} User's Guide", type = "Numerical Analysis Report", number = "89-2", institution = inst-MATH-MIT, address = inst-math-mit:adr, year = "1989", bibdate = "Mon Jul 11 13:19:59 MDT 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "(An earlier edition appeared as an ICASE internal report in 1983.)", } @Article{Hayashi:1990:CT, author = "Eric Hayashi and Lloyd N. Trefethen and Martin H. Gutknecht", title = "The {CF} table", journal = j-CONST-APPROX, volume = "6", number = "2", pages = "195--223", year = "1990", ISSN = "0176-4276", MRclass = "41A20 (30E10 41A50 47A57 65D15)", MRnumber = "MR1036609 (91e:41014)", MRreviewer = "Olav Nj{\aa}stad", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", } @Article{Howell:1990:MSC, author = "Louis H. Howell and Lloyd N. Trefethen", title = "A modified {Schwarz--Christoffel} transformation for elongated regions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "5", pages = "928--949", month = sep, year = "1990", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "30C20 (30C30 65D30)", MRnumber = "MR1057148 (92j:30006)", MRreviewer = "G. Opfer", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, classification = "B0290R (Integral equations); C4180 (Integral equations); C7310 (Mathematics)", corpsource = "Lawrence Livermore Lab., CA, USA", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", keywords = "arbitrary polygonal channel; conformal map; elongated regions; integral equations; mathematics computing; modified Schwarz--Christoffel transformation; numerical integration", treatment = "T Theoretical or Mathematical", } @Article{Reddy:1990:LSF, author = "Satish C. Reddy and Lloyd N. Trefethen", title = "{Lax-stability} of fully discrete spectral methods via stability regions and pseudo-eigenvalues", journal = j-COMPUT-METH-APPL-MECH-ENG, volume = "80", number = "1--3", pages = "147--164", year = "1990", CODEN = "CMMECC", ISSN = "0045-7825", MRclass = "65J10 (65L05 65P05); 65M12 (65M20 65M70)", MRnumber = "MR1067947 (91j:65102); MR1180554 (93e:65115)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Spectral and high order methods for partial differential equations (Como, 1989)", classmath = "*65M70 Spectral, collocation and related methods (IVP of PDE) 65M20 Method of lines (IVP of PDE) 65M12 Stability and convergence of numerical methods (IVP of PDE) 65L20 Stability of numerical methods for ODE", fjournal = "Computer Methods in Applied Mechanics and Engineering", keywords = "Chebyshev collocation; Lax-stability; method of lines; pseudo-eigenvalues; spectral methods; stability region", ZMnumber = "0735.65070", ZMreviewer = "V.Subba Rao", } @Article{Trefethen:1990:ACS, author = "Lloyd N. Trefethen and Robert S. Schreiber", title = "Average-Case Stability of {Gaussian} Elimination", journal = j-SIAM-J-MAT-ANA-APPL, volume = "11", number = "3", pages = "335--360", month = jul, year = "1990", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", MRclass = "65F05", MRnumber = "MR1054179 (91g:65062)", bibdate = "Tue Jan 21 08:54:30 MST 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", } @InProceedings{Trefethen:1990:ATN, author = "Lloyd N. Trefethen", title = "Approximation theory and numerical linear algebra", crossref = "Mason:1990:AAI", pages = "336--360", year = "1990", MRclass = "65F10 (41A10 41A20)", MRnumber = "MR1071991 (91j:65063)", MRreviewer = "K. Jetter", bibdate = "Sat Dec 09 12:32:52 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Article{Trefethen:1990:CT, author = "Lloyd N. Trefethen and E. Hayashi and M. H. Gutknecht", title = "The {CF} table", journal = j-CONST-APPROX, volume = "6", number = "2", pages = "195--223", year = "1990", ISSN = "0176-4276", bibdate = "Sat Dec 9 13:01:14 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Trefethen:1990:SUQ, author = "Lloyd M. Trefethen and Ronald L. Panton", title = "Some unanswered questions in fluid mechanics", journal = j-APPL-MECH-REV, volume = "43", number = "8", pages = "153--170", year = "1990", CODEN = "AMREAD", ISSN = "0003-6900", MRclass = "76-06", MRnumber = "MR1066082 (91j:76001)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Applied Mechanics Reviews", } @Article{Trefethen:1991:TRP, author = "Lloyd N. Trefethen and J. A. C. Weideman", title = "Two results on polynomial interpolation in equally spaced points", journal = j-J-APPROX-THEORY, volume = "65", number = "3", pages = "247--260", year = "1991", CODEN = "JAXTAZ", ISSN = "0021-9045", MRclass = "41A05 (41A10)", MRnumber = "MR1109406 (92e:41007)", MRreviewer = "Allan Pinkus", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Journal of Approximation Theory", } @Article{Nachtigal:1992:HFN, author = "No{\"e}l M. Nachtigal and Satish C. Reddy and Lloyd N. Trefethen", title = "How Fast Are Nonsymmetric Matrix Iterations?", journal = j-SIAM-J-MAT-ANA-APPL, volume = "13", number = "3", pages = "778--795", month = jul, year = "1992", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", MRclass = "65F10 (65Y10)", MRnumber = "MR1168079 (93a:65039)", bibdate = "Tue Jan 21 08:54:30 MST 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Iterative methods in numerical linear algebra (Copper Mountain, CO, 1990).", acknowledgement = ack-nhfb, classmath = "*65F10 Iterative methods for linear systems 65Y20 Complexity and performance of numerical algorithms", fjournal = "SIAM Journal on Matrix Analysis and Applications", keywords = "biconjugate gradient iteration; biorthogonalization algorithm; CGN; CGS; conjugate gradient iteration; convergence; GMRES; Krylov space; nonsymmetric matrix iterations; performance; pseudo-eigenvalues; residual minimization; singular values", ZMnumber = "0754.65036", ZMreviewer = "A.Gal{\'a}ntai (Miskolc-Egyetemvaros)", } @Article{Nachtigal:1992:HGA, author = "No{\"e}l M. Nachtigal and Lothar Reichel and Lloyd N. Trefethen", title = "A Hybrid {GMRES} Algorithm for Nonsymmetric Linear Systems", journal = j-SIAM-J-MAT-ANA-APPL, volume = "13", number = "3", pages = "796--825", month = jul, year = "1992", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", MRclass = "65F10", MRnumber = "MR1168080 (93a:65040)", bibdate = "Tue Jan 21 08:54:30 MST 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Iterative methods in numerical linear algebra (Copper Mountain, CO, 1990).", acknowledgement = ack-nhfb, classmath = "*65F10 Iterative methods for linear systems", fjournal = "SIAM Journal on Matrix Analysis and Applications", keywords = "CGNR; CGS; convergence; generalized minimum residual algorithm; GMRES; hybrid algorithms; iterative method; Krylov subspace; large nonsymmetric systems; numerical examples; pseudospectrum", ZMnumber = "0757.65035", ZMreviewer = "J.P.Milaszewicz (Buenos Aires)", } @Article{Reddy:1992:SML, author = "Satish C. Reddy and Lloyd N. Trefethen", title = "Stability of the method of lines", journal = j-NUM-MATH, volume = "62", number = "2", pages = "235--267", year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X", MRclass = "65M20 (65F15 65M12)", MRnumber = "MR1165912 (93d:65086)", MRreviewer = "Dennis C. Jespersen", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Numerische Mathematik", } @Article{Reichel:1992:EPE, author = "Lothar Reichel and Lloyd N. Trefethen", title = "Eigenvalues and pseudo-eigenvalues of {Toeplitz} matrices", journal = j-LINEAR-ALGEBRA-APPL, volume = "162/164", pages = "153--185", year = "1992", CODEN = "LAAPAW", ISSN = "0024-3795", MRclass = "15A18 (47A75 47B35 65F15)", MRnumber = "MR1148398 (92k:15028)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Directions in matrix theory (Auburn, AL, 1990)", fjournal = "Linear Algebra and its Applications", } @Article{Trefethen:1992:DNA, author = "Lloyd N. Trefethen", title = "The definition of numerical analysis", journal = j-SIAM-NEWS, volume = "25", day = "6", month = nov, year = "1992", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Reprinted in the {\sl Bulletin\/} of the Institute for Mathematics and its Applications, 1993.", } @Article{Trefethen:1992:EPE, author = "Lloyd N. Trefethen and L. Reichel", title = "Eigenvalues and pseudo-eigenvalues of {Toeplitz} matrices", journal = j-LINEAR-ALGEBRA-APPL, volume = "162--164", pages = "153--185", year = "1992", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @TechReport{Trefethen:1992:NDH, author = "L. N. Trefethen and A. E. Trefethen and S. C. Reddy and T. A. Driscoll.", title = "A new direction in hydrodynamic stability: beyond eigenvalues", type = "Technical Report", number = "CTC92TR115", institution = "Cornell Theory Center, Cornell University", address = "Ithaca, NY, USA", month = "????", year = "1992", bibdate = "Wed Jan 07 16:28:04 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @TechReport{Trefethen:1992:PLN, author = "Lloyd N. Trefethen and A. E. Trefethen and S. C. Reddy", title = "Pseudospectra of the linear {Navier-Stokes} evolution operator and instability of plane {Poiseuille} and {Couette} flows", number = "TR 92-1291", institution = inst-CS-CORNELL, address = inst-cs-cornell:adr, year = "1992", bibdate = "Mon Jul 11 13:19:59 MDT 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @InProceedings{Trefethen:1992:PM, author = "Lloyd N. Trefethen", title = "Pseudospectra of matrices", crossref = "Griffiths:1991:NAP", pages = "234--266", year = "1992", MRclass = "65F15 (15A18)", MRnumber = "MR1177237 (93e:65064)", MRreviewer = "F. Szidarovszky", bibdate = "Mon Jul 11 13:19:59 MDT 1994", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Article{Trefethen:1992:SML, author = "Lloyd N. Trefethen and S. C. Reddy", title = "Stability of the method of lines", journal = j-NUM-MATH, volume = "62", number = "2", pages = "235--267", year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X", bibdate = "Sat Dec 9 13:03:29 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Higham:1993:SO, author = "Desmond J. Higham and Lloyd N. Trefethen", title = "Stiffness of {ODEs}", journal = j-BIT, volume = "33", number = "2", pages = "285--303", year = "1993", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835", MRclass = "65L15", MRnumber = "MR1326020 (96a:65117)", bibdate = "Fri Nov 13 11:55:54 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", URL = "http://www.mai.liu.se/BIT/contents/bit33.html", acknowledgement = ack-nhfb, classmath = "*65L06 Multistep, Runge-Kutta, and extrapolation methods 65L05 Initial value problems for ODE (numerical methods) 65L20 Stability of numerical methods for ODE 34A34 Nonlinear ODE and systems, general 34E13 Multiple scale methods", fjournal = "BIT. Numerical Mathematics", keywords = "numerical experiments; one-step methods; performance; pseudospectrum; stability; stiff linear differential equations", ZMnumber = "0782.65091", ZMreviewer = "E.Hairer (Gen{\`e}ve)", } @Article{Trefethen:1993:HSE, author = "Lloyd N. Trefethen and Anne E. Trefethen and Satish C. Reddy and Tobin A. Driscoll", title = "Hydrodynamic stability without eigenvalues", journal = j-SCIENCE, volume = "261", number = "5121", pages = "578--584", day = "30", month = jul, year = "1993", CODEN = "SCIEAS", ISSN = "0036-8075", MRclass = "76E99", MRnumber = "MR1229495", bibdate = "Wed Jan 07 13:20:07 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, classmath = "*65F10 Iterative methods for linear systems", fjournal = "American Association for the Advancement of Science. Science", keywords = "Arnoldi iterations; conjugate residual method; convergence; GMRES algorithm; Lanczos iterations; location of eigenvalues; weighted least squares", ZMnumber = "0806.65031", ZMreviewer = "S.Zabek (Lublin)", } @InCollection{Trefethen:1993:NCC, author = "Lloyd N. Trefethen", title = "Numerical construction of conformal maps", crossref = "Saff:1993:FCA", pages = "??--??", year = "1993", bibdate = "Sat Dec 09 12:33:47 1995", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Article{Greenbaum:1994:GCA, author = "Anne Greenbaum and Lloyd N. Trefethen", title = "{GMRES\slash CR} and {Arnoldi\slash L{\'a}nczos} as Matrix Approximation Problems", journal = j-SIAM-J-SCI-COMP, volume = "15", number = "2", pages = "359--368", month = mar, year = "1994", CODEN = "SJOCE3", ISSN = "1064-8275", MRclass = "65F10 (65F15)", MRnumber = "MR1261459 (95e:65029)", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Tue Apr 29 18:25:50 MDT 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Iterative methods in numerical linear algebra (Copper Mountain Resort, CO, 1992).", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", } @Article{Reddy:1994:PCD, author = "Satish C. Reddy and Lloyd N. Trefethen", title = "Pseudospectra of the Convection-Diffusion Operator", journal = j-SIAM-J-APPL-MATH, volume = "54", number = "6", pages = "1634--1649", month = dec, year = "1994", CODEN = "SMJMAP", ISSN = "0036-1399 (print), 1095-712X (electronic)", MRclass = "47N20 (34L05 35Q99 47A10 65P05 76Rxx)", MRnumber = "MR1301275 (95k:47108)", MRreviewer = "D. M. Sloan", bibdate = "Wed Dec 10 09:59:46 MST 1997", bibsource = "Compendex database; ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIAP/54/6", URL = "http://epubs.siam.org/sam-bin/dbq/article/24698", acknowledgement = ack-nhfb, affiliation = "Oregon State Univ", affiliationaddress = "Corvallis, OR, USA", classification = "921.6", classmath = "*35J25 Second order elliptic equations, boundary value problems 35P10 Eigenfunction expansions, etc. for PD operators 47A10 Spectrum and resolvent of linear operators 76R99 Diffusion and convection", fjournal = "SIAM Journal on Applied Mathematics", journalabr = "SIAM J Appl Math", keywords = "Approximation theory; Convection diffusion operator; Function evaluation; Mathematical operators; Parabolas; Peclet number; Peclet numbers; Pseudospectra; Spectrum analysis", keywords = "convection-diffusion operator; pseudospectra", ZMnumber = "0811.35026", } @Article{Toh:1994:PPP, author = "Kim-Chuan Toh and Lloyd N. Trefethen", title = "Pseudozeros of Polynomials and Pseudospectra of Companion Matrices", journal = j-NUM-MATH, volume = "68", number = "3", pages = "403--425", year = "1994", CODEN = "NUMMA7", ISSN = "0029-599X", MRclass = "65F35 (65H05)", MRnumber = "MR1313152 (95m:65085)", MRreviewer = "Guo Liang Chen", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", classmath = "*65F35 Matrix norms, etc. (numerical linear algebra) 65F15 Eigenvalues (numerical linear algebra) 65H05 Single nonlinear equations (numerical methods) 65H17 Eigenvalue and bifurcation problems of nonlinear algebraic equations", corpsource = "Center for Appl. Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Numerische Mathematik", keywords = "companion matrices; eigenvalues; eigenvalues and eigenfunctions; matrix algebra; poles and zeros; polynomial zerofinding; polynomials; pseudospectra; pseudozeros", keywords = "companion matrix; conditioning; numerical results; pseudospectra; pseudozeros of polynomials", treatment = "T Theoretical or Mathematical", ZMnumber = "0808.65053", ZMreviewer = "S.Filippi (Gie{\ss}en)", } @TechReport{Trefethen:1994:SPP, author = "L. N. Trefethen", title = "Spectra and pseudospectra for pipe {Poiseuille} flow", type = "IPS Research Report", number = "94-16", institution = "Interdisciplinary Project Center for Supercomputing, ETH-Zurich", address = "Zurich, Switzerland", month = "????", year = "1994", bibdate = "Wed Jan 07 14:40:44 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Wegert:1994:BNP, author = "Elias Wegert and Lloyd N. Trefethen", title = "From the {Buffon} needle problem to the {Kreiss} matrix theorem", journal = j-AMER-MATH-MONTHLY, volume = "101", number = "2", pages = "132--139", year = "1994", CODEN = "AMMYAE", ISSN = "0002-9890", MRclass = "30C99 (15A57 60D05)", MRnumber = "MR1259826 (95b:30036)", MRreviewer = "A. Bultheel", bibdate = "Wed Dec 3 17:17:33 MST 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, fjournal = "The American Mathematical Monthly", } @Article{Baggett:1995:MLM, author = "Jeffrey S. Baggett and Tobin A. Driscoll and Lloyd N. Trefethen", title = "A mostly linear model of transition to turbulence", journal = j-PHYS-FLUIDS, volume = "7", number = "4", pages = "833--838", month = "????", year = "1995", CODEN = "PHFLE6", ISSN = "1070-6631", MRclass = "76F99 (76E30)", MRnumber = "MR1324952 (95k:76072)", bibdate = "Wed Jan 07 13:00:42 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, classmath = "*76F06 Transition to turbulence", fjournal = "Physics of Fluids", ZMnumber = "1039.76509", } @Article{Driscoll:1996:PWE, author = "Tobin A. Driscoll and Lloyd N. Trefethen", title = "Pseudospectra for the wave equation with an absorbing boundary", journal = j-J-COMP-APPL-MATH, volume = "69", number = "1", pages = "125--142", month = "????", year = "1996", CODEN = "JCAMDI", ISSN = "0377-0427", MRclass = "65J10 (35L05 47A10 65M99)", MRnumber = "MR1391615 (97e:65056)", bibdate = "Wed Jan 07 12:59:45 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, classmath = "*35L05 Wave equation 35P05 General spectral theory of PDE 47A10 Spectrum and resolvent of linear operators 47D06 One-parameter semigroups and linear evolution equations", fjournal = "Journal of Computational and Applied Mathematics", keywords = "absorbing boundary condition; nonnormality; pseudospectra", ZMnumber = "0854.35060", } @Article{Toh:1996:CPA, author = "Kim-Chuan Toh and Lloyd N. Trefethen", title = "Calculation of pseudospectra by the {Arnoldi} iteration", journal = j-SIAM-J-SCI-COMP, volume = "17", number = "1", pages = "1--15", month = jan, year = "1996", CODEN = "SJOCE3", ISSN = "1064-8275", MRclass = "65F15 (15A18)", MRnumber = "MR1375262 (97i:65064)", bibdate = "Tue Apr 29 18:25:50 MDT 1997", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Special issue on iterative methods in numerical linear algebra (Breckenridge, CO, 1994).", acknowledgement = ack-nhfb, classmath = "*65F15 Eigenvalues (numerical linear algebra)", fjournal = "SIAM Journal on Scientific Computing", keywords = "Arnoldi iteration; Hessenberg matrices; iterative algorithms; pseudospectra", ZMnumber = "0842.65022", ZMreviewer = "Costica Morosanu (Iasi)", } @TechReport{Trefethen:1996:MBU, author = "L. N. Trefethen and D. Viswanath", title = "Matrix behaviour, unitary reducibility, and {Hadamard} products", type = "Technical Report", number = "TR96-1596", institution = "Department of Computer Science, Cornell University", address = "Ithaca, NY, USA", month = jul, year = "1996", bibdate = "Wed Jan 07 13:26:10 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @TechReport{Trefethen:1996:MMM, author = "L. N. Trefethen and A. E. Trefethen and others", title = "{MultiMATLAB}: {MATLAB} on multiple processors", type = "Technical Report", number = "CTC96TR293", institution = "Cornell Theory Center, Cornell University", address = "Ithaca, NY, USA", month = "????", year = "1996", bibdate = "Wed Jan 07 15:18:18 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @InProceedings{Trefethen:1996:PLO, author = "L. N. Trefethen", title = "Pseudospectra of linear operators", crossref = "Kirchgassner:1996:IPT", pages = "401--434", year = "1996", MRclass = "65J10 (15A18 47A10 65F15)", MRnumber = "MR1387611 (96m:65064)", bibdate = "Wed Jan 07 13:23:39 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Also in \cite{Trefethen:1997:PLO}.", acknowledgement = ack-nhfb, } @Article{Baggett:1997:LDM, author = "Jeffrey S. Baggett and Lloyd N. Trefethen", title = "Low-dimensional models of subcritical transition to turbulence", journal = j-PHYS-FLUIDS, volume = "9", number = "4", pages = "1043--1053", year = "1997", CODEN = "PHFLE6", ISSN = "1070-6631", MRclass = "76E05 (76E30 76F10 76M25)", MRnumber = "MR1437563 (98a:76030)", MRreviewer = "Tom{\'a}s Chac{\'o}n Rebollo", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Physics of Fluids", } @TechReport{Trefethen:1997:EMI, author = "L. N. Trefethen and V. E. Howle", title = "Eigenvalues and musical instruments", type = "Technical Report", number = "????", institution = "????", address = "????", month = aug, year = "1997", bibdate = "Wed Jan 07 13:42:43 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Trefethen:1997:LDM, author = "L. N. Trefethen and J. S. Baggett", title = "Low-dimensional models of subcritical transition to turbulence", journal = j-PHYS-FLUIDS, volume = "9", number = "4", pages = "1043--1053", month = "????", year = "1997", CODEN = "PHFLE6", ISSN = "1070-6631", bibdate = "Wed Jan 07 14:41:58 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Book{Trefethen:1997:NLA, editor = "Lloyd N. Trefethen and David {Bau, III}", title = "Numerical Linear Algebra", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xii + 361", year = "1997", ISBN = "0-89871-361-7", ISBN-13 = "978-0-89871-361-9", LCCN = "QA184 .T74 1997", MRclass = "65-01 (65-02 65Fxx)", MRnumber = "MR1444820 (98k:65002)", MRreviewer = "Moody T. Chu", bibdate = "Wed Jan 07 15:23:19 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Article{Trefethen:1997:PLO, author = "Lloyd N. Trefethen", title = "Pseudospectra of Linear Operators", journal = j-SIAM-REVIEW, volume = "39", number = "3", pages = "383--406", month = sep, year = "1997", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", MRclass = "47A10 (15A18 47N40 65F15 76E05)", MRnumber = "MR1469941 (98i:47004)", MRreviewer = "Satish C. Reddy", bibdate = "Fri Dec 4 21:40:02 MST 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; ftp://ftp.math.utah.edu/pub/tex/bib/siamreview.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/39/3", URL = "http://epubs.siam.org/sam-bin/dbq/article/29528", acknowledgement = ack-nhfb, fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", } @Article{Driscoll:1998:PTM, author = "Tobin A. Driscoll and Kim-Chuan Toh and Lloyd N. Trefethen", title = "From Potential Theory to Matrix Iterations in Six Steps", journal = j-SIAM-REVIEW, volume = "40", number = "3", pages = "547--578", month = sep, year = "1998", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", MRclass = "65F10 (31A99 65N99)", MRnumber = "MR1642795 (99f:65049)", MRreviewer = "Andreas Rathsfeld", bibdate = "Fri Dec 4 21:41:58 MST 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/40/3", URL = "http://epubs.siam.org/sam-bin/dbq/article/30558", acknowledgement = ack-nhfb, classmath = "*65F10 Iterative methods for linear systems 30C20 Conformal mappings of special domains 41A10 Approximation by polynomials 30E10 Approximation in the complex domain", fjournal = "SIAM Review", keywords = "conformal mapping; convergence; Krylov subspaces; matrix iterations; numerical examples; polynomial approximation; potential theory; semidefinite programming", ZMnumber = "0930.65020", ZMreviewer = "D.Gaier (Gie{\ss}en)", } @InProceedings{Jonsson:1998:NAL, author = "G. F. J{\o}nsson and L. N. Trefethen", title = "A numerical analyst looks at the ``cutoff phenomenon'' in card shuffling and other {Markov} chains", crossref = "Higham:1998:NAP", pages = "150--178", year = "1998", MRclass = "65U05 (65F30)", MRnumber = "MR1636951 (99i:65155)", MRreviewer = "Sergei A. Nemnyugin", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Article{Toh:1998:CPM, author = "Kim-Chuan Toh and Lloyd N. Trefethen", title = "The {Chebyshev} Polynomials of a Matrix", journal = j-SIAM-J-MAT-ANA-APPL, volume = "20", number = "2", pages = "400--419", month = apr, year = "1998", CODEN = "SJMAEL", DOI = "http://dx.doi.org/10.1137/S0895479896303739", ISSN = "0895-4798 (print), 1095-7162 (electronic)", MRclass = "15A60 (41A30)", MRnumber = "MR1651393 (99m:15028)", MRreviewer = "Vladimir B. Larin", bibdate = "Fri Dec 4 12:14:09 MST 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/20/2", URL = "http://epubs.siam.org/sam-bin/dbq/article/30373", acknowledgement = ack-nhfb, classmath = "*65F10 Iterative methods for linear systems 15A60 Appl. of functional analysis to matrix theory 65K05 Mathematical programming (numerical methods)", fjournal = "SIAM Journal on Matrix Analysis and Applications", keywords = "algorithm; Chebyshev polynomial of a matrix; Krylov subspace iteration; matrix polynomial; primal-dual interior point method; pseudospectra; semidefinite programming", ZMnumber = "0922.65019", ZMreviewer = "Alexey Alimov (Moskva)", } @InProceedings{Trefethen:1998:NAL, author = "L. N. Trefethen and G. F. J{\o}nsson", title = "A numerical analyst looks at the `cutoff phenomenon' in card shuffling and other {Markov} chains", crossref = "Higham:1998:NAP", pages = "??--??", year = "1998", bibdate = "Wed Jan 07 13:27:45 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @InProceedings{Trefethen:1998:SCM, author = "Lloyd N. Trefethen and Tobin A. Driscoll", title = "{Schwarz--Christoffel} mapping in the computer era", crossref = "Fischer:1998:PIC", pages = "533--542", year = "1998", MRclass = "30C30 (31A05 65E05)", MRnumber = "MR1648186 (99i:30012)", MRreviewer = "N. Papamichael", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Extra volume III.", } @Article{Viswanath:1998:CNR, author = "D. Viswanath and L. N. Trefethen", title = "Condition Numbers of Random Triangular Matrices", journal = j-SIAM-J-MAT-ANA-APPL, volume = "19", number = "2", pages = "564--581", month = apr, year = "1998", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", MRclass = "65F35 (15A12 15A52 65U05)", MRnumber = "MR1614019 (99b:65061)", bibdate = "Fri Dec 4 12:14:09 MST 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/19/2", URL = "http://epubs.siam.org/sam-bin/dbq/article/31286", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Matrix Analysis and Applications", } @Article{Embree:1999:GDR, author = "Mark Embree and Lloyd N. Trefethen", title = "Growth and decay of random {Fibonacci} sequences", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "455", number = "1987", pages = "2471--2485", year = "1999", CODEN = "PRLAAZ", ISSN = "1364-5021", MRclass = "11K31 (11B39)", MRnumber = "MR1807827 (2001i:11098)", MRreviewer = "Robert F. Tichy", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "The Royal Society of London. Proceedings. Series A. Mathematical, Physical and Engineering Sciences", } @Article{Embree:1999:GFM, author = "Mark Embree and Lloyd N. Trefethen", title = "{Green}'s Functions for Multiply Connected Domains via Conformal Mapping", journal = j-SIAM-REVIEW, volume = "41", number = "4", pages = "745--761", month = dec, year = "1999", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", MRclass = "30E10 (30C20 31A99 65E05)", MRnumber = "MR1722999 (2000h:30053)", bibdate = "Fri Oct 27 14:32:56 MDT 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/41/4", URL = "http://epubs.siam.org/sam-bin/dbq/article/34927", acknowledgement = ack-nhfb, fjournal = "SIAM Review", } @Article{Toh:1999:KMT, author = "Kim-Chuan Toh and Lloyd N. Trefethen", title = "The {Kreiss} matrix theorem on a general complex domain", journal = j-SIAM-J-MAT-ANA-APPL, volume = "21", number = "1", pages = "145--165", year = "1999", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", MRclass = "65F10 (15A60 30E10 65J10)", MRnumber = "MR1709731 (2000h:65054)", MRreviewer = "Guo Liang Chen", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", classmath = "*65F35 Matrix norms, etc. (numerical linear algebra) 65F10 Iterative methods for linear systems 15A60 Appl. of functional analysis to matrix theory 30E10 Approximation in the complex domain", fjournal = "SIAM Journal on Matrix Analysis and Applications", keywords = "conformal mapping; Faber polynomials; Hilbert space; Kreiss matrix theorem; Krylov subspaces; polynomials of a matrix", ZMnumber = "0946.65029", ZMreviewer = "Michael Sever (Jerusalem)", } @InCollection{Trefethen:1999:CP, author = "Lloyd N. Trefethen", title = "Computation of pseudospectra", crossref = "Iserles:1999:AN", pages = "247--295", year = "1999", MRclass = "65F15 (65F35 65Y05)", MRnumber = "MR1819647 (2002b:65062)", MRreviewer = "Rafikul Alam", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @TechReport{Trefethen:1999:MMM, author = "Anne E. Trefethen and Vijay S. Menon and Chi-Chao Chang and Grzegorz J. Czajkowski and Chris Myers and Lloyd N. Trefethen", title = "{MultiMATLAB}: {MATLAB} on Multiple Processors", institution = "Cornell Theory Center and Computer Science Department,", address = "Cornell University, Ithaca, NY", day = "19", month = aug, year = "1999", bibdate = "Thu Oct 24 08:03:25 2002", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", URL = "http://www.cs.cornell.edu/Info/People/lnt/multimatlab.html", acknowledgement = ack-nhfb, } @InCollection{Trefethen:1999:SPB, author = "Lloyd N. Trefethen", title = "Spectra and pseudospectra. {The} behaviour of non-normal matrices and operators", crossref = "Ainsworth:1999:GSG", pages = "217--250", year = "1999", MRclass = "65F15 (15A18)", MRnumber = "MR1715035", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", } @Article{Trefethen:1999:SPP, author = "Anne E. Trefethen and Lloyd N. Trefethen and Peter J. Schmid", title = "Spectra and pseudospectra for pipe {Poiseuille} flow", journal = j-COMPUT-METH-APPL-MECH-ENG, volume = "175", number = "3--4", pages = "413--420", year = "1999", CODEN = "CMMECC", ISSN = "0045-7825", MRclass = "76M25", MRnumber = "MR1702189 (2000c:76069)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Computer Methods in Applied Mechanics and Engineering", } @Article{Trefethen:1999:SRa, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "41", number = "1", pages = "1--2", month = mar, year = "1999", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Fri Oct 27 14:32:49 MDT 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/41/1", URL = "http://epubs.siam.org/sam-bin/dbq/article/97019", acknowledgement = ack-nhfb, } @Article{Trefethen:1999:SRb, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "41", number = "2", pages = "197--197", month = jun, year = "1999", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Fri Oct 27 14:32:52 MDT 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/41/2", URL = "http://epubs.siam.org/sam-bin/dbq/article/97024", acknowledgement = ack-nhfb, } @Article{Trefethen:1999:SRc, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "41", number = "3", pages = "415--415", month = sep, year = "1999", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Fri Oct 27 14:32:54 MDT 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/41/3", URL = "http://epubs.siam.org/sam-bin/dbq/article/97029", acknowledgement = ack-nhfb, } @Article{Trefethen:1999:SRd, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "41", number = "4", pages = "635--635", month = dec, year = "1999", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Fri Oct 27 14:32:56 MDT 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/41/4", URL = "http://epubs.siam.org/sam-bin/dbq/article/97035", acknowledgement = ack-nhfb, } @Article{Trefethen:19xx:DPM, author = "Lloyd N. Trefethen and A. Greenbaum", title = "Do the pseudospectra of a matrix determine its behavior?", journal = j-LINEAR-ALGEBRA-APPL, volume = "??", number = "??", pages = "??--??", month = "????", year = "19xx", bibdate = "Wed Jan 7 17:55:20 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "To appear.", } @Article{Trefethen:19xx:PTM, author = "L. N. Trefethen and T. A. Driscoll and K.-C. Toh.", title = "From potential theory to matrix iterations in six steps", journal = j-SIAM-J-MAT-ANA-APPL, volume = "??", number = "??", pages = "??--??", month = "????", year = "19xx", bibdate = "Wed Jan 07 16:22:20 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "To appear.", acknowledgement = ack-nhfb, } @Article{Toh:2000:KMT, author = "Kim-Chuan Toh and Lloyd N. Trefethen", title = "The {Kreiss} Matrix Theorem on a General Complex Domain", journal = j-SIAM-J-MAT-ANA-APPL, volume = "21", number = "1", pages = "145--165", month = jan, year = "2000", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", bibdate = "Sat Jan 22 14:39:17 MST 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/21/1", URL = "http://epubs.siam.org/sam-bin/dbq/article/32402", acknowledgement = ack-nhfb, } @Article{Trefethen:2000:HMS, author = "L. N. Trefethen and L. M. Trefethen", title = "How many shuffles to randomize a deck of cards?", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI, volume = "456", number = "2002", pages = "2561--2568", year = "2000", CODEN = "PRLAAZ", ISSN = "1364-5021", MRclass = "60C05 (05A05 60B10 60J10 94A17)", MRnumber = "MR1796496 (2001k:60009)", MRreviewer = "David J. Grabiner", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "The Royal Society of London. Proceedings. Series A. Mathematical, Physical and Engineering Sciences", } @Book{Trefethen:2000:SMM, author = "Lloyd N. Trefethen", title = "Spectral Methods in {MATLAB}", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xvi + 165", year = "2000", ISBN = "0-89871-465-6", ISBN-13 = "978-0-89871-465-4", LCCN = "QA377 .T65 2000", MRclass = "65-01 (65-04)", MRnumber = "MR1776072 (2001c:65001)", bibdate = "Tue Jan 23 09:04:41 2001", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", series = "Software, Environments, and Tools", acknowledgement = ack-njh, keywords = "differential equations, partial -- numerical solutions -- data processing; Matlab; spectral theory (mathematics)", } @Article{Trefethen:2000:SRa, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "42", number = "1", pages = "1--1", month = mar, year = "2000", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Fri Oct 27 14:32:58 MDT 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/42/1", URL = "http://epubs.siam.org/sam-bin/dbq/article/97041", acknowledgement = ack-nhfb, } @Article{Trefethen:2000:SRb, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "42", number = "2", pages = "159--159", month = jun, year = "2000", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Fri Oct 27 14:33:01 MDT 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/42/2", URL = "http://epubs.siam.org/sam-bin/dbq/article/97050", acknowledgement = ack-nhfb, } @Article{Trefethen:2000:SRc, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "42", number = "3", pages = "367--367", month = sep, year = "2000", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Fri Oct 27 14:33:03 MDT 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/42/3", URL = "http://epubs.siam.org/sam-bin/dbq/article/97051", acknowledgement = ack-nhfb, } @Article{Trefethen:2000:SRd, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "42", number = "4", pages = "553--553", month = dec, year = "2000", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Fri Oct 27 14:33:05 MDT 2000", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/42/4", URL = "http://epubs.siam.org/sam-bin/dbq/article/97056", acknowledgement = ack-nhfb, } @Article{Banjai:2001:NSO, author = "Lehel Banjai and Lloyd N. Trefethen", title = "Numerical solution of the omitted area problem of univalent function theory", journal = j-COMPUT-METH-FUNCT-THEORY, volume = "1", number = "1", pages = "259--273", year = "2001", CODEN = "????", ISSN = "1617-9447", MRclass = "30C30 (30C75)", MRnumber = "MR1931615 (2003k:30014)", MRreviewer = "N. Papamichael", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", classmath = "*30C30 Numerical methods in conformal mapping theory 30C75 Extremal problems for (quasi-)conformal mappings, other methods 65E05 Numerical methods in complex analysis", fjournal = "Computational Methods and Function Theory", keywords = "numerical conformal mapping; omitted area problem; univalent function theory", ZMnumber = "1007.30009", } @Article{Embree:2001:GET, author = "Mark Embree and Lloyd N. Trefethen", title = "Generalizing eigenvalue theorems to pseudospectra theorems", journal = j-SIAM-J-SCI-COMP, volume = "23", number = "2", pages = "583--590", year = "2001", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", MRclass = "15A18 (15A60 65F15)", MRnumber = "MR1861266 (2002k:15019)", MRreviewer = "Jesse L. Barlow", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Copper Mountain Conference (2000)", classmath = "*15A18 Eigenvalues of matrices, etc. 65F10 Iterative methods for linear systems 15A60 Appl. of functional analysis to matrix theory", fjournal = "SIAM Journal on Scientific Computing", keywords = "eigenvalues; iterative methods; pseudospectra", ZMnumber = "0995.15003", ZMreviewer = "Jitka Drkosova (Praha)", } @Article{Howle:2001:EMI, author = "V. E. Howle and Lloyd N. Trefethen", title = "Eigenvalues and musical instruments", journal = j-J-COMP-APPL-MATH, volume = "135", number = "1", pages = "23--40", year = "2001", CODEN = "JCAMDI", ISSN = "0377-0427", MRclass = "74H45 (00A69 34B05 70J10)", MRnumber = "MR1854442 (2002i:74024)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Journal of Computational and Applied Mathematics", } @Article{Trefethen:2001:SPL, author = "Lloyd N. Trefethen and Marco Contedini and Mark Embree", title = "Spectra, pseudospectra, and localization for random bidiagonal matrices", journal = j-COMM-PURE-APPL-MATH, volume = "54", number = "5", pages = "595--623", year = "2001", CODEN = "CPAMAT", ISSN = "0010-3640", MRclass = "15A52 (15A18 60F99)", MRnumber = "MR1811128 (2002c:15047)", MRreviewer = "Nicholas S. Witte", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Communications on Pure and Applied Mathematics", } @Article{Trefethen:2001:SRa, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "43", number = "1", pages = "1--1", month = mar, year = "2001", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Fri Apr 6 20:22:11 MDT 2001", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/43/1", URL = "http://epubs.siam.org/sam-bin/dbq/article/97061", acknowledgement = ack-nhfb, } @Article{Trefethen:2001:SRb, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "43", number = "2", pages = "233--233", month = jun, year = "2001", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Mon Feb 25 18:49:56 MST 2002", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/43/2", URL = "http://epubs.siam.org/sam-bin/dbq/article/97066", acknowledgement = ack-nhfb, } @Article{Trefethen:2001:SRc, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "43", number = "3", pages = "411--411", month = sep, year = "2001", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Mon Feb 25 18:49:59 MST 2002", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/43/3", URL = "http://epubs.siam.org/sam-bin/dbq/article/97071", acknowledgement = ack-nhfb, } @Article{Trefethen:2001:SRd, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "43", number = "4", pages = "583--583", month = dec, year = "2001", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Mon Feb 25 18:50:01 MST 2002", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/43/4", URL = "http://epubs.siam.org/sam-bin/dbq/article/97076", acknowledgement = ack-nhfb, } @Article{Wright:2001:CLC, author = "Thomas G. Wright and Lloyd N. Trefethen", title = "Computing {Lyapunov} constants for random recurrences with smooth coefficients", journal = j-J-COMP-APPL-MATH, volume = "132", number = "2", pages = "331--340", year = "2001", CODEN = "JCAMDI", ISSN = "0377-0427", MRclass = "65C40", MRnumber = "MR1840632 (2002d:65010)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Journal of Computational and Applied Mathematics", } @Article{Wright:2001:LSC, author = "Thomas G. Wright and Lloyd N. Trefethen", title = "Large-scale computation of pseudospectra using {ARPACK} and eigs", journal = j-SIAM-J-SCI-COMP, volume = "23", number = "2", pages = "591--605", year = "2001", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", MRclass = "65F15 (65F50)", MRnumber = "MR1861267 (2002h:65061)", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Copper Mountain Conference (2000)", fjournal = "SIAM Journal on Scientific Computing", } @Article{Bottcher:2002:PCT, author = "Albrecht B{\"o}ttcher and Mark Embree and Lloyd N. Trefethen", title = "Piecewise continuous {Toeplitz} matrices and operators: slow approach to infinity", journal = j-SIAM-J-MAT-ANA-APPL, volume = "24", number = "2", pages = "484--489", year = "2002", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", MRclass = "47B35 (15A18 15A60 47A10)", MRnumber = "MR1951133 (2004b:47049)", MRreviewer = "Paolo Tilli", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "SIAM Journal on Matrix Analysis and Applications", } @Book{Driscoll:2002:SCM, author = "Tobin A. Driscoll and Lloyd N. Trefethen", title = "{Schwarz--Christoffel} mapping", volume = "8", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xvi + 132", year = "2002", ISBN = "0-521-80726-3", ISBN-13 = "978-0-521-80726-5", MRclass = "30C30 (30-02 30-04 65E05)", MRnumber = "MR1908657 (2003e:30012)", MRreviewer = "N. Papamichael", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", series = "Cambridge Monographs on Applied and Computational Mathematics", } @TechReport{Dussaud:2002:HDC, author = "Eric Dussaud and Chris Husband and Hoang Nguyen and Dan Reynolds and Christiaan Stolk", title = "Hundred Digit Challenge Solutions", institution = "Department of Computational and Applied Mathematics, Rice University", address = "Houston, TX, USA", pages = "21", day = "16", month = may, year = "2002", bibdate = "Tue Jan 03 16:43:13 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.", URL = "http://www.caam.rice.edu/caam/trs/2002/TR02-06.pdf; http://www.caam.rice.edu/caam/trs/2002/TR02-06.ps; http://www.caam.rice.edu/caam/trs/2002_abstracts.html#TR02-06", acknowledgement = ack-nhfb, remark = "CAAM Technical Report", } @Article{Embree:2002:GET, author = "Mark Embree and Lloyd N. Trefethen", title = "Generalizing Eigenvalue Theorems to Pseudospectra Theorems", journal = j-SIAM-J-SCI-COMP, volume = "23", number = "2", pages = "583--590", month = mar, year = "2002", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", bibdate = "Wed Jul 25 09:55:57 MDT 2001", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2", URL = "http://epubs.siam.org/sam-bin/dbq/article/37301", acknowledgement = ack-nhfb, } @Misc{Gonnet:2002:SSD, author = "Gaston Gonnet and Robert Israel", title = "Solutions to the {SIAM 100-Dollar, 100-Digit Challenge}", howpublished = "World-Wide Web document.", year = "2002", bibdate = "Tue Jan 03 16:53:24 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.", URL = "http://www.math.ubc.ca/~israel/challenge/challenge.html", acknowledgement = ack-nhfb, } @Misc{Kaplan:2002:BSS, author = "Danny Kaplan and Stan Wagon", title = "Brief Solutions to the {SIAM Hundred-Dollar, Hundred-Digit Challenge}", howpublished = "World-Wide Web document.", day = "27", month = jun, year = "2002", bibdate = "Tue Jan 03 16:49:32 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.", URL = "http://stanwagon.com/wagon/Misc/HTMLLinks/SIAMchallenge_2.html", acknowledgement = ack-nhfb, } @Article{Keller:2002:LEH, author = "Joseph B. Keller", title = "Letter to the {Editor}: The Hundred-dollar, Hundred-digit Challenge", journal = j-SIAM-NEWS, volume = "35", number = "10", pages = "??--??", month = dec, year = "2002", ISSN = "0036-1437", bibdate = "Tue Jan 03 16:40:28 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", URL = "http://www.siam.org/siamnews/12-02/letter.htm", acknowledgement = ack-nhfb, } @Misc{Kern:2002:SHD, author = "Michel Kern", title = "Solution to the {``Hundred-dollar, Hundred-digit Challenge''}", howpublished = "World-Wide Web document.", pages = "14", day = "17", month = may, year = "2002", bibdate = "Tue Jan 03 16:33:02 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.", URL = "http://www-rocq.inria.fr/~kern/Challenge/challenge.pdf", acknowledgement = ack-nhfb, } @TechReport{Kern:2002:SSH, author = "Michel Kern", title = "Solution to the {SIAM ``Hundred-dollar, Hundred-digit Challenge''}", type = "Report", number = "4472", institution = "INRIA", address = "Unit{\'e} de recherche INRIA Rocquencourt, Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex, France", pages = "21", month = may, year = "2002", ISSN = "0249-6399", bibdate = "Tue Jan 03 16:34:51 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.", URL = "http://www-rocq.inria.fr/who/Michel.Kern/Challenge/RR-challenge.pdf; http://www-rocq.inria.fr/~kern/Challenge/challenge.html; http://www.lacim.uqam.ca/~plouffe/OEIS/citations/RR-4472.pdf", acknowledgement = ack-nhfb, } @Misc{Laurie:2002:STH, author = "Dirk Laurie", title = "Solutions to {Trefethen}'s Hundred-dollar, Hundred-digit challenge problems", howpublished = "World-Wide Web document.", pages = "2", day = "23", month = may, year = "2002", bibdate = "Tue Jan 03 16:29:42 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.", URL = "http://dip.sun.ac.za/~laurie/trefethen-challenge/; http://dip.sun.ac.za/~laurie/trefethen-challenge/howsolved.pdf", acknowledgement = ack-nhfb, } @Misc{McInturff:2002:SHD, author = "Kim McInturff and Peter S. Simon", title = "Solutions for the Hundred-Dollar, Hundred-Digit Challenge", howpublished = "World-Wide Web document.", pages = "46", day = "29", month = apr, year = "2002", bibdate = "Tue Jan 03 16:25:21 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.", URL = "http://www.vcnet.com/~simonp/; http://www.vcnet.com/~simonp/solutions.pdf", acknowledgement = ack-nhfb, } @Misc{Medley:2002:SC, author = "Brian Medley and Bernard B. Beard and Marijke van Gans", title = "The 2002 {SIAM} Challenge", howpublished = "World-Wide Web document.", year = "2002", bibdate = "Tue Jan 03 16:58:20 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.", URL = "http://www.maxwellian.demon.co.uk/~marijke/SIAM2002/; http://www.maxwellian.demon.co.uk/~marijke/SIAM2002/siamscim.pdf", acknowledgement = ack-nhfb, } @Misc{Specht:2002:HSH, author = "Eckard Specht and Martin Wohlgemuth and Clemens Raab and Lutz Gehlen", title = "How to solve the {``A Hundred-Dollar, Hundred-Digit Challenge''}", howpublished = "World-Wide Web document.", pages = "15", year = "2002", bibdate = "Tue Jan 03 16:27:38 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.", URL = "http://matheplanet.com/matheplanet/nuke/html/matroid/siam/siam_results.pdf", acknowledgement = ack-nhfb, } @Article{Trefethen:2002:DCC, author = "Lloyd N. Trefethen", title = "The \$100, 100-digit Challenge: Chastened Challenge Sponsor: ``{I} Misjudged''", journal = j-SIAM-NEWS, volume = "35", number = "6", pages = "4", month = jul # "\slash " # aug, year = "2002", bibdate = "Tue Jan 03 17:04:04 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", URL = "http://www.siam.org/siamnews/07-02/challengeupdate.pdf", acknowledgement = ack-nhfb, remark = "From the text: ``In the January announcement I wrote, If anyone gets 50 digits in total, I will be impressed. Well, I misjudged. In the end, along with plenty of scores in the twenties, forties, and sixties, at the top we had twenty perfect scores. After them came five teams who scored 99 out of 100. Six further teams scored between 90 and 98.''", } @Article{Trefethen:2002:HDH, author = "Lloyd N. Trefethen", title = "A Hundred-Dollar, Hundred-Digit Challenge", journal = j-SIAM-NEWS, volume = "35", number = "1", pages = "??--??", month = jan, year = "2002", ISSN = "0036-1437", bibdate = "Tue Jan 03 15:43:17 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "See solutions \cite{Bornemann:2004:SDC,Dussaud:2002:HDC,Gonnet:2002:SSD,Kaplan:2002:BSS,Kern:2002:SHD,Kern:2002:SSH,Laurie:2002:STH,McInturff:2002:SHD,Medley:2002:SC,Specht:2002:HSH,Trefethen:2002:DCC,Trefethen:2002:SDD}. From the solutions Web site: ``Ninety-four teams from twenty-five countries entered the competition. Of these, twenty teams scored 100 points and thus are counted as FIRST PRIZE WINNERS''.", URL = "http://dip.sun.ac.za/~laurie/trefethen-challenge/challenge.ps; http://mathworld.wolfram.com/Hundred-DollarHundred-DigitChallengeProblems.html; http://spiff.rit.edu/classes/phys317/lectures/intro/hundred_dollar.pdf; http://web.comlab.ox.ac.uk/oucl/work/nick.trefethen/hundred.html; http://www.siam.org/siamnews/01-02/challenge.pdf", acknowledgement = ack-nhfb, } @Article{Trefethen:2002:SDD, author = "Lloyd N. Trefethen", title = "The {SIAM} 100-Dollar, 100-Digit Challenge", journal = j-SIAM-NEWS, volume = "35", number = "6", pages = "2", month = jul # "\slash " # aug, year = "2002", bibdate = "Tue Jan 03 17:12:22 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", URL = "http://www.siam.org/siamnews/06-02/challengedigits.pdf", acknowledgement = ack-nhfb, } @Article{Trefethen:2002:SRa, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "44", number = "2", pages = "167--167", month = jun, year = "2002", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Tue Oct 22 18:27:50 MDT 2002", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/44/2", URL = "http://epubs.siam.org/sam-bin/dbq/article/97086", acknowledgement = ack-nhfb, } @Article{Trefethen:2002:SRb, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "44", number = "3", pages = "309--309", month = sep, year = "2002", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Tue Oct 22 18:27:52 MDT 2002", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/44/3", URL = "http://epubs.siam.org/sam-bin/dbq/article/97091", acknowledgement = ack-nhfb, } @Article{Trefethen:2002:SRc, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "44", number = "4", pages = "523--523", month = dec, year = "2002", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Tue Oct 22 18:27:55 MDT 2002", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/44/4", URL = "http://epubs.siam.org/sam-bin/dbq/article/97096", acknowledgement = ack-nhfb, } @Article{Trefethen:2002:SRd, author = "Nick Trefethen", title = "Survey and Review", journal = j-SIAM-REVIEW, volume = "44", number = "4", pages = "523--523", month = dec, year = "2002", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Tue Oct 22 18:27:55 MDT 2002", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/44/4", URL = "http://epubs.siam.org/sam-bin/dbq/article/97096", acknowledgement = ack-nhfb, } @Article{vanderVorst:2002:CMC, author = "Henk van der Vorst and Iain Duff and Howard Elman and Ronal Freund and Tim Kelley and Seymour Parter and Gerhard Starke and Nick Trefethen and Panayot Vassilevski and Homer Walker and Olof Widlund", title = "{2000 Copper Mountain Conference}", journal = j-SIAM-J-SCI-COMP, volume = "23", number = "2", pages = "vii--vii", month = mar, year = "2002", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", bibdate = "Wed Jul 25 09:55:57 MDT 2001", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; ftp://ftp.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib; http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2", URL = "http://epubs.siam.org/sam-bin/dbq/article/97414", acknowledgement = ack-nhfb, } @Article{Wright:2002:LSC, author = "Thomas G. Wright and Lloyd N. Trefethen", title = "Large-Scale Computation of Pseudospectra Using {ARPACK} and {\tt eigs}", journal = j-SIAM-J-SCI-COMP, volume = "23", number = "2", pages = "591--605", month = mar, year = "2002", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", bibdate = "Wed Jul 25 09:55:57 MDT 2001", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2", URL = "http://epubs.siam.org/sam-bin/dbq/article/37322", acknowledgement = ack-nhfb, keywords = "Matlab", } @Article{Wright:2002:PRM, author = "Thomas G. Wright and Lloyd N. Trefethen", title = "Pseudospectra of rectangular matrices", journal = j-IMA-J-NUMER-ANAL, volume = "22", number = "4", pages = "501--519", month = oct, year = "2002", CODEN = "IJNADH", ISSN = "0272-4979 (print), 1464-3642 (electronic)", MRclass = "65F15", MRnumber = "MR1936516 (2003m:65056)", MRreviewer = "Jesse L. Barlow", bibdate = "Fri Oct 18 09:49:23 MDT 2002", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/", URL = "http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/220501.sgm.abs.html; http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/pdf/220501.pdf", acknowledgement = ack-nhfb, fjournal = "IMA Journal of Numerical Analysis", } @Article{Banjai:2003:MMS, author = "Lehel Banjai and L. N. Trefethen", title = "A Multipole Method for {Schwarz--Christoffel} Mapping of Polygons with Thousands of Sides", journal = j-SIAM-J-SCI-COMP, volume = "25", number = "3", pages = "1042--1065", month = may, year = "2003", CODEN = "SJOCE3", DOI = "http://dx.doi.org/10.1137/S1064827502411675", ISSN = "1064-8275 (print), 1095-7197 (electronic)", MRclass = "30C30 (65E05)", MRnumber = "MR2046124 (2004m:30011)", MRreviewer = "N. Papamichael", bibdate = "Mon Jan 12 19:00:43 MST 2004", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SISC/25/3", URL = "http://epubs.siam.org/sam-bin/dbq/article/41167", acknowledgement = ack-nhfb, classmath = "*30C30 Numerical methods in conformal mapping theory 65E05 Numerical methods in complex analysis 70F10 n-body problem", fjournal = "SIAM Journal on Scientific Computing", keywords = "conformal mapping; fast multipole method; Koch snowflake; Schwarz-Christoffel mapping", ZMnumber = "1060.30012", } @Article{Bottcher:2003:PCT, author = "Albrecht B{\"o}ttcher and Mark Embree and Lloyd N. Trefethen", title = "Piecewise Continuous {Toeplitz} Matrices and Operators: {Slow} Approach to Infinity", journal = j-SIAM-J-MAT-ANA-APPL, volume = "24", number = "2", pages = "484--489", month = apr, year = "2003", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", bibdate = "Fri Aug 15 05:45:45 MDT 2003", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/24/2", URL = "http://epubs.siam.org/sam-bin/dbq/article/37697", acknowledgement = ack-nhfb, } @Article{Meseguer:2003:LPF, author = "{\'A}. Meseguer and L. N. Trefethen", title = "Linearized pipe flow to {Reynolds} number {$10^7$}", journal = j-J-COMPUT-PHYS, volume = "186", number = "1", pages = "178--197", year = "2003", CODEN = "JCTPAH", ISSN = "0021-9991", MRclass = "76M22", MRnumber = "MR1967366", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", classmath = "*76M22 Spectral methods 76D05 Navier-Stokes equations (fluid dynamics)", fjournal = "Journal of Computational Physics", ZMnumber = "1047.76565", } @Article{Battles:2004:EMC, author = "Zachary Battles and Lloyd N. Trefethen", title = "An Extension of {MATLAB} to Continuous Functions and Operators", journal = j-SIAM-J-SCI-COMP, volume = "25", number = "5", pages = "1743--1770", month = sep, year = "2004", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", MRclass = "41-04 (65-04)", MRnumber = "MR2087334 (2005e:41001)", bibdate = "Sat Apr 16 12:07:14 MDT 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SISC/25/5", URL = "http://epubs.siam.org/sam-bin/dbq/article/43012", acknowledgement = ack-nhfb, classmath = "*65D05 Interpolation (numerical methods) 41-04 Machine computation, programs (approximations and expansions)", fjournal = "SIAM Journal on Scientific Computing", keywords = "barycentric formula; Chebyshev points; FFT; interpolation; MATLAB; spectral methods", ZMnumber = "1057.65003", } @Article{Berrut:2004:BLI, author = "Jean-Paul Berrut and Lloyd N. Trefethen", title = "Barycentric {Lagrange} Interpolation", journal = j-SIAM-REVIEW, volume = "46", number = "3", pages = "501--517", month = sep, year = "2004", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", MRclass = "65D05", MRnumber = "MR2115059 (2005k:65018)", MRreviewer = "Mao Dong Ye", bibdate = "Sat Apr 16 12:47:32 MDT 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/46/3", URL = "http://epubs.siam.org/sam-bin/dbq/article/41771", acknowledgement = ack-nhfb, classmath = "*65D05 Interpolation (numerical methods) 65L10 Boundary value problems for ODE (numerical methods) 41A05 Interpolation 65L60 Finite numerical methods for ODE 34B15 Nonlinear boundary value problems of ODE", fjournal = "SIAM Review", keywords = "barycentric formula; Chebyshev interpolation; collocation method; Lagrange polynomial interpolation; Laurent interpolation; Newton interpolation; Sinc interpolation; stability; trigonometric interpolation", ZMnumber = "1061.65006", } @Book{Bornemann:2004:SDC, author = "Folkmar Bornemann and Dirk Laurie and Stan Wagon and J{\"o}rg Waldvogel", title = "The {SIAM} 100-digit challenge", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xii + 306", year = "2004", ISBN = "0-89871-561-X (paperback)", ISBN-13 = "978-0-89871-561-3 (paperback)", MRclass = "65-02", MRnumber = "MR2076374 (2005c:65002)", MRreviewer = "Brian Bradie", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "A study in high-accuracy numerical computing, with a foreword by David H. Bailey. See \cite{Trefethen:2002:HDH}.", price = "US\$57.00", URL = "http://www-m8.mathematik.tu-muenchen.de/m3/ftp/Bornemann/pdf/story.pdf", ZMnumber = "1060.65002", bibdate = "Tue Nov 25 07:34:14 2008", } @Article{Trefethen:2004:WPP, author = "Lloyd N. Trefethen and S. J. Chapman", title = "Wave packet pseudomodes of twisted {Toeplitz} matrices", journal = j-COMM-PURE-APPL-MATH, volume = "57", number = "9", pages = "1233--1264", year = "2004", CODEN = "CPAMAT", ISSN = "0010-3640", MRclass = "47B35 (15A57 47A75)", MRnumber = "MR2059680 (2005c:47035)", MRreviewer = "Stefano Serra Capizzano", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Communications on Pure and Applied Mathematics", bibdate = "Tue Nov 25 07:34:14 2008", } @Article{Betcke:2005:RMP, author = "Timo Betcke and Lloyd N. Trefethen", title = "Reviving the Method of Particular Solutions", journal = j-SIAM-REVIEW, volume = "47", number = "3", pages = "469--491", month = sep, year = "2005", CODEN = "SIREAD", DOI = "http://dx.doi.org/10.1137/S0036144503437336", ISSN = "0036-1445 (print), 1095-7200 (electronic)", bibdate = "Fri Dec 30 07:13:11 MST 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SIREV/47/3", URL = "http://epubs.siam.org/sam-bin/dbq/article/43733", acknowledgement = ack-nhfb, classmath = "*65N35 Collocation methods (BVP of PDE) 65F22 Ill-posedness, regularization 65N25 Numerical methods for eigenvalue problems (BVP of PDE)", keywords = "eigenvalues; method of particular solutions; subspace angles", ZMnumber = "02205852", } @Article{Kassam:2005:FOT, author = "Aly-Khan Kassam and Lloyd N. Trefethen", title = "Fourth-Order Time-Stepping for Stiff {PDEs}", journal = j-SIAM-J-SCI-COMP, volume = "26", number = "4", pages = "1214--1233", month = jul, year = "2005", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", MRclass = "65M70 (65L05 65M20)", MRnumber = "MR2143482", bibdate = "Sat Apr 16 12:07:25 MDT 2005", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; http://epubs.siam.org/sam-bin/dbq/toc/SISC/26/4", URL = "http://epubs.siam.org/sam-bin/dbq/article/41063", acknowledgement = ack-nhfb, classmath = "*65M70 Spectral, collocation and related methods (IVP of PDE) 65L05 Initial value problems for ODE (numerical methods) 65M20 Method of lines (IVP of PDE)", fjournal = "SIAM Journal on Scientific Computing", keywords = "Allen-Cahn; Burgers; ETD; exponential time-differencing; implicit-explicit; integrating factor; KdV; Kuramoto-Sivashinsky; split step", ZMnumber = "02207102", } @Book{Trefethen:2005:SP, author = "Lloyd N. Trefethen and Mark Embree", title = "Spectra and pseudospectra", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "xviii + 606", year = "2005", ISBN = "0-691-11946-5", ISBN-13 = "978-0-691-11946-5", MRclass = "15-02 (15A18 47A10 47A50)", MRnumber = "MR2155029", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "The behavior of nonnormal matrices and operators", bibdate = "Tue Nov 25 07:34:14 2008", } @Article{Trefethen:2005:WPP, author = "Lloyd N. Trefethen", title = "Wave packet pseudomodes of variable coefficient differential operators", journal = j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI, volume = "461", number = "2062", pages = "3099--3122", year = "2005", CODEN = "PRLAAZ", ISSN = "1364-5021 (print), 1471-2946 (electronic)", MRclass = "34L99 (34D09 47E05 47G30 81Q20)", MRnumber = "MR2172219", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", fjournal = "Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences", bibdate = "Tue Nov 25 07:34:14 2008", } @Article{Tee:2006:RSC, author = "T. W. Tee and Lloyd N. Trefethen", title = "A rational spectral collocation method with adaptively transformed {Chebyshev} grid points", journal = j-SIAM-J-SCI-COMP, volume = "28", number = "5", pages = "1798--1811 (electronic)", year = "2006", CODEN = "SJOCE3", ISSN = "1064-8275", MRclass = "65M70", MRnumber = "MR2272189 (2008k:65213)", MRreviewer = "Becca Thomases", fjournal = "SIAM Journal on Scientific Computing", bibdate = "Tue Nov 25 07:34:14 2008", } @InCollection{Trefethen:2006:CEP, author = "Lloyd N. Trefethen and Timo Betcke", booktitle = "Recent advances in differential equations and mathematical physics", title = "Computed eigenmodes of planar regions", volume = "412", publisher = pub-AMS, address = pub-AMS:adr, pages = "297--314", year = "2006", MRclass = "35J05 (35P05 65N25)", MRnumber = "MR2259116 (2008a:35042)", MRreviewer = "Francesco Zirilli", series = "Contemp. Math.", bibdate = "Tue Nov 25 07:34:14 2008", } @Unpublished{Trefethen:2006:FTR, author = "L. N. Trefethen and J. A. C. Weideman", title = "The Fast Trapezoid Rule in Scientific Computing", note = "Unpublished manuscript.", year = "2006", acknowledgement = ack-nhfb, bibdate = "Mon Nov 24 20:49:48 2008", } @InCollection{Trefethen:2006:NSP, author = "Nike Trefethen", booktitle = "Seminaire: {Equations aux D{\'e}riv{\'e}es Partielles}. 2005--2006", title = "Nonhermitian systems and pseudospectra", publisher = "{\'E}cole Polytechnique", address = "Palaiseau, France", pages = "x + 13", year = "2006", MRclass = "47A10 (15A18 47A50)", MRnumber = "MR2276076 (2007h:47010)", series = "S\'emin. \'Equ. D\'eriv. Partielles", bibdate = "Tue Nov 25 07:34:14 2008", } @Article{Trefethen:2006:TQR, author = "L. N. Trefethen and J. A. C. Weideman and T. Schmelzer", title = "{Talbot} quadratures and rational approximations", journal = j-BIT-NUM-MATH, volume = "46", number = "3", pages = "653--670", month = sep, year = "2006", CODEN = "BITTEL, NBITAB", DOI = "http://dx.doi.org/10.1007/s10543-006-0077-9", ISSN = "0006-3835 (print), 1572-9125 (electronic)", MRclass = "65D30; 41A20", bibdate = "Mon Nov 24 22:25:27 MST 2008", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=46&issue=3; ftp://ftp.math.utah.edu/pub/tex/bib/bit.bib", note = "In memory of Germund Dahlquist (1925--2005).", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=46&issue=3&spage=653", acknowledgement = ack-nhfb, keywords = "Carath{\'e}odory--Fej{\'e}r approximation; Hankel contour; inverse Laplace transform; quadrature; rational approximation; special functions; Talbot contour; trapezoid rule", } @Article{Schmelzer:2007:CGF, author = "Thomas Schmelzer and Lloyd N. Trefethen", title = "Computing the Gamma Function Using Contour Integrals and Rational Approximations", journal = j-SIAM-J-NUMER-ANAL, volume = "45", number = "2", pages = "558--571", month = "????", year = "2007", CODEN = "SJNAAM", DOI = "http://dx.doi.org/10.1137/050646342", ISSN = "0036-1429 (print), 1095-7170 (electronic)", bibdate = "Mon Nov 24 18:03:07 MST 2008", bibsource = "http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=45&Issue=2", acknowledgement = ack-nhfb, } @Article{Trefethen:2007:CNF, author = "Lloyd N. Trefethen", title = "Computing numerically with functions instead of numbers", journal = j-MATH-COMPUT-SCI, volume = "1", number = "1", pages = "9--19", month = dec, year = "2007", CODEN = "????", DOI = "http://dx.doi.org/10.1007/s11786-007-0001-y", ISSN = "1661-8270 (print), 1661-8289 (electronic)", MRclass = "41Axx (68W30)", MRnumber = "MR2384813", bibdate = "Thu Jul 9 15:43:39 MDT 2009", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1661-8270&volume=1&issue=1", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1661-8270&volume=1&issue=1&spage=9", acknowledgement = ack-nhfb, fjournal = "Mathematics in Computer Science", keywords = "Mathematics Subject Classification (2000); Primary 41A10; Secondary 68W30", } @Article{Weideman:2007:KPF, author = "J. A. C. Weideman and L. N. Trefethen", title = "The kink phenomenon in {Fej{\'e}r} and {Clenshaw--Curtis} quadrature", journal = j-NUM-MATH, volume = "107", number = "4", pages = "707--727", month = oct, year = "2007", CODEN = "NUMMA7", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s00211-007-0101-2", ISSN = "0029-599X (print), 0945-3245 (electronic)", MRclass = "65D30 (41A55)", MRnumber = "MR2342649 (2008i:65048)", MRreviewer = "Komali S. Sastri", bibdate = "Tue Nov 25 07:34:14 2008", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Weideman:2007:PHC, author = "J. A. C. Weideman and L. N. Trefethen", title = "Parabolic and hyperbolic contours for computing the {Bromwich} integral", journal = j-MATH-COMPUT, volume = "76", number = "259", pages = "1341--1356", month = jul, year = "2007", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", ISSN = "0025-5718", MRclass = "65D30 (44A10 65R10)", MRnumber = "MR2299777 (2008c:65072)", MRreviewer = "S. Hitotumatu", bibdate = "Tue Nov 25 07:34:14 2008", bibsource = "http://www.ams.org/mcom/2007-76-259", URL = "http://www.ams.org/mcom/2007-76-259/S0025-5718-07-01945-X/home.html; http://www.ams.org/mcom/2007-76-259/S0025-5718-07-01945-X/S0025-5718-07-01945-X.pdf; http://www.ams.org/mcom/2007-76-259/S0025-5718-07-01945-X/S0025-5718-07-01945-X.dvi; http://www.ams.org/mcom/2007-76-259/S0025-5718-07-01945-X/S0025-5718-07-01945-X.ps", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", } @Article{Hale:2008:CRM, author = "Nicholas Hale and Nicholas J. Higham and Lloyd N. Trefethen", title = "Computing {${\bf A}_\alpha,\ \log({\bf A})$}, and related matrix functions by contour integrals", journal = j-SIAM-J-NUMER-ANAL, volume = "46", number = "5", pages = "2505--2523", year = "2008", CODEN = "SJNAAM", ISSN = "0036-1429", MRclass = "65F30", MRnumber = "MR2421045", bibdate = "Tue Nov 25 07:34:14 2008", fjournal = "SIAM Journal on Numerical Analysis", } @Article{Hale:2008:NQF, author = "Nicholas Hale and Lloyd N. Trefethen", title = "New quadrature formulas from conformal maps", journal = j-SIAM-J-NUMER-ANAL, volume = "46", number = "2", pages = "930--948", year = "2008", CODEN = "SJNAAM", ISSN = "0036-1429", MRclass = "65D32 (30C20 30E10 30E20 41A10 65D30)", MRnumber = "MR2383217 (2008m:65074)", MRreviewer = "F. W. Stallmann", bibdate = "Tue Nov 25 07:34:14 2008", fjournal = "SIAM Journal on Numerical Analysis", } @Article{Trefethen:2008:GQB, author = "Lloyd N. Trefethen", title = "Is {Gauss} quadrature better than {Clenshaw--Curtis}?", journal = j-SIAM-REVIEW, volume = "50", number = "1", pages = "67--87", year = "2008", CODEN = "SIREAD", DOI = "http://dx.doi.org/10.1137/060659831", ISSN = "0036-1445", MRclass = "65D32 (41A20 41A55 41A58)", MRnumber = "MR2403058", bibdate = "Tue Nov 25 07:34:14 2008", URL = "http://link.aip.org/link/?SIR/50/67/1", fjournal = "SIAM Review", } %misc{lnt04 %,author="Lloyd N. Trefethen" %,title={Finite Difference and Spectral Methods} %,note={Graduate textbook in preparation; completion expected in 1996} %} %%% ==================================================================== %%% Cross-referenced entries must come last: @Proceedings{Anonymous:1980:PAN, editor = "Anonymous", booktitle = "{Proceedings of the 1980 Army Numerical Analysis and Computers Conference, Moffett Field, California, February 20--21, 1980}", title = "{Proceedings of the 1980 Army Numerical Analysis and Computers Conference, Moffett Field, California, February 20--21, 1980}", publisher = pub-US-ARO, address = pub-US-ARO:adr, pages = "????", year = "1980", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Tue Jan 03 14:03:41 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", note = "Six microfiches.", series = "ARO Rep. 80", acknowledgement = ack-nhfb, } @Proceedings{Butzer:1981:BCI, editor = "Paul Leo Butzer and F. (Franziska) Feh{\'e}r", booktitle = "{E. B. Christoffel}, the influence of his work on mathematics and the physical sciences", title = "{E. B. Christoffel}, the influence of his work on mathematics and the physical sciences", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "xxiv + 761", year = "1981", ISBN = "3-7643-1162-2", ISBN-13 = "978-3-7643-1162-9", LCCN = "QA7 I57 1981; QA 7 .I57 1981; QA76 .I556 1981", bibdate = "Tue Jan 3 12:47:30 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; sirsi.library.utoronto.ca:2200/UNICORN", acknowledgement = ack-nhfb, meetingname = "International Christoffel Symposium in Honour of Christoffel on the 150th Anniversary of His Birth (1979: Aachen, Germany, and Monschau, Germany)", remark = "In English, French, German, and Italian. Contains expanded versions of the twelve invited lectures given at the International Christoffel Symposium, held on November 8--11, 1979 at Achen and Monschau.", subject = "Christoffel, Edwin Bruno; Mathematics; Science", subject-dates = "1829--1900", } @Proceedings{Collatz:1982:WNM, editor = "L. (Lothar) Collatz and G{\"u}nther Meinardus and H. (Helmut) Werner", booktitle = "{Workshop on Numerical Methods of Approximation Theory, Oberwolfach, January 18--24, 1981 = Tagung {\"u}ber Numerische Methoden der Approximationstheorie, Oberwolfach, 18.--24. Januar 1981}", title = "{Workshop on Numerical Methods of Approximation Theory, Oberwolfach, January 18--24, 1981 = Tagung {\"u}ber Numerische Methoden der Approximationstheorie, Oberwolfach, 18.--24. Januar 1981}", volume = "59", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "265", year = "1982", ISBN = "3-7643-1304-8", ISBN-13 = "978-3-7643-1304-3", LCCN = "QA221 .T129n 1981; QA297.5 .N85", bibdate = "Tue Jan 3 14:12:53 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; melvyl.cdlib.org:210/CDL90", series = "Numerical methods of approximation theory; International series of numerical mathematics", acknowledgement = ack-nhfb, meetingname = "Tagung {\"u}ber Numerische Methoden der Approximationstheorie (1981: Oberwolfach, Germany)", remark = "English and German.", subject = "Approximation theory; Congresses", } @Proceedings{Chui:1983:ATI, editor = "C. K. Chui and Larry L. Schumaker and J. D. Ward", booktitle = "{Approximation theory IV: proceedings of the International Symposium on Approximation Theory held at Texas A and M University, College Station, Texas, on January 10--14, 1983}", title = "{Approximation theory IV: proceedings of the International Symposium on Approximation Theory held at Texas A and M University, College Station, Texas, on January 10--14, 1983}", publisher = pub-AP, address = pub-AP:adr, pages = "xvii + 785", year = "1983", ISBN = "0-12-174580-5", ISBN-13 = "978-0-12-174580-6", LCCN = "QA297.5 .I54 1983", bibdate = "Tue Jan 3 14:06:42 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; melvyl.cdlib.org:210/CDL90", acknowledgement = ack-nhfb, meetingname = "International Symposium on Approximation Theory (1983: Texas A and M University)", subject = "Approximation theory; Congresses", } @Proceedings{Werner:1983:CAC, editor = "H. (Helmut) Werner and others", booktitle = "{Computational aspects of complex analysis: proceedings of the NATO Advanced Study Institute held at Braunlage, Harz, Germany, July 26--August 6, 1982}", title = "{Computational aspects of complex analysis: proceedings of the NATO Advanced Study Institute held at Braunlage, Harz, Germany, July 26--August 6, 1982}", volume = "102", publisher = pub-REIDEL, address = pub-REIDEL:adr, pages = "viii + 426", year = "1983", ISBN = "90-277-1571-8", ISBN-13 = "978-90-277-1571-5", LCCN = "QA300 .N29 1982", bibdate = "Tue Jan 3 12:47:45 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; z3950.loc.gov:7090/Voyager", series = "NATO advanced study institutes series. Series C, Mathematical and physical sciences", acknowledgement = ack-nhfb, meetingname = "NATO Advanced Study Institute (1982: Braunlage, Germany)", subject = "Mathematical analysis; Data processing; Congresses; Functions of complex variables", } @Proceedings{Collatz:1984:WNM, editor = "L. (Lothar) Collatz and G{\"u}nther Meinardus and H. (Helmut) Werner", booktitle = "{Workshop on Numerical Methods of Approximation Theory, Oberwolfach, March 20--26, 1983 = Tagung {\"u}ber Numerische Methoden der Approximationstheorie, Oberwolfach, 20.-26. M{\"a}rz 1983}", title = "{Workshop on Numerical Methods of Approximation Theory, Oberwolfach, March 20--26, 1983 = Tagung {\"u}ber Numerische Methoden der Approximationstheorie, Oberwolfach, 20.-26. M{\"a}rz 1983}", volume = "67", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "148", year = "1984", ISBN = "3-7643-1580-6", ISBN-13 = "978-3-7643-1580-1", LCCN = "QA221 .T129n 1983", bibdate = "Tue Jan 3 14:00:06 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; melvyl.cdlib.org:210/CDL90", series = "Numerical methods of approximation theory; International series of numerical mathematics", acknowledgement = ack-nhfb, meetingname = "Tagung {\"u}ber Numerische Methoden der Approximationstheorie (1983: Oberwolfach, Germany)", remark = "English and German.", subject = "Approximation theory; Congresses", } @Proceedings{Graves-Morris:1984:RAI, editor = "P. R. Graves-Morris and E. B. Saff and Richard S. Varga", booktitle = "{Rational approximation and interpolation: proceedings of the United Kingdom--United States conference held at Tampa, Florida, December 12--16, 1983}", title = "{Rational approximation and interpolation: proceedings of the United Kingdom--United States conference held at Tampa, Florida, December 12--16, 1983}", volume = "1105", publisher = pub-SV, address = pub-SV:adr, pages = "xii + 528", year = "1984", ISBN = "0-387-13899-4 (U.S.)", ISBN-13 = "978-0-387-13899-2 (U.S.)", LCCN = "QA3 .L28 no. 1105; QA297", bibdate = "Tue Jan 3 14:15:32 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; z3950.loc.gov:7090/Voyager", price = "DM72.00", series = ser-LNM, acknowledgement = ack-nhfb, remark = "Conference on Rational Approximation and Interpolation, held 12/12--16/83 in Tampa, Fla., and sponsored by the U.S. National Science Foundation and the U.K. Science and Engineering Research Council.", subject = "Approximation theory; Congresses; Interpolation", } @Proceedings{Vichnevetsky:1984:ACM, editor = "R. Vichnevetsky and R. S. Stepleman", booktitle = "{Advances in computer methods for partial differential equations V: proceedings of the Fifth IMACS International Symposium on Computer Methods for Partial Differential Equations held at Lehigh University --- Bethlehem, Pennsylvania, USA., June 19--21, 1984}", title = "{Advances in computer methods for partial differential equations V: proceedings of the Fifth IMACS International Symposium on Computer Methods for Partial Differential Equations held at Lehigh University --- Bethlehem, Pennsylvania, USA., June 19--21, 1984}", publisher = pub-IMACS, address = pub-IMACS:adr, pages = "558", year = "1984", ISBN = "????", ISBN-13 = "????", LCCN = "????", bibdate = "Tue Jan 03 14:09:58 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Proceedings{Vichnevetsky:1984:IFD, editor = "R. Vichnevetsky and R. Stepleman", booktitle = "Advances in computer methods for partial differential equations-V: proceedings of the fifth IMACS International Symposium on Computer Methods for Partial Differential Equations, held at Lehigh University, Bethlehem, Pennsylvania, USA, June 19--June 21, 1984", title = "Advances in computer methods for partial differential equations-{V}: proceedings of the fifth {IMACS} International Symposium on Computer Methods for Partial Differential Equations, held at Lehigh University, Bethlehem, Pennsylvania, {USA}, June 19--June 21, 1984", publisher = pub-IMACS, address = pub-IMACS:adr, pages = "558", year = "1984", ISBN = "", ISBN-13 = "", LCCN = "QA377.I2 1984", bibdate = "Wed Jan 07 16:40:54 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", acknowledgement = ack-nhfb, } @Proceedings{Engquist:1985:LSC, editor = "Bj{\"o}rn Engquist and Stanley Osher and Richard Somerville", title = "Large-scale computations in fluid mechanics", volume = "22", publisher = pub-AMS, address = pub-AMS:adr, pages = "????", year = "1985", ISBN = "0-8218-1122-3", ISBN-13 = "978-0-8218-1122-1", LCCN = "QA901 .L37 1985", bibdate = "Tue Jan 3 14:18:30 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; z3950.loc.gov:7090/Voyager", series = "Lectures in applied mathematics", acknowledgement = ack-nhfb, remark = "Papers presented at the Fifteenth AMS--SIAM Summer Seminar on Applied Mathematics, held at Scripps Institution of Oceanography, June 27--July 8, 1983.", subject = "Fluid mechanics; Congresses; Numerical analysis", } @Proceedings{Chui:1986:ATV, editor = "C. K. Chui and Larry L. Schumaker and J. D. Ward", booktitle = "{Approximation theory V}", title = "{Approximation theory V}", publisher = pub-AP, address = pub-AP:adr, pages = "xviii + 654", year = "1986", ISBN = "0-12-174581-3", ISBN-13 = "978-0-12-174581-3", LCCN = "QA221 .S92 1986; QA221.S92", bibdate = "Tue Jan 3 14:22:17 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; library.mit.edu:9909/mit01", note = "Proceedings of the Fifth International Symposium on Approximation Theory, held at Texas A and M University on January 13--17, 1986.", acknowledgement = ack-nhfb, meetingname = "International Symposium on Approximation Theory (5th: 1986: Texas A and M University)", subject = "Approximation theory; Congresses", } @Proceedings{Griffiths:1986:NA, editor = "D. F. (David Francis) Griffiths and G. A. (G. Alistair) Watson", booktitle = "Numerical analysis", title = "Numerical analysis", volume = "140", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "262", year = "1986", ISBN = "0-470-20669-1, 0-582-98897-7", ISBN-13 = "978-0-470-20669-0, 978-0-582-98897-2", LCCN = "QA297 .N8251 1986", bibdate = "Tue Jan 3 14:22:04 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; library.ox.ac.uk:210/ADVANCE", note = "The 11th Dundee Biennial Conference on Numerical Analysis, held at the University of Dundee on 25--28 June 1985.", series = "Pitman Research Notes in Mathematics", acknowledgement = ack-nhfb, meetingname = "Dundee Conference on Numerical Analysis (11th: 1985)", subject = "Numerical analysis; Congresses", } @Proceedings{Mason:1987:AAB, editor = "J. C. Mason and M. G. Cox", booktitle = "{Algorithms for approximation: based on the proceedings of the IMA Conference on Algorithms for the Approximation of Functions and Data, held at the Royal Military College of Science, Shrivenham, July 1985}", title = "{Algorithms for approximation: based on the proceedings of the IMA Conference on Algorithms for the Approximation of Functions and Data, held at the Royal Military College of Science, Shrivenham, July 1985}", volume = "10", publisher = pub-CLARENDON-PRESS, address = pub-CLARENDON-PRESS:adr, pages = "xvi + 694 + 8", year = "1987", ISBN = "0-19-853612-7", ISBN-13 = "978-0-19-853612-3", LCCN = "QA221 .I47 1985", bibdate = "Tue Jan 3 12:20:10 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; z3950.loc.gov:7090/Voyager", price = "US\$90.00", series = "The Institute of Mathematics and Its Applications conference, new series", acknowledgement = ack-nhfb, meetingname = "IMA Conference on Algorithms for the Approximation of Functions and Data (1985: Royal Military College of Science, Shrivenham)", subject = "Approximation theory; Data processing; Congresses", } @Proceedings{Morton:1988:NMF, editor = "K. W. Morton and M. J. (Michael John) Baines", booktitle = "{Numerical methods for fluid dynamics III: based on the proceedings of a conference organized by the Institute for Computational Fluid Dynamics of the Universities of Oxford and Reading in association with the Institute of Mathematics and [its] Applications on numerical methods for fluid dynamics, held in Oxford in March 1988}", title = "{Numerical methods for fluid dynamics III: based on the proceedings of a conference organized by the Institute for Computational Fluid Dynamics of the Universities of Oxford and Reading in association with the Institute of Mathematics and [its] Applications on numerical methods for fluid dynamics, held in Oxford in March 1988}", volume = "17", publisher = pub-CLARENDON-PRESS, address = pub-CLARENDON-PRESS:adr, pages = "xvii + 529", year = "1988", ISBN = "0-19-853632-1", ISBN-13 = "978-0-19-853632-1", LCCN = "TA357 .N8726 1988", bibdate = "Tue Jan 3 12:30:04 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; z3950.loc.gov:7090/Voyager", price = "US\$75.00", series = "The Institute of Mathematics and Its Applications conference, new series", acknowledgement = ack-nhfb, subject = "Fluid dynamics; Mathematics; Congresses; Numerical calculations", } @Proceedings{Mason:1990:AAI, editor = "J. C. Mason and M. G. Cox", booktitle = "{Algorithms for approximation II: based on the proceedings of the Second International Conference on Algorithms for Approximation, held at Royal Military College of Science, Shrivenham, July 1988}", title = "{Algorithms for approximation II: based on the proceedings of the Second International Conference on Algorithms for Approximation, held at Royal Military College of Science, Shrivenham, July 1988}", publisher = pub-CHAPMAN-HALL, address = pub-CHAPMAN-HALL:adr, pages = "514", year = "1990", ISBN = "0-412-34580-3", ISBN-13 = "978-0-412-34580-7", LCCN = "QA221 .I54 1988", bibdate = "Tue Jan 3 12:32:03 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, meetingname = "International Conference on Algorithms for Approximation (2nd: 1988: Royal Military College of Science, Shrivenham, England)", subject = "Approximation theory; Data processing; Congresses", } @Proceedings{Griffiths:1991:NAP, editor = "D. F. Griffiths and G. A. Watson", booktitle = "Numerical analysis, 1991: proceedings of the 14th Dundee Conference, June 1991", title = "Numerical analysis, 1991: proceedings of the 14th Dundee Conference, June 1991", volume = "260", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "292", year = "1991", ISBN = "0-582-08908-5", ISBN-13 = "978-0-582-08908-2", LCCN = "QA297 .D85 1991", bibdate = "Mon Jan 15 11:05:56 1996", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib; ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", series = "Pitman Research Notes in Mathematics", acknowledgement = ack-nhfb, } @Book{Saff:1993:FCA, author = "E. B. Saff and Arthur David Snider", booktitle = "Fundamentals of complex analysis for mathematics, science, and engineering", title = "Fundamentals of complex analysis for mathematics, science, and engineering", publisher = pub-PH, address = pub-PH:adr, edition = "Second", pages = "xi + 468", year = "1993", ISBN = "0-13-327461-6", ISBN-13 = "978-0-13-327461-5", LCCN = "QA300 .S18 1993", bibdate = "Tue Jan 3 14:22:20 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; library.mit.edu:9909/mit01", price = "US\$48.75", acknowledgement = ack-nhfb, subject = "Mathematical analysis; Functions of complex variables", } @Proceedings{Kirchgassner:1996:IPT, editor = "Klaus Kirchgassner and Oskar Mahrenholtz and Reinhard Mennicken", booktitle = "{ICIAM 95: proceedings of the Third International Congress on Industrial and Applied Mathematics held in Hamburg, Germany, July 3--7, 1995}", title = "{ICIAM 95: proceedings of the Third International Congress on Industrial and Applied Mathematics held in Hamburg, Germany, July 3--7, 1995}", volume = "87", publisher = "Akademie Verlag", address = "Berlin, Germany", pages = "487", year = "1996", ISBN = "3-05-501682-3", ISBN-13 = "978-3-05-501682-0", LCCN = "QA1 .I73 1995", bibdate = "Sat Oct 24 15:57:08 1998", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", series = "Mathematical research", acknowledgement = ack-nhfb, } @Proceedings{Fischer:1998:PIC, editor = "Gerd Fischer and Hannes Stoppel and Ulf Rehmann", booktitle = "{Proceedings of the International Congress of Mathematicians, Berlin 1998, August 18--27}", title = "{Proceedings of the International Congress of Mathematicians, Berlin 1998, August 18--27}", publisher = "Deutscher Mathematiker-Vereinigung", address = "Bielefeld, Germany", pages = "????", year = "1998", ISSN = "1431-0635", LCCN = "QA1 .I61 1998", bibdate = "Tue Jan 3 14:20:09 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; melvyl.cdlib.org:210/CDL90", series = j-DOC-MATH, acknowledgement = ack-nhfb, fjournal = "Documenta Mathematica", meetingname = "International Congress of Mathematicians (1998: Berlin, Germany)", remark = "At head of title: Documenta mathematica, Journal der Deutschen Mathematiker-Vereinigung, extra volume ICM 1998. Volume 1: Plenary lectures and ceremonies. Volume 2--3: Invited lectures.", subject = "Mathematics; Congresses", } @Proceedings{Higham:1998:NAP, editor = "D. J. (Desmond J.) Higham and G. A. Watson and D. F. (David Francis) Griffiths", booktitle = "{Numerical analysis 1997: Proceedings of the 17th Dundee Biennial Conference, June 24--27, 1997}", title = "{Numerical analysis 1997: proceedings of the 17th Dundee Biennial Conference, June 24--27, 1997}", volume = "380", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "254", year = "1998", ISBN = "0-582-31261-2 (paperback)", ISBN-13 = "978-0-582-31261-6 (paperback)", ISSN = "0269-3674", LCCN = "QA297 .D85 1997", bibdate = "Tue Jan 3 15:19:05 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; melvyl.cdlib.org:210/CDL90", series = "Pitman Research Notes in Mathematics", acknowledgement = ack-nhfb, meetingname = "Dundee Conference on Numerical Analysis (17th: 1997)", subject = "Numerical analysis; Congresses", } @Proceedings{Ainsworth:1999:GSG, editor = "M. Ainsworth and Jeremy Levesley and Marco Marletta", title = "{The graduate student's guide to numerical analysis '98: lecture notes from the VIII EPSRC Summer School in Numerical Analysis}", volume = "26", publisher = pub-SV, address = pub-SV:adr, pages = "x + 250", year = "1999", ISBN = "3-540-65752-5", ISBN-13 = "978-3-540-65752-1", ISSN = "0179-3632", LCCN = "QA297 .E57 1998", bibdate = "Tue Jan 3 15:24:14 MST 2006", bibsource = "ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib; z3950.loc.gov:7090/Voyager", series = "Springer series in computational mathematics", acknowledgement = ack-nhfb, meetingname = "EPSRC Numerical Analysis Summer School (8th: 1998: University of Leicester)", remark = "The Eighth EPSRC Numerical Analysis Summer School was held at the University of Leicester from the 5th to the 17th of July, 1998.", subject = "Numerical analysis", } @Book{Iserles:1999:AN, author = "Arieh Iserles", booktitle = "Acta numerica 1999", title = "Acta numerica 1999", volume = "8", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "295", year = "1999", ISBN = "0-521-77088-2 (hardcover)", ISBN-13 = "978-0-521-77088-0 (hardcover)", ISSN = "0962-4929", LCCN = "????", bibdate = "Tue Jan 3 15:29:09 MST 2006", bibsource = "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC; ftp://ftp.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib", series = "Acta Numerica", acknowledgement = ack-nhfb, }