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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS

Review information:

Journal: Math. Comp. 70 (2001), 1335-1352
DOI: https://doi.org/10.1090/S0025-5718-01-01388-6
Published electronically: March 30, 2001
Review copyright: © Copyright 2001 American Mathematical Society
Full text: PDF   This review is available free of charge.


$p$- and $hp$-finite element methods. Theory and applications in solid and fluid mechanics, by Ch. Schwab
Additional book information: Oxford Science Publications, Clarendon Press, 1998, xii+374 pp., $85.00
MSC (2000): Primary 65N30, 75V05, 76M10

Reviewed by: Mark Ainsworth
Affiliation: Mathematics Department, University of California Los Angeles, Los Angeles, CA 90095-1555
Spectral methods in Matlab, by Lloyd N. Trefethen
Additional book information: SIAM, Philadelphia, PA, 2000, xvi+165 pp., $36.00
MSC (2000): Primary 41A10, 42A10, 65M70, 65T10

Reviewed by: Chi-Wang Shu
Generalized difference methods for differential equations. Numerical analysis of finite volume methods, by Ronghua Li, Zhongying Chen and Wei Wu
Additional book information: Marcel Dekker, New York, 2000, xv+442 pp., $175.00
MSC (2000): Primary 65-02, 65N06, 65N30

Reviewed by: Raytcho Lazarov
Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
Computer methods for ordinary differential equations and differential-algebraic equations, by Uri M. Ascher and Linda R. Petzold
Additional book information: SIAM, Philadelphia, PA, 1998, xvii+314 pp., $36.50
MSC (2000): Primary 65-01, 65L05, 65L06, 65L10, 65L12, 65L99

Reviewed by: Rozwitha März
Affiliation: Institute of Mathematics, Humboldt-University of Berlin, D-10099 Berlin, Germany
Geometric integration: numerical solution of differential equations, edited by C. J. Budd and A. Iserles
Additional book information: vol. 157, no. 1754, edited by C. J. Budd and A. Iserles, Philosophical Transactions of the Royal Society, Mathematical, Physical and Engineering Sciences, The Royal Society, UK, no. 1754, April 1999, pp. 943--1133;
MSC (2000): Primary 65L05, 34A50, 58F99

Reviewed by: Ernst Hairer
Affiliation: Université de Geneve, Section de Mathematiques, 2 rue Du Lievre, CP240, CH-1211 Geneva 24, Switzerland
Dynamical systems and numerical analysis, by A. M. Stuart and A. R. Humphries
Additional book information: Cambridge University Press, New York, 1998, xxi+685 pp., $65.95; $39.95, softcover
MSC (2000): Primary 37Mxx, 65Pxx

Reviewed by: Rozwitha März
Affiliation: Institute of Mathematics, Humboldt-University of Berlin, D-10099 Berlin, Germany
Computer solution of large linear systems, by Gerard Meurant
Additional book information: North Holland, Amsterdam, 1999, xxii+753 pp., $149.50
MSC (2000): Primary 65N30, 75V05, 76M10

Reviewed by: Brian Suchomel
Affiliation: Department of Computer Science and Engineering, University of Minnesota, Minneapolis, Minnesota 55455
Character sums with exponential functions and their applications, by Sergei Konyagin and Igor Shparlinski
Additional book information: Cambridge University Press, New York, 1999, viii+163 pp., $49.95
MSC (2000): Primary 11L05, 11L40, 65C10, 94A60, 94B05

Reviewed by: Harald Niederreiter
The algorithmic resolution of Diophantine equations, by Nigel P. Smart
Additional book information: Cambridge University Press, New York, 1999, xvi+243 pp., $69.95; $26.95, softcover
MSC (2000): Primary 11-02, 11Dxx

Reviewed by: P. G. Walsh
Affiliation: Department of Mathematics, University of Ottawa, 585 King Edward St., Ottawa, Ontario, Canada, K1N-6N5
Email: gwalsh@mathstat.uottawa.ca
Journal: Math. Comp. 70 (2001), 1335-1352
DOI: https://doi.org/10.1090/S0025-5718-01-01388-6
Published electronically: March 30, 2001
Review copyright: © Copyright 2001 American Mathematical Society