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Mathematics of Computation
Journal of the American Mathematical Society
ISSN 1088-6842(e) ISSN 0025-5718(p)
     

REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS

Book reviews do not contain an abstract. You may download the entire set of reviews from this issue using the links below.

Review information:

Journal: Math. Comp. 72, 1573-1576
DOI:
10.1090/S0025-5718-03-01604-1
PII:
S 0025-5718(03)01604-1
Posted: March 27, 2003
Copyright of article: Copyright 2003, American Mathematical Society
Retrieve reviews in: PDF DVI PostScript

Finite Markov chains and algorithmic applications, by O. Häggström
London Mathematical Society Student Texts, Cambridge University Press, Cambridge, 2002, vol. 52, x + 114, hardcover, $60.00; softcover, $21.00
2000 Mathematics Subject Classification. Primary 60-01, 65C40, 65-01

Reviewed by: Denis Talay
E-mail address: denis.talay@sophia.inria.fr



Computational methods for inverse problems, by Curtis R. Vogel
Frontiers in Applied Mathematics, SIAM, Philadelphia, PA, 2002, xvi+183, hardcover, $56.00
2000 Mathematics Subject Classification. Primary 65F22, 47A52, 65J20, 65N21, 65C60, 35R30, 68U10

Reviewed by: Martin Burger
Affiliation: Industrial Mathematics Institute, Johannes Kepler University

The finite element method for elliptic problems, by P. G. Ciarlet
Classics in Applied Mathematics, SIAM, Philadelphia, PA, 2002, vol. 40, xxiv + 530, softcover, $77.00
2000 Mathematics Subject Classification. Primary 65-02, 65N30, 65N15, 65N12

Reviewed by: Lars B. Wahlbin

References:

1.
O.C. Zienkiewicz, The finite element method in engineering science, McGraw-Hill, London, 1971. MR 47:4518

2.
Jean-Pierre Aubin, Approximation of elliptic boundary-value problems, Pure and Applied Mathematics, Vol. XXVI. Wiley-Interscience, 1972. MR 57:18139

3.
I. Babuska and A.K. Aziz, Survey lectures on the mathematical foundations of the finite element method, in: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations (A.K. Aziz, Ed.), pp. 3-359, Academic Press, New York, 1972. MR 54:9111.

4.
Gilbert Strang and George J. Fix, An analysis of the finite element method, Prentice-Hall, Englewood Cliffs, NJ, 1973. MR 56:1747.

5.
P.M. Prenter, Splines and variational methods, John Wiley and Sons, New York, 1975. MR 58:3287

6.
P.G. Ciarlet, Basic error estimates for elliptic problems, in: Handbook of Numerical Analysis, Volume II, Finite Element Methods, Part 1 (P.G. Ciarlet and J.L. Lions, Eds.), pp. 17-352, North-Holland Amsterdam, 1991. MR 91f:61005


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