American Mathematical Society

Contents of Volume 71, Number 239
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Approximation by quadrilateral finite elements: Douglas N. Arnold, Daniele Boffi and Richard S. Falk;; Math. Comp. 71 (2002), 909-922; DOI: https://doi.org/10.1090/S0025-5718-02-01439-4; Published electronically: March 22, 2002; HTML | PDF

Analysis of a bilinear finite element for shallow shells I: Approximation of inextensional deformations: Ville Havu and Juhani Pitkäranta;; Math. Comp. 71 (2002), 923-943; DOI: https://doi.org/10.1090/S0025-5718-01-01376-X; Published electronically: November 20, 2001; PDF

Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM: Carsten Carstensen and Sören Bartels;; Math. Comp. 71 (2002), 945-969; DOI: https://doi.org/10.1090/S0025-5718-02-01402-3; Published electronically: February 4, 2002; HTML | PDF

Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM: Sören Bartels and Carsten Carstensen;; Math. Comp. 71 (2002), 971-994; DOI: https://doi.org/10.1090/S0025-5718-02-01412-6; Published electronically: February 4, 2002; PDF

Three-point finite-difference schemes, Padé and the spectral Galerkin method. I. One-sided impedance approximation: Vladimir Druskin and Shari Moskow;; Math. Comp. 71 (2002), 995-1019; DOI: https://doi.org/10.1090/S0025-5718-01-01349-7; Published electronically: November 19, 2001; PDF

Numerical computation of viscous profiles for hyperbolic conservation laws: Heinrich Freistühler and Christian Rohde;; Math. Comp. 71 (2002), 1021-1042; DOI: https://doi.org/10.1090/S0025-5718-01-01340-0; Published electronically: October 26, 2001; PDF

Hermite interpolation of nonsmooth functions preserving boundary conditions: V. Girault and L. R. Scott;; Math. Comp. 71 (2002), 1043-1074; DOI: https://doi.org/10.1090/S0025-5718-02-01446-1; Published electronically: January 17, 2002; PDF

The dynamical behavior of the discontinuous Galerkin method and related difference schemes: Donald J. Estep and Andrew M. Stuart;; Math. Comp. 71 (2002), 1075-1103; DOI: https://doi.org/10.1090/S0025-5718-01-01364-3; Published electronically: November 21, 2001; PDF

Convergence rate analysis of an asynchronous space decomposition method for convex Minimization: Xue-Cheng Tai and Paul Tseng;; Math. Comp. 71 (2002), 1105-1135; DOI: https://doi.org/10.1090/S0025-5718-01-01344-8; Published electronically: November 14, 2001; PDF

Estimates of $\theta (x;k,l)$ for large values of $x$: Pierre Dusart;; Math. Comp. 71 (2002), 1137-1168; DOI: https://doi.org/10.1090/S0025-5718-01-01351-5; Published electronically: November 21, 2001; PDF

Approximation of the Hilbert Transform on the real line using Hermite zeros: M. C. De Bonis, B. Della Vecchia and G. Mastroianni;; Math. Comp. 71 (2002), 1169-1188; DOI: https://doi.org/10.1090/S0025-5718-01-01338-2; Published electronically: October 25, 2001; PDF

Efficient computation of the extreme solutions of $X+A^*X^{-1}A=Q$ and $X-A^*X^{-1}A=Q$: Beatrice Meini;; Math. Comp. 71 (2002), 1189-1204; DOI: https://doi.org/10.1090/S0025-5718-01-01368-0; Published electronically: November 20, 2001; PDF

On a problem of Byrnes concerning polynomials with restricted coefficients, II: David W. Boyd;; Math. Comp. 71 (2002), 1205-1217; DOI: https://doi.org/10.1090/S0025-5718-01-01360-6; Published electronically: May 11, 2001; PDF

Smooth ideals in hyperelliptic function fields: Andreas Enge and Andreas Stein;; Math. Comp. 71 (2002), 1219-1230; DOI: https://doi.org/10.1090/S0025-5718-01-01352-7; Published electronically: October 4, 2001; PDF

Efficient lattice assessment for LCG and GLP parameter searches: Karl Entacher, Thomas Schell and Andreas Uhl;; Math. Comp. 71 (2002), 1231-1242; DOI: https://doi.org/10.1090/S0025-5718-01-01415-6; Published electronically: December 21, 2001; PDF

Evaluation of zeta function of the simplest cubic field at negative odd integers: Hyun Kwang Kim and Jung Soo Kim;; Math. Comp. 71 (2002), 1243-1262; DOI: https://doi.org/10.1090/S0025-5718-02-01395-9; Published electronically: January 11, 2002; PDF

The irreducibility of some level 1 Hecke polynomials: D. W. Farmer and K. James;; Math. Comp. 71 (2002), 1263-1270; DOI: https://doi.org/10.1090/S0025-5718-01-01375-8; Published electronically: June 22, 2001; PDF

A computational approach to Hilbert modular group fixed points: Jesse Ira Deutsch;; Math. Comp. 71 (2002), 1271-1280; DOI: https://doi.org/10.1090/S0025-5718-01-01403-X; Published electronically: December 21, 2001; PDF

Thue’s theorem and the diophantine equation $x^2-Dy^2=\pm N$: Keith Matthews;; Math. Comp. 71 (2002), 1281-1286; DOI: https://doi.org/10.1090/S0025-5718-01-01381-3; Published electronically: September 17, 2001; PDF

Solving norm equations in relative number fields using $S$-units: Denis Simon;; Math. Comp. 71 (2002), 1287-1305; DOI: https://doi.org/10.1090/S0025-5718-02-01309-1; Published electronically: January 11, 2002; PDF

On the least prime primitive root modulo a prime: A. Paszkiewicz and A. Schinzel;; Math. Comp. 71 (2002), 1307-1321; DOI: https://doi.org/10.1090/S0025-5718-02-01370-4; Published electronically: January 17, 2002; PDF

Ten consecutive primes in arithmetic progression: H. Dubner, T. Forbes, N. Lygeros, M. Mizony, H. Nelson and P. Zimmermann;; Math. Comp. 71 (2002), 1323-1328; DOI: https://doi.org/10.1090/S0025-5718-01-01374-6; Published electronically: November 28, 2001; PDF

Corrigenda to “New primitive $t$-nomials $(t=3,5)$ over $GF(2)$ whose degree is a Mersenne exponent,” and some new primitive pentanomials: Toshihiro Kumada, Hannes Leeb, Yoshiharu Kurita and Makoto Matsumoto;; Math. Comp. 71 (2002), 1337-1338; DOI: https://doi.org/10.1090/S0025-5718-02-01487-4; Published electronically: April 1, 2002; PDF

Time-dependent partial differential equations and their numerical solution, by Heinz-Otto Kreiss and Hedwig Ulmer Busenhart.
Foundations of computational mathematics, edited by Ronald A. Devore, Arieh Iserles and Endre Suli.
Templates for the solution of algebraic eigenvalue problems, a practical guide, edited by Zhaojun Bai, James Demmel, Jack Dongarra, Axel Ruhe and Henk van der Vorst.
Geometric partial differential equations and image analysis, by Guillermo Sapiro.
Fundamental problems of algorithmic algebra, by Chee Keng Yap.
Cryptography and computational number theory, edited by Kwok-Yan Lam, Igor Shparlinski, Huaxiong Wang and Chaoping Xing.: Reviewer: Chi-Wang Shu
Reviewer: Lars B. Wahlbin
Reviewer: Lars Eldén
Reviewer: Luminita Vese
Reviewer: Arjeh M. Cohen
Reviewer: Harald Niederreiter; Review information PDF; Math. Comp. 71 (2002), 1329-1334