American Mathematical Society

Contents of Volume 70, Number 236
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A posteriori error control in low-order finite element discretisations of incompressible stationary flow problems: Carsten Carstensen and Stefan A. Funken;; Math. Comp. 70 (2001), 1353-1381; DOI: https://doi.org/10.1090/S0025-5718-00-01264-3; Published electronically: October 27, 2000; PDF

A posteriori error estimator for a mixed finite element method for Reissner-Mindlin plate: Elsa Liberman;; Math. Comp. 70 (2001), 1383-1396; DOI: https://doi.org/10.1090/S0025-5718-00-01289-8; Published electronically: November 17, 2000; PDF

Stabilized wavelet approximations of the Stokes problem: Claudio Canuto and Roland Masson;; Math. Comp. 70 (2001), 1397-1416; DOI: https://doi.org/10.1090/S0025-5718-00-01263-1; Published electronically: July 21, 2000; PDF

A spectral method for the Stokes problem in three-dimensional unbounded domains: L. Halpern;; Math. Comp. 70 (2001), 1417-1436; DOI: https://doi.org/10.1090/S0025-5718-01-01269-8; Published electronically: February 8, 2001; PDF

Error estimates for the finite element approximation of linear elastic equations in an unbounded domain: Houde Han and Weizhu Bao;; Math. Comp. 70 (2001), 1437-1459; DOI: https://doi.org/10.1090/S0025-5718-00-01285-0; Published electronically: October 18, 2000; PDF

A dual-dual mixed formulation for nonlinear exterior transmission problems: Gabriel N. Gatica and Salim Meddahi;; Math. Comp. 70 (2001), 1461-1480; DOI: https://doi.org/10.1090/S0025-5718-00-01267-9; Published electronically: May 23, 2000; PDF

Convergence of a splitting method of high order for reaction-diffusion systems: Stéphane Descombes;; Math. Comp. 70 (2001), 1481-1501; DOI: https://doi.org/10.1090/S0025-5718-00-01277-1; Published electronically: July 11, 2000; PDF

The numerical solution of integral-algebraic equations of index 1 by polynomial spline collocation methods: J.-P. Kauthen;; Math. Comp. 70 (2001), 1503-1514; DOI: https://doi.org/10.1090/S0025-5718-00-01257-6; Published electronically: March 30, 2000; PDF

The parameterized $SR$ algorithm for symplectic (butterfly) matrices: H. Faßbender;; Math. Comp. 70 (2001), 1515-1541; DOI: https://doi.org/10.1090/S0025-5718-00-01265-5; Published electronically: June 27, 2000; PDF

Tensor product Gauss-Lobatto points are Fekete points for the cube: L. Bos, M. A. Taylor and B. A. Wingate;; Math. Comp. 70 (2001), 1543-1547; DOI: https://doi.org/10.1090/S0025-5718-00-01262-X; Published electronically: April 19, 2000; PDF

Three- and four-dimensional $K$-optimal lattice rules of moderate trigonometric degree: Ronald Cools and James N. Lyness;; Math. Comp. 70 (2001), 1549-1567; DOI: https://doi.org/10.1090/S0025-5718-01-01326-6; Published electronically: May 14, 2001; PDF

On the distribution of inversive congruential pseudorandom numbers in parts of the period: Harald Niederreiter and Igor E. Shparlinski;; Math. Comp. 70 (2001), 1569-1574; DOI: https://doi.org/10.1090/S0025-5718-00-01273-4; Published electronically: June 12, 2000; PDF

On the distribution of the power generator: John B. Friedlander and Igor E. Shparlinski;; Math. Comp. 70 (2001), 1575-1589; DOI: https://doi.org/10.1090/S0025-5718-00-01283-7; Published electronically: October 17, 2000; PDF

Period of the power generator and small values of Carmichael’s function: John B. Friedlander, Carl Pomerance and Igor E. Shparlinski;; Math. Comp. 70 (2001), 1591-1605; DOI: https://doi.org/10.1090/S0025-5718-00-01282-5; Published electronically: July 13, 2000; PDF

Localization of the first zero of the Dedekind zeta function: Sami Omar;; Math. Comp. 70 (2001), 1607-1616; DOI: https://doi.org/10.1090/S0025-5718-01-01305-9; Published electronically: March 7, 2001; PDF

Jacobi sums and new families of irreducible polynomials of Gaussian periods: F. Thaine;; Math. Comp. 70 (2001), 1617-1640; DOI: https://doi.org/10.1090/S0025-5718-01-01312-6; Published electronically: May 11, 2001; PDF

On the computation of all extensions of a $p$-adic field of a given degree: Sebastian Pauli and Xavier-François Roblot;; Math. Comp. 70 (2001), 1641-1659; DOI: https://doi.org/10.1090/S0025-5718-01-01306-0; Published electronically: March 8, 2001; PDF

Sieving for rational points on hyperelliptic curves: Samir Siksek;; Math. Comp. 70 (2001), 1661-1674; DOI: https://doi.org/10.1090/S0025-5718-01-01275-3; Published electronically: March 7, 2001; PDF

Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves: E. Victor Flynn, Franck Leprévost, Edward F. Schaefer, William A. Stein, Michael Stoll and Joseph L. Wetherell;; Math. Comp. 70 (2001), 1675-1697; DOI: https://doi.org/10.1090/S0025-5718-01-01320-5; Published electronically: May 11, 2001; PDF

Density of cubic field discriminants: David P. Roberts;; Math. Comp. 70 (2001), 1699-1705; DOI: https://doi.org/10.1090/S0025-5718-00-01291-6; Published electronically: October 18, 2000; PDF

On Iwasawa $\lambda _3$-invariants of cyclic cubic fields of prime conductor: Takashi Fukuda and Keiichi Komatsu;; Math. Comp. 70 (2001), 1707-1712; DOI: https://doi.org/10.1090/S0025-5718-00-01284-9; Published electronically: November 13, 2000; PDF

Dense admissible sequences: David A. Clark and Norman C. Jarvis;; Math. Comp. 70 (2001), 1713-1718; DOI: https://doi.org/10.1090/S0025-5718-01-01348-5; Published electronically: March 22, 2001; PDF

Parallel integer relation detection: Techniques and applications: David H. Bailey and David J. Broadhurst;; Math. Comp. 70 (2001), 1719-1736; DOI: https://doi.org/10.1090/S0025-5718-00-01278-3; Published electronically: July 3, 2000; PDF

Finding prime pairs with particular gaps: Pamela A. Cutter;; Math. Comp. 70 (2001), 1737-1744; DOI: https://doi.org/10.1090/S0025-5718-01-01327-8; Published electronically: May 11, 2001; PDF

Verifying the Goldbach conjecture up to $4\cdot 10^{14}$: Jörg Richstein;; Math. Comp. 70 (2001), 1745-1749; DOI: https://doi.org/10.1090/S0025-5718-00-01290-4; Published electronically: July 18, 2000; PDF

Nonholonomic motion of rigid mechanical systems from a DAE viewpoint, by Patrick J. Rabier and Werner C. Rheinboldt.
Trust-region methods, by Andrew R. Conn, Nicholas I. M. Gould and Philippe L. Toint.
Fast reliable algorithms for matrices with structure, edited by T. Kailath and A. H. Sayed.
Elliptic curves in cryptography, by Ian Blake, Gadiel Seroussi and Nigel Smart.: Reviewer: Martin Arnold
Reviewer: Ya-xiang Yuan
Reviewer: L Elsner
Reviewers: Preda Mihailescu and F Pappalardi; Review information PDF; Math. Comp. 70 (2001), 1751-1759