American Mathematical Society

Contents of Volume 74, Number 250
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Error estimates for semi-discrete gauge methods for the Navier-Stokes equations: Ricardo H. Nochetto and Jae-Hong Pyo;; Math. Comp. 74 (2005), 521-542; DOI: https://doi.org/10.1090/S0025-5718-04-01687-4; Published electronically: July 20, 2004; PDF

A new family of stable mixed finite elements for the 3D Stokes equations: Shangyou Zhang;; Math. Comp. 74 (2005), 543-554; DOI: https://doi.org/10.1090/S0025-5718-04-01711-9; Published electronically: August 31, 2004; PDF

Algorithms without accuracy saturation for evolution equations in Hilbert and Banach spaces: Ivan P. Gavrilyuk and Volodymyr L. Makarov;; Math. Comp. 74 (2005), 555-583; DOI: https://doi.org/10.1090/S0025-5718-04-01720-X; Published electronically: October 27, 2004; PDF

Trivariate spline approximations of 3D Navier-Stokes equations: Gerard Awanou and Ming-Jun Lai;; Math. Comp. 74 (2005), 585-601; DOI: https://doi.org/10.1090/S0025-5718-04-01715-6; Published electronically: September 2, 2004; PDF

A fast sweeping method for Eikonal equations: Hongkai Zhao;; Math. Comp. 74 (2005), 603-627; DOI: https://doi.org/10.1090/S0025-5718-04-01678-3; Published electronically: May 21, 2004; HTML | PDF

Linear difference equations with transition points: Z. Wang and R. Wong;; Math. Comp. 74 (2005), 629-653; DOI: https://doi.org/10.1090/S0025-5718-04-01677-1; Published electronically: May 25, 2004; PDF

Numerical indefinite integration by double exponential sinc method: Ken’ichiro Tanaka, Masaaki Sugihara and Kazuo Murota;; Math. Comp. 74 (2005), 655-679; DOI: https://doi.org/10.1090/S0025-5718-04-01724-7; Published electronically: November 2, 2004; PDF

Data-sparse approximation to a class of operator-valued functions: Ivan P. Gavrilyuk, Wolfgang Hackbusch and Boris N. Khoromskij;; Math. Comp. 74 (2005), 681-708; DOI: https://doi.org/10.1090/S0025-5718-04-01703-X; Published electronically: August 23, 2004; PDF

Strictly positive definite functions on the unit circle: Xingping Sun;; Math. Comp. 74 (2005), 709-721; DOI: https://doi.org/10.1090/S0025-5718-04-01668-0; Published electronically: May 11, 2004; PDF

Some properties of the gamma and psi functions, with applications: S.-L. Qiu and M. Vuorinen;; Math. Comp. 74 (2005), 723-742; DOI: https://doi.org/10.1090/S0025-5718-04-01675-8; Published electronically: May 18, 2004; PDF

Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting: Francis J. Narcowich, Joseph D. Ward and Holger Wendland;; Math. Comp. 74 (2005), 743-763; DOI: https://doi.org/10.1090/S0025-5718-04-01708-9; Published electronically: August 20, 2004; PDF

On variational approximations in quantum molecular dynamics: Christian Lubich;; Math. Comp. 74 (2005), 765-779; DOI: https://doi.org/10.1090/S0025-5718-04-01685-0; Published electronically: May 25, 2004; PDF

Computing periodic solutions of linear differential-algebraic equations by waveform relaxation: Yao-Lin Jiang and Richard M. M. Chen;; Math. Comp. 74 (2005), 781-804; DOI: https://doi.org/10.1090/S0025-5718-04-01665-5; Published electronically: July 20, 2004; PDF

Conjugate gradient predictor corrector method for solving large scale problems: Muhammed I. Syam;; Math. Comp. 74 (2005), 805-818; DOI: https://doi.org/10.1090/S0025-5718-04-01689-8; Published electronically: September 16, 2004; PDF

Subdivision schemes with nonnegative masks: Xinlong Zhou;; Math. Comp. 74 (2005), 819-839; DOI: https://doi.org/10.1090/S0025-5718-04-01712-0; Published electronically: October 27, 2004; PDF

An infinite family of bounds on zeros of analytic functions and relationship to Smale’s bound: Bahman Kalantari;; Math. Comp. 74 (2005), 841-852; DOI: https://doi.org/10.1090/S0025-5718-04-01686-2; Published electronically: May 28, 2004; PDF

On solving composite power polynomial equations: Yingquan Wu and Christoforos N. Hadjicostis;; Math. Comp. 74 (2005), 853-868; DOI: https://doi.org/10.1090/S0025-5718-04-01710-7; Published electronically: August 20, 2004; PDF

Computing multiple roots of inexact polynomials: Zhonggang Zeng;; Math. Comp. 74 (2005), 869-903; DOI: https://doi.org/10.1090/S0025-5718-04-01692-8; Published electronically: July 22, 2004; PDF

Computing isogeny covariant differential modular forms: Chris Hurlburt;; Math. Comp. 74 (2005), 905-926; DOI: https://doi.org/10.1090/S0025-5718-04-01721-1; Published electronically: October 29, 2004; PDF

Solutions of the congruence $a^{p-1} \equiv 1 \pmod {p^r}$: Wilfrid Keller and Jörg Richstein;; Math. Comp. 74 (2005), 927-936; DOI: https://doi.org/10.1090/S0025-5718-04-01666-7; Published electronically: June 8, 2004; PDF

$p$-class groups of certain extensions of degree $p$: Christian Wittmann;; Math. Comp. 74 (2005), 937-947; DOI: https://doi.org/10.1090/S0025-5718-04-01725-9; Published electronically: October 27, 2004; PDF

On standardized models of isogenous elliptic curves: Samir Siksek;; Math. Comp. 74 (2005), 949-951; DOI: https://doi.org/10.1090/S0025-5718-04-01690-4; Published electronically: July 7, 2004; PDF

Determinant formulas for class numbers in function fields: Hwanyup Jung, Sunghan Bae and Jaehyun Ahn;; Math. Comp. 74 (2005), 953-965; DOI: https://doi.org/10.1090/S0025-5718-04-01671-0; Published electronically: May 24, 2004; PDF

Tame kernels of cubic cyclic fields: Jerzy Browkin;; Math. Comp. 74 (2005), 967-999; DOI: https://doi.org/10.1090/S0025-5718-04-01726-0; Published electronically: October 27, 2004; PDF

A primitive trinomial of degree 6972593: Richard P. Brent, Samuli Larvala and Paul Zimmermann;; Math. Comp. 74 (2005), 1001-1002; DOI: https://doi.org/10.1090/S0025-5718-04-01673-4; Published electronically: May 25, 2004; PDF

More on the total number of prime factors of an odd perfect number: Kevin G. Hare;; Math. Comp. 74 (2005), 1003-1008; DOI: https://doi.org/10.1090/S0025-5718-04-01683-7; Published electronically: June 29, 2004; PDF

Finding $C_3$-strong pseudoprimes: Zhenxiang Zhang;; Math. Comp. 74 (2005), 1009-1024; DOI: https://doi.org/10.1090/S0025-5718-04-01693-X; Published electronically: November 2, 2004; PDF

Five consecutive positive odd numbers, none of which can be expressed as a sum of two prime powers: Yong-Gao Chen;; Math. Comp. 74 (2005), 1025-1031; DOI: https://doi.org/10.1090/S0025-5718-04-01674-6; Published electronically: July 20, 2004; PDF

Report on global methods for combinatorial isoperimetric problems, by L. H. Harper.
Adaptive finite element methods for differential equations, by Wolfgang Bangerth and Rolf Rannacher.
Automatic sequences Theory applications generalizations, by Jean-Paul Allouche and Jeffrey Shallit.
Practical extrapolation methods theory and applications, by Avram Sidi.
The Lanczos method evolution and application, by Louis Komzsik.
Finite element methods for Maxwell s equations, by Peter Monk.
Higher-order finite element methods, by Pavel Solín, Karel Segeth and Ivo Dolezel.: Reviewer: Igor Shparlinski
Reviewer: Endre Suli
Reviewer: Alf van der Poorten
Reviewer: David Levin
Reviewer: Karl Meerbergen
Reviewer: Ronald H. W. Hoppe
Reviewer: Raytcho Lazarov; Review information PDF; Math. Comp. 74 (2005), 1033-1052