## Contents of Volume 72, Number 243

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- A conforming finite element method for overlapping and nonmatching grids
- Yunqing Huang and Jinchao Xu PDF
- Math. Comp.
**72**(2003), 1057-1066

- Local problems on stars: A posteriori error estimators, convergence, and performance
- Pedro Morin, Ricardo H. Nochetto and Kunibert G. Siebert HTML | PDF
- Math. Comp.
**72**(2003), 1067-1097

- Finite element approximation of spectral problems with Neumann boundary conditions on curved domains
- Erwin Hernández and Rodolfo Rodríguez PDF
- Math. Comp.
**72**(2003), 1099-1115

- Hybrid finite element methods for the Signorini problem
- F. Ben Belgacem and Y. Renard PDF
- Math. Comp.
**72**(2003), 1117-1145

- Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
- Zhimin Zhang PDF
- Math. Comp.
**72**(2003), 1147-1177

- The $hp$-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
- Ilaria Perugia and Dominik Schötzau PDF
- Math. Comp.
**72**(2003), 1179-1214

- An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems
- Caroline Lasser and Andrea Toselli PDF
- Math. Comp.
**72**(2003), 1215-1238

- On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws
- Robert Kirby PDF
- Math. Comp.
**72**(2003), 1239-1250

- On the convergence of entropy consistent schemes for lubrication type equations in multiple space dimensions
- Günther Grün PDF
- Math. Comp.
**72**(2003), 1251-1279

- Analysis of multilevel methods for eddy current problems
- R. Hiptmair PDF
- Math. Comp.
**72**(2003), 1281-1303

- How to prove that a preconditioner cannot be superlinear
- S. Serra Capizzano and E. Tyrtyshnikov PDF
- Math. Comp.
**72**(2003), 1305-1316

- A family of hybrid conjugate gradient methods for unconstrained optimization
- Yu-Hong Dai PDF
- Math. Comp.
**72**(2003), 1317-1328

- The spectra of large Toeplitz band matrices with a randomly perturbed entry
- A. Böttcher, M. Embree and V. I. Sokolov PDF
- Math. Comp.
**72**(2003), 1329-1348

- $L_p$-error estimates for “shifted” surface spline interpolation on Sobolev space
- Jungho Yoon PDF
- Math. Comp.
**72**(2003), 1349-1367

- Piecewise quadratic trigonometric polynomial curves
- Xuli Han PDF
- Math. Comp.
**72**(2003), 1369-1377

- Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants
- Rick Kreminski PDF
- Math. Comp.
**72**(2003), 1379-1397

- The approximate inverse in action II: convergence and stability
- Andreas Rieder and Thomas Schuster PDF
- Math. Comp.
**72**(2003), 1399-1415

- Efficient solution of rational conics
- J. E. Cremona and D. Rusin PDF
- Math. Comp.
**72**(2003), 1417-1441

- A fast algorithm for testing reducibility of trinomials mod 2 and some new primitive trinomials of degree 3021377
- Richard P. Brent, Samuli Larvala and Paul Zimmermann PDF
- Math. Comp.
**72**(2003), 1443-1452

- Short universal generators via generalized ratio-of-uniforms method
- Josef Leydold PDF
- Math. Comp.
**72**(2003), 1453-1471

- Hidden number problem with hidden multipliers, timed-release crypto, and noisy exponentiation
- Nick A. Howgrave-Graham, Phong Q. Nguyen and Igor E. Shparlinski PDF
- Math. Comp.
**72**(2003), 1473-1485

- Sums of heights of algebraic numbers
- Gregory P. Dresden PDF
- Math. Comp.
**72**(2003), 1487-1499

- The tame kernel of imaginary quadratic fields with class number 2 or 3
- Hong You and Sheng Chen PDF
- Math. Comp.
**72**(2003), 1501-1509

- On the orbit-stabilizer problem for integral matrix actions of polycyclic groups
- Bettina Eick and Gretchen Ostheimer PDF
- Math. Comp.
**72**(2003), 1511-1529

- Computing the multiplicative group of residue class rings
- Florian Heß, Sebastian Pauli and Michael E. Pohst PDF
- Math. Comp.
**72**(2003), 1531-1548

- Odd perfect numbers have a prime factor exceeding $10^{7}$
- Paul M. Jenkins PDF
- Math. Comp.
**72**(2003), 1549-1554

- The twenty-fourth Fermat number is composite
- Richard E. Crandall, Ernst W. Mayer and Jason S. Papadopoulos PDF
- Math. Comp.
**72**(2003), 1555-1572

##
Book Reviews

Book reviews do not contain an abstract. You may
download each review in this issue using the links
below.

- Finite Markov chains and algorithmic applications, by O. Häggström.
- Computational methods for inverse problems, by Curtis R. Vogel.
- The finite element method for elliptic problems, by P. G. Ciarlet.
- Reviewer: Denis Talay

Reviewer: Martin Burger

Reviewer: Lars B. Wahlbin

- Review information PDF
- Math. Comp.
**72**(2003), 1573-1576