## Contents of Volume 72, Number 242

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- Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems
- So-Hsiang Chou, Do Y. Kwak and Kwang Y. Kim PDF
- Math. Comp.
**72**(2003), 525-539

- A mixed multiscale finite element method for elliptic problems with oscillating coefficients
- Zhiming Chen and Thomas Y. Hou HTML | PDF
- Math. Comp.
**72**(2003), 541-576

- Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
- Bernardo Cockburn, Mitchell Luskin, Chi-Wang Shu and Endre Süli PDF
- Math. Comp.
**72**(2003), 577-606

- Finite element approximation of $H$-surfaces
- Yuki Matsuzawa, Takashi Suzuki and Takuya Tsuchiya PDF
- Math. Comp.
**72**(2003), 607-617

- Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids
- T. P. Mathew and G. Russo PDF
- Math. Comp.
**72**(2003), 619-656

- Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model
- Ping Lin PDF
- Math. Comp.
**72**(2003), 657-675

- Optimal a priori error bounds for the Rayleigh-Ritz method
- Gerard L. G. Sleijpen, Jasper van den Eshof and Paul Smit PDF
- Math. Comp.
**72**(2003), 677-684

- One-to-one piecewise linear mappings over triangulations
- Michael S. Floater PDF
- Math. Comp.
**72**(2003), 685-696

- About the sharpness of the stability estimates in the Kreiss matrix theorem
- M. N. Spijker, S. Tracogna and B. D. Welfert PDF
- Math. Comp.
**72**(2003), 697-713

- On perturbations of matrix pencils with real spectra, a revisit
- Ren-Cang Li PDF
- Math. Comp.
**72**(2003), 715-728

- Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels
- Sheon-Young Kang, Israel Koltracht and George Rawitscher PDF
- Math. Comp.
**72**(2003), 729-756

- Existence verification for singular and nonsmooth zeros of real nonlinear systems
- Jianwei Dian and R. Baker Kearfott PDF
- Math. Comp.
**72**(2003), 757-766

- Near optimality of the sinc approximation
- Masaaki Sugihara PDF
- Math. Comp.
**72**(2003), 767-786

- Newman polynomials with prescribed vanishing and integer sets with distinct subset sums
- Peter Borwein and Michael J. Mossinghoff PDF
- Math. Comp.
**72**(2003), 787-800

- Factoring multivariate polynomials via partial differential equations
- Shuhong Gao PDF
- Math. Comp.
**72**(2003), 801-822

- Strong tractability of multivariate integration using quasi–Monte Carlo algorithms
- Xiaoqun Wang PDF
- Math. Comp.
**72**(2003), 823-838

- A mass formula for unimodular lattices with no roots
- Oliver D. King PDF
- Math. Comp.
**72**(2003), 839-863

- Relative invariants of some 2-simple prehomogeneous vector spaces
- Takeyoshi Kogiso, Go Miyabe, Miyuki Kobayashi and Tatsuo Kimura PDF
- Math. Comp.
**72**(2003), 865-889

- Nontrivial Galois module structure of cyclotomic fields
- Marc Conrad and Daniel R. Replogle PDF
- Math. Comp.
**72**(2003), 891-899

- On the linear independence measure of logarithms of rational numbers
- Qiang Wu PDF
- Math. Comp.
**72**(2003), 901-911

- Class numbers of real cyclotomic fields of prime conductor
- René Schoof PDF
- Math. Comp.
**72**(2003), 913-937

- The first known type $(7,1)$ amicable pair
- Mariano Garcia PDF
- Math. Comp.
**72**(2003), 939-940

- Constructing complete tables of quartic fields using Kummer theory
- Henri Cohen, Francisco Diaz y Diaz and Michel Olivier PDF
- Math. Comp.
**72**(2003), 941-951

- Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the gaussian integer method
- Antoine Joux and Reynald Lercier PDF
- Math. Comp.
**72**(2003), 953-967

- A computation of minimal polynomials of special values of Siegel modular functions
- Tsuyoshi Itoh PDF
- Math. Comp.
**72**(2003), 969-973

- Pseudozeros of multivariate polynomials
- J. William Hoffman, James J. Madden and Hong Zhang PDF
- Math. Comp.
**72**(2003), 975-1002

- The class number one problem for some non-abelian normal CM-fields of degree 48
- Ku-Young Chang and Soun-Hi Kwon PDF
- Math. Comp.
**72**(2003), 1003-1017

- Linear quintuple-product identities
- Richard Blecksmith and John Brillhart PDF
- Math. Comp.
**72**(2003), 1019-1033

- Lower bounds for the total stopping time of $3x + 1$ iterates
- David Applegate and Jeffrey C. Lagarias PDF
- Math. Comp.
**72**(2003), 1035-1049

- The smallest solutions to the diophantine equation $x^6+y^6=a^6+b^6+c^6+d^6+e^6$
- Giovanni Resta and Jean-Charles Meyrignac PDF
- Math. Comp.
**72**(2003), 1051-1054

##
Book Reviews

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

- Asymptotic approximations of integrals, by R. Wong.
- Collected lectures on the preservation of stability under discretization, edited by D. Estep and S. Tavener.
- Reviewer: Nico M Temme

Reviewer: John Strikwerda

- Review information PDF
- Math. Comp.
**72**(2003), 1055-1056