Mathematics of Computation, Volume 72
Volume 72, Number 241, 2003
Jayadeep Gopalakrishnan, Joseph E. Pasciak: Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations. 1-15- Andrew Knyazev, Olof B. Widlund: Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. 17-40
- Rob Stevenson: A stable, direct solver for the gradient equation. 41-53
- Rob Stevenson: An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element. 55-81
- Zakaria Belhachmi, Faker Ben Belgacem: Quadratic finite element approximation of the Signorini problem. 83-104
- L. Vardapetyan, Leszek F. Demkowicz: Full-wave analysis of dielectric waveguides at a given frequency. 105-129
- Ramaz Botchorishvili, Benoit Perthame, Alexis Vasseur: Equilibrium schemes for scalar conservation laws with stiff sources. 131-157
- Yen-Hsi Richard Tsai, Yoshikazu Giga, Stanley Osher: A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations. 159-181
- Albert Cohen, Sidi Mahmoud Kaber, Siegfried Müller, Marie Postel: Fully adaptive multiresolution finite volume schemes for conservation laws. 183-225
- Hailiang Liu: The l global decay to discrete shocks for scalar monotone schemes. 227-245
- A. J. Roberts: A holistic finite difference approach models linear dynamics consistently. 247-262
- Howard C. Elman, Alison Ramage: A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation. 263-288
- Othmar Koch, Ewa Weinmüller: The convergence of shooting methods for singular boundary value problems. 289-305
- Lung-An Ying: Convergence study of the Chorin-Marsden formula. 307-333
- Ming-Jun Lai, Larry L. Schumaker: Macro-elements and stable local bases for splines on Powell-Sabin triangulations. 335-354
- Marko Huhtanen: Orthogonal polyanalytic polynomials and normal matrices. 355-373
- Tai-Lin Wang, William B. Gragg: Convergence of the unitary $QR$ algorithm with a unimodular Wilkinson shift. 375-385
- Colin Percival: Rapid multiplication modulo the sum and difference of highly composite numbers. 387-395
- Avram Sidi: A convergence and stability study of the iterated Lubkin transformation and the Theta-algorithm. 419-433
- Annegret Weng: Constructing hyperelliptic curves of genus 2 suitable for cryptography. 435-458
- Berit Skjernaa: Satoh's algorithm in characteristic 2. 477-487
- Patrick J. Costello: New amicable pairs of type (2, 2) and type (3, 2). 489-497
- Michael J. Jacobson Jr., Hugh C. Williams: New quadratic polynomials with high densities of prime values. 499-519
- Alfred J. van der Poorten, Herman J. J. te Riele, Hugh C. Williams: Corrigenda and addition to "Computer verification of the Ankeny-Artin-Chowla conjecture for all primes less than 100 000 000 000". 521-523
Volume 72, Number 242, 2003
- So-Hsiang Chou, Do Y. Kwak, Kwang Y. Kim: Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems. 525-539
- Zhiming Chen, Thomas Y. Hou: A mixed multiscale finite element method for elliptic problems with oscillating coefficients. 541-576
- Bernardo Cockburn, Mitchell Luskin, Chi-Wang Shu, Endre Süli: Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. 577-606
- Yuki Matsuzawa, Takashi Suzuki, Takuya Tsuchiya: Finite element approximation of H - surfaces. 607-617
- Tarek P. Mathew, G. Russo: Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids. 619-656
- Ping Lin: Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model. 657-675
- Gerard L. G. Sleijpen, Jasper van den Eshof, Paul Smit: Optimal a priori error bounds for the Rayleigh-Ritz method. 677-684
- Michael S. Floater: One-to-one piecewise linear mappings over triangulations. 685-696
- Marc Nico Spijker, S. Tracogna, Bruno D. Welfert: About the sharpness of the stability estimates in the Kreiss matrix theorem. 697-713
- Ren-Cang Li: On perturbations of matrix pencils with real spectra, a revisit. 715-728
- Sheon-Young Kang, Israel Koltracht, George Rawitscher: Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels. 729-756
- Jianwei Dian, R. Baker Kearfott: Existence verification for singular and nonsmooth zeros of real nonlinear systems. 757-766
- Masaaki Sugihara: Near optimality of the sinc approximation. 767-786
- Peter B. Borwein, Michael J. Mossinghoff: Newman polynomials with prescribed vanishing and integer sets with distinct subset sums. 787-800
- Shuhong Gao: Factoring multivariate polynomials via partial differential equations. 801-822
- Xiaoqun Wang: Strong tractability of multivariate integration using quasi-Monte Carlo algorithms. 823-838
- Oliver D. King: A mass formula for unimodular lattices with no roots. 839-863
- Takeyoshi Kogiso, Go Miyabe, Miyuki Kobayashi, Tatsuo Kimura: Relative invariants of some 2-simple prehomogeneous vector spaces. 865-889
- Qiang Wu: On the linear independence measure of logarithms of rational numbers. 901-911
- René Schoof: Class numbers of real cyclotomic fields of prime conductor. 913-937
- Mariano Garcia: The first known type (7, 1) amicable pair. 939-940
- Henri Cohen, Francisco Diaz y Diaz, Michel Olivier: Constructing complete tables of quartic fields using Kummer theory. 941-951
- Antoine Joux, Reynald Lercier: Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the gaussian integer method. 953-967
- Tsuyoshi Itoh: A computation of minimal polynomials of special values of Siegel modular functions. 969-973
- Ku-Young Chang, Soun-Hi Kwon: The class number one problem for some non-abelian normal CM-fields of degree 48. 1003-1017
- David Applegate, Jeffrey C. Lagarias: Lower bounds for the total stopping time of 3x + 1 iterates. 1035-1049
- Giovanni Resta, Jean-Charles Meyrignac: The smallest solutions to the diophantine equation x6 + y6 = a6 + b6 +c6 + d6 + e6. 1051-1054
Volume 72, Number 243, 2003
- Yunqing Huang, Jinchao Xu: A conforming finite element method for overlapping and nonmatching grids. 1057-1066
- Pedro Morin, Ricardo H. Nochetto, Kunibert G. Siebert: Local problems on stars: A posteriori error estimators, convergence, and performance. 1067-1097
- Erwin Hernández, Rodolfo Rodríguez: Finite element approximation of spectral problems with Neumann boundary conditions on curved domains. 1099-1115
- Zhimin Zhang: Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems. 1147-1177
- Ilaria Perugia, Dominik Schötzau: The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations. 1179-1214
- Caroline Lasser, Andrea Toselli: An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems. 1215-1238
- Robert Kirby: On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws. 1239-1250
- Günther Grün: On the convergence of entropy consistent schemes for lubrication type equations in multiple space dimensions. 1251-1279
- Ralf Hiptmair: Analysis of multilevel methods for eddy current problems. 1281-1303
- Stefano Serra Capizzano, E. Tyrtyshnikov: How to prove that a preconditioner cannot be superlinear. 1305-1316
- Yu-Hong Dai: A family of hybrid conjugate gradient methods for unconstrained optimization. 1317-1328
- Albrecht Böttcher, Mark Embree, V. I. Sokolov: The spectra of large Toeplitz band matrices with a randomly perturbed entry. 1329-1348
- Jungho Yoon: Lp-error estimates for "shifted'' surface spline interpolation on Sobolev space. 1349-1367
- Xuli Han: Piecewise quadratic trigonometric polynomial curves. 1369-1377
- Rick Kreminski: Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants. 1379-1397
- Andreas Rieder, Thomas Schuster: The approximate inverse in action II: convergence and stability. 1399-1415
- Richard P. Brent, Samuli Larvala, Paul Zimmermann: A fast algorithm for testing reducibility of trinomials mod~2 and some new primitive trinomials of degree 3021377. 1443-1452
- Josef Leydold: Short universal generators via generalized ratio-of-uniforms method. 1453-1471
- Nick Howgrave-Graham, Phong Q. Nguyen, Igor Shparlinski: Hidden number problem with hidden multipliers, timed-release crypto, and noisy exponentiation. 1473-1485
- Gregory P. Dresden: Sums of heights of algebraic numbers. 1487-1499
- Hong You, Sheng Chen: The tame kernel of imaginary quadratic fields with class number 2 or 3. 1501-1509
- Bettina Eick, Gretchen Ostheimer: On the orbit-stabilizer problem for integral matrix actions of polycyclic groups. 1511-1529
- Florian Hess, Sebastian Pauli, Michael E. Pohst: Computing the multiplicative group of residue class rings. 1531-1548
- Paul M. Jenkins: Odd perfect numbers have a prime factor exceeding 107. 1549-1554
- Richard E. Crandall, Ernst W. Mayer, Jason S. Papadopoulos: The twenty-fourth Fermat number is composite. 1555-1572
Volume 72, Number 244, 2003
- Constantin Bacuta, James H. Bramble, Jinchao Xu: Regularity estimates for elliptic boundary value problems in Besov spaces. 1577-1595
- Nikolai Yu. Bakaev, Vidar Thomée, Lars B. Wahlbin: Maximum-norm estimates for resolvents of elliptic finite element operators. 1597-1610
- Francesca Fierro, Andreas Veeser: On the a posteriori error analysis for equations of prescribed mean curvature. 1611-1634
- Ville Havu, Juhani Pitkäranta: Analysis of a bilinear finite element for shallow shells. II: Consistency error. 1635-1653
- Tianxiao Zhou: Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems. 1655-1673
- Bo Li: Finite element analysis of a class of stress-free martensitic microstructures. 1675-1688
- Barbara Kaltenbacher: V-cycle convergence of some multigrid methods for ill-posed problems. 1711-1730
- Xu-Dong Liu, Thomas C. Sideris: Convergence of the ghost fluid method for elliptic equations with interfaces. 1731-1746
- Kirill Kopotun, Marian Neamtu, Bojan Popov: Weakly nonoscillatory schemes for scalar conservation laws. 1747-1767
- S.-H. Lui: A pseudospectral mapping theorem. 1841-1854
- Gradimir V. Milovanovic, Miodrag M. Spalevic: Error bounds for Gauss-Tur'an quadrature formulae of analytic functions. 1855-1872
- Scott N. Kersey: On the problems of smoothing and near-interpolation. 1873-1885
- Peter Fleischmann, Markus Chr. Holder, Peter Roelse: The black-box Niederreiter algorithm and its implementation over the binary field. 1887-1899
- Roel J. Stroeker, Nikolaus Tzanakis: Computing all integer solutions of a genus 1 equation. 1917-1933
- Alfred J. van der Poorten: A Note on NUCOMP. 1935-1946
- Roger T. Alexander: Index-doubling in sequences by Aitken extrapolation. 1947-1961
- W. Bley: Computation of Stark-Tamagawa units. 1963-1974
- Joachim von zur Gathen: Irreducible trinomials over finite fields. 1987-2000
- M. K. Bos: Coding the principal character formula for affine Kac-Moody lie algebras. 2001-2012
- Klaus Bongartz, Thomas Fritzsche: On minimal disjoint degenerations for preprojective representations of quivers. 2013-2042
- Alexander Stoimenow: On the unknotting number of minimal diagrams. 2043-2057
- Jeffrey J. Holt: The minimal number of solutions to phi(n) = phi(n + k). 2059-2061
- Peter Borwein, Petr Lisonek, Colin Percival: Computational investigations of the Prouhet-Tarry-Escott Problem. 2063-2070
- Douglas E. Iannucci, Ronald M. Sorli: On the total number of prime factors of an odd perfect number. 2077-2084
- Michael J. Jacobson Jr., Á. Pintér, P. G. Walsh: A computational approach for solving y2 =1k + 2k + ... + xk. 2099-2110
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