Journal: Math. Comput.

Volume 72, Issue 244

1577 -- 1595Constantin Bacuta, James H. Bramble, Jinchao Xu. Regularity estimates for elliptic boundary value problems in Besov spaces
1597 -- 1610Nikolai Yu. Bakaev, Vidar Thomée, Lars B. Wahlbin. Maximum-norm estimates for resolvents of elliptic finite element operators
1611 -- 1634Francesca Fierro, Andreas Veeser. On the a posteriori error analysis for equations of prescribed mean curvature
1635 -- 1653Ville Havu, Juhani Pitkäranta. Analysis of a bilinear finite element for shallow shells. II: Consistency error
1655 -- 1673Tianxiao Zhou. Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems
1675 -- 1688Bo Li. Finite element analysis of a class of stress-free martensitic microstructures
1689 -- 1709Song Wang, Zi-Cai Li. A nonconforming combination of the finite element and volume methods with an anisotropic mesh refinement for a singularly perturbed convection-diffusion equation
1711 -- 1730Barbara Kaltenbacher. V-cycle convergence of some multigrid methods for ill-posed problems
1731 -- 1746Xu-Dong Liu, Thomas C. Sideris. Convergence of the ghost fluid method for elliptic equations with interfaces
1747 -- 1767Kirill Kopotun, Marian Neamtu, Bojan Popov. Weakly nonoscillatory schemes for scalar conservation laws
1769 -- 1801B. Cano, A. Durán. Analysis of variable-stepsize linear multistep methods with special emphasis on symmetric ones
1803 -- 1816B. Cano, A. Durán. A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems
1817 -- 1839Philippe P. Pébay, Timothy J. Baker. Analysis of triangle quality measures
1841 -- 1854S. H. Lui. A pseudospectral mapping theorem
1855 -- 1872Gradimir V. Milovanovic, Miodrag M. Spalevic. Error bounds for Gauss-Tur an quadrature formulae of analytic functions
1873 -- 1885Scott N. Kersey. On the problems of smoothing and near-interpolation
1887 -- 1899Peter Fleischmann, Markus Chr. Holder, Peter Roelse. The black-box Niederreiter algorithm and its implementation over the binary field
1901 -- 1916Peter B. Borwein, Christopher Pinner, Igor E. Pritsker. Monic integer Chebyshev problem
1917 -- 1933Roel J. Stroeker, Nikolaus Tzanakis. Computing all integer solutions of a genus 1 equation
1935 -- 1946Alfred J. van der Poorten. A Note on NUCOMP
1947 -- 1961Roger Alexander. Index-doubling in sequences by Aitken extrapolation
1963 -- 1974W. Bley. Computation of Stark-Tamagawa units
1975 -- 1985John W. Jones, David P. Roberts. Septic fields with discriminant +- 2:::a:::3:::b:::
1987 -- 2000Joachim von zur Gathen. Irreducible trinomials over finite fields
2013 -- 2042Klaus Bongartz, Thomas Fritzsche. On minimal disjoint degenerations for preprojective representations of quivers
2043 -- 2057Alexander Stoimenow. On the unknotting number of minimal diagrams
2059 -- 2061Jeffrey J. Holt. The minimal number of solutions to phi(n) = phi(n + k)
2063 -- 2070Peter Borwein, Petr Lisonek, Colin Percival. Computational investigations of the Prouhet-Tarry-Escott Problem
2071 -- 2076Karsten Blankenagel, Walter Borho, Axel vom Stein. New amicable four-cycles
2077 -- 2084Douglas E. Iannucci, Ronald M. Sorli. On the total number of prime factors of an odd perfect number
2085 -- 2097Zhenxiang Zhang, Min Tang. Finding strong pseudoprimes to several bases II
2099 -- 2110Michael J. Jacobson Jr., Á. Pintér, P. G. Walsh. A computational approach for solving y:::2::: =1:::k::: + 2:::k::: + ... + x:::k:::

Volume 72, Issue 243

1057 -- 1066Yunqing Huang, Jinchao Xu. A conforming finite element method for overlapping and nonmatching grids
1067 -- 1097Pedro Morin, Ricardo H. Nochetto, Kunibert G. Siebert. Local problems on stars: A posteriori error estimators, convergence, and performance
1099 -- 1115Erwin Hernández, Rodolfo Rodríguez. Finite element approximation of spectral problems with Neumann boundary conditions on curved domains
1117 -- 1145Faker Ben Belgacem, Yves Renard. Hybrid finite element methods for the Signorini problem
1147 -- 1177Zhimin Zhang. Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems
1179 -- 1214Ilaria Perugia, Dominik Schötzau. The hp-local discontinuous Galerkin method for low-frequency time-harmonic Maxwell equations
1215 -- 1238Caroline Lasser, Andrea Toselli. An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems
1239 -- 1250Robert Kirby. On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws
1251 -- 1279Günther Grün. On the convergence of entropy consistent schemes for lubrication type equations in multiple space dimensions
1281 -- 1303Ralf Hiptmair. Analysis of multilevel methods for eddy current problems
1305 -- 1316Stefano Serra Capizzano, E. Tyrtyshnikov. How to prove that a preconditioner cannot be superlinear
1317 -- 1328Yu-Hong Dai. A family of hybrid conjugate gradient methods for unconstrained optimization
1329 -- 1348A. Böttcher, Mark Embree, V. I. Sokolov. The spectra of large Toeplitz band matrices with a randomly perturbed entry
1349 -- 1367Jungho Yoon. L::p::-error estimates for shifted surface spline interpolation on Sobolev space
1369 -- 1377Xuli Han. Piecewise quadratic trigonometric polynomial curves
1379 -- 1397Rick Kreminski. Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants
1399 -- 1415Andreas Rieder, Thomas Schuster. The approximate inverse in action II: convergence and stability
1417 -- 1441J. E. Cremona, D. Rusin. Efficient solution of rational conics
1443 -- 1452Richard P. Brent, Samuli Larvala, Paul Zimmermann. A fast algorithm for testing reducibility of trinomials mod~2 and some new primitive trinomials of degree 3021377
1453 -- 1471Josef Leydold. Short universal generators via generalized ratio-of-uniforms method
1473 -- 1485Nick Howgrave-Graham, Phong Q. Nguyen, Igor Shparlinski. Hidden number problem with hidden multipliers, timed-release crypto, and noisy exponentiation
1487 -- 1499Gregory P. Dresden. Sums of heights of algebraic numbers
1501 -- 1509Hong You, Sheng Chen. The tame kernel of imaginary quadratic fields with class number 2 or 3
1511 -- 1529Bettina Eick, Gretchen Ostheimer. On the orbit-stabilizer problem for integral matrix actions of polycyclic groups
1531 -- 1548Florian Hess, Sebastian Pauli, Michael E. Pohst. Computing the multiplicative group of residue class rings
1549 -- 1554Paul M. Jenkins. Odd perfect numbers have a prime factor exceeding 10:::7:::
1555 -- 1572Richard E. Crandall, Ernst W. Mayer, Jason S. Papadopoulos. The twenty-fourth Fermat number is composite

Volume 72, Issue 242

525 -- 539So-Hsiang Chou, Do Y. Kwak, Kwang Y. Kim. Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems
541 -- 576Zhiming Chen, Thomas Y. Hou. A mixed multiscale finite element method for elliptic problems with oscillating coefficients
577 -- 606Bernardo Cockburn, Mitchell Luskin, Chi-Wang Shu, Endre Süli. Enhanced accuracy by post-processing for finite element methods for hyperbolic equations
607 -- 617Yuki Matsuzawa, Takashi Suzuki, Takuya Tsuchiya. Finite element approximation of H - surfaces
619 -- 656T. P. Mathew, G. Russo. Maximum norm stability of difference schemes for parabolic equations on overset nonmatching space-time grids
657 -- 675Ping Lin. Theoretical and numerical analysis for the quasi-continuum approximation of a material particle model
677 -- 684Gerard L. G. Sleijpen, Jasper van den Eshof, Paul Smit. Optimal a priori error bounds for the Rayleigh-Ritz method
685 -- 696Michael S. Floater. One-to-one piecewise linear mappings over triangulations
697 -- 713Marc Nico Spijker, S. Tracogna, Bruno D. Welfert. About the sharpness of the stability estimates in the Kreiss matrix theorem
715 -- 728Ren-Cang Li. On perturbations of matrix pencils with real spectra, a revisit
729 -- 756Sheon-Young Kang, Israel Koltracht, George Rawitscher. Nyström-Clenshaw-Curtis quadrature for integral equations with discontinuous kernels
757 -- 766Jianwei Dian, R. Baker Kearfott. Existence verification for singular and nonsmooth zeros of real nonlinear systems
767 -- 786Masaaki Sugihara. Near optimality of the sinc approximation
787 -- 800Peter B. Borwein, Michael J. Mossinghoff. Newman polynomials with prescribed vanishing and integer sets with distinct subset sums
801 -- 822Shuhong Gao. Factoring multivariate polynomials via partial differential equations
823 -- 838Xiaoqun Wang. Strong tractability of multivariate integration using quasi--Monte Carlo algorithms
839 -- 863Oliver D. King. A mass formula for unimodular lattices with no roots
865 -- 889Takeyoshi Kogiso, Go Miyabe, Miyuki Kobayashi, Tatsuo Kimura. Relative invariants of some 2-simple prehomogeneous vector spaces
891 -- 899Marc Conrad, Daniel R. Replogle. Nontrivial Galois module structure of cyclotomic fields
901 -- 911Qiang Wu. On the linear independence measure of logarithms of rational numbers
913 -- 937René Schoof. Class numbers of real cyclotomic fields of prime conductor
939 -- 940Mariano Garcia. The first known type (7, 1) amicable pair
941 -- 951Henri Cohen, Francisco Diaz y Diaz, Michel Olivier. Constructing complete tables of quartic fields using Kummer theory
953 -- 967Antoine Joux, Reynald Lercier. Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the gaussian integer method
969 -- 973Tsuyoshi Itoh. A computation of minimal polynomials of special values of Siegel modular functions
975 -- 1002J. William Hoffman, James J. Madden, Hong Zhang. Pseudozeros of multivariate polynomials
1003 -- 1017Ku-Young Chang, Soun-Hi Kwon. The class number one problem for some non-abelian normal CM-fields of degree 48
1019 -- 1033Richard Blecksmith, John Brillhart. Linear quintuple-product identities
1035 -- 1049David Applegate, Jeffrey C. Lagarias. Lower bounds for the total stopping time of 3x + 1 iterates
1051 -- 1054Giovanni Resta, Jean-Charles Meyrignac. The smallest solutions to the diophantine equation x:::6::: + y:::6::: = a:::6::: + b:::6::: +c:::6::: + d:::6::: + e:::6:::

Volume 72, Issue 241

1 -- 15Jayadeep Gopalakrishnan, Joseph E. Pasciak. Overlapping Schwarz preconditioners for indefinite time harmonic Maxwell equations
17 -- 40Andrew Knyazev, Olof Widlund. Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients
41 -- 53Rob Stevenson. A stable, direct solver for the gradient equation
55 -- 81Rob Stevenson. An analysis of nonconforming multi-grid methods, leading to an improved method for the Morley element
83 -- 104Z. Belhachmi, F. Ben Belgacem. Quadratic finite element approximation of the Signorini problem
105 -- 129L. Vardapetyan, Leszek F. Demkowicz. Full-wave analysis of dielectric waveguides at a given frequency
131 -- 157Ramaz Botchorishvili, Benoit Perthame, Alexis Vasseur. Equilibrium schemes for scalar conservation laws with stiff sources
159 -- 181Yen-Hsi Richard Tsai, Yoshikazu Giga, Stanley Osher. A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations
183 -- 225Albert Cohen, Sidi Mahmoud Kaber, Siegfried Müller, Marie Postel. Fully adaptive multiresolution finite volume schemes for conservation laws
227 -- 245Hailiang Liu. The l global decay to discrete shocks for scalar monotone schemes
247 -- 262A. J. Roberts. A holistic finite difference approach models linear dynamics consistently
263 -- 288Howard C. Elman, Alison Ramage. A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation
289 -- 305Othmar Koch, Ewa Weinmüller. The convergence of shooting methods for singular boundary value problems
307 -- 333Lung-An Ying. Convergence study of the Chorin-Marsden formula
335 -- 354Ming-Jun Lai, Larry L. Schumaker. Macro-elements and stable local bases for splines on Powell-Sabin triangulations
355 -- 373Marko Huhtanen. Orthogonal polyanalytic polynomials and normal matrices
375 -- 385Tai-Lin Wang, William B. Gragg. Convergence of the unitary QR algorithm with a unimodular Wilkinson shift
387 -- 395Colin Percival. Rapid multiplication modulo the sum and difference of highly composite numbers
397 -- 418Enrique González-Jiménez, Josep González. Modular curves of genus 2
419 -- 433Avram Sidi. A convergence and stability study of the iterated Lubkin transformation and the Theta-algorithm
435 -- 458Annegret Weng. Constructing hyperelliptic curves of genus 2 suitable for cryptography
459 -- 475Reinhold Hübl, Irena Swanson. Normal cones of monomial primes
477 -- 487Berit Skjernaa. Satoh s algorithm in characteristic 2
489 -- 497Patrick J. Costello. New amicable pairs of type (2, 2) and type (3, 2)
499 -- 519Michael J. Jacobson Jr., Hugh C. Williams. New quadratic polynomials with high densities of prime values
521 -- 523Alfred 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