Mathematics of Computation, Volume 71

Volume 71, Number 237, 2002

• Patrice Coorevits, Patrick Hild, Khalid Lhalouani, Taoufik Sassi:
  Mixed finite element methods for unilateral problems: convergence analysis and numerical studies. 1-25
  
• E. Weinan, Jian-Guo Liu:
  Projection method III: Spatial discretization on the staggered grid. 27-47
  
• Samuel Albert, Bernardo Cockburn, Donald A. French, Todd E. Peterson:
  A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. Part I: The steady state case. 49-76
  
• Jerry Markman, I. Norman Katz:
  Convergence of an iterative algorithm for solving Hamilton-Jacobi type equations. 77-103
  
• Xue-Cheng Tai, Jinchao Xu:
  Global and uniform convergence of subspace correction methods for some convex optimization problems. 105-124
  
• C. González, Alexander Ostermann, Cesar Palencia, Mechthild Thalhammer:
  Backward Euler discretization of fully nonlinear parabolic problems. 125-145
  
• James H. Bramble, Joseph E. Pasciak, Olaf Steinbach:
  On the stability of the L² projection in H¹(Omega). 147-156
  
• Carsten Carstensen:
  Merging the Bramble-Pasciak-Steinbach and the Crouzeix-Thomée criterion for H¹-stability of the L²-projection onto finite element spaces. 157-163
  
• Bin Han, Rong-Qing Jia:
  Quincunx fundamental refinable functions and quincunx biorthogonal wavelets. 165-196
  
• Klaus Neymeyr:
  A geometric theory for preconditioned inverse iteration applied to a subspace. 197-216
  
• Attahiru Sule Alfa, Jungong Xue, Qiang Ye:
  Accurate computation of the smallest eigenvalue of a diagonally dominant M-matrix. 217-236
  
• Natasa Krejic, Zorana Luzanin:
  Newton-like method with modification of the right-hand-side vector. 237-250
  
• Yuri Levin, Adi Ben-Israel:
  Directional Newton methods in n variables. 251-262
  
• Ian H. Sloan, Andrew V. Reztsov:
  Component-by-component construction of good lattice rules. 263-273
  
• Kai-Tai Fang, Chang-Xing Ma, Peter Winker:
  Centered L₂-discrepancy of random sampling and Latin hypercube design, and construction of uniform designs. 275-296
  
• Hannes Leeb:
  Asymptotic properties of the spectral test, diaphony, and related quantities. 297-309
  
• Norman Gray:
  Automatic reduction of elliptic integrals using Carlson's relations. 311-318
  
• Louis-Sebastien Guimond, Jiri Patera:
  Proving the deterministic period breaking of linear congruential generators using two tile quasicrystals. 319-332
  
• Maria Isabel Gonzalez Vasco, Igor Shparlinski:
  Security of the most significant bits of the Shamir message passing scheme. 333-342
  
• Timothy Kohl, Daniel R. Replogle:
  Computation of several cyclotomic Swan subgroups. 343-348
  
• W. R. Oudshoorn, M. van der Put:
  Lie symmetries and differential Galois groups of linear equations. 349-361
  
• Igor A. Semaev:
  Special prime numbers and discrete logs in finite prime fields. 363-377
  
• Douglas R. Stinson:
  Some baby-step giant-step algorithms for the low hamming weight discrete logarithm problem. 379-391
  
• Steven D. Galbraith, S. M. Paulus, Nigel P. Smart:
  Arithmetic on superelliptic curves. 393-405
  
• John Abbott:
  Sparse squares of polynomials. 407-413
  
• Anastasios Simalarides:
  Upper bounds for the prime divisors of Wendt's determinant. 415-427
  
• István Gaál, Michael Pohst:
  On the resolution of relative Thue equations. 429-440
  
• Chris K. Caldwell, Yves Gallot:
  On the primality of n! +- 1 and 2 x 3 x 5 x ... x p +- 1. 441-448
  
• Tony Forbes:
  Fifteen consecutive integers with exactly four prime factors. 449-452
  
• Hrushikesh Narhar Mhaskar, Francis J. Narcowich, Joseph D. Ward:
  Corrigendum to "Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature''. 453-454
  

Volume 71, Number 238, 2002

• Paul Castillo, Bernardo Cockburn, Dominik Schötzau, Christoph Schwab:
  Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems. 455-478
  
• Walter Zulehner:
  Analysis of iterative methods for saddle point problems: a unified approach. 479-505
  
• Susanne C. Brenner:
  Convergence of the multigrid $V$-cycle algorithm for second-order boundary value problems without full elliptic regularity. 507-525
  
• Gerard R. Richter:
  On the stability of a family of finite element methods for hyperbolic problems. 527-535
  
• Alfredo Bermúdez, Rodolfo Rodríguez:
  Analysis of a finite element method for pressure/potential formulation of elastoacoustic spectral problems. 537-552
  
• Laurent Gosse:
  Localization effects and measure source terms in numerical schemes for balance laws. 553-582
  
• Nicolas Fournier, Sylvie Méléard:
  A stochastic particle numerical method for 3D Boltzmann equations without cutoff. 583-604
  
• Roswitha März, Antonio R. Rodríguez-Santiesteban:
  Analyzing the stability behaviour of solutions and their approximations in case of index-2 differential-algebraic systems. 605-632
  
• G. Everest, István Gaál, K. Györy, C. Röttger:
  On the spatial distribution of solutions of decomposable form equations. 633-648
  
• George Boros, Victor H. Moll:
  Landen transformations and the integration of rational functions. 649-668
  
• Robert Schaback, Holger Wendland:
  Inverse and saturation theorems for radial basis function interpolation. 669-681
  
• Leyla Daruis, Pablo González-Vera, Olav Njåstad:
  Szegö quadrature formulas for certain Jacobi-type weight functions. 683-701
  
• Reiji Suda, Masayasu Takami:
  A fast spherical harmonics transform algorithm. 703-715
  
• David M. Hough:
  Asymptotic estimation of Gaussian quadrature error for a nonsingular integral in potential theory. 717-727
  
• Andreas Enge:
  Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time. 729-742
  
• Peter Dräxler, Klara Kögerler:
  An algorithm for finding all preprojective components of the Auslander-Reiten quiver. 743-759
  
• Manfred Göbel:
  Finite SAGBI bases for polynomial invariants of conjugates of alternating groups. 761-765
  
• Peter Borwein, Kevin G. Hare:
  Some computations on the spectra of Pisot and Salem numbers. 767-780
  
• Frank Emmerich:
  Average equidistribution and statistical independence properties of digital inversive pseudorandom numbers over parts of the period. 781-791
  
• Andreas Stein, Edlyn Teske:
  The parallelized Pollard kangaroo method in real quadratic function fields. 793-814
  
• Diane Meuser, Margaret Robinson:
  The Igusa local zeta functions of elliptic curves. 815-823
  
• Harvey Dubner, Yves Gallot:
  Distribution of generalized Fermat prime numbers. 825-832
  
• Harvey Dubner:
  Repunit R49081 is a probable prime. 833-835
  
• Andreas Stein, Edlyn Teske:
  Explicit bounds and heuristics on class numbers in hyperelliptic function fields. 837-861
  
• Joshua Holden:
  Comparison of algorithms to calculate quadratic irregularity of prime numbers. 863-871
  
• Myra B. Cohen, Charles J. Colbourn, Lee A. Ives, Alan C. H. Ling:
  Kirkman triple systems of order 21 with nontrivial automorphism group. 873-881
  
• Andrew Granville, Carl Pomerance:
  Two contradictory conjectures concerning Carmichael numbers. 883-908
  

Volume 71, Number 239, 2002

• Douglas N. Arnold, Daniele Boffi, Richard S. Falk:
  Approximation by quadrilateral finite elements. 909-922
  
• Ville Havu, Juhani Pitkäranta:
  Analysis of a bilinear finite element for shallow shells I: Approximation of inextensional deformations. 923-943
  
• Carsten Carstensen, Sören Bartels:
  Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part I: Low order conforming, nonconforming, and mixed FEM. 945-969
  
• Sören Bartels, Carsten Carstensen:
  Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM. 971-994
  
• Vladimir Druskin, Shari Moskow:
  Three-point finite-difference schemes, Padé and the spectral Galerkin method. I. One-sided impedance approximation. 995-1019
  
• Heinrich Freistühler, Christian Rohde:
  Numerical computation of viscous profiles for hyperbolic conservation laws. 1021-1042
  
• Vivette Girault, L. Ridgway Scott:
  Hermite interpolation of nonsmooth functions preserving boundary conditions. 1043-1074
  
• Donald J. Estep, Andrew M. Stuart:
  The dynamical behavior of the discontinuous Galerkin method and related difference schemes. 1075-1103
  
• Xue-Cheng Tai, Paul Tseng:
  Convergence rate analysis of an asynchronous space decomposition method for convex Minimization. 1105-1135
  
• Pierre Dusart:
  Estimates of theta(x; k, l) for large values of x. 1137-1168
  
• M. C. De Bonis, Biancamaria Della Vecchia, Giuseppe Mastroianni:
  Approximation of the Hilbert Transform on the real line using Hermite zeros. 1169-1188
  
• Beatrice Meini:
  Efficient computation of the extreme solutions of X + A*X^-1A = Q and X - A*X^-1A = Q. 1189-1204
  
• David W. Boyd:
  On a problem of Byrnes concerning polynomials with restricted coefficients, II. 1205-1217
  
• Andreas Enge, Andreas Stein:
  Smooth ideals in hyperelliptic function fields. 1219-1230
  
• Karl Entacher, Thomas Schell, Andreas Uhl:
  Efficient lattice assessment for LCG and GLP parameter searches. 1231-1242
  
• Hyun Kwang Kim, Jung Soo Kim:
  Evaluation of zeta function of the simplest cubic field at negative odd integers. 1243-1262
  
• D. W. Farmer, K. James:
  The irreducibility of some level 1 Hecke polynomials. 1263-1270
  
• Jesse Ira Deutsch:
  A computational approach to Hilbert modular group fixed points. 1271-1280
  
• Keith R. Matthews:
  Thue's theorem and the diophantine equation x² - Dy² = +-N. 1281-1286
  
• Denis Simon:
  Solving norm equations in relative number fields using S-units. 1287-1305
  
• A. Paszkiewicz, Andrzej Schinzel:
  On the least prime primitive root modulo a prime. 1307-1321
  
• Harvey Dubner, Tony Forbes, Nik Lygeros, Michel Mizony, Harry Nelson, Paul Zimmermann:
  Ten consecutive primes in arithmetic progression. 1323-1328
  

Volume 71, Number 240, 2002

• Ivo Babuska, Jan Chleboun:
  Effects of uncertainties in the domain on the solution of Neumann boundary value problems in two spatial dimensions. 1339-1370
  
• Christine Bernardi, Frédéric Hecht:
  Error indicators for the mortar finite element discretization of the Laplace equation. 1371-1403
  
• Ricardo H. Nochetto, Lars B. Wahlbin:
  Positivity preserving finite element approximation. 1405-1419
  
• Zhimin Zhang:
  Derivative superconvergent points in finite element solutions of harmonic functions- A theoretical justification. 1421-1430
  
• Ulisse Stefanelli:
  Analysis of a variable time-step discretization of the three-dimensional Frémond model for shape memory alloys. 1431-1453
  
• Gabriel N. Gatica, Norbert Heuer:
  Conjugate gradient method for dual-dual mixed formulations. 1455-1472
  
• Tai-Lin Wang, William B. Gragg:
  Convergence of the shifted QR algorithm for unitary Hessenberg matrices. 1473-1496
  
• Johnson C. M. Fok, Benyu Guo, Tao Tang:
  Combined Hermite spectral-finite difference method for the Fokker-Planck equation. 1497-1528
  
• Mari Paz Calvo, Cesar Palencia:
  Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems. 1529-1543
  
• Nikolai Bakaev, Alexander Ostermann:
  Long-term stability of variable stepsize approximations of semigroups. 1545-1567
  
• Avram Sidi:
  New convergence results on the generalized Richardson extrapolation process GREP for logarithmic sequences. 1569-1596
  
• Winfried Kohnen, Michael Kuß:
  Some numerical computations concerning spinor zeta functions in genus 2 at the central point. 1597-1607
  
• Ian H. Sloan, Frances Y. Kuo, Stephen Joe:
  On the step-by-step construction of quasi-Monte Carlo integration rules that achieve strong tractability error bounds in weighted Sobolev spaces. 1609-1640
  
• Fred J. Hickernell, Xiaoqun Wang:
  The error bounds and tractability of quasi-Monte Carlo algorithms in infinite dimension. 1641-1661
  
• Shuhong Gao, Alan G. B. Lauder:
  Hensel lifting and bivariate polynomial factorisation over finite fields. 1663-1676
  
• Joachim von zur Gathen, Jürgen Gerhard:
  Polynomial factorization over F₂. 1677-1698
  
• Zhenxiang Zhang:
  A one-parameter quadratic-base version of the Baillie-PSW probable prime test. 1699-1734
  
• Stéphane Louboutin:
  Computation of class numbers of quadratic number fields. 1735-1743
  
• Ana-Cecilia de la Maza:
  Bounds for the smallest norm in an ideal class. 1745-1758
  
• Antonio Campillo, José Ignacio Farrán:
  Symbolic Hamburger-Noether expressions of plane curves and applications to AG codes. 1759-1780
  
• A. Paszkiewicz, Andrzej Schinzel:
  Numerical calculation of the density of prime numbers with a given least primitive root. 1781-1797
  

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