Mathematics of Computation, Volume 65

Volume 65, Number 213, 1996

• Ch. Lubich, Ian H. Sloan, Vidar Thomée:
  Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term. 1-17
  
• Alfred H. Schatz, Junping Wang:
  Some new error estimates for Ritz-Galerkin methods with minimal regularity assumptions. 19-27
  
• R. A. Nicolaides, X. Wu:
  Analysis and convergence of the MAC scheme. II. Navier-Stokes equations. 29-44
  
• Huanan Yang:
  On wavewise entropy inequalities for high-resolution schemes. I: The semidiscrete case. 45-67
  
• Carsten Carstensen:
  Efficiency of a posteriori BEM-error estimates for first-kind integral equations on quasi-uniform meshes. 69-84
  
• Charles K. Chui, Dong Hong:
  Construction of local C¹ quartic spline elements for optimal-order approximation. 85-98
  
• Charles K. Chui, Johan M. De Villiers:
  Applications of optimally local interpolation to interpolatory approximants and compactly supported wavelets. 99-114
  
• Urs von Matt, G. W. Stewart:
  Rounding errors in solving block Hessenberg systems. 115-135
  
• Vasily Strela, Evgenij E. Tyrtyshnikov:
  Which circulant preconditioner is better? 137-150
  
• Arno B. J. Kuijlaars:
  The zeros of Faber polynomials generated by an m-star. 151-156
  
• David M. Smith:
  A multiple-precision division algorithm. 157-163
  
• James N. Lyness, Stephen Joe:
  Triangular canonical forms for lattice rules of prime-power order. 165-178
  
• Christian Lécot:
  Error bounds for quasi-Monte Carlo integration with nets. 179-187
  
• Raymond Couture, Pierre L'Ecuyer:
  Orbits and lattices for linear random number generators with composite moduli. 189-201
  
• Pierre L'Ecuyer:
  Maximally equidistributed combined Tausworthe generators. 203-213
  
• Jürgen Eichenauer-Herrmann, Frank Emmerich:
  Compound inversive congruential pseudorandom numbers: an average-case analysis. 215-225
  
• Takashi Kato, Li-Ming Wu, Niro Yanagihara:
  On a nonlinear congruential pseudorandom number generator. 227-233
  
• Marc Deléglise, Joël Rivat:
  Computing pi(x): the Meissel, Lehmer, Lagarias, Miller, Odlyzko method. 235-245
  
• Tohsuke Urabe:
  Calculation of Manin's invariant for Del Pezzo surfaces. 247-258
  
• Gregory S. Call, Joseph H. Silverman:
  Computing the canonical height on K3 surfaces. 259-290
  
• Kimberly Pearson:
  Integral cohomology and detection of w-basic 2-groups. 291-306
  
• V. Flammang:
  Two new points in the spectrum of the absolute Mahler measure of totally positive algebraic integers. 307-311
  
• Takashi Fukuda, Keiichi Komatsu:
  A capitulation problem and Greenberg's conjecture on real quadratic fields. 313-318
  
• Mario Daberkow, Michael E. Pohst:
  On integral bases in relative quadratic extensions. 319-329
  
• Wen Bao Han:
  The coefficients of primitive polynomials over finite fields. 331-340
  
• Maurice Mignotte, Attila Pethö, Ralf Roth:
  Complete solutions of a family of quartic Thue and index form equations. 341-354
  
• W. S. Anglin:
  Simultaneous Pell equations. 355-359
  
• Richard F. Lukes, C. D. Patterson, Hugh C. Williams:
  Some results on pseudosquares. 361-372
  
• Ronald Joseph Burthe Jr.:
  Further investigations with the strong probable prime test. 373-381
  
• Samuel S. Wagstaff Jr.:
  Aurifeuillian factorizations and the period of the Bell numbers modulo a prime. 383-391
  
• Harvey Dubner:
  Large Sophie Germain primes. 393-396
  
• Olivier Ramaré, Robert Rumely:
  Primes in arithmetic progressions. 397-425
  
• Karl-Heinz Indlekofer, Antal Járai:
  Largest known twin primes. 427-428
  

Volume 65, Number 214, 1996

• Torgeir Rusten, Panayot Vassilevski, Ragnar Winther:
  Interior penalty preconditioners for mixed finite element approximations of elliptic problems. 447-466
  
• Zhangxin Chen, Richard E. Ewing, Raytcho D. Lazarov:
  Domain decomposition algorithms for mixed methods for second-order elliptic problems. 467-490
  
• Donald A. French, Todd E. Peterson:
  A continuous space-time finite element method for the wave equation. 491-506
  
• Laurence Halpern:
  Spectral methods in polar coordinates for the Stokes problem. Application to computation in unbounded domains. 507-531
  
• Bernardo Cockburn, Pierre-Alain Gremaud:
  A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach. 533-573
  
• Haim Nessyahu:
  Convergence rate of approximate solutions to weakly coupled nonlinear systems. 575-586
  
• Yuesheng Xu, Yunhe Zhao:
  An extrapolation method for a class of boundary integral equations. 587-610
  
• Evangelos A. Coutsias, Thomas Hagstrom, David Torres:
  An efficient spectral method for ordinary differential equations with rational function coefficients. 611-635
  
• Rajendra Bhatia, Ren-Cang Li:
  On perturbations of matrix pencils with real spectra. II. 637-645
  
• R. C. Gayle, J. M. Wolfe:
  Unicity in piecewise polynomial L¹-approximation via an algorithm. 647-660
  
• Peter B. Borwein, Tamás Erdélyi:
  The integer Chebyshev problem. 661-681
  
• Ewald G. Quak:
  Trigonometric wavelets for Hermite interpolation. 683-722
  
• W. Lawton, S. L. Lee, Zuowei Shen:
  An algorithm for matrix extension and wavelet construction. 723-737
  
• Dirk P. Laurie:
  Anti-Gaussian quadrature formulas. 739-747
  
• Frank Emmerich:
  Pseudorandom vector generation by the compound inversive method. 749-760
  
• Takashi Kato, Li-Ming Wu, Niro Yanagihara:
  The serial test for a nonlinear pseudorandom number generator. 761-769
  
• Charles H. Jepsen:
  Dissections of p : q rectangles. 771-778
  
• Hisao Taya:
  Computation of Z₃-invariants of real quadratic fields. 779-784
  
• Christian Wagner:
  Class number 5, 6 and 7. 785-800
  
• István Gaál:
  Computing all power integral bases in orders of totally real cyclic sextic number fields. 801-822
  
• Günter Löh, Wolfgang Niebuhr:
  A new algorithm for constructing large Carmichael numbers. 823-836
  
• Paul Erdös, Mordechai Lewin:
  d-complete sequences of integers. 837-840
  
• David W. Boyd:
  On beta expansions for Pisot numbers. 841-860
  
• David W. Boyd:
  On the beta expansion for Salem numbers of degree 6. 861-875
  

Volume 65, Number 215, 1996

• Susanne C. Brenner:
  Two-level additive Schwarz preconditioners for nonconforming finite element methods. 897-921
  
• Peter Oswald:
  Preconditioners for nonconforming discretizations. 923-941
  
• Yuanhua Deng, Goong Chen, Wei-Ming Ni, Jianxin Zhou:
  Boundary element monotone iteration scheme for semilinear elliptic partial differential equations. 943-982
  
• Rob Stevenson:
  The frequency decomposition multilevel method: A robust additive hierarchical basis preconditioner. 983-997
  
• M. Vanmaele, Roger Van Keer:
  On a variational approximation method for a class of elliptic Eigenvalue problems in composite structures. 999-1017
  
• Malgorzata Peszynska:
  Finite element approximation of diffusion equations with convolution terms. 1019-1037
  
• Jie Shen:
  On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes. 1039-1065
  
• Johan F. Malmliden, N. Anders Petersson:
  A fast iterative method to compute the flow around a submerged body. 1067-1083
  
• Guangfu Sun, Martin Stynes:
  A uniformly convergent method for a singularly perturbed semilinear reaction-diffusion problem with multiple solutions. 1085-1109
  
• Petr Kloucek, Bo Li, Mitchell Luskin:
  Analysis of a class of nonconforming finite elements for crystalline microstructures. 1111-1135
  
• Hailiang Liu, Jinghua Wang:
  Nonlinear stability of stationary discrete shocks for nonconvex scalar conservation laws. 1137-1153
  
• Sebastian Noelle:
  A note on entropy inequalities and error estimates for higher-order accurate finite volume schemes on irregular families of grids. 1155-1163
  
• S. N. Papakostas, G. Papageorgiou:
  A family of fifth-order Runge-Kutta pairs. 1165-1181
  
• Anwei Liu, Barry Joe:
  Quality local refinement of tetrahedral meshes based on 8-subtetrahedron subdivision. 1183-1200
  
• Annamaria Palamara Orsi:
  Product integration for Volterra integral equations of the second kind with weakly singular kernels. 1201-1212
  
• Ronald B. Morgan:
  On restarting the Arnoldi method for large nonsymmetric eigenvalue problems. 1213-1230
  
• Carl de Boor:
  On the Sauer-Xu formula for the error in multivariate polynomial interpolation. 1231-1234
  
• Vittoria Demichelis:
  Quasi-interpolatory splines based on Schoenberg points. 1235-1247
  
• Walter Gautschi, Shikang Li:
  On quadrature convergence of extended Lagrange interpolation. 1249-1256
  
• Walter Gautschi, Sotirios E. Notaris:
  Stieltjes polynomials and related quadrature formulae for a class of weight functions. 1257-1268
  
• Dimitar K. Dimitrov:
  Integration of polyharmonic functions. 1269-1281
  
• B. G. S. Doman:
  An asymptotic expansion for the incomplete beta function. 1283-1288
  
• A. J. W. Duijvestijn:
  The number of polyhedral (3-connected planar) graphs. 1289-1293
  
• Harvey Cohn, John McKay:
  Spontaneous generation of modular invariants. 1295-1309
  
• Johannes Buchmann, Victor Shoup:
  Constructing nonresidues in finite fields and the extended Riemann hypothesis. 1311-1326
  
• Wieb Bosma, Peter Stevenhagen:
  Density computations for real quadratic units. 1327-1337
  
• Takashi Fukuda:
  Cyclotomic units and Greenberg's conjecture for real quadratic fields. 1339-1348
  
• A. Y. Cheer, D. A. Goldston:
  Turán's pure power sum problem. 1349-1358
  
• A. J. W. Duijvestijn:
  Simple perfect squared squares and 2 * 1 squared rectangles of order 26. 1359-1364
  

Volume 65, Number 216, 1996

• Jan Mandel, Marian Brezina:
  Balancing domain decomposition for problems with large jumps in coefficients. 1387-1401
  
• Christoph Schwab, Manil Suri:
  The p and hp versions of the finite element method for problems with boundary layers. 1403-1429
  
• Zhimin Zhang:
  Ultraconvergence of the patch recovery technique. 1431-1437
  
• Francois Bouchut, Ch. Bourdarias, Benoit Perthame:
  A MUSCL method satisfying all the numerical entropy inequalities. 1439-1461
  
• Rodolfo Rodríguez, Jorge E. Solomin:
  The order of convergence of Eigenfrequencies in finite element approximations of fluid-structure interaction problems. 1463-1475
  
• Tien-Yien Li, Xiaoshen Wang:
  The BKK root count in Cⁿ. 1477-1484
  
• Maria-Cecilia Rivara, Gabriel Iribarren:
  The 4-triangles longest-side partition of triangles and linear refinement algorithms. 1485-1502
  
• Siegfried M. Rump:
  Expansion and estimation of the range of nonlinear functions. 1503-1512
  
• Amos Ron, Xingping Sun:
  Strictly positive definite functions on spheres in Euclidean spaces. 1513-1530
  
• Iaci Malta, Nicolau C. Saldanha, Carlos Tomei:
  The numerical inversion of functions from the plane to the plane. 1531-1552
  
• Rida T. Farouki, Tim N. T. Goodman:
  On the optimal stability of the Bernstein basis. 1553-1566
  
• Laura Gori, Charles A. Micchelli:
  On weight functions which admit explicit Gauss-Turán quadrature formulas. 1567-1581
  
• Ronald Cools, Ian H. Sloan:
  Minimal cubature formulae of trigonometric degree. 1583-1600
  
• Yu-lin Xu:
  Fast evaluation of the Gaunt coefficients. 1601-1612
  
• J. B. Keiper:
  On the zeros of the Ramanujan tau-Dirichlet series in the critical strip. 1613-1619
  
• Stefan Heinrich:
  Efficient algorithms for computing the L₂-discrepancy. 1621-1633
  
• T. N. Langtry:
  An application of Diophantine approximation to the construction of rank-1 lattice quadrature rules. 1635-1662
  
• Vincenzo Acciaro:
  Solvability of norm equations over cyclic number fields of prime degree. 1663-1674
  
• David A. Clark:
  Non-Galois cubic fields which are Euclidean but not norm-Euclidean. 1675-1679
  
• Henri Cohen:
  Hermite and Smith normal form algorithms over Dedekind domains. 1681-1699
  
• Eric Bach, René Peralta:
  Asymptotic semismoothness probabilities. 1701-1715
  
• Eric Bach, Jonathan P. Sorenson:
  Explicit bounds for primes in residue classes. 1717-1735
  
• Eric Bach, Richard F. Lukes, Jeffrey Shallit, Hugh C. Williams:
  Results and estimates on pseudopowers. 1737-1747
  
• Brienne E. Brown, Daniel M. Gordon:
  On sequences without geometric progressions. 1749-1754
  
• Randy L. Ekl:
  Equal sums of four seventh powers. 1755-1756
  

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