Mathematics of Computation, Volume 69

Volume 69, Number 229, 2000

• Ricardo H. Nochetto, Alfred Schmidt, C. Verdi:
  A posteriori error estimation and adaptivity for degenerate parabolic problems. 1-24
  
• Dietmar Kröner, Mario Ohlberger:
  A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions. 25-39
  
• Bruno Franchi, Maria Carla Tesi:
  A finite element approximation for a class of degenerate elliptic equations. 41-63
  
• Einar Haug, Ragnar Winther:
  A domain embedding preconditioner for the Lagrange multiplier system. 65-82
  
• Matthias Wiedmer:
  Finite element approximation for equations of magnetohydrodynamics. 83-101
  
• So-Hsiang Chou, Qian Li:
  Error estimates in L², H¹ and L^infinity in covolume methods for elliptic and parabolic problems: A unified approach. 103-120
  
• Daniele Boffi, Franco Brezzi, Lucia Gastaldi:
  On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form. 121-140
  
• Zhimin Zhang:
  Ultraconvergence of the patch recovery technique II. 141-158
  
• Qun Lin, Ningning Yan:
  Global superconvergence for Maxwell's equations. 159-176
  
• Dongwoo Sheen, Ian H. Sloan, Vidar Thomée:
  A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature. 177-195
  
• Z. Wiener, Yosi Yomdin:
  From formal numerical solutions of elliptic PDE's to the true ones. 197-235
  
• G. N. Milstein, M. V. Tretyakov:
  Numerical algorithms for semilinear parabolic equations with small parameter based on approximation of stochastic equations. 237-267
  
• David Hunter, Geno P. Nikolov:
  On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions. 269-282
  
• Liqun Qi, Defeng Sun:
  Improving the convergence of non-interior point algorithms for nonlinear complementarity problems. 283-304
  
• Avram Sidi:
  Extrapolation methods and derivatives of limits of sequences. 305-323
  
• Svein Mossige:
  The Postage Stamp Problem: An algorithm to determine the h-range on the h-range formula on the extremal basis problem for k = 4. 325-337
  
• Stefan J. Johansson:
  On fundamental domains of arithmetic Fuchsian groups. 339-349
  
• Reynald Lercier, François Morain:
  Computing isogenies between elliptic curves over F_pⁿ using Couveignes's algorithm. 351-370
  
• Stéphane Louboutin:
  Computation of relative class numbers of CM-fields by using Hecke L-functions. 371-393
  
• Guillaume Hanrot:
  Solving Thue equations without the full unit group. 395-405
  
• William Butske, Lynda M. Jaje, Daniel R. Mayernik:
  On the equation sum p/N (1/p + 1/N ) = 1, pseudoperfect numbers, and perfectly weighted graphs. 407-420
  
• Jean-Marc Deshouillers, François Hennecart, Bernard Landreau, I. Gusti Putu Purnaba:
  7373170279850. 421-439
  

Volume 69, Number 230, 2000

• Ivo Babuska, John E. Osborn:
  Can a finite element method perform arbitrarily badly? 443-462
  
• James H. Bramble, Joseph E. Pasciak, Panayot Vassilevski:
  Computational scales of Sobolev norms with application to preconditioning. 463-480
  
• Sergey I. Repin:
  A posteriori error estimation for variational problems with uniformly convex functionals. 481-500
  
• Vladimir Shaidurov, Lutz Tobiska:
  The convergence of the cascadic conjugate-gradient method applied to elliptic problems in domains with re-entrant corners. 501-520
  
• Padmanabhan Seshaiyer, Manil Suri:
  Uniform hp convergence results for the mortar finite element method. 521-546
  
• J. B. Burie, M. Marion:
  Adaptive multilevel methods in space and time for parabolic problems-the periodic case. 547-581
  
• Hailiang Liu:
  Convergence rates to the discrete travelling wave for relaxation schemes. 583-608
  
• C. González, Cesar Palencia:
  Stability of Runge-Kutta methods for quasilinear parabolic problems. 609-628
  
• Goong Chen, Yuanhua Deng, Wei-Ming Ni, Jianxin Zhou:
  Boundary element monotone iteration scheme for semilinear elliptic partial differential equations, Part II: Quasimonotone iteration for coupled systems. 629-652
  
• Hyek Yoo:
  Semi-discretization of stochastic partial differential equations on R¹ by a finite-difference method. 653-666
  
• James H. Bramble, Joseph E. Pasciak, Apostol T. Vassilev:
  Uzawa type algorithms for nonsymmetric saddle point problems. 667-689
  
• Gert Vegter:
  The apolar bilinear form in geometric modeling. 691-720
  
• Adhemar Bultheel, C. Díaz-Mendoza, Pablo González-Vera, R. Orive:
  On the convergence of certain Gauss-type quadrature formulas for unbounded intervals. 721-747
  
• Silvia Dassié, Marco Vianello, Renato Zanovello:
  A new summation method for power series with rational coefficients. 749-756
  
• Raymond Couture, Pierre L'Ecuyer:
  Lattice computations for random numbers. 757-765
  
• David C. Terr:
  A modification of Shanks' baby-step giant-step algorithm. 767-773
  
• Gene Ward Smith:
  Some polynomials over Q(t) and their Galois groups. 775-796
  
• Gerard van der Geer, Marcel van der Vlugt:
  Tables of curves with many points. 797-810
  
• Toshihiro Kumada, Hannes Leeb, Yoshiharu Kurita, Makoto Matsumoto:
  New primitive t-nomials (t = 3, 5) over GF(2) whose degree is a Mersenne exponent. 811-814
  
• H. G. Grundman:
  Explicit resolutions of cubic cusp singularities. 815-825
  
• C. J. Smyth:
  Salem numbers of negative trace. 827-838
  
• Alain Togbé:
  On the solutions of a family of quartic Thue equations. 839-849
  
• István Gaál, Günter Lettl:
  A parametric family of quintic Thue equations. 851-859
  
• Carter Bays, Richard H. Hudson:
  Zeroes of Dirichlet L-functions and irregularities in the distribution of primes. 861-866
  
• Douglas E. Iannucci:
  The third largest prime divisor of an odd perfect number exceeds one hundred. 867-879
  

Volume 69, Number 231, 2000

• Jinchao Xu, Aihui Zhou:
  Local and parallel finite element algorithms based on two-grid discretizations. 881-909
  
• Richard S. Falk, Tong Tu:
  Locking-free finite elements for the Reissner-Mindlin plate. 911-928
  
• Dan-Ping Yang:
  Analysis of least-squares mixed finite element methods for nonlinear nonstationary convection-diffusion problems. 929-963
  
• M. Farhloul, S. Nicaise, L. Paquet:
  A mixed formulation of Boussinesq equations: Analysis of nonsingular solutions. 965-986
  
• Laurent Gosse, François James:
  Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients. 987-1015
  
• Norbert Hofmann, Thomas Müller-Gronbach, Klaus Ritter:
  Optimal approximation of stochastic differential equations by adaptive step-size control. 1017-1034
  
• Daniela Calvetti, Gene H. Golub, William B. Gragg, Lothar Reichel:
  Computation of Gauss-Kronrod quadrature rules. 1035-1052
  
• Ilya M. Spitkovsky, Darryl Yong:
  Almost periodic factorization of certain block triangular matrix functions. 1053-1070
  
• Jean-Pierre Dedieu, Mike Shub:
  Multihomogeneous Newton methods. 1071-1098
  
• Jean-Pierre Dedieu, Mike Shub:
  Newton's method for overdetermined systems of equations. 1099-1115
  
• Andreas Griewank, Jean Utke, Andrea Walther:
  Evaluating higher derivative tensors by forward propagation of univariate Taylor series. 1117-1130
  
• Divakar Viswanath:
  Random Fibonacci sequences and the number 1.13198824.... 1131-1155
  
• Peter B. Borwein, Michael J. Mossinghoff:
  Rudin-Shapiro-like polynomials in L₄. 1157-1166
  
• P. G. Walsh:
  A polynomial-time complexity bound for the computation of the singular part of a Puiseux expansion of an algebraic function. 1167-1182
  
• P. G. Walsh:
  Irreducibility testing over local fields. 1183-1191
  
• Emmanuel Halberstadt, Alain Kraus:
  On the modular curves Y_E(7). 1193-1206
  
• Takashi Fukuda, Keiichi Komatsu:
  On a unit group generated by special values of Siegel modular functions. 1207-1212
  
• Christian Friesen:
  Class group frequencies of real quadratic function fields: The degree 4 case. 1213-1228
  
• Henri Cohen, Xavier-François Roblot:
  Computing the Hilbert class field of real quadratic fields. 1229-1244
  
• Renate Scheidler, Andreas Stein:
  Voronoi's algorithm in purely cubic congruence function fields of unit rank 1. 1245-1266
  
• Oliver Schirokauer:
  Using number fields to compute logarithms in finite fields. 1267-1283
  
• Carter Bays, Richard H. Hudson:
  A new bound for the smallest x with pi(x) > li(x). 1285-1296
  
• Richard P. Brent, Richard E. Crandall, Karl Dilcher, C. Van Halewyn:
  Three new factors of Fermat numbers. 1297-1304
  

Volume 69, Number 232, 2000

• Susanne C. Brenner, Li-Yeng Sung:
  Lower bounds for nonoverlapping domain decomposition preconditioners in two dimensions. 1319-1339
  
• Lori Badea, Junping Wang:
  An additive Schwarz method for variational inequalities. 1341-1354
  
• M. Lukácová-Medvidová, K. W. Morton, G. Warnecke:
  Evolution Galerkin methods for hyperbolic systems in two space dimensions. 1355-1384
  
• Cheng Wang, Jian-Guo Liu:
  Convergence of gauge method for incompressible flow. 1385-1407
  
• Christopher Beattie:
  Galerkin eigenvector approximations. 1409-1434
  
• E. B. Davies:
  A hierarchical method for obtaining eigenvalue enclosures. 1435-1455
  
• Elena Celledoni, Arieh Iserles:
  Approximating the exponential from a Lie algebra to a Lie group. 1457-1480
  
• Shoufu Li:
  Stability and B-convergence properties of multistep Runge-Kutta methods. 1481-1504
  
• Michael S. Floater, Juan Manuel Peña:
  Monotonicity preservation on triangles. 1505-1519
  
• Jieqing Tan, Shuo Tang:
  Bivariate composite vector valued rational interpolation. 1521-1532
  
• Stefano Serra Capizzano:
  Korovkin tests, approximation, and ergodic theory. 1533-1558
  
• Charles H. Tong, Qiang Ye:
  Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems. 1559-1575
  
• José Ignacio Aliaga, D. L. Boley, Roland W. Freund, Vicente Hernández:
  A Lanczos-type method for multiple starting vectors. 1577-1601
  
• Jin Qi-nian:
  On the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed problems. 1603-1623
  
• Jean Marc Couveignes:
  Isomorphisms between Artin-Schreier towers. 1625-1631
  
• Alexander Hulpke:
  Conjugacy classes in finite permutation groups via homomorphic images. 1633-1651
  
• Francisco Thaine:
  Families of irreducible polynomials of Gaussian periods and matrices of cyclotomic numbers. 1653-1666
  
• Jerzy Browkin, Karim Belabas, Herbert Gangl:
  Computing the tame kernel of quadratic imaginary fields. 1667-1683
  
• Paul B. van Wamelen:
  Poonen's question concerning isogenies between Smart's genus 2 curves. 1685-1697
  
• Robert P. Gallant, Robert J. Lambert, Scott A. Vanstone:
  Improving the parallelized Pollard lambda search on anomalous binary curves. 1699-1705
  
• Niklas Broberg:
  Some examples related to the $abc$-conjecture for algebraic number fields. 1707-1710
  
• Everett W. Howe:
  Higher-order Carmichael numbers. 1711-1719
  
• Andreas Stein, Hugh C. Williams:
  Explicit primality criteria for (p-1)pⁿ - 1. 1721-1734
  
• Kenji Koyama:
  On searching for solutions of the Diophantine equation x³ + y³ +2z³ = n. 1735-1742
  

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