SIAM Journal on Numerical Analysis - Contents

Volume 35, Number 6

Volume 35, Number 5

Volume 35, Number 4

A Finite Element Method for the Neutron Transport Equation in an Infinite Cylindrical Domain
Mohammad Asadzadeh
(Pages 1299 - 1314)

Adaptive Finite Element Methods for Parabolic Problems VI: Analytic Semigroups
Kenneth Eriksson, Claes Johnson, Stig Larsson
(Pages 1315 - 1325)

On Asymptotics in Case of Linear Index-2 Differential-Algebraic Equations
Michael Hanke, Ebroul Izquierdo Macana, Roswitha März
(Pages 1326 - 1346)

On Improving the Convergence of Radau IIA Methods Applied to Index 2 DAEs
A. Aubry, P. Chartier
(Pages 1347 - 1367)

Error Bounds for Numerical Inversion of a Probability Characteristic Function
Paul Hughett
(Pages 1368 - 1392)

An Optimal Iterative Process for the Johnson--Nedelec Method of Coupling Boundary and Finite Elements
Salim Meddahi
(Pages 1393 - 1415)

A New Moving Mesh Algorithm for the Finite Element Solution of Variational Problems
Yves Tourigny, Frank Hülsemann
(Pages 1416 - 1438)

A General Implicit Splitting for Stabilizing Numerical Simulations of Itô Stochastic Differential Equations
W. P. Petersen
(Pages 1439 - 1451)

Spline Collocation for a Boundary Integral Equation on Polygons with Cuts
Pascal Laubin, Marc Baiwir
(Pages 1452 - 1472)

On Deterministic Particle Methods for Solving Vlasov--Poisson--Fokker--Planck Systems
Karl J. Havlak, Harold Dean Victory Jr.
(Pages 1473 - 1519)

hp FEM for Reaction-Diffusion Equations I: Robust Exponential Convergence
J. M. Melenk, C. Schwab
(Pages 1520 - 1557)

Rate of Convergence of Some Space Decomposition Methods for Linear and Nonlinear Problems
Xue-Cheng Tai, Magne Espedal
(Pages 1558 - 1570)

Integration Preconditioning of Pseudospectral Operators. I. Basic Linear Operators
J. S. Hesthaven
(Pages 1571 - 1593)

A Trust Region Method for Norm Constrained Problems
Matthias Heinkenschloss
(Pages 1594 - 1620)

The Method of Conjugate Residuals for Solving the Galerkin Equations Associated with Symmetric Positive Semidefinite Ill-Posed Problems
R. Plato
(Pages 1621 - 1645)

Splitting Techniques for the Unsteady Stokes Equations
Wilhelm Heinrichs
(Pages 1646 - 1662)

Volume 35, Number 3

Chebyshev--Legendre Spectral Viscosity Method for Nonlinear Conservation Laws
Heping Ma
(Pages 869 - 892)

Chebyshev--Legendre Super Spectral Viscosity Method for Nonlinear Conservation Laws
Heping Ma
(Pages 893 - 908)

Convergence Analysis for a Class of High-Order Semi-Lagrangian Advection Schemes
Maurizio Falcone, Roberto Ferretti
(Pages 909 - 940)

Postprocessing the Galerkin Method: a Novel Approach to Approximate Inertial Manifolds
Bosco García-Archilla, Julia Novo, Edriss S. Titi
(Pages 941 - 972)

Stability of Time-Stepping Methods for Abstract Time-Dependent Parabolic Problems
C. González, C. Palencia
(Pages 973 - 989)

Analysis of Velocity-Flux First-Order System Least-Squares Principles for the Navier--Stokes Equations: Part I
P. Bochev, Z. Cai, T. A. Manteuffel, S. F. McCormick
(Pages 990 - 1009)

Balanced Implicit Methods for Stiff Stochastic Systems
G. N. Milstein, E. Platen, H. Schurz
(Pages 1010 - 1019)

Asymptotic Analysis Relating Spectral Models in Fluid--Solid Vibrations
Carlos Conca, Axel Osses, Jacques Planchard
(Pages 1020 - 1048)

Analysis and Convergence of a Covolume Approximation of the Ginzburg--Landau Model of Superconductivity
Qiang Du, R. A. Nicolaides, Xiaonan Wu
(Pages 1049 - 1072)

An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit
Axel Klar
(Pages 1073 - 1094)

Error Estimates for a Class of Degenerate Parabolic Equations
Carsten Ebmeyer
(Pages 1095 - 1112)

Method of Absorbing Boundary Conditions: Phenomena of Error Stabilization
H. Barucq, F. Delaurens, B. Hanouzet
(Pages 1113 - 1129)

Global and Superlinear Convergence of Inexact Uzawa Methods for Saddle Point Problems with Nondifferentiable Mappings
Xiaojun Chen
(Pages 1130 - 1148)

Convergence of a Difference Scheme for the Vlasov--Poisson--Fokker--Planck System in One Dimension
Jack Schaeffer
(Pages 1149 - 1175)

A P1--P1 Finite Element Method for a Phase Relaxation Model I: Quasi-Uniform Mesh
Xun Jiang, Ricardo H. Nochetto
(Pages 1176 - 1190)

The Error in Linear Interpolation at the Vertices of a Simplex
Shayne Waldron
(Pages 1191 - 1200)

V-cycle Convergence with Unsymmetric Smoothers and Application to an Anisotropic Model Problem
Nicolas Neuss
(Pages 1201 - 1212)

Minimum Residual Adaptive Multilevel Finite Element Procedure for the Solution of Nonlinear Stationary Problems
O. Axelsson, I. E. Kaporin
(Pages 1213 - 1229)

An FEM Scheme of a PDE System from Bioreactor Theory with Stability Results
Jouko Tervo
(Pages 1230 - 1248)

The Travelling Wave Scheme for The Navier--Stokes Equations
Suzanne L. Weekes
(Pages 1249 - 1270)

Convergence of a Reduced Integration Method for Computing Microstructures
Charles R. Collins
(Pages 1271 - 1298)

Volume 35, Number 2, April 1998

A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
Clint N. Dawson, Mary F. Wheeler, Carol S. Woodward
(Pages 435 - 452)

Discrete-time Orthogonal Spline Collocation Methods for Schrödinger Equations in Two Space Variables
Bingkun Li, Graeme Fairweather, Bernard Bialecki
(Pages 453 - 477)

Stable Difference Schemes for Parabolic Systems---A Numerical Radius Approach
Moshe Goldberg
(Pages 478 - 493)

A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem
S. H. CHOU, D. Y. Kwak
(Pages 494 - 507)

Convergence Analysis of Pseudo-Transient Continuation
C. T. Kelley, David E. Keyes
(Pages 508 - 523)

Enclosing Solutions of Linear Equations
Jiri Rohn, Georg Rex
(Pages 524 - 539)

Wavelet-Based Numerical Homogenization
Mihai Dorobantu, Björn Engquist
(Pages 540 - 559)

A New Mixed Finite Element Formulation and the MAC Method for the Stokes Equations
Houde Han, Xiaonan Wu
(Pages 560 - 571)

Convergence Analysis of the Solution of Retarded and Neutral Delay Differential Equations by Continuous Numerical Methods
W. H. Enright, H. Hayashi
(Pages 572 - 585)

Numerical Integrators that Preserve Symmetries and Reversing Symmetries
R. I. McLachlan, G. R. W. Quispel, G. S. Turner
(Pages 586 - 599)

On Monotone and Geometric Convergence of Schwarz Methods for Two-Sided Obstacle Problems
Jinping Zeng, Shuzi Zhou
(Pages 600 - 616)

Convergence Analysis of Orthogonal Spline Collocation for Elliptic Boundary Value Problems
Bernard Bialecki
(Pages 617 - 631)

An Additive Schwarz Method for the h-b Version of the Finite Element Method in Three Dimensions
Benqi Guo, Weiming Cao
(Pages 632 - 654)

From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex
J. S. Hesthaven
(Pages 655 - 676)

Relaxed Notions of Curvature and a Lumped Strain Method for Elastic Plates
Cesare Davini, Igino Pitacco
(Pages 677 - 691)

Finite Element Approximations to the System of Shallow Water Equations I: Continuous-Time A Priori Error Estimates
S. Chippada, C. N. Dawson, M. L. Martinez, M. F. Wheeler
(Pages 692 - 711)

An H1-Galerkin Mixed Finite Element Method for Parabolic Partial Differential Equations
Amiya K. Pani
(Pages 712 - 727)

Analysis of Algorithms Generalizing B-Spline Subdivision
Jörg Peters, Ulrich Reif
(Pages 728 - 748)

Discrete Shocks for Finite Difference Approximations to Scalar Conservation Laws
Guang-Shan Jiang, Shih-Hsien Yu
(Pages 749 - 772)

Increasing the Order of the SMF Method for a Special Type of Problem
Pablo Martín, José M. Farto
(Pages 773 - 777)

A New Spectral Boundary Integral Collocation Method for Three-Dimensional Potential Problems
M. Ganesh, I. G. Graham, J. Sivaloganathan
(Pages 778 - 805)

Least-Squares Finite-Element Solution of the Neutron Transport Equation in Diffusive Regimes
Thomas A. Manteuffel, Klaus J. Ressel
(Pages 806 - 835)

A Neumann--Neumann Domain Decomposition Algorithm for Solving Plate and Shell Problems
Patrick Le Tallec, Jan Mandel, Marina Vidrascu
(Pages 836 - 867)

Volume 35, Number 1, February 1998

Numerical Solution of the Schrödinger Equation in a Wavelet Basis for Hydrogen-like Atoms
Patrick Fischer, Mireille Defranceschi
(Pages 1 - 12)

Approximation of the Solution to a System Modeling Heatless Adsorption of Gases
C. Bourdarias
(Pages 13 - 30)

Timestep Acceleration of Waveform Relaxation
B. Leimkuhler
(Pages 31 - 50)

A Quasi-Monte Carlo Scheme Using Nets for a Linear Boltzmann Equation
Christian Lécot, Ibrahim Coulibaly
(Pages 51 - 70)

Inversion Formulas for the Discretized Hilbert Transform on the Unit Circle
Claus B. Schneider
(Pages 71 - 77)

On Product Integration with Gauss--Kronrod Nodes
Sven Ehrich
(Pages 78 - 92)

A Nonconforming Finite Element Method for the Stationary Navier--Stokes Equations
Ohannes A. Karakashian, Wadi N. Jureidini
(Pages 93 - 120)

Multigrid Methods for the Pure Traction Problem of Linear Elasticity: Mixed Formulation
Chang-Ock Lee
(Pages 121 - 145)

The Fully Discrete Legendre Spectral Approximation of Two-Dimensional Unsteady Incompressible Fluid Flow in Stream Function Form
Guo Ben-yu, He Li-ping
(Pages 146 - 176)

The Immersed Interface Method for Nonlinear Differential Equations with Discontinuous Coefficients and Singular Sources
Andreas Wiegmann, Kenneth P. Bube
(Pages 177 - 200)

On the Stability of the Abramov Transfer for Differential-Algebraic Equations of Index 1%
Thomas Petry
(Pages 201 - 216)

A Two-Level Preconditioner for Schrödinger-Type Singular Elliptic Operator
Serguei Maliassov
(Pages 217 - 229)

A Fast Iterative Algorithm for Elliptic Interface Problems
Zhilin Li
(Pages 230 - 254)

Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
Olivier Cessenat, Bruno Despres
(Pages 255 - 299)

Inner and Outer Iterations for the Chebyshev Algorithm
Eldar Giladi, Gene H. Golub., Joseph B. Keller
(Pages 300 - 319)

First-Order System Least Squares (FOSLS) for Planar Linear Elasticity: Pure Traction Problem
Zhiqiang Cai, Thomas A. Manteuffel, Stephen F. McCormick,
Seymour V. Parter
(Pages 320 - 335)

Finite Element Analysis of the Landau--de Gennes Minimization Problem for Liquid Crystals
Timothy A. Davis, Eugene C. Gartland Jr.
(Pages 336 - 362)

Uniformly Superconvergent Approximations for Linear Two-Point Boundary Value Problems
HongSung Jin, Steven Pruess
(Pages 363 - 375)

Finite Element Analysis of Microstructure for the Cubic to Tetragonal Transformation
Bo Li, Mitchell Luskin
(Pages 376 - 392)

Least-Squares Finite Element Approximations to Solutions of Interface Problems
Yanzhao Cao, Max D. Gunzburger
(Pages 393 - 405)

The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations
Zhongying Chen, Yuesheng Xu
(Pages 406 - 434)

Volume 34, Number 6, December 1997

Order Conditions for General Two-Step Runge--Kutta Methods
Ernst Hairer, Gerhard Wanner
(Pages 2087 - 2089)

Parallel Domain Decomposition Solver for Adaptive hp Finite Element Methods
J. T. Oden, Abani Patra, Yusheng Feng
(Pages 2090 - 2118)

Implementation of Diagonally Implicit Multistage Integration Methods for Ordinary Differential Equations
J. C. Butcher, Z. Jackiewicz
(Pages 2119 - 2141)

Numerical Methods in the Weak Sense for Stochastic Differential Equations with Small Noise
G. N. Milstein, M. V. Tret'yakov
(Pages 2142 - 2167)

Relaxation Schemes for Nonlinear Kinetic Equations
E. Gabetta, L. Pareschi, G. Toscani
(Pages 2168 - 2194)

Covolume Solutions of Three-Dimensional Div-Curl Equations
Roy A. Nicolaides, Xiaonan Wu
(Pages 2195 - 2203)

On Order Conditions for Partitioned Symplectic Methods
Ander Murua
(Pages 2204 - 2211)

Multiwavelets for Second-Kind Integral Equations
Tobias von Petersdorff, Christoph Schwab, Reinhold
(Pages 2212 - 2227)

Fully Discrete Finite Element Analysis of Multiphase Flow in Groundwater Hydrology
Zhangxin Chen, Richard E. Ewing
(Pages 2228 - 2253)

Convergence of a Multigrid Method for Elliptic Equations with Highly Oscillatory Coefficients
Bjorn Engquist, Erding Luo
(Pages 2254 - 2273)

Spline Collocation Differentiation Matrices
Robert D. Russell, Weiwei Sun
(Pages 2274 - 2287)

Numerical Solution of the Generalized Airfoil Equation for an Airfoil with a Flap
G. Monegato, I. H. Sloan
(Pages 2288 - 2305)

The Optimal Convergence Rate of Monotone Finite Difference Methods for Hyperbolic Conservation Laws
Florin Sabac
(Pages 2306 - 2318)

On the Locking of the Finite Element Method in Thermoelasticity
Eric Boillat
(Pages 2319 - 2334)

Coupling of Mixed Finite Elements and Boundary Elements for A Hyperelastic Interface Problem
Gabriel N. Gatica, Wolfgang L. Wendland
(Pages 2335 - 2356)

Multidimensional Interpolatory Subdivision Schemes
Sherman D. Riemenschneider, Zuowei Shen
(Pages 2357 - 2381)

A Field-Based Mixed Formulation for the Two-Dimensional Magnetostatic Problem
I. Perugia
(Pages 2382 - 2391)

Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
Ivo M. Babuska, Stefan A. Sauter
(Pages 2392 - 2423)

Global Superconvergence for the Bilinear-Constant Scheme for the Stokes Problem
Jianhua Pan
(Pages 2424 - 2430)

Convergence of the Combination Technique for Second-Order Elliptic Differential Equations
Christoph Pflaum
(Pages 2431 - 2455)

On SOR Waveform Relaxation Methods
Jan Janssen, Stefan Vandewalle
(Pages 2456 - 2481)

Quasi-Optimal Schwarz Methods for the Conforming Spectral Element Discretization
Mario A. Casarin
(Pages 2482 - 2502)

Volume 34, Issue 5, October 1997

Error Analysis for Chorin's Original Fully Discrete Projection Method and Regularizations in Space and Time
Brian R. Wetton
pp. 1683 - 1697

Superconvergence of Numerical Solutions to Volterra Integral Equations with Singularities
Qiya Hu
pp. 1698 - 1707

A New Algorithm For Computing Liquid Crystal Stable Configurations: The Harmonic Mapping Case
François Alouges
pp. 1708 - 1726

First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
Z. Cai, T. A. Manteuffel, S. F. McCormick
pp. 1727 - 1741

Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation
D. B. Duncan
pp. 1742 - 1760

A Complete Convergence and Stability Theory for a Generalized Richardson Extrapolation Process
Avram Sidi
pp. 1761 - 1778

Convergence of an Iterative Method for Total Variation Denoising
David C. Dobson, Curtis R. Vogel
pp. 1779 - 1791

Error Analysis of Symplectic Multiple Time Stepping
Todd R. Littell, Robert D. Skeel, Meiqing Zhang
pp. 1792 - 1807

Optimal Approximability of Solutions of Singularly Perturbed Two-Point Boundary Value Problems
R. Bruce Kellogg, Martin Stynes
pp. 1808 - 1816

Analysis of Least-Squares Finite Element Methods for the Navier--Stokes Equations
Pavel B. Bochev
pp. 1817 - 1844

FEM and BEM Coupling for a Nonlinear Transmission Problem with Signorini Contact
Carsten Carstensen, Joachim Gwinner
pp. 1845 - 1864

A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
Andrzej Palczewski, Jacques Schneider, Alexandre V. Bobylev
pp. 1865 - 1883

Monte Carlo Variance of Scrambled Net Quadrature
Art B. Owen
pp. 1884 - 1910

On Krylov Subspace Approximations to the Matrix Exponential Operator
Marlis Hochbruck, Christian Lubich
pp. 1911 - 1925

Symplectic Methods Based on Decompositions
A. L. Araújo, A. Murua, J. M. Sanz-Serna
pp. 1926 - 1947

A Variational Method in Image Recovery
Gilles Aubert, Luminita Vese
pp. 1948 - 1979

Analysis and Approximation of Conservation Laws with Source Terms
J. M. Greenberg, A. Y. LeRoux, R. Baraille, A. Noussair
pp. 1980 - 2007

Large-Scale Continuation and Numerical Bifurcation for Partial Differential Equations
Bryan D. Davidson
pp. 2008 - 2027

Application of Threshold-Accepting to the Evaluation of the Discrepancy of a Set of Points
Peter Winker, Kai-Tai Fang
pp. 2028 - 2042

Analysis of the Cell Vertex Finite Volume Method for the Cauchy--Riemann Equations
M. Vanmaele, K.W. Morton, E. Süli, A. Borzě
pp. 2043 - 2062

Sympletic Runge--Kutta Shemes I: Order Conditions
M. Sofroniou, W. Oevel
pp. 2063 - 2086

Volume 34, Issue 4, August 1997

A Comparison of some Methods for Solving Linear Interval Equations
S. Ning, R. B. Kearfott
pp. 1289 - 1305

Solution to the Time-Harmonic Maxwell's Equations in a Waveguide; Use of Higher-Order Derivatives for Solving the Discrete Problem
Philippe Guillaume, Mohamed Masmoudi
pp. 1306 - 1330

High-Order Corrected Trapezoidal Quadrature Rules for Singular Functions
Sharad Kapur, Vladimir Rokhlin
pp. 1331 - 1356

A Kernel-based Method for the Approximate Solution of Backward Parabolic Problems
Karen A. Ames, James F. Epperson
pp. 1357 - 1390

Error Growth in the Numerical Integration of Periodic Orbits, with Application to Hamiltonian and Reversible Systems
B. Cano, J. M. Sanz-Serna
pp. 1391 - 1417

Preconditioners for Wiener--Hopf Equations with High-Order Quadrature Rules
Fu-Rong Lin, Michael K. Ng, Raymond H. Chan
pp. 1418 - 1431

Numerical Solution of First-Kind Volterra Equations by Sequential Tikhonov Regularization
Patricia K. Lamm, Lars Eldén
pp. 1432 - 1450

Spectrally Accurate Solution of Nonperiodic Differential Equations by the Fourier--Gegenbauer Method
L. Vozovoi, A. Weill, M. Israeli
pp. 1451 - 1471

Swapping Edges of Arbitrary Triangulations to Achieve the Optimal Order of Approximation
Charles K. Chui, Dong Hong
pp. 1472 - 1482

Attractors and Inertial Manifolds for Finite-Difference Approximations of the Complex Ginzburg--Landau Equation
Gabriel James Lord
pp. 1483 - 1512

Heterogeneous Domain Decomposition for Singularly Perturbed Elliptic Boundary Value Problems
Marc Garbey, Hans G. Kaper
pp. 1513 - 1544

Nonconforming Mortart Element Methods for the Spectral Discretization of Two-Dimensional Fourth-Order Problems
Zakaria Belhachmi
pp. 1545 - 1573

Multilevel Methods in Space and Time for the Navier--Stokes Equations
J. B. Burie, M. Marion
pp. 1574 - 1599

A Posteriori Error Estimators for Nonconforming Approximation of Some Quasi-Newtonian Flows
Claudio Padra
pp. 1600 - 1615

The Spectral Projection Decomposition Method for Elliptic Equations in Two Dimensions
P. Gervasio, E. Ovtchinnikov, A. Quarteroni
pp. 1616 - 1639

Generation of Pseudospectral Differentiation Matrices I
Bruno D. Welfert
pp. 1640 - 1657

Adaptive Multilevel Techniques for Mixed Finite Element Discretizations of Elliptic Boundary Value Problems
Ronald H. W. Hoppe, Barbara Wohlmuth
pp. 1658 - 1681

Volume 34, Number 3, June 1997

Computation of Singularities in Large Nonlinear Systems
W. Govaerts
pp. 867 - 880

Stability and Convergence of a Finite Element Method for Reactive Transport in Ground Water
Zhangxin Chen and Richard E. Ewing
pp. 881 - 904

Scattered Data Interpolation Using C2 Supersplines of Degree Six
Ming-Jun Lai and Larry L. Schumaker
pp. 905 - 921

Subdivision Direction Selection in Interval Methods for Global Optimization
T. Csendes and D. Ratz
pp. 922 - 938

Preconditioning Chebyshev Spectral Collocation by Finite-Difference Operators
Sang Dong Kim and Seymour V. Parter
pp. 939 - 958

Optimal L1-Rate of Convergence for The Viscosity Method and Monotone Scheme to Piecewise Constant Solutions with Shocks
Zhen-huan Teng and Pingwen Zhang
pp. 959 - 978

Mesh Smoothing Using A Posteriori Error Estimates
Randolph E. Bank and R. Kent Smith
pp. 979 - 997

A Convergence Analysis of an H-Version Finite-Element Method with High-Order Elements for Two-Dimensional Elasto-Plasticity Problems
Yiwei Li and Ivo Babuska
pp. 998 - 1036

A Finite-Element Method for Laplace- and Helmholtz-Type Boundary Value Problems with Singularities
Xiaonan Wu and Houde Han
pp. 1037 - 1050

A Sequential Regularization Method for Time-Dependent Incompressible Navier--Stokes Equations
Ping Lin
pp. 1051 - 1071

Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
James H. Bramble, Joseph E. Pasciak, and Apostol T. Vassilev
pp. 1072 - 1092

A Penalized Finite-Element Method for a Compressible Stokes System
R. Bruce Kellogg and Biyue Liu
pp. 1093 - 1105

Analysis of Moving Mesh Partial Differential Equations with Spatial Smoothing
Weizhang Huang and Robert D. Russell
pp. 1106 - 1126

Analysis of the Cell-Vertex Finite Volume Method for Hyperbolic Problems with Variable Coefficients
Philippe Balland and Endre Süli
pp. 1127 - 1151

An L1--Error Bound for a Semi-Implicit Difference Scheme Applied to a Stiff System of Conservation Laws
Hans Joachim Schroll, Aslak Tveito, and Ragnar Winther
pp. 1152 - 1166

Best Error Estimates for Odd and Even Degree Deficient Splines
François Dubeau
pp. 1167 - 1184

An ADI Method for Hysteretic Reaction-Diffusion Systems
Chichia Chiu and Noel Walkington
pp. 1185 - 1206

The Numerical Computation of Homoclinic Orbits for Maps
W.-J. Beyn and J.-M. Kleinkauf
pp. 1207 - 1236

Error Estimates with Sharp Constants for a Fading Memory Volterra Problem in Linear Solid Viscoelasticity
S. Shaw, M. K. Warby, and J. R. Whiteman
pp. 1237 - 1254

The Application of Eigenpair Stability to Block Diagonalization
Nilotpal Ghosh, William W. Hager, and Purandar Sarmah
pp. 1255 - 1268

Defining Functions for Multiple Hopf Bifurcations
W. Govaerts, J. Guckenheimer, and A. Khibnik
pp. 1269 - 1288

Volume 34, Number 2, April 1997

First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
Zhiqiang Cai, Thomas A. Manteuffel, and Stephen F. McCormick
pp. 425 - 454

Finite Element Approximation of The Transport of Reactive Solutes in Porous Media. Part II: Error Estimates for Equilibrium
John W. Barrett and Peter Knabner
pp. 455 - 479

Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation
C. L. Chang and John J. Nelson
pp. 480 - 489

Convergence Past Singularities for a Fully Discrete Approximation of Curvature-Drive Interfaces
Ricardo H. Nochetto and Claudio Verdi
pp. 490 - 512

A Note on the Superlinear Convergence of GMRES
Igor Moret
pp. 513 - 516

On Converse and Saturation Results for Tikhonov Regularization of Linear Ill-Posed Problems
Andreas Neubauer
pp. 517 - 527

Unconditional Contractivity in the Maximum Norm of Diagonally Split Runge--Kutta Methods
A Bellen and L. Torelli
pp. 528 - 543

An hp Error Analysis of MITC Plate Elements
Rolf Stenberg and Manil Suri
pp. 544 - 568

Fitting Monotone Surfaces to Scattered Data Using C1 Piecewise Cubics
Lu Han and Larry L. Schumaker
pp. 569 - 585

Cubature Rules of Prescribed Merit
J. N. Lyness and I. H. Sloan
pp. 586 - 602

A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change
Alain Bamberger, Roland Glowinski, and Quang Huy Tran
pp. 603 - 639

Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity
Zhimin Zhang
pp. 640 - 663

Three-Dimensional Finite Element Methods for the Stokes Problem
Daniele Boffi
pp. 664 - 670

A New Theoretical Approach to Absorbing Layers
Patrick Joly and Jukka Tuomela
pp. 671 - 698

Schwarz Methods: To Symmetrize or Not to Symmetrize
Michael Holst and Stefan Vandewalle
pp. 699 - 722

Analysis of the Spatial Error for a Class of Finite Difference Methods for Viscous Incompressible Flow
Brian R. Wetton
pp. 723 - 755

Does Error Control Suppress Spuriosity?
Mark A. Aves, David F. Griffiths, and Desmond J. Higham
pp. 756 - 778

Characteristic Galerkin Schemes for Scalar Conservation Laws in Two and Three Space Dimensions
Peixiong Lin, K. W. Morton, and E. Süli
pp. 779 - 796

Solving Polynomial Systems Using a Branch and Prune Approach
Pascal Van Hentenryck, David McAllester, and Deepak Kapur
pp. 797 - 827

Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
Todd Arbogast, Mary F. Wheeler, and Ivan Yotov
pp. 828 - 852

Erratum: Quadrature Error Bounds with Applications to Lattice Rules
Fred J. Hickernell
pp. 853 - 866

Volume 34, Number 1, February 1997

Computing Hopf Bifurcations I
John Guckenheimer, Mark Myers, and Bernd Sturmfels
pp. 1 - 21

Highly Continuous Interpolants for One-Step ODE Solvers and their Application to Runge--Kutta Methods
S. N. Papakostas, Ch. Tsitouras
pp. 22 - 47

Analysis of a Minimum Perturbation Algorithm for Nonsymmetric Linear Systems
Ebrahim M. Kasenally and Valeria Simoncini
pp. 48 - 66

A Geometrical-Mechanical Interpretation of Gradient-Weighted Moving Finite Elements
Keith Miller
pp. 67 - 90

Sequential and Parallel Splitting Methods for Bilinear Control Problems in Hilbert Spaces
K. Kunisch and X.-C. Tai
pp. 91 - 118

Global Dissipativity for A-Stable Methods
A. T. Hill
pp. 119 - 142

Qualitative and Numerical Analysis of Quasi-Static Problems in Elastoplasticity
Weimin Han, B. Daya Reddy, and Gregory C. Schroeder
pp. 143 - 177

Multigrid Methods for Nearly Singular Linear Equations and Eigenvalue Problems
Zhiqiang Cai, Jan Mandel, and Steve McCormick
pp. 178 - 200

Finite Element Approximation of the Transport of Reactive Solutes in Porous Media. Part 1: Error Estimates for Nonequilibrium Adsorption Processes
John W. Barrett and Peter Knabner
pp. 201 - 227

A Posteriori Error Estimators for the Stokes and Oseen Equations
Mark Ainsworth and J. Tinsley Oden
pp. 228 - 245

Uniformly Accurate Schemes for Hyperbolic Systems with Relaxation
Russel E. Caflisch, Shi Jin, and Giovanni Russo
pp. 246 - 281

Polynomial Liftings on a Tetrahedron and Applications to the h-p Version of the Finite Element Method in Three Dimensions
Rafael Muńoz-Sola
pp. 282 - 314

Finite Element Solution of the Helmholtz Equation with High Wave Number Part II: The h-p Version of the FEM
Frank Ihlenburg and Ivo Babuska
pp. 315 - 358

Multistep Numerical Methods Based on the Scheifele G-Functions with Application to Satellite Dynamics
Pablo Martín and José M. Ferrándiz
pp. 359 - 375

Stability Analysis of an Odd--Even-Line Hopscotch Method for Three-Dimensional Advection--Diffusion Problems
J. G. Verwer, B. P. Sommeijer
pp. 376 - 388

On the Stability of the Discontinuous Galerkin Method for the Heat Equation
Ch. G. Makridakis and I. Babuska
pp. 389 - 401

On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems
Luca Dieci, Robert D. Russell, and Erik S. Van Vleck
pp. 402 - 423

FEBRUARY 1990 Volume 27, Number 1

Finite-Element approximations of a Ladyzhenskaya Model for Stationary Incompressible Viscous Flow
Qiang Du and Max D. Gunzburger

A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
J. C. Lopez-Marcos

A Spectral Method for the Numerical Simulation of Quantum Tunneling Phenomena
Christian Ringhofer

An Algebraic Approximation for the Matrix Exponential in Singularly Perturbed Boundary Value Problems
Bernhard A. Schmitt

Asymptotic Error Expansions for Stiff Equations: The Implicit Euler Scheme
W. Auzinger, R. Frank, and F. Macsek

On the R-Order of Newton-Like Methods for Enclosing Solutions of Nonlinear Equations
Andreas Frommer and Gunter Mayer

Polynomial Scaling
S. Ghaderpanah and S. Klasa

M-Functions and Parallel Asynchronous Algorithms
Didier El Baz

On the Convergence of Constrained Optimization Methods with Accurate Hessian Information on a Subspace
Richard H. Byrd

Inexact Secant Methods for Nonlinear Constrained Optimization
Rodrigo Fontecilla

Convergence Acceleration for the Numerical Solution of Second-Order Linear Recurrence Relations
Paul Levrie and Adhemar Bultheel

A Convergence Acceleration Method for Some Logarithmically Convergent Sequences
Naoki Osada

Lawson's Triangulation is Nearly Optimal for Controlling Error Bounds
F. Wesley Wilson, R. Kent Goodrich, and Wendy Spratte

Symmetric Numerical Integration Formulas for Regular Polygons
M. Nooijen, G. te Velde, and E. J. Baerends

A Note of the Contour Integral Representation of the Remainder Term for a Gauss-Chebyshev Quadrature Rule
Walter Gautschi, E. Tychopoulos, and R. S. Varga

Trapezoidal Monte Carlo Integration
Elias Masry and Stamatis Cambanis

Quasimonotone Schemes for Scalar Conservation Laws. Part II
Bernardo Cockburn

Quasimonotone Schemes for Scalar Conservation Laws. Part III
Bernardo Cockburn

APRIL 1990 Volume 27, Number 2

An A Posteriori Error Estimate and Adaptive Timestep Control for a Backward Euler Discretization of a Parabolic Problem
Claes Johnson, Yi-Yong Nie, and Vidar Thomee

Regularity Estimates up to the Boundary for Elliptic Systems of Difference Equations
John C. Strikwerda, Bruce A. Wade, and Kenneth P. Bube

Second-Order Absorbing Boundary Conditions for the Wave Equation: A Solution for the Corner Problem
Alain Bamberger, Patrick Joly, and Jean E. Roberts

Finite-Element Approximations of the Nonstationary Navier-Stokes Problem Part IV: Error Estimates for Second-Order Time Discretization
John G. Heywood and Rolf Rannacher

On Lipschitz Continuity of Nonlinear Differential Operators
Stephen L. Keeling

Galerkin/Runge-Kutta Discretizations for Semilinear Parabolic Equations
Stephen L. Keeling

On the Convergence of Finite-Element Approximations of a Relaxed Variational Problem
Donald A. French

On the Computation of Manifolds of Foldpoints for Parameter-Dependent Problems
Rui-Xiu Dai and Werner C. Rheinboldt

On Order Reduction for Runge-Kutta Methods Applied to Differential Algebraic System and to Stiff Systems of ODEs
Kevin Burrage and Linda Petzold

Error Analysis of a Laplace Transform Inversion Procedure
Wilson C. Obi

Discrete Variable Methods for the m-Dependent Variable, Nonlinear Extremal Problem in the Calculus of Variations
John Gregory and R. S. Wang

Shape-Preserving Bivariate Interpolation
Paolo Constantini and Ferruccio Fontanella

Modifications of the First Remez Algorithm
Rembert Reemtsen

PDLg Splines Defined by Partial Differential Operators with Initial and Boundary Value Conditions
Rui J. P. DeFigueiredo and Guanrong Chen

Local Error Estimates of the Three-Dimensional Panel Methods in Terms of the Curvilinear Surface Coordinates
J. E. Romate

Instability in the Dimension of Spaces of Bivariate Piecewise Polynomials of Degree 2r and Smoothness Order r
Dwight Diener

JUNE 1990 Volume 27, Number 3

Characteristic Galerkin Methods for Scalar Conservation Laws in One Dimension
P. N. Childs and K. W. Morton

A Priori L2 Error Estimates for Finite-Element Methods for Nonlinear Diffusion Equations with Memory
J. R. Cannon and Yanping Lin

Galerkin Methods for Nonlinear Parabolic Integrodifferential Equations with Nonlinear Boundary Conditions
Yanping Lin

Iterative Methods for a Forward-Backward Heat Equation
V. Vanaja and R. B. Kellogg

On the Accuracy of the Finite Volume Element Method for Diffusion Equations on Composite Grids
Zhiqiang Cai and Steve McCormick

Preconditioning and Boundary Conditions
Thomas A. Manteuffel and Seymour V. Parter

A Variational Formulation for the Chebyshev Pseudospectral Approximation of Neumann Problems
Daniele Funaro

Efficient Solution of Nonlinear Ordinary Differential Equations Expressed in S-System Canonical Form
Douglas H. Irvine and Michael A. Savageau

Runge-Kutta Methods and Differential-Algebraic Systems
Roger K. Alexander and James J. Coyle

Towards Efficient Runge-Kutta Methods for Stiff Systems
J. C. Butcher and J. R. Cash

Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices
Jesse Barlow and James Demmel

On the Stability of Singular Finite Rank Methods
Lalita N. Deshpande and Balmohan V. Limaye

Preconditioners for the Interval Gauss-Seidel Method
R. Baker Kearfott

On the Coefficients of Integrated Expansions of Ultraspherical Polynomials
Timothy N. Phillips and Andreas Karageorghis

AUGUST 1990 Volume 27, Number 4

Radiation Boundary Conditions for Elastic Wave Propagation
Robert L. Higdon

A Numerical Method for Viscous Perturbations of Hyperbolic Conservation Laws
Eduard Harabetian

Spectral Methods for Initial Boundary Value Problems--An Alternative Approach
P. Dutt

High-Order Finite Differences and the Pseudospectral Method on Staggered Grids
Bengt Fornberg

Feature-Oriented Image Enhancement Using Shock Filters
Stanley Osher and Leonid I. Rudin

The Backward Euler Method for Numerical Solution of the Hodgkin-Hunley Equations of Nerve Conduction
Michael Mascagni

On Finite Element Domain Imbedding Methods
Christoph Borgers and Olof B. Widlund

Multigrid Methods for Nonconforming Finite Element Methods
D. Braess and R. Verfurth

On the Numerical Solution of Nonlinear Volterra-Fredholm Integral Equations by Collocation Methods
Hermann Brunner

The Conditioning of Boundary Value Problems in Transferable Differential-Algebraic Equations
M. Lentini and R. Marz

Convexity-Preserving Piecewise Rational Cubic Interpolation
John C. Clements

An Algorithm for General Restricted Rational Chebyshev Approximation
R. Hettich and P. Zencke

A Family of Quasi-Newton Methods for Nonlinear Equations with Direct Secant Updates of Matrix Factorizations
Jose Mario Martinez

The Projected Gradient Method for Least Squares Matrix Approximations with Spectral Constraints
Moody T. Chu and Kenneth R. Friessel

Multiplier Methods for Nonlinear Optimal Control
William W. Hager

On the Identification of Active Constraints II: The Nonconvex Case
Jim Burke

OCTOBER 1990 Volume 27, Number 5

Discrete Vector Potential Representation of a Divergence-Free Vector Field in Three-Dimensional Domains: Numerical Analysis of a Model Problem
Francois Dubois

The Rate of Convergence of Spectral-Viscosity Methods for Periodic Scalar Conservation Laws
S. Schochet

Error Estimates for the Spectral Approximation of the Nonstationary Stokes Problem
Giovanni Sacchi Landriani and Herve Vandeven

A Triangulation Algorithm for Fast Elliptic Solvers Based on Domain Imbedding
Christoph Borgers

A Subdomain Galerkin/Least Squares Method for First-Order Elliptic Systems in the Plane
Ching-Lung Chang and Max D. Gunzberger

Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem
Martin Costabel and Ernst P. Stephan

Least-Change Secant Update Methods for Underdetermined Systems
Homer F. Walker and Layne T. Watson

Least-Change Secant Updates of Nonsquare Matrices
Samih K. Bourji and Homer F. Walker

Closure and Precision in Level-Index Arithmetic
D. W. Lozier and F. W. J. Olver

A Constrained Two-Dimensional Triangulation and the Solution of Closest Node Problems in the Presence of Barriers
A. K. Cline and R. J. Renka

Optimal Lebesque Constant for Lagrange Interpolation
P. Vertesi

A Contrast of Some Runge-Kutta Formula Pairs
J. H. Verner

Convergence of Piessens' Method for Numerical Inversion of the Laplace Transform on the Real Line
Davis K. Cope

The Convergence of an Algorithm for Finding the Distance Between a Ball in a Subspace and a Sum of Subspaces
Y. Ritov

On Multiple Eigenvalues of Matrices Depending on Several Parameters
King-Wah Eric Chu

DECEMBER 1990 Volume 27, Number 6

Convergence of a Variable Blob Vortex for the Euler and Navier-Stokes Equations
Thomas Y. Hou

Boltzmann Type Schemes for Gas Dynamics and the Entropy Property
B. Perthame

A Local Refinement Finite-Element Method for One-Dimensional Parabolic Systems
Peter K. Moore and Joseph Flaherty

Projection Methods for a Class of Hammerstein Equations
Jukka Saranen

Iterative Solution Methods for Plate Bending Problems: Multigrid and Preconditioned eg Algorithm
P. Peisker, W. Rust, and E. Stein

Piecewise Solenoidal Vector Fields and the Stokes Problem
Garth A. Baker, Wadi N. Jureidini, and Ohannes A. Karakashian

Equivalence of Finite Element Methods for Problems in Elasticity
Richard S. Falk and Mary E. Morley

Rate of Convergence of Multistep Codes Started by Variation of Order and Stepsize
L. F. Shampine and W. Zhang

Conditioning and Dichotomy in Differential Algebraic Equations
M. Lentini and R. Marz

Differential Algebraic Equations, Indices, and Integral Algebraic Equations
C. W. Gear

Extrapolation of the Iterated-Collocation Method for Integral Equations of the Second Kind
Q. Lin, I. H. Sloan, and R. Xie

A Taxonomy for Conjugate Gradient Methods
Steven F. Ashby, Thomas A. Manteuffel

Algebraic Multilevel Preconditioning Methods, II
O. Axelsson and P. S. Vassilevski

Monotonicity and Discretization Error Estimates
O. Axelsson and L. Kolotilina

On the Conjugate Gradient Solution of the Schur Complement System Obtained from Domain Decomposition
Lois Mansfield

A Regularization Method for Solving the Finite Convex Min-Max Problem
Cristina Gigola and Susana Gomez

Convergence Characteristics of Methods of Regularization Estimators for Nonlinear Operator Equations
Finbarr O'Sullivan

FEBRUARY 1991 Volume 28, Number 1

Convergence of a Particle Method for the Relativistic Vlasov- Maxwell System
Robert Glassey and Jack Schaeffer

Numerical Passage from Kinetic to Fluid Equations
F. Coron and B. Perthame

Adaptive finite element methods for parabolic problems I: A linear model problem.
Kenneth Eriksson and Claes Johnson

A Finite-Difference Scheme for the Navier-Stokes Equations of One-Dimensional, Isentropic, Compressible Flow
Roger Zarnowski and David Hoff

A Pseudospectral Finite-Element Method for Solving Two- Dimensional Vorticity Equations
Guo Ben-Yu and Ma He-Ping

A Note on the Convergence of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
Todd E. Peterson

Solution of Steady-State, Two-Dimensional Conservation Laws by Mathematical Programming
John E. Lavery

A Weighted Least Squares Method for the Backward-Forward Heat Equation
A. K. Aziz and J.-L. Liu

Physically Motivated Domain Decomposition for singularly Perturbed Equations
Jeffrey S. Scroggs

On the Schwarz Alternating Method with More than Two Subdomains for Nonlinear Monotone Problems
Lori Badea

Convergence Rates for the Feedback Operators arising in the Linear Quadratic Regulator Problem Governed by Parabolic Equations
M. Kroller and K. Kunisch

Approximation Methods for the Consistent Initialization of Differential-Algebraic Equations
B. Leimkuhler, L. R. Petzold, and C. W. Gear

Bounds and Estimates for Condition Numbers of Integral Equations
Peter Linz

Accelerated Projection and Iterated Projection Methods with Applications to Nonlinear Integral Equations
David R. Dellwo and Morton B. Friedman

On the Global Convergence of Trust Region Algorithms using Inexact Gradient Information
Richard G. Carter

A Global Convergence Theory for the Celis-Dennis-Tapia Trust Region Algorithm for Constrained Optimization`
Mahmoud El-Alem

APRIL 1991 Volume 28, Number 2

Convergence of the Grid-Free Point Vortex Method for the Three-Dimensional Euler Equations
Georges-Henri Cottet, Jonathan Goodman, and Thomas Y. Hou

Convergence of a Point Vortex Method for Vortex Sheets
Thomas Y. Hou, John Lowengrub, and Robert Krasny

Numerical Approximation of the Solution of a Variational Problem with a Double Well Potential
Charles Collins, David Kinderlehrer, and Mitchell Luskin

Spectral Approximations of the Stokes Equations with Boundary Conditions on the Pressure
Christine Bernardi, Claudio Canuto, and Yvon Maday

Quasi-Optimal Pointwise Error Estimates for the Reissner-Mindlin Plate
Lucia Gastaldi and Ricardo H. Nochetto

Geometry Related Convergence Results for Domain Decomposition Algorithms
Tony F. Chan, Thomas Y. Hou, and P. L. Lions

The Finite Volume Element Method for Diffusion Equations on General Triangulations
Zhiqiang Cai, Jan Mendel, and Steve McCormick

A Finite-Element Approximation Theory for the Drift Diffusion Semiconductor Model
Joseph W. Jerome and Thomas Kerkhoven

A Spectral Method of Characteristics for Hyperbolic Problems
Endre Suli and Antony Ware

On Nonconforming Combinations of Various Finite Element Methods for Solving Elliptic Boundary Value Problems
Zi-Cai Li

Convergence of Trust Region Algorithms for Optimization with Bounds when Strict Complementarity Does Not Hold
M. Lescrenier

Some Runge-Kutta Formula Pairs
J. H. Verner

Estimation of the Error in the Reduced Basis Method Solution of the Differential Algebraic Equation Systems
Meeei-Yow Lin Lee

A Method of Analytic Centers for Quadratically Constrained Convex Quadratic Programs
Sanjay Mehrotra and Jie Sun

A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
Andrew R. Conn, Nicholas I. M. Gould, and Philippe L. Toint

Polynomial Extrapolation from [-1,1] to the Unit Disc
L. Brutman

JUNE 1991 Volume 28, Number 3

Stability of Higher-Order Hood-Taylor Methods
Franco Brezzi and Richard S. Falk

A Posteriori Error Estimates for the Stokes Problem
Randolph E. Bank and Bruno D. Welfert

Efficient Preconditioning for the P-Version Finite Element Method in Two Dimensions
I. Babuska, A. Craig, J. Mandel, and J. Pitkaranta

Error Bounds for Numerical Solutions to Hydrodynamical Problems Involving Shocks
D. L. Hicks and K. L. Kuttler

Upstream Differencing for Multiphase Flow in Reservoir Simulation
Yann Brenier and Jerome Jaffre

Convergence of the Galerkin Method for Two-Dimensional Electromagnetic Problems
H. P. Urbach

Alternating Direction Collocation for Separable Elliptic Partial Differential Equations
K. D. Cooper and P. M. Prenter

An Adapted Boundary Element Method for the Dirichlet Problem in Polygonal Domains
M. Boulard, S. Nicaise, and L. Paquet

An Explicit Finite Element Method for Convection-Dominated Steady State Convection-Diffusion Equations
Gerard R. Richter

The Sinc-Galerkin Method for the Fourth-Order Differential Equations
Ralph C. Smith, Gary A. Bogar, Kenneth L. Bowers, and John Lund

Numerical Computation and Continuation of Invariant Manifolds Connecting Fixed Points
Mark J. Friedman and Eusebius J. Doedel

The Numerical Solution of Nonlinear Equations Having Several Parameters, Part III: Equations with Z2-Symmetry
A. D. Jepson, A. Spence, and K. A. Cliffe

The Analysis of Generalized Backward Difference Methods Applied to Hessenberg Form Differential Algebraic Equations
J. B. Keiper and C. W. Gear

Alternating Direction Implicit Iteration for Systems with Complex Spectra
Nancy S. Ellner and Eugene L. Wachspress

The Spectra of Super-Optimal Circulant Preconditioned Toeplitz Systems
Raymond H. Chan, Xiao-Qing Jin, and Man-Chung Yeung

Error Estimates in Gaussian Quadrature for Functions of Bounded Variation
Klaus-Jurgen Forster, and Knut Petras

AUGUST 1991 Volume 28, Number 4

Local Error Estimates for Discontinuous Solutions of Nonlinear Hyperbolic Equations
Eitan Tadmor

High-Order Essentially Nonoscillatory Schemes for Hamilton-Jacobi Equations
Stanley Osher and Chi-Wang Shu

A Fully Discretized Approximation Scheme for Size-Structured Population Models
K. Ito, F. Kappel and G. Peichl

The Convergence Analysis of Fully Discretized Particle Methods for Solving Vlasov-Poisson Systems
H. D. Victory, Jr. Garry Tucker and Keshab Ganguly

Temporal Derivatives in the Finite-Element Method on Continuously Deforming Grids
P. K. Jimack and A. J. Wathen

A Finite Element Method for the Mindlin-Reissner Plate Model
Ricardo Duran, Adriana Ghioldi, and Noemi Wolanski

Superconvergence of the Velocity Along the Gauss Lines in Mixed Finite Element Methods
R. E. Ewing, R. D. Lazarov, and J. Wang

Existence and Approximation Results for Thermal Boundary Layer Equations of Reactivation Flows
P. Lesaint and J. Pousin

Ritz-Volterra Projections to Finite-Element Spaces and Applications to Integrodifferential and Related Equations
Yanping Lin, Vidar Thomee, and Lars B. Wahlbin

Spectral Integration and Two Point Boundary Value Problems
L. Greengard

Order Conditions for Canonical Runge-Kutta Schemes
J. M. Sanz-Serna and L. Abia

Projected Implicit Runge-Kutta Methods for Differential-Algebraic Equations
Uri M. Ascher and Linda R. Petzold

A Fully-Discrete Spectral Method for Delay-Differential Equations
K. Ito, H. T. Tran, and A. Manitius

Approximation of Upper Lyapunov Exponents of Bilinear Stochastic Differential Systems
Denis Talay

Two-Step Runge-Kutta Methods
Z. Jackiewicz, R. Renaut, and A. Feldstein

Avoiding the Maratos Effect by Means of a Nonmontone Line Search I. General Constrained Problems
Eliane R. Panier and Andre L. Tits

Some New Formulae for the Stieltjes Polynomials Relative to Classical Weight Functions
Sotirios E. Notaris

OCTOBER 1991 Volume 28, Number 5

The Convergence Theory of Particle-in-Cell Methods for Multidimensional Vlasov-Poisson Systems
H. D. Victory, Jr and Edward J. Allen

The Dependence on the Outflow Boundary Condition of the Solution of Steady, Incompressible Euler Equations
Gunilla Kreiss

An Alternating Direction Galerkin Method for a Class of Second-Order Hyperoblic Equations in Two Space Varibles
Ryan I. Fernandes and Graeme Fairweather

Godunov-Mixed Methods for Advective Flow Problems in One Space Dimension
Clint N. Dawson

Numerical Analysis of a Continuum Model of Phase Transition
Qiang Du and R. A. Nicolaides

An Analysis of the Moving Finite-Element Procedure
M. J. Baines

Convergence Rates for the Feedback Operators Arising in the Linear Quadratic Regulator Problem Governed by Parabolic Equations
M. Kroller and K. Kunisch

Preconditioning Singularity Perturbed Elliptic and Parabolic Problems
C. I. Goldstein

Convergence of Finite Volume Schemes for Poisson's Equation on Nonuniform Meshe
Endre Suli

Optimal Alternating Direction Implicit Parameters for Nonsymmetric Systems of Linear Equations
Gerhard Starke

O. K. Floquet Multipliers
Thomas F. Fairgrieve and Allan D. Jepson

The Bidiagonal Singular Value Decomposition and Hamiltonian Mechanics
Percy Deift, James Demmel, Luen-Chau Li, and Carlos Tomei

A Comment on Parrott's Theorem
Geir Naevdal

DECEMBER 1991 Volume 28, Number 6

Navier-Stokes Equations for Almost Incompressible Flow
Bertil Gustafsson and Hans Stoor

Finite Volume Schemes for Conservation Laws of Mixed Type
T. Gallouet and J. P. Vila

On Simulation Methods for Vlasov-Poisson Systems with Particles Initially Asymptotically Distributed
Keshab Ganguly, J. Todd Lee, and H. D. Victory, Jr.

A Mixed Method for Approximating Maxwell's Equations
Peter B. Monk

A New Theory for One-Dimensional Adaptive Grid Generation and Its Applications
Prabir Daripa

Jacobi Iteration in Implicit Difference Schemes for the Wave Equation
D. B. Duncan and M. A. Lynch

Error Analysis of Some Galerkin Least Squares Methods for the Elasticity Equations
Leopoldo P. Franca and Rolf Stenberg

Numerical Methods for a Class of Singular Integro-Differential Equations Based on Semigroup Approximation
Kaxufumi Ito and Janos Turi

A Unified Approach to Spurious Solutions Introduced by Time Discretization. Part I: Basic Theory
A. Iserles, A. T. Peplow, and A. M. Stuart

On the Orthogonality of Eigenvectors Computed by Divide-And-Conquer Techniques
D. C. Sorenson and Ping Tak Peter Tang

s-Step Iterative Methods for (Non)symmetric (In)definite Linear Systems
A. T. Chronopoulos

Embedded Pseudo-Runge-Kutta Methods
Masaharu Nakashima

On Ignoring the Singularity
G. Myerson

FEBRUARY 1992 Volume 29, Number 1

Second-Order Boltzmann Schemes for Compressible Euler Equations in One and Two Space Dimensions
B. Perthame

A Numerical Method to Calculate the Two-Dimensional Flow Around an Underwater Obstacle
N. Anders Petersson

Direct Discretization of Planar Div-Curl Problems
R. A. Nicolaides

On Error Estimates of Projection Methods for Navier-Stokes Equations: First-Order Schemes
Jie Shen

Asymptotically Exact Error Estimators for Rectangular Finite Elements
Ricardo Duran, Maria Amelia Muschietti, and Rodolfo Rodriguez

On the Mass Matrix Spectrum Bounds of Wathen and the Local Moving Finite Elements of Baines
Keith Miller

A New Method of Stabilization for Singular Perturbation Problems with Spectral Methods
Henner Eisen and Wilhelm Heinrichs

Discrete Methods for Fully Nonlinear Elliptic Equations
Hung-Ju Kuo and Neil S. Trudinger

Coefficients of the Singularities for Elliptic Boundary Value Problems on Domains with Conical Points III: Finite Element Methods on Polygonal Domains
Maryse Bourlard, Monique Dauge, Mbaro-Saman Lubuma, and Serge Nicaise

Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations
Bernard Bialecki, Graeme Fairweather, and Karin R. Bennett

An Unconditionally Stable Three-Level Explicit Difference Scheme for the Schrodinger Equation with a Variable Coefficient
Weizhong Dai

Image Selective Smoothing and Edge Detection by Nonlinear Diffusion
Francine Catte, Pierre-Louis Lions, Jean-Michel Morel, and Tomeu Coll

Numerical Solution of an Interdiffusion Problem
Christophe Fresnel and Marie-Noelle Le Roux

Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
Y. Saad

Solving Eigenvalue Problems of Real Nonsymmetric Matrices with Real Homotopies
T. Y. Li, Zhonggang Zeng, and Luan Cong

A Note on Deferred Correction for Equality Constrained Least Squares Problems
Jesse L. Barlow and Udaya B. Vemulpati

Long and Thin Triangles Can Be Good For Linear Interpolation
Shmuel Rippa

A New Method for Approximating Improper Integrals
H. L. Gray and Suojin Wang

Trapezoidal Stratified Monte Carlo Integration
Stamatis Cambanis and Elias Masry

APRIL 1992 Volume 29, Number 2

A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems
Jinchao Xu

Analysis of the Finite Element Approximation of Microstructure in Micromagnetics
Mitchell Luskin and Ling Ma

Analysis of a One-Dimensional Model for the Immersed Boundary Method
R.P. Beyer and R.J. LeVeque

A Mixed Finite Element Method For Approximating Incompressible Materials
Manfred Dobrowolski

Treating Inhomogeneous Essential Boundary Conditions in Finite Element Methods and the Calculation of Boundary Stresses
Max D. Gunzburger and Steven L. Hou

An Optimal Runge-Kutta Method for Steady-State Solutions of Hyperbolic Systems
Chichia Chiu and David A. Kopriva

Second-Order Discrete Approximation to Linear Differential Inclusions
Vladimir Veliov

Finite Element Approximation for Grad-Div type Systems in the Plane
Ching Lung Chang

A Class of Numerical Algorithms for Large Time Integration: The Nonlinear Galerkin Methods
Christophe Devulder and Martine Marion

Existence, Uniqueness, and Numerical Analysis of Solutions of a Quasilinear Parabolic Problem
Dongming Wei

Computer Aided Analysis of Imperfect Bifurcation Diagrams, I. Simple Bifurcation Point and Isola Formation Centre
Vladimir Janovsky and Petr Plechac

On the Maximum Angle Condition for Linear Tetrahedral Elements
Michal Krizek

An Explicit Runge-Kutta-Nystrom Method is Canonical If and Only If Its Adjoint Is Explicit
Daniel Okunbor and Robert D. Skeel

Stability of Interpolation from C1 Cubics at the Vertices of an Underlying Triangulation
Jorg Peters and Meera Sitharam

Exploiting Symmetry in Boundary Element Methods
Eugene L. Allgower, Klaus Bohmer, Kurt Georg, and Rick Miranda

Corners, Cusps, and Parametrizations: Variations on a Theorem of Epstein
E.T.Y. Lee

Lattice Integration Rules of Maximal Rank Formed by Copying Rules of Korobov Type
Shaun Disney and Ian H. Sloan

Error Bounds for Gaussian and Related Quadrature and Applications to R-Convex Functions
Knut Petras

Optimal Nodes for Interpolatory Product Integration
William E. Smith and David Paget

On Grau's Method for Simultaneous Factorization of Polynomials
Carsten Carstensen

JUNE 1992 Volume 29, Number 3

Convergence of a Finite Difference Scheme for the Navier-Stokes Equations Using Vorticity Boundary Conditions
Thomas Y. Hou and Brian T.R. Wetton

Method of Lines for Hyperbolic Differential Equations
Heinz-Otto Kreiss and Godela Scherer

A Multigrid Algorithm for the Lowest Order Raviart-Thomas Mixed Triangular Finite Element Method
Susanne C. Brenner

A Spectral Collocation Technique for the Solution of the Wigner-Poisson Problem
Christian Ringhofer

Analytical Linear Numerical Stability Conditions for an Anisotropic Three- Dimensional Advection-Diffusion Equation
J.M. Beckers

Analysis of a Finite Element Method for Maxwell's Equations
Peter Monk

Local Error Estimates for a Finite Element Method for Hyperbolic and Convection- Diffusion Equations
Richard S. Falk and Gerard R. Richter

Orthogonal Spline Collocation Methods for Some Partial Integro-Differential Equations
Yi Yan and Graeme Fairweather

Finite Element Error Estimates for a Blast Furnace Gas Flow Problem
S.-S. Chow

Numerical Integration of the Differntial Riccati Equation and Some Related Issues
Luca Dieci

Approximation by Solutions of the Planar Wave Equation
M.V. Golitschek and W.A. Light

The Method of Resultants for Computing Real Solutions of Polynomial Systems
Eugene L. Allgower, Kurt Georg, and Rick Miranda

Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
Luis Alvarez, Pierre-Louis Lions, and Jean-Michel Morel

A Viscosity Solutions Approach to Shape-From-Shading
Elisabeth Ruoy and Agnes Tourin

Numerical Methods for Inverse Singular Value Problems
Moody T. Chu

AUGUST 1992 Volume 29, Number 4

On One-Sided Filters for Spectral Fourier Approximations of Discontinuous Functions
Wei Cai, David Gottlieb, and Chi-Wang Shu

Finite Element Preconditioning for Legendre Spectral Collocation Approximations to Elliptic Equations and Systems
Alfio Quarteroni and Elena Zampieri

On Superconvergence Up to Boundaries in Finite Element Methods: A Counterexample
Lars B. Wahlbin

Analysis of the Efficiency of an A Posteriori Error Estimator for Linear Triangular Finite Elements
Ivo Babuska, Ricardo Duran, and Rodolfo Rodriguez

Wavelet Methods for Fast Resolution of Elliptic Problems
Stephane Jaffard

Convergence Analysis Without Regularity Assumptions for Multigrid Algorithms Based on SOR Smoothing
Junping Wang

Numerical Approximations in Variational Problems with Potential Wells
Michel Chipot and Charles Collins

Particle Method and Its Convergence for Scalar Conservation Laws
Zhen-Huan Teng

Conforming Finite Element Approximations for a Fourth-Order Singular Perturbation Problem
Bill Semper

Numerical Analysis of a Bidimensional Hencky Problem Approximated by a Discontinuous Finite Element Method
Hachmi Bendhia

Numerical Computation of Coexistence States
Julian Lopez-Gomez, Marcela Molina-Meyer, and Monica Villarreal

Circulant Preconditioners Constructed from Kernels
Raymond H. Chan and Man-Chung Yeung

Nonlinear Homotopies for Solving Deficient Polynomial Systems with Parameters
T. Y. Li and Xiaoshen Wang

Imbedded Lattice Rules for Multidimensional Integration
Stephen Joe and Ian H. Sloan

Grid Point Interpolation on Finite Regions Using C1 Box Splines
Erlend Arge and Morten Daehlen

Polynomial Interpolation on Quasi-Equidistributed Nodes on the Unit Disk
Hiroshi Sugiura and Tatsuo Torii

A Global and Quadratically Convergent Method for Linear l-infinity Problems
Thomas F. Coleman and Yuying Li

Avoiding the Maratos Effect by Means of a Nonmonotone Line Search II. Inequality Constrained Problems---Feasible Iterates J. Frederic Bonnans, Eliane R. Panier, Andre L. Tits, and
Jian L. Zhou

OCTOBER 1992 Volume 29, Number 5

Finite Element Approximation of Viscous Flows with Varying Density
Christine Bernardi, Frederic Laval, Brigitte Metivet, and Bernadette Pernaud-Thomas

Numerical Wave Propagation in an Advection Equation with a Nonlinear Source Term
D. F. Griffiths, A. M. Stuart, and H. C. Yee

On Locking and Robustness in the Finite Element Method
I. Babuska and Manil Suri

Adaptive Dimensional Reduction Numerical Solution of Monotone Quasilinear Boundary Value Problems
Soren Jensen

A Calculus of Difference Schemes for the Solution of Boundary-Value Problems on Irregular Meshes
Thomas A. Manteuffel and Andrew B. White, Jr.

Numerical Quadratures for Layer Potentials Over Curved Domains in R3
Jean-Luc Guermond

Grid Independent Convergence of the Multigrid Method for First-Order Equations
Per Lotstedt

Asymptotic Mesh Independence of Newton-Galerkin Methods via a Refined Mysovskii Theorem
Peter Deuflhard and Florian A. Potra

Fixed-Point Quasi-Newton Methods
Jose Mario Martinez

Multivariate Divided Differences I: Basic Properties
M. Neamtu

An Optimal Order Regularization Method Which Does Not Use Additional Smoothness Assumptions
Markus Hegland

Perturbation Theory for the Rank-Deficient Equality Constrained Least Squares Problem
Musheng Wei

On the Stability of Transform-Based Circular Deconvolution
Elliot Linzer

Bounding the Solution of Interval Linear Equations
E. R. Hansen

DECEMBER 1992 Volume 29, Number 6

The Convergence Rate of Approximate Solutions for Nonlinear Scalar Conservation Laws
Haim Nessyahu and Eitan Tadmor

Convergence of Spectral Methods for Burgers' Equation
Weinan E

Optimum Positive Linear Schemes for Advection in Two and Three Dimensions
P.L. Roe and D. Sidilkover

On Maximum Norm Convergence of Multigrid Methods for Two-Point Boundary Value Problems
Arnold Reusken

Analysis and Convergence of the MAC Scheme I. The Linear Problem
R.A. Nicolaides

Viscous Shock Profiles and Primitive Formulations
S. Karni

Hierarchical Conforming Finite Element Methods for the Biharmonic Equation
P. Oswald

The Pseudospectral Method for Third-Order Differential Equations
Weizhang Huang and David M. Sloan

Noniterative Approximations to the Solution of the Matrix Riccati Differential Equation
M.C. Delfour and A. Ouansafi

Differential/Algebraic Equations as Stiff Ordinary Differential Equations
Michael Knorrenschild

On the Representation of Operators in Bases of Compactly Supported Wavelets
G. Beylkin

Numerical Solution of a Functional Equation on a Circle
Anne C. Morlet and Jens Lorenz

Fast Algorithms for Nonsmooth Compact Fixed-Point Problems
M. Heinkenschloss, C.T. Kelley, and H.T. Tran

Reduced SQP Methods for Parameter Identification Problems
K. Kunisch and E.W. Sachs

FEBRUARY 1993 Volume 30, Number 1

Analysis of Some Moving Space-Time Finite Element Methods
Randolph E. Bank and Rafael F. Santos

Splitting Techniques for the Pseudospectral Approximation of the Unsteady Stokes Equations
Wilhelm Heinrichs

Changing the Norm in Conjugate Gradient Type Algorithms
Martin H. Gutknecht

Accurate Monotone Cubic Interpolation
Hung T. Huynh

A Multigrid Method for Shape-from-Shading
Uri M. Ascher and Paul M. Carter

A Nonconforming Mixed Multigrid Method for the Pure Displacement Problem in Plan Linear Elasticity
Susanne C. Brenner

A Unified Convergence Theory for Abstract Multigrid or Multilevel Algorithms, Serial and Parallel
Craig C. Douglas and Jim Douglas, Jr.

Multigrid Methods for Elliptic Problems in Unbounded Domains
Charles I. Goldstein

Multigrid Preconditioning for the Biharmonic Dirichlet Problem
M. R. Hanisch

The Improved Robustness of Multigrid Elliptic Solvers Based on Multiple Semicoarsened Grids
Naomi H. Naik and John Van Rosendale

Fully Adaptive Multigrid Methods
Ulrich Rude

Multigrid Solution to Steady-State Two-Dimensional Conservation Laws
David Sidikover and Achi Brandt

Convergence Analysis of Multigrid Algorithms for Nonselfadjoint and Indefinite Elliptic Problems
Junping Wang

On Dynamic Iteration Methods for Solving Time-Periodic Differential Equations
Stefan Vandewalle and Robert Piessens

APRIL 1993 Volume 30, Number 2

On the Sensitivity of Solutions of Parameterized Equations
Werner C. Rheinboldt

Legendre Pseudospectral Viscosity Method for Nonlinear Conservation Laws
Yvon Maday, Sidi M. Ould Kaber, and Eitan Tadmor

Preconditioning and Boundary Conditions Without H2 Estimates: L2 Condition Numbers and the Distribution of the Singular Values
C. I. Goldstein,, Thomas A. Manteuffel, and Seymour V. Parter

On Optimal Order Error Estimates for the Nonlinear Schrodinger Equation Ohannes Karahashian, Georgios D. Akrivis, and Vassilios
A. Dougalis

An Error Estimate for a Finite Difference Scheme Approximating a Hyperbolic System of Conservation Laws
Aslak Tveito and Ragnar Winther

A Fast Domain Decomposition Poisson Solve on a Rectangle for Hermite Bicubic Orthogonal Spline Collocation
Bernard Bialecki

Domain Decomposition for Fourth-Order Problems
Wilhelm Heinrichs

Mathematical and Numerical Study of a Magnetostatic Problem Around a Thin Shield
Francois Rogier

A Lagrange Multiplier Method for the Interface Equations from Electromagnetic Applications
Ping Lee

Using the Refinement Equation for Evaluating Integrals of Wavelets
Wolfgang Dahmen and Charles A. Micchelli

Half-Explicit Runge-Kutta Methods for Differential-Algebraic Systems of Index 2
V. Brasey and E. Hairer

Constrained Equations of Motion in Multibody Dynamics as ODEs on Manifolds
Jeng Yen

Intermediate Rank Lattices Rules for Multidimensional Integration
S. Joe and S. A. R. Disney

The BGQ-Algorithm for Constructing Start Systems of Homotopies for Polynomial Systems
Jan Verschelde and Ann Haegemans

Accurate C2 Rational Interpolants in Tension
Roger Delbourgo

JUNE 1993 Volume 30, Number 3

Second-Order Convergence of a Projection Scheme for the Incompressible Navier-Stokes Equations with Boundaries
Thomas Y. Hou and Brian T. R. Wetton

Fast Iterative Solution of Stabilised Stokes Systems Part I: Using Simple Diagonal Preconditioners
Andrew Wathen and David Silvester

Convergence of Fourier Methods for the Navier-Stokes Equations
Weinan E

Convergence of Finite Difference Schemes for Conservation Laws in Several Space Dimensions: A General Theory
Frederic Coquel and Philippe Le Floch

A Maximum Principle Satisfying Modification of Triangle Based Adaptive Stencils for the Solution of Scalar Hyperbolic Conservation Laws
Xu-Dong Liu

A Collocation Method for the Numerical Solution of Laplace's Equation with Nonlinear Boundary Conditions on a Polygon
Robert L. Doucette

A New Time Discretization for the Radiative Transfer Equations: Analysis and Comparison with the Classical Discretization
T. Nkaoua and R. Sentis

On the Uniform Convergence of the Scharfetter-Gummel Discretization in One Dimension
Eugene C. Gartland, Jr.

A Regularization Method for the Numerical Inversion of the Laplace Transform
Chen Wei Dong

Implementation of Linear Multistep Methods for Solving Constrained Equations of Motion
Florian A. Potra

Optimal Equivalent Preconditioners
Thomas Manteuffel and James Otto

Parallel Factorizations for Tridiagonal Matrices
P. Amodio, L. Brugnano, and T. Politi

Preconditioned Iterative Methods for Solving Toeplitz-plus-Hankel Systems
Ta-Kang Ku and C.-C. Jay Kuo

Galerkin-Petrov Methods for Bergman Space Toeplitz Operators
Albrecht Bottcher and Hartmut Wolf

Inverse Interval Matrix
J. Rohn

Discrete Variable Methods for the m-Dependent Variable Nonlinear, Extremal Problem in the Calculus of Variations, II
John Gregory and Cantian Lin

Numerical Evaluation of Line Integrals
K. Atkinson and E. Venturino

The Generic Dimension of the Space of C1 Splines of Degree d >= 8 on Tetrahedral Decompositions
Peter Alfeld, Larry L. Schumaker, and Walter Whiteley

AUGUST 1993 Volume 30, Number 4

A Posteriori Error Estimates Based on Hierarchical Bases
Randolph E. Bank and R. Kent Smith

Multiplicative Schwarz Algorithms for Some Nonsymmetric and Indefinite Problems
Xiao-Chuan Cai and Olof B. Widlund

Convergence Analysis of the Schwarz Algorithm and Multilevel Decomposition Iterative Methods II: Nonselfadjoint and Indefinite Elliptic Problems
Junping Wang

A New Mixed Finite Element for the Stokes and the Elasticity Problem
M. Farhloul and M. Fortin

A Fully Discrete Adaptive Nonlinear Chernoff Formula
R. H. Nochetto, M. Paolini, and C. Verdi

Bending-Dominated Deformation of Thin Spherical Shells: Analysis and Finite-Element Approximation
Andreas Kirmse

The Computation of Water Waves Modelled by Nekrasov's Equation
G.A. Chandler and I.G. Graham

Combined Finite Element and Pseudospectral Method for the Two-Dimensional Evolutionary Navier-Stokes Equations
Guo Ben-yu and Ma He-ping

Rosenbrock Methods for Partial Differential Equations and Fractional Orders of Convergence
A. Ostermann and M. Roche

Stabilization of Unstable Procedures: The Recursive Projection Method
Gautam M. Shroff and Herbert B. Keller

Computation of Takens-Bogdanov Type Bifurcations with Arbitrary Codimension
W. Govaerts

On the Computation of Multiple Bifurcations with Multiple Parameters and Symmetry
Bin Hong

Numerical Computation of Saddle-Node Homoclinic Bifurcation Points
Stephen Schecter

Stability of Parallel Explicit ODE Methods
Hon-Wah Tam and Robert D. Skeel

Circulant Preconditioners for Complex Toeplitz Matrices
Raymond H. Chan and Man-Chung Yeung

An \epsilon-Free A Posteriori Stopping Rule for Certain Iterative Regularization Methods
Martin Hanke

OCTOBER 1993 Volume 30, Number 5

On Entropy Consistency of Large Time Step Schemes I. The Godunov and Glimm Schemes
Jinghua Wang and Gerald Warnecke

On Entropy Consistency of Large Time Step Schemes II. Approximate Riemann Solvers
Jinghua Wang and Gerald Warnecke

Ordering Effects on Relaxation Methods Applied to the Discrete One-Dimensional Convection-Diffusion Equation
Howard C. Elman and Michael P. Chernesky

Sizing and Least-Change Secant Methods
J. E. Dennis, Jr. and H. Wolkowicz

Godunov-Mixed Methods for Advection-Diffusion Equations in Multidimensions
Clint Dawson

A Dissipative Pseudospectral Method for the Two-Dimensional Navier-Stokes Equations
Kazufumi Ito and Sungkwon Kang

New Error Bounds for the Quadrature Method for the Solution of Cauchy Singular Integral Equations
Dietmar Berthold and Peter Junghanns

A Stability Result for Sectorial Operators in Banach Spaces
C. Palencia

Second-Order Accurate Difference Methods for a One-Sex Model of Population Dynamics
Yonghoon Kwon and Chung-Ki Cho

Continuous and Numerical Analysis of a Multiple Boundary Turning Point Problem
Relja Vulanovic and Paul A. Farrell

The Relative Efficiency of Alternative Defect Control Schemes for High-Order Continuous Runge--Kutta Formulas
W. H. Enright

Differentiable Interpolants for High-Order Runge--Kutta Methods
J. H. Verner

Convergence Results for a Coordinate Projection Method Applied to Mechanical Systems with Algebraic Constraints
Edda Eich

On the Identification Property of a Projected Gradient Method
P. L. De Angelis and G. Toraldo

The Split Levinson Algorithm is Weakly Stable
Hari Krishna and Yunbiao Wang

Convergence Rates for Maximum Entropy Regularization
Heinz W. Engl and Gerhard Landl

DECEMBER 1993 Volume 30, Number 6

Domain Decomposition Type Iterative Techniques for Parabolic Problems on Locally Refined Grids Richard E. Ewing, Raytcho D. Lazarov, Joseph E. Pasciak,
and Panayot S. Vassilevsky

A Quasi-Monte Carlo Approach to Particle Simulation of the Heat Equation
William J. Morokoff and Russel E. Caflisch

Estimation of Variable Coefficients in the Fokker-Planck Equations Using Moving Node Finite Elements
H.T. Banks, H.T. Tran, and D.E. Woodward

On the Question of Turbulence Modeling by Approximate Inertial Manifolds and the Nonlinear Galerkin Method
John G. Heywood and Rolf Rannacher

The Global Dynamics of Discrete Semilinear Parabolic Equations
C.M. Elliott and A.M. Stuart

A New Scheme for the Approximation of Advection-Diffusion Equations by Collocation
Daniele Funaro

Numerical Methods for the Simulation of Flow in Root-Soil Systems
Todd Arbogast, Mandri Obeyesekere, and Mary F. Wheeler

Solution of Nonlinear Diffusion Problems by Linear Approximation Schemes
J. Kacur, A. Handlovicova, and M. Kacurova

Application of Global Methods in Parallel Shooting
M.E. Kramer and R.M.M. Mattheij

FFT-Based Preconditioners for Teoplitz-Block Least Squares Problems
Raymond H. Chan, James G. Nagy, and Robert J. Plemmons

Quadrature Methods for Strongly Elliptic Equations of Negative Order on Smooth Closed Curves
J. Saranen and L. Schroderus

Optimal A-Poseriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-posed Problems
O. Scherzer, H.W. Engl, and K. Kunisch

FEBRUARY 1994 Volume 31, Number 1

The Convergence Rate of Godunov Type Schemes
Haim Nessyahu, Eitan Tadmor, and Tamir Tassa

On Godunov-Type Schemes for Lagrangian Gas Dynamics
C.D. Munz

On the Accuracy of Fractional Step Methods for Conservation Laws in Two Dimensions
Zhen-Huan Teng

Radiation Boundary Conditions for Dispersive Waves
Robert L. Higdon

On Certain Hybrid Iterative Methods for Solving Boundary Value Problems
Vladimir Kozlov, Vladimir Maz'ya, Leonid Rozin

Numerical Analysis of a Nonconvex Variational Problem Related to Solid-Solid Phase Transitions
Pierre-Alain Gremaud

Approximated Convex Envelope of a Function
Bernard Brighi and Michel Chipot

A Posteriori Error Estimation with Finite Element Semi- and Fully Discrete Methods for Nonlinear Parabolic Equations in One Space Dimension
Peter K. Moore

Semidiscretization in Time of Nonlinear Parabolic Equations with Blowup of the Solution
Marie-Noelle Le Roux

A Tetrahedral Mixed Finite Element Method for the Stationary Semiconductor Continuity Equations
J.J.H. Miller and S. Wang

SOR-Secant Methods
Jose Mario Martinez

Krylov Subspace Methods for Solving Large Lyapunov Equations
Imad M. Jaimoukha and Ebrahim M. Kasenally

Efficient Numerical Validation of Solutions of Nonlinear Systems
G. Alefeld, A. Gienger, and F. Potra

Unitary Integrators and Applications to Continuous Orthonormalization Techniques
Luca Dieci, Robert D. Russell, and Erik S. Van Vleck

A Multiscale Algorithm for Image Segmentation by Variational Method
G. Koepfler, C. Lopez, and J.M. Morel

APRIL 1994 Volume 31, Number 2

Adaptive Multilevel Methods for Obstacle Problems
R. H. W. Hoppe and R. Kornhuber

Convergence of Upwind Finite Volume Schemes for Scalar Conservation Laws in Two Dimensions
Dietmar Kroner and Mirko Rokyta

Fully Discrete Convergence Estimates for Vortex Methods in Bounded Domains
Ying Lung-An and Zhang Ping-Wen

Finite Element Approximation of Viscoelastic Fluid Flow: Existence of Approximate Solutions and Error Bounds. Continuous Approximation of the Stress
Dominique Sandri

On Maximum Norm Convergence of Multigrid Methods for Elliptic Boundary Value Problems
Arnold Reusken

A Convergence Analysis of Yee's Scheme on Nonuniform Grids
Peter Monk and Endre Suli

Finite Element Approximation of the Parabolic p-Laplacian
John W. Barrett and W. B. Liu

Fast Preconditioned Conjugate Gradient Algorithms for Wiener-Hopf Integral Equations
I. Gohberg, M. Hanke, and I. Koltracht

Spline Collocation Methods for a Class of Hyperbolic Partial Integro-Differential Equations
Graeme Fairweather

An Indirect Boundary Integral Equation Method for the Biharmonic Equation
Youngmok Jeon

A Fast Numerical Solution for a Second Kind Boundary Integral Equation with a Logarithmic Kernel
Yi Yan

Contractivity of Waveform Relaxation Runge-Kutta Iterations and Related Limit Methods for Dissipative Systems in the Maximum Norm
A. Bellen, Z. Jackiewicz, and M. Zennaro

Matrices with Rank Deficiency Two in Eigenvalue Problems and Dynamical Systems
K.-W.E. Chu, W. Govaerts, and A. Spence

Complete Algebraic Characterization of A-Stable Runge- Kutta Methods
R. Scherer and W. Wendler

L-Stable Parallel One-Block Methods for Ordinary Differential Equations
P. Chartier

Shooting Methods for One-Dimensional Diffusion-Absorption Problems
V. Martinez, A. Marquina, and R. Donat

Signal and Image Restoration Using Shock Filters and Anisotropic Diffusion
Luis Alvarez and Luis Mazorra

JUNE 1994 Volume 31, Number 3

Nonlinearly Stable Compact Schemes for Shock Calculations
Bernardo Cockburn and Chi-Wang Shu

Convergence Rate of Approximate Solutions to Conservation Laws with Initial Rarefactions
Haim Nessyahu and Tamir Tassa

Studies on Error Propagation for Certain Nonlinear Approximations to Hyperbolic Equations: Discontinuities in Derivatives
Rosa Donat

Optimal Order Multigrid Methods for Solving Exterior Boundary Value Problems
George C. Hsiao and Shangyou Zhang

Mesh Refinement and Windowing Near Edges for Some Elliptic Problem
Th. Apel and B. Heinrich

Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
Weizhang Huang, Yuhe Ren, and Robert D. Russell

A Mixed Method for the Mixed Initial Boundary Value Problems of Equations of Semiconductor Devices
Jiang Zhu, Hongwei Wu, and Yuanming Wang

Analysis of a Fully Discrete Finite Element Method for a Nonlinear Magnetic Field Problem
Bodo Heise

Positive Ordered Solutions of a Discrete Analogue of a Nonlinear Elliptic Eigenvalue Problem
Pedro C. Espinoza

Computation of Shift Operators in Orthonormal Compactly Supported Wavelet Bases
Vicente F. Candela

The Accuracy of Numerical Conformal Mapping Methods: A Survey of Examples and Results
Thomas K. DeLillo

Parallel Numerical Solution of Variational Inequalities
M. Benassi and R. E. White

On Adaptive Finite Element Methods for Fredholm Integral Equations of the Second Kind
Mohammad Asadzadeh and Kenneth Eriksson

Numerical Stability and Convergence of Approximations of Retarded Potential Integral Equations
Penny J. Davies

Order Results for Mono-Implicit Runge-Kutta Methods
K. Burrage, F. H. Chipman, and P. H. Muir

An Interval Step Control for Continuation Methods
R. Baker Kearfott and Zhaoyun Xing

Homotopies Exploiting Newton Polytopes for Solving Sparse Polynomial Systems
Jan Verschelde, Pierre Verlinden, and Ronald Cools

Computation of the Gamma, Digamma, and Trigamma Functions
John L. Spouge

AUGUST 1994 Volume 31, Number 4

Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
Ivo Babuska, Gabriel Caloz, and John E. Osborn

Characteristic-Galerkin Methods for Contaminant Transport with Non Equilibrium Adsorption Kinetics
C. N. Dawson, C. J. van Duijn, and M. F. Wheeler

The Behavior of Finite Element Solutions of Semilinear Parabolic Problems Near Stationary Points
S. Larsson and J.-M. Sanz-Serna

The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
Randall J. Leveque and Zhilin Li

Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
Clint N. Dawson and Todd F. Dupont

Error Estimates for a Finite Element Method for the Drift-Diffusion Semiconductor Device Equations
Zhangxin Chen and Bernardo Cockburn

An Efficient Implementation of Particle Methods for the Incompressible Euler Equations
C. I. Draghicescu

Numerical Approximation of a Free Boundary Problem Arising in Electromagnetic Shaping
O. Coulaud and A. Henrot

H^1-Norm Error Bounds for Piecewise Hermite Bicubic Orthogonal Spline Collocation Schemes for Elliptic Boundary Value Problems
Bernard Bialecki and Xiao-Chuan Cai

Stability of Runge-Kutta Methods for Stiff Ordinary Differential Equations
Roger K. Alexander

Completely Imbedded Runge-Kutta Pairs
P. W. Sharp and J. H. Verner

Fast Multiresolution Algorithms for Matrix-Vector Multiplication
Ami Harten and Itai Yad-Shalom

Generalized Epsilon-Pseudospectra
Kurt S. Riedel

Preconditioned Gradient-Type Iterative Methods in a Subspace for Partial Generalized Symmetric Eigenvalue Problems
Andrew V. Knyazev and Alexander L. Skorokhodov

Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions
Wim Sweldens and Robert Piessens

OCTOBER 1994 Volume 31, Number 5

Numerical Treatment of Vertex Singularities and Intensity Factors for Mixed Boundary Value Problems for the Laplace Equation in R3
I. Babuska, T. von Petersdorff, and B. Andersson

A Convergent Finite-Difference Scheme for the Navier--Stokes Equations of One-Dimensional, Nonisentropic, Compressible Flow
Jing Zhao and David Hoff

Stability of the Fractional Step O-Scheme for the Nonstationary Navier--Stokes Equations
Petr Kloucek and Franz S. Rys

Stable Numerical Boundary Conditions for Stokes Equations
Kalman Z. Meth

Fast Iterative Solution of Stabilised Stokes Systems Part II: Using General Block Preconditioners
David Silvester and Andrew Wathen

Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
A. I. Pehlivanov, G. F. Carey, and R. D. Lazarov

A Pseudospectral Three-Dimensional Boundary Integral Method Applied to a Nonlinear Model Problem from Finite Elasticity
M. Ganesh, I. G. Graham, and J. Sivaloganathan

Numerical Treatment of Subspace-Breaking Takens--Bogdanov Points with Nonlinear Degeneracies
Dasa Janovska

A Class of Variable-Step Explicit Nordsieck Multivalue Methods
K. Burrage and P. W. Sharp

Runge--Kutta Methods for Dissipative and Gradient Dynamical Systems
A. R. Humphries and A. M. Stuart

A Sensitivity Analysis for Least-Squares Ill-Posed Problems Using the Haar Basis
Jun Liu

Computation of the Complex Error Function
J. A. C. Weideman

DECEMBER 1994 Volume 31, Number 6

The Chebyshev-Legendre Method: Implementing Legendre Methods on Chebyshev Points
Wai Sun Don and David Gottlieb

Overcoming Holder Continuity in Ill-Posed Continuation Problems
Alfred S. Carasso

Invariant Manifolds and Singularly Perturbed Boundary Value Problems
S.-K. Tin, N. Kopell, and C. K. R. T. Jones

On the Convergence to Steady State of Solutions of Nonlinear Hyperbolic-Parabolic Systems
Gunilla Kreiss, Heinz-Otto Kreiss, and N. Anders Petersson

Finite Difference Scheme for Parabolic Problems on Composite Grids with Refinement in Time and Space
Richard E. Ewing, Raytcho D. Lazarov, and Apostol T. Vassilev

Preconditioning Nonconforming Finite Element Methods
Charles I. Goldstein

Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
Howard C. Elman and Gene H. Golub

Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
Maksymilian Dryja, Barry F. Smith, and Olof B. Widlund

Rigorous Quantitative Analysis of Multigrid, I: Constant Coefficients Two-Level Cycle with L2-Norm
Achi Brandt

Multilevel Adaptive Methods for Elliptic Eigenproblems: A Two-Level Convergence Theory
Stephen F. McCormick

Uniform Convergence of Multigrid V-Cycle Iterations for Indefinite and Nonsymmetric Problems
James H. Bramble, Do Y. Kwak, and Joseph E. Pasciak

Multigrid Solution of the Incompressible Navier-Stokes Equations in General Coordinates
S. Zeng and P. Wesseling

First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
Z. Cai, R. Lazarov, T. A. Manteuffel, and S. F. McCormick

FEBRUARY 1995, Volume 32, Number 1

A Posteriori Error Bounds and Global Error Control for Approximation of Ordinary Differential Equations
Donald Estep

The Potential for Parallelism in Runge-Kutta Methods. Part 1: RK Formulas in Standard Form
K. R. Jackson and S. P. Norsett

Accurate Discretization for Singular Perturbations: The One- Dimensional Case
X. C. Hu, T. A. Manteuffel, S. McCormick, and T. F. Russell

Error Bounds for Fractional Step Methods for Conservation Laws with Source Terms
Tao Tang and Zhen-Huan Teng

A Linear Algebraic Analysis of Diffusion Synthetic Acceleration for the Boltzmann Transport Equation
S. F. Ashby, P. N. Brown, M. R. Dorr, and A. C. Hindmarsh

A Linear Algebraic Development of Diffusion Synthetic Acceleration for Three-Dimensional Transport Equations
Peter N. Brown

Nonlinear Galerkin Method Using Chebyshev and Legendre Polynomials I. The One-Dimensional Case
Jie Shen and Roger Temam

An Application of the Abstract Multilevel Theory to Nonconforming Finite Element Methods
Panayot S. Vassilevski and Junping Wang

On the Third and Fourth Zolotarev Problems in the Complex Plane
M.-P. Istace and J.-P. Thiran

W-Methods with Automatic Partitioning by Krylov Techniques for Large Stiff Systems
Mario Buttner, Bernhard A. Schmitt, and Rudiger Weiner

A-Contractivity of Linearly Implicit Multistep Methods
Richard J. Charron and Min Hu

Numerical Stability and Efficiency of Penalty Algorithms
Jean-Pierre Dussault

On the Numerical Solution of the Euler-Lagrange Equations
Patrick J. Rabier and Werner C. Rheinboldt

APRIL 1995, Volume 32, Number 2

Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems
Seymour V. Parter and Ernest E. Rothman

On Error Estimates of the Penalty Method for Unsteady Navier-Stokes Equations
Jie Shen

A Characteristics-Mixed Finite Element Method for Advection- Dominated Transport Problems
Todd Arbogast and Mary F. Wheeler

A Galerkin-Characteristic Algorithm for Transport-Diffusion Equations
Rodolfo Bermejo

Finite Element Analysis of the One-Dimensional Full Drift- Diffusion Semiconductor Model
Zhangxin Chen

A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
Guy Barles and Christine Georgelin

A Fast Multilevel Algorithm for Integral Equations
C. T. Kelley

A Multilevel Technique for the Approximate Solution of Operator Lyapunov and Algebraic Riccati Equations
I. G. Rosen and Chunming Wang

Convergence of Vortex Methods for Three-Dimensional Euler Equations in Bounded Domains
Ying Lung-An

On the Fundamental Solutions for the Difference Helmholtz Operator
Adam Zemla

Stepwise Stability for the Heat Equation with a Nonlocal Constraint
Baruch Cahlon, Devadatta M. Kulkarni, and Peter Shi

Approximate Solution of Second Kind Integral Equations on Infinite Cylindrical Surfaces
Andrew T. Peplow and Simon N. Chandler-Wilde

On Optimal Solution of Interval Linear Equations
Sergey P. Shary

A Practical Geometrically Convergent Cutting Plane Algorithm
M. A. H. Dempster and R. R. Merkovsky

C^1-Surface Splines
Jorg Peters

Cubature for the Sphere and the Discrete Spherical Harmonic Transform
Mark Taylor

Order-Preserving Mesh Spacing for Compound Quadrature Formulas and Functions with Endpoint Singularities
P. Kohler

JUNE 1995, Volume 32, Number 3

Convergence of the Finite Volume Method for Multidimensional Conservation Laws
B. Cockburn, F. Coquel, and P. G. Lefloch

Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in L L2 and L L
Kenneth Eriksson and Claes Johnson

A Numerical Study of a Rotationally Degenerate Hyperbolic System. Part II. The Cauchy Problem
Heinrich Freistuhler and E. Bruce Pitman

Convergence of the Variable-Elliptic-Vortex Method for Euler Equations
Zhen-Huan Teng, Lung-An Ying, and Pingwen Zhang

Numerical Viscosity and Convergence of Finite Volume Methods for Conservation Laws with Boundary Conditions
S. Benharbit, A. Chalabi, and J. P. Vila

Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
Uri M. Ascher, Steven J. Ruuth, and Brian T. R. Wetton

A Comparison of Convergence Rates for Godunov's Method and Glimm's Method in Resonant Nonlinear Systems of Conservation Laws
L. Lin, J. B. Temple, and J. Wang

Suppression of Oscillations in Godunov's Method for a Resonant Non- Strictly Hyperbolic System
Lin Longwei, Blake Temple, and Wang Jinghua

Mixed Finite Element Methods for Nonlinear Second-Order Elliptic Problems
Eun-Jae Park

Convergence of a Crystalline Algorithm for the Motion of a Simple Closed Convex Curve by Weighted Curvature
Pedro Martins Girao

On Algorithms for Nonconvex Optimization in the Calculus of Variations
Ling Ma and Noel J. Walkington

Nystrom's Method and Iterative Solvers for the Solution of the Double-Layer Potential Equation Over Polyhedral Boundaries
A. Rathsfeld

Numerical Calculation of Center Manifolds for a Class of Infinite- Dimensional Systems with Applications
Ma Fuming

Two-Dimensional Quadrature for Functions with a Point Singularity on a Triangular Region
Yajun Yang and Kendall E. Atkinson

AUGUST 1995, Volume 32, Number 4

A Fast Solver for Navier-Stokes Equations in the Laminar Regime Using Mortar Finite Element and Boundary Element Methods
Y. Achdou and O. Pironneau

Projection Method I: Convergence and Numerical Boundary Layers
Weinan E and Jian-Guo Liu

Numerics and Hydrodynamic Stability: Toward Error Control in Computational Fluid Dynamics
Claes Johnson, Rolf Rannacher, and Mats Boman

Convergence of Particle Methods with Random Rezoning for the Two- Dimensional Euler and Navier-Stokes Equations
Y. Brenier and G.-H. Cottet

Particle Approximation of a Linear Convection-Diffusion Problem with Neumann Boundary Conditions
S. Mas-Gallic

Multigrid Smoothing Factors for Red-Black Gauss-Seidel Relaxation Applied to a Class of Elliptic Operators
Irad Yavneh

Numerical Solutions of One-Pressure Models in Multifluid Flows
Fabienne Berger and Jean-Francois Colombeau

Finite Element Approximation of Time Harmonic Waves in Periodic Structures
Gang Bao

Error Estimates on a New Nonlinear Galerkin Method Based on Two- Grid Finite Elements
Martine Marion and Jinchao Xu

Convergence of a Second-Order Scheme for the Nonlinear Dynamical Equations of Elastic Rods
Richard S. Falk and Jian-Ming Xu

Optimal Selection of the Bubble Function in the Stabilization of the P1-P1 Element for the Stokes Problem
Roger Pierre

Thermal Simulation of Pipeline Flow
Philip T. Keenan

Spectral Approximation of a Boundary Condition for an Eigenvalue Problem
Anne-Sophie Bonnet-Bendhia and Nabil Gmati

Finite Element Vibration Analysis of Fluid-Solid Systems Without Spurious Modes
A. Bermudez, R. Duran, M. A. Muschietti, R. Rodriguez, and J. Solomin

Runge-Kutta Solutions of Stiff Differential Equations Near Stationary Points
Ch. Lubich, K. Nipp, and D. Stoffer

A Product-Decomposition Bound for Bezout Numbers
Alexander P. Morgan, Andrew J. Sommese, and Charles W. Wampler

OCTOBER 1995, Volume 32, Number 5

Convergence of Convective-Diffusive Lattice Boltzmann Methods
Bracy H. Elton, C. David Levermore, and Garry H. Rodrigue

Artificial Boundary Conditions for the Numerical Solution of External Viscous Flow Problems
V. S. Ryaben'kii and S. V. Tsynkov

A General Class of Two-Step Runge-Kutta Methods for Ordinary Differential Equations
Z. Jackiewicz and S. Tracogna

Discrete Modulus of Smoothness of Splines with Equally Spaced Knots
Yingkang Hu and Xiang Ming Yu

Computation of Invariant Tori by the Method of Characteristics
Luca Dieci and Jens Lorenz

Convergence of the Sinc Method for a Fourth-Order Ordinary Differential Equation with an Application
Anne C. Morlet

A Two-Dimensional Numerical Implementation of Magnetohydrodynamics in Divergence Form
Maurice H. P. M. van Putten

Extrapolation Methods for the Weak Approximation of Ito Diffusions
P. E. Kloeden, E. Platen, and N. Hofmann

Some Discrete Methods for Boundary Integral Equations on Smooth Closed Curves
J. Saranen and L. Schroderus

Accurate Upwind Methods for the Euler Equations
H. T. Huynh

An Inverse Extreme Eigenpair Problem and Its Parallel Iterative Solution for Symmetric Tridiagonal Matrices
Zhenyue Zhang

The Numerical Solution of Delay-Differential-Algebraic Equations of Retarded and Neutral Type
Uri M. Ascher and Linda R. Petzold

An Asymptotic Numerical Method for a Class of Singular Sturm-Liouville Problems
Steven Pruess, Charles T. Fulton, and Yuantao Xie

A Shock Tracking Technique Based on Conservation in One Space Dimension
Mao De-Kang

Erratum: The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
Randall J. Leveque and Zhilin Li

DECEMBER 1995, Volume 32, Number 6

Stability and Convergence of a Class of Enhanced Strain Methods
B. D. Reddy and J. C. Simo

Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
Kenneth Eriksson and Claes Johnson

Adaptive Finite Element Methods for Parabolic Problems V: Long-Time Integration
Kenneth Eriksson and Claes Johnson

A Spectral Method for the Fluid Flow with Low Mach Number on the Spherical Surface
Guo Benyu and Cao Weiming

On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity
Weimin Han and B. Daya Reddy

A Domain Decomposition Method for the Polar Factorization of Vector-Valued Mappings
J.-D. Benamou

Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein-Gordon Equation
Shaofan Li and Loc Vu-Quoc

Operator Splitting Methods Applied to Spectral Discretizations of Quantum Transport Equations
Anton Arnold and Christian Ringhofer

A Morphological Scheme for Mean Curvature Motion and Applications to Anisotropic Diffusion and Motion of Level Sets
Francine Catte, Francoise Dibos, and Georges Koepfler

Approximation Methods for Singular Integral Equations with Conjugation on Curves with Corners
V. D. Didenko, S. Roch, and B. Silbermann

The Essential Stability of Local Error Control for Dynamical Systems
A. M. Stuart and A. R. Humphries

Relative Perturbation Techniques for Singular Value Problems
Stanley C. Eisenstat and Ilse C. F. Ipsen

A New Recurrence for Computing Runge-Kutta Truncation Error Coefficients
M. E. Hosea

FEBRUARY 1996, Volume 33, Number 1

A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
J. M. Greenberg and A. Y. Leroux

A Multilevel Mesh Independence Principle for the Navier-Stokes Equations
W. Layton and H. W. J. Lenferink

Finite Volume Methods for Convection-Diffusion Problems
R. D. Lazarov, Ilya D. Mishev, and P. S. Vassilevski

Optimal Rates of Convergence for Degenerate Parabolic Problems in Two Dimensions
Jim Rulla and Noel J. Walkington

Error Analysis for Implicit Approximations to Solutions to Cauchy Problems
Jim Rulla

Finite Element Approximation of Some Degenerate Monotone Quasilinear Elliptic Systems
W. B. Liu and John W. Barrett

Analysis of a Streamline Diffusion Finite Element Method for the Stokes and Navier-Stokes Equations
Lutz Tobiska and Rudiger Verfurth

Complexity of Bezout's Theorem IV: Probability of Success; Extensions
Michael Shub and Steve Smale

Convergence Estimates for the Wavelet Galerkin Method
Sonia M. Gomes and Elsa Cortina

Optimal Filtering for the Backward Heat Equation
Thomas I. Seidman

Coupling of FEM and BEM for Interface Problems in Viscoplasticity and Plasticity with Hardening
Carsten Carstensen

Stieltjes Derivatives and B-Polynomial Spline Collocation for Volterra Integrodifferential Equations with Singularities
Qiya Hu

A Posteriori Error Estimation for Hierarchic Models of Elliptic Boundary Value Problems on Thin Domains
I. Babuska and C. Schwab

A Priori Estimates and Convergence for the Discrete Forward and Inverse Problems of Reflection Seismology
Wing Kwong Yeung and Kenneth P. Bube

On the Gibbs Phenomenon III: Recovering Exponential Accuracy in a Sub-Interval From a Spectral Partial Sum of a Piecewise Analytic Function
David Gottlieb and Chi-Wang Shu

The Numerical Analysis of Random Particle Methods Applied to Vlasov-Poisson-Fokker-Planck Kinetic Equations
Karl J. Havlak and Harold Dean Victory, Jr.

An Optimal-Order Estimate for Eulerian-Lagrangian Localized Adjoint Methods for Variable-Coefficient Advection-Reaction Problems
Richard E. Ewing and Hong Wang

Nth-Order Operator Splitting Schemes and Nonreversible Systems
Daniel Goldman and Tasso J. Kaper

Symplectic Partitioned Runge-Kutta Methods for Constrained Hamiltonian Systems
Laurent Jay

The Degree of Copositive Approximation and a Computer Algorithm
Yingkang Hu and Xiang Ming Yu

Multigrid Convergence for Discretizations of Singular Perturbation Problems with Grid-Aligned Flow
James S. Otto

APRIL 1996, Volume 33, Number 2

Multiresolution Standard Form of a Matrix
Francesc Arandiga and Vicente F. Candela

Computation of Hopf Bifurcation with Bordered Matrices
Bodo Werner

Multigrid Waveform Relaxation on Spatial Finite Element Meshes: The Continuous-Time Case
Jan Janssen and Stefan Vandewalle

Symplectic Integration of Constrained Hamiltonian Systems by Composition Methods
Sebastian Reich

A Priori Estimates for Mixed Finite Element Approximations of Second-Order Hyperbolic Equations with Absorbing Boundary Conditions
Lawrence C. Cowsar, Todd F. Dupont, and Mary F. Wheeler

Superconvergence in Finite Element Methods and Meshes that are Locally Symmetric with Respect to a Point
A. H. Schatz, I. H. Sloan, and L. B. Wahlbin

Error Estimates for Finite Element Methods for Scalar Conservation Laws
Bernardo Cockburn and Pierre-Alain Gremaud

Two-Level Schwarz Methods for the Biharmonic Problem Discretized by Conforming C1 Elements
Xuejun Zhang

Upper and Lower Bounds on the Dimension of Multivariate Spline Spaces
Peter Alfeld

Block Iterative Algorithms for Solving Hermite Bicubic Collocation Equations
W. Sun

Error Bounds on the Estimation of Fractal Dimension
B. Dubuc and S. Dubuc

High-Resolution Conservative Algorithms for Advection in Incompressible Flow
Randall J. LeVeque

Asymptotic and A Posteriori Error Estimates for Boundary Element Solutions of Hypersingular Integral Equations
Miloslav Feistauer, George C. Hsiao, and Ralph E. Kleinman

A Block Finite Difference Scheme for Second-Order Elliptic Problems with Discontinuous Coefficients
Jian Shen

Finite-Rank Methods and Their Stability for Coupled Systems of Operator Equations
Alain Largillier and Balmohan V. Limaye

The Optimal p-Version Approximation of Singularities on Polyhedra in the Boundary Element Method
Christoph Schwab and Manil Suri

Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I
Xu-Dong Liu and Stanley Osher

A Finite Element Method for the Compressible Stokes Equations
R. Bruce Kellogg and Biyue Liu

The h-p Version of the Boundary Element Method for Transmission Problems with Piecewise Analytic Data
Benqi Guo, Norbert Heuer, and Ernst P. Stephan

A Convergence Analysis of a P-Version Finite Element Method for One-Dimensional Elastoplasticity Problem with Constitutive Laws Based on the Gauge Function Method
Y. Li and I. Babuska

JUNE 1996, Volume 33, Number 3

On the Convergence of Operator Splitting Applied to Conservation Laws with Source Terms
J. O. Langseth, A. Tveito, and R. Winther

Numerical Analysis of a Model for the Spread of HIV/AIDS Mimmo Iannelli, Roberto Loro, Fabio A. Milner, Andrea Pugliese, and Guglielmo

The Numerical Stability of Linear Multistep Methods for Delay Differential Equations with Many Delays
Tian Hong-Jiong and Kuang Jiao-Xun

Stable Finite Elements for Problems with Wild Coefficients
Stephen A. Vavasis

A General Family of Explicit Runge-Kutta Pairs of Orders 6(5)
S. N. Papakostas, Ch. Tsitouras, and G. Papageorgiou

Adaptive Multiresolution Collocation Methods for Initial Boundary Value Problems of Nonlinear PDEs
Wei Cai and Jianzhong Wang

Generalized Gaussian Quadrature Rules for Systems of Arbitrary Functions
J. Ma, V. Rokhlin, and S. Wandzura

Convergence of Implicit Finite Difference Methods Applied to Nonlinear Mixed Systems
H. J. Schroll

Far-Field Filtering Operators for Suppression of Reflections from Artificial Boundaries
Smadar Karni

Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations
Hideaki Kaneko and Yuesheng Xu

Asymptotic Behavior of Semidiscrete Finite-Element Approximations of Biot's Consolidation Problem
Marcio A. Murad, Vidar Thomee, and Abimael F. D. Loula

Finite Element Methods with Numerical Quadrature for Parabolic Integrodifferential Equations
Amiya K. Pani and Todd E. Peterson

A Convergent Adaptive Algorithm for Poisson's Equation
Willy Dorfler

A Note on Unconditional Maximum Norm Contractivity of Diagonally Split Runge-Kutta Methods
K. J. in 't Hout

A Uniformly Convergent Finite Difference Scheme for a Singularly Perturbed Semilinear Equation
Paul A. Farrell, John J. H. Miller, Eugene O'Riordan, and Grigori I. Shishkin

Local Numerical Analysis of Hopf Bifurcation
Vladimir Janovsky and Petr Plechac

Fourier-Chebyshev Spectral Method for the Two-Dimensional Navier-Stokes Equations
Guo Ben-Yu and Li Jian

A Posteriori Error Estimates for Elliptic Problems in Two and Three Space Dimensions
Folkmar A. Bornemann, Bodo Erdmann, and Ralf Kornhuber

Multiresolution Representation of Data: A General Framework
Ami Harten

AUGUST 1996, Volume 33, Number 4

Numerical Analysis for the Heat Flux in a Mixed Elliptic Problem to Obtain a Discrete Steady-State Two-Phase Stefan Problem
Domingo Alberto Tarzia

Construction and Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media
Gary Cohen and Patrick Joly

A Polylogarithmic Bound for an Iterative Substructuring Method for Spectral Elements in Three Dimensions
Luca F. Pavarino and Olof B. Widlund

Uniqueness of Steady-State Solutions for Difference Equations on Overlapping Grids
Zi-Niu Wu

A Preconditioner Based on Domain Decomposition for h-p Finite-Element Approximation on Quasi-Uniform Meshes
Mark Ainsworth

Numerical Approximation of the One-Dimensional Vlasov-Poisson System with Periodic Boundary Conditions
Stephen Wollman and Ercument Ozizmir

On Nonmonotone Solutions of an Integrodifferential Equation in Linear Viscoelasticity
Olli Jokinen

An Efficient Two-Dimensional Vortex Method with Long Time Accuracy
Ibrahim Bless Ranero and Tomas Chacon Rebollo

Attractors and Error Estimates for Discretizations of Incompressible Navier-Stokes Equations
Yin Yan

A Novel Approach to the Numerical Solution of Boundary Value Problems on Infinite Intervals
Riccardo Fazio

Local Error Estimates for the Galerkin Method Applied to Strongly Elliptic Integral Equations on Open Curves
Thanh Tran

A New Nonconforming Finite Element Method for the Computation of Electromagnetic Guided Waves I: Mathematical Analysis
P. Joly, C. Poirier, J. E. Roberts, and P. Trouve

Dufort-Frankel-Type Methods for Linear and Nonlinear Schrödinger Equations
Lixin Wu

Fast Legendre-Fenchel Transform and Applications to Hamilton-Jacobi Equations and Conservation Laws
Lucilla Corrias

A Global Convergence Theorem for a Class of Parallel Continuous Explicit Runge-Kutta Methods and Vanishing Lag Delay Differential Equations
Christopher T. H. Baker and Christopher A. H. Paul

Trigonometric Collocation Methods with Product Integration for Boundary Integral Equations on Closed Curves
J. Saranen and G. Vainikko

Projection Method II: Godunov-Ryabenki Analysis
Weinan E and Jian-Guo Liu

An Operator Splitting Method for the Wigner-Poisson Problem
Anton Arnold and Christian Ringhofer

Optimal Time Step Control for the Numerical Solution of Ordinary Differential Equations
Masaki Utumi, Ryuji Takaki, and Toshio Kawai

Maximum Norm Analysis of Completely Discrete Finite Element Methods for Parabolic Problems
C. Palencia

A Nonlinear Mixed Finite Element Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media
Todd Arbogast, Mary F. Wheeler, and Nai-Ying Zhang

OCTOBER 1996, Volume 33, Number 5

Fast Algorithms for Polynomial Interpolation, Integration, and Differentiation
A. Dutt, M. Gu, and V. Rokhlin

The Runge-Kutta Theory in a Nutshell
Peter Albrecht

A First-Order Exactly Incompressible Finite Element for Axisymmetric Fluid Flow
Barry Bernstein, Kathleen A. Feigl, and Elwood T. Olsen

Two-Grid Discretization Techniques for Linear and Nonlinear PDEs
Jinchao Xu

On the Superconvergence of Galerkin Methods for Hyperbolic IBVP
David Gottlieb, Bertil Gustafsson, Pelle Olsson, and Bo Strand

Convergence of a Boundary Integral Method for Water Waves
J. Thomas Beale, Thomas Y. Hou, and John Lowengrub

Analysis and Application of Fourier-Gegenbauer Method to Stiff Differential Equations
L. Vozovoi, M. Israeli, and A. Averbuch

Piecewise Linear Petrov-Galerkin Error Estimates for the Box Method
Thomas Kerkhoven

The Fourier-Finite-Element Method for Poisson's Equation in Axisymmetric Domains with Edges
Bernd Heinrich

The Approximate Solution of Defining Equations for Generalized Turning Points
A. Griewank and G. W. Reddien

Sequential Regularization Methods for Higher Index DAEs with Constraint Singularities: The Linear Index-2 Case
Uri M. Ascher and Ping Lin

A New Class of Discretization Methods for the Solution of Linear Differential-Algebraic Equations with Variable Coefficients
Peter Kunkel and Volker Mehrmann

Extra Smoothness Requirements for Galerkin Methods for the Wave Equation
Mark C. Haase

Parallel Treatment of a Class of Differential-Algebraic Systems
J. Bahi, E. Griepentrog, and J. C. Miellou

Uniqueness and Nonuniqueness for the Approximation of Quasilinear Elliptic Equations
N. Andre and M. Chipot

Quadrature Error Bounds with Applications to Lattice Rules
Fred J. Hickernell

A Multiple-Exchange Algorithm for Complex Chebyshev Approximation by Polynomials on the Unit Circle
Ching-Yih Tseng

High-Order Positivity-Preserving Kinetic Schemes for the Compressible Euler Equations
J. L. Estivalezes and P. Villedieu

Qualitative Analysis of Newton's Flow
Vladimir Janovsky and Viktor Seige

DECEMBER 1996, Volume 33, Number 6

Convergence of a Weighted Particle Method for Solving the Boltzmann (B.G.K.) Equation
D. Issautier

Error Estimates for Regularization Methods in Hilbert Scales
Ulrich Tautenhahn

Analysis of Preconditioners for Hyperbolic Partial Differential Equations
Kurt Otto

Adaptive Boundary Element Methods for Some First Kind Integral Equations
Carsten Carstensen and Ernst P. Stephan

A Numerical Method for Steady State Free Boundary Problems
Zhimin Zhang and Ivo Babuska

Algorithms for Computing Motion by Mean Curvature
Noel J. Walkington

Optimal Polynomials for (T, M, S)-Nets and Numerical Integration of Multivariate Walsh Series
G. Larcher, A. Lauss, H. Niederreiter, and W. Ch. Schmid

Stability Analysis of Numercial Schemes for Stochastic Differential Equations
Yoshihiro Saito and Taketomo Mitsui

Finite Difference Preconditioning for Solving Orthogonal Collocation Equations for Boundary Value Problems
Weiwei Sun, Weizhang Huang, and Robert D. Russell

A Best Approximation Property of the Moving Finite Element Method
P. K. Jimack

Convergence of Waveform Relaxation Methods for Differential-Algebraic Systems
Z. Jackiewicz and M. Kwapisz

Transfer of Boundary Conditions for DAEs of Index 1
Katalin Balla and Roswitha Marz

Computation and Parametrisation of Invariant Curves and Tori
Gerald Moore

A Two-Level Method for the Discretization of Nonlinear Boundary Value Problems
O. Axelsson and W. Layton

Preconditioning Chebyshev Spectral Collocation Method for Elliptic Partial Differential Equations
Sang Dong Kim and Seymour V. Parter

A Domain Decomposition Method with Coupled Transmission Conditions for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations
Jean-David Benamou

On the Least Squares Solution of Inverse Eigenvalue Problems
Xuzhou Chen and Moody T. Chu

A Posteriori Error Estimators for the Raviart-Thomas Element
D. Braess and R. Verfurth

Snakes in Movement
V. Caselles and B. Coll

A New Class of Mixed Finite Element Methods for Reissner-Mindlin Plates
C. Lovadina

Second-Order Spectral Differentiation Matrices
G. E. Sneddon

Error Estimates for Finite Difference Methods for a Wide-Angle "Parabolic" Equation
G. D. Akrivis, V. A. Dougalis, and G. E. Zouraris