- 1998 Vol 35 : 6 5 4 3 2 1
- 1997 Vol 34 : 6 5 4 3 2 1
- 1996 Vol 33 : 6 5 4 3 2 1
- 1995 Vol 32 : 6 5 4 3 2 1
- 1994 Vol 31 : 6 5 4 3 2 1
- 1993 Vol 30 : 6 5 4 3 2 1
- 1992 Vol 29 : 6 5 4 3 2 1
- 1991 Vol 28 : 6 5 4 3 2 1
- 1990 Vol 27 : 6 5 4 3 2 1

*
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)

*
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)

*
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)

*
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)

*
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

Schneider

(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)

*
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

*
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

*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 C ^{2} 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 L ^{1}-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 L ^{1}--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

*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 C ^{1} 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

*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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Rabbiolo

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

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

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

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