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 C2 Supersplines of Degree Six
Ming-Jun Lai and Larry L. Schumaker
pp. 905 - 921
Subdivision Direction Selection in Interval Methods for Global Optimization
T. Csendes and D. Ratz
pp. 922 - 938
Preconditioning Chebyshev Spectral Collocation by Finite-Difference Operators
Sang Dong Kim and Seymour V. Parter
pp. 939 - 958
Optimal L1-Rate of Convergence for The Viscosity Method and Monotone Scheme to Piecewise Constant Solutions with Shocks
Zhen-huan Teng and Pingwen Zhang
pp. 959 - 978
Mesh Smoothing Using A Posteriori Error Estimates
Randolph E. Bank and R. Kent Smith
pp. 979 - 997
A Convergence Analysis of an H-Version Finite-Element Method with High-Order Elements for Two-Dimensional Elasto-Plasticity Problems
Yiwei Li and Ivo Babuska
pp. 998 - 1036
A Finite-Element Method for Laplace- and Helmholtz-Type Boundary Value Problems with Singularities
Xiaonan Wu and Houde Han
pp. 1037 - 1050
A Sequential Regularization Method for Time-Dependent Incompressible Navier--Stokes Equations
Ping Lin
pp. 1051 - 1071
Analysis of the Inexact Uzawa Algorithm for Saddle Point Problems
James H. Bramble, Joseph E. Pasciak, and Apostol T. Vassilev
pp. 1072 - 1092
A Penalized Finite-Element Method for a Compressible Stokes System
R. Bruce Kellogg and Biyue Liu
pp. 1093 - 1105
Analysis of Moving Mesh Partial Differential Equations with Spatial Smoothing
Weizhang Huang and Robert D. Russell
pp. 1106 - 1126
Analysis of the Cell-Vertex Finite Volume Method for Hyperbolic Problems with Variable Coefficients
Philippe Balland and Endre Süli
pp. 1127 - 1151
An L1--Error Bound for a Semi-Implicit Difference Scheme Applied to a Stiff System of Conservation Laws
Hans Joachim Schroll, Aslak Tveito, and Ragnar Winther
pp. 1152 - 1166
Best Error Estimates for Odd and Even Degree Deficient Splines
François Dubeau
pp. 1167 - 1184
An ADI Method for Hysteretic Reaction-Diffusion Systems
Chichia Chiu and Noel Walkington
pp. 1185 - 1206
The Numerical Computation of Homoclinic Orbits for Maps
W.-J. Beyn and J.-M. Kleinkauf
pp. 1207 - 1236
Error Estimates with Sharp Constants for a Fading Memory Volterra Problem in Linear Solid Viscoelasticity
S. Shaw, M. K. Warby, and J. R. Whiteman
pp. 1237 - 1254
The Application of Eigenpair Stability to Block Diagonalization
Nilotpal Ghosh, William W. Hager, and Purandar Sarmah
pp. 1255 - 1268
Defining Functions for Multiple Hopf Bifurcations
W. Govaerts, J. Guckenheimer, and A. Khibnik
pp. 1269 - 1288
First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
Zhiqiang Cai, Thomas A. Manteuffel, and Stephen F. McCormick
pp. 425 - 454
Finite Element Approximation of The Transport of Reactive Solutes in Porous Media. Part II: Error Estimates for Equilibrium
John W. Barrett and Peter Knabner
pp. 455 - 479
Least-Squares Finite Element Method for the Stokes Problem with Zero Residual of Mass Conservation
C. L. Chang and John J. Nelson
pp. 480 - 489
Convergence Past Singularities for a Fully Discrete Approximation of Curvature-Drive Interfaces
Ricardo H. Nochetto and Claudio Verdi
pp. 490 - 512
A Note on the Superlinear Convergence of GMRES
Igor Moret
pp. 513 - 516
On Converse and Saturation Results for Tikhonov Regularization of Linear Ill-Posed Problems
Andreas Neubauer
pp. 517 - 527
Unconditional Contractivity in the Maximum Norm of Diagonally Split Runge--Kutta Methods
A Bellen and L. Torelli
pp. 528 - 543
An hp Error Analysis of MITC Plate Elements
Rolf Stenberg and Manil Suri
pp. 544 - 568
Fitting Monotone Surfaces to Scattered Data Using C1 Piecewise Cubics
Lu Han and Larry L. Schumaker
pp. 569 - 585
Cubature Rules of Prescribed Merit
J. N. Lyness and I. H. Sloan
pp. 586 - 602
A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change
Alain Bamberger, Roland Glowinski, and Quang Huy Tran
pp. 603 - 639
Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity
Zhimin Zhang
pp. 640 - 663
Three-Dimensional Finite Element Methods for the Stokes Problem
Daniele Boffi
pp. 664 - 670
A New Theoretical Approach to Absorbing Layers
Patrick Joly and Jukka Tuomela
pp. 671 - 698
Schwarz Methods: To Symmetrize or Not to Symmetrize
Michael Holst and Stefan Vandewalle
pp. 699 - 722
Analysis of the Spatial Error for a Class of Finite Difference Methods for Viscous Incompressible Flow
Brian R. Wetton
pp. 723 - 755
Does Error Control Suppress Spuriosity?
Mark A. Aves, David F. Griffiths, and Desmond J. Higham
pp. 756 - 778
Characteristic Galerkin Schemes for Scalar Conservation Laws in Two and Three Space Dimensions
Peixiong Lin, K. W. Morton, and E. Süli
pp. 779 - 796
Solving Polynomial Systems Using a Branch and Prune Approach
Pascal Van Hentenryck, David McAllester, and Deepak Kapur
pp. 797 - 827
Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
Todd Arbogast, Mary F. Wheeler, and Ivan Yotov
pp. 828 - 852
Erratum: Quadrature Error Bounds with Applications to Lattice Rules
Fred J. Hickernell
pp. 853 - 866
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
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Order Results for Mono-Implicit Runge-Kutta Methods
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Preconditioning Legendre Spectral Collocation Approximations to
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A Simple Proof of Convergence for an Approximation Scheme for
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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
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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
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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