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ORCIDSIAM Journal on Numerical Analysis, Volume 42
Volume 42, Number 1, 2004
- Qiang Du
, Max D. Gunzburger, L. Steven Hou, J. Lee:
Semidiscrete Finite Element Approximations of a Linear Fluid-Structure Interaction Problem. 1-29 - David M. Sloan:
On the Norms of Inverses of Pseudospectral Differentiation Matrices. 30-48 - Weiying Zheng, Lung-an Ying:
Finite Element Approximations to the Discrete Spectrum of the Schrödinger Operator with the Coulomb Potential. 49-74 - Carsten Carstensen, Georg Dolzmann:
Time-Space Discretization of the Nonlinear Hyperbolic System utt = div (\sigma(Du)+ Dut). 75-89 - Jayadeep Gopalakrishnan, Joseph E. Pasciak, Leszek F. Demkowicz:
Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations. 90-108 - Hyesuk Lee:
A Multigrid Method for Viscoelastic Fluid Flow. 109-129 - Barry Lee, Stephen F. McCormick, Bobby Philip, Daniel J. Quinlan:
Asynchronous Fast Adaptive Composite-Grid Methods for Elliptic Problems: Theoretical Foundations. 130-152 - Adiguzel A. Dosiyev:
The High Accurate Block-Grid Method for Solving Laplace's Boundary Value Problem with Singularities. 153-178 - Adimurthi, Jérôme Jaffré, G. D. Veerappa Gowda:
Godunov-Type Methods for Conservation Laws with a Flux Function Discontinuous in Space. 179-208 - Nicolas Victoir:
Asymmetric Cubature Formulae with Few Points in High Dimension for Symmetric Measures. 209-227 - Boris A. Andreianov, Michael Gutnic, Petra Wittbold:
Convergence of Finite Volume Approximations for a Nonlinear Elliptic-Parabolic Problem: A "Continuous" Approach. 228-251 - Mats G. Larson, A. Jonas Niklasson:
Analysis of a Nonsymmetric Discontinuous Galerkin Method for Elliptic Problems: Stability and Energy Error Estimates. 252-264 - Bernhard A. Schmitt, Rüdiger Weiner:
Parallel Two-Step W-Methods with Peer Variables. 265-282 - Bernardo Cockburn, Jayadeep Gopalakrishnan:
A Characterization of Hybridized Mixed Methods for Second Order Elliptic Problems. 283-301 - T. Tachim Medjo, Louis Roder Tcheugoué Tébou:
Adjoint-Based Iterative Method for Robust Control Problems in Fluid Mechanics. 302-325 - Jie Shen, Li-lian Wang:
Error Analysis for Mapped Legendre Spectral and Pseudospectral Methods. 326-349 - Nicolas Besse:
Convergence of a Semi-Lagrangian Scheme for the One-Dimensional Vlasov-Poisson System. 350-382 - Hermann Schichl, Arnold Neumaier:
Exclusion Regions for Systems of Equations. 383-408 - Éliane Bécache, A. S. Bonnet-Ben Dhia, G. Legendre:
Perfectly Matched Layers for the Convected Helmholtz Equation. 409-433 - Paul Houston, Ilaria Perugia, Dominik Schötzau:
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator. 434-459
Volume 42, Number 2, 2004
- H. R. MacMillan, Thomas A. Manteuffel, Stephen F. McCormick:
First-Order System Least Squares and Electrical Impedance Tomography. 461-483 - Bruno Després:
An Explicit A Priori Estimate for a Finite Volume Approximation of Linear Advection on Non-Cartesian Grids. 484-504 - Sören Bartels:
Adaptive Approximation of Young Measure Solutions in Scalar Nonconvex Variational Problems. 505-529 - Sergio Blanes, Fernando Casas, Ander Murua:
On the Numerical Integration of Ordinary Differential Equations by Processed Methods. 531-552 - Mark Ainsworth:
Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number. 553-575 - Todd Arbogast:
Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems. 576-598 - J. Thomas Beale:
A Grid-Based Boundary Integral Method for Elliptic Problems in Three Dimensions. 599-620 - Annalisa Buffa, Ralf Hiptmair:
A Coercive Combined Field Integral Equation for Electromagnetic Scattering. 621-640 - Qiang Zhang, Chi-Wang Shu:
Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Scalar Conservation Laws. 641-666 - Faker Ben Belgacem:
A Stabilized Domain Decomposition Method with Nonmatching Grids for the Stokes Problem in Three Dimensions. 667-685 - Gabriele Steidl, Joachim Weickert, Thomas Brox, Pavel Mrázek, Martin Welk:
On the Equivalence of Soft Wavelet Shrinkage, Total Variation Diffusion, Total Variation Regularization, and SIDEs. 686-713 - Jean-Luc Guermond:
A Finite Element Technique for Solving First-Order PDEs in Lp. 714-737 - John W. Barrett, Robert Nürnberg, Vanessa Styles:
Finite Element Approximation of a Phase Field Model for Void Electromigration. 738-772 - Eberhard Bänsch, Pedro Morin, Ricardo H. Nochetto:
Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation. 773-799 - Ivo Babuska, Raúl Tempone, Georgios E. Zouraris:
Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations. 800-825 - Zhiqiang Cai, Gerhard Starke:
Least-Squares Methods for Linear Elasticity. 826-842 - Zhiqiang Cai, Barry Lee, Ping Wang:
Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems. 843-859 - Martin Berggren:
Approximations of Very Weak Solutions to Boundary-Value Problems. 860-877 - Jesús F. Palacián:
Integration of Perturbed Initial Value Problems through Reduction Theory. 878-904
Volume 42, Number 3, 2004
- Qiya Hu, Zhongci Shi, Dehao Yu:
Efficient Solvers for Saddle-Point Problems Arising from Domain Decompositions with Lagrange Multipliers. 905-933 - Christophe Besse:
A Relaxation Scheme for the Nonlinear Schrödinger Equation. 934-952 - Jernej Kozak, Emil Zagar:
On Geometric Interpolation by Polynomial Curves. 953-967 - Peter Mathé:
Saturation of Regularization Methods for Linear Ill-Posed Problems in Hilbert Spaces. 968-973 - Steven J. Ruuth, Raymond J. Spiteri:
High-Order Strong-Stability-Preserving Runge-Kutta Methods with Downwind-Biased Spatial Discretizations. 974-996 - Jong-Shi Pang, Thomas P. Y. Yu:
Continuous M-Estimators and Their Interpolation by Polynomials. 997-1017 - Yao-Lin Jiang:
On Time-Domain Simulation of Lossless Transmission Lines with Nonlinear Terminations. 1018-1031 - Wenbin Liu, Heping Ma, Tao Tang, Ningning Yan:
A Posteriori Error Estimates for Discontinuous Galerkin Time-Stepping Method for Optimal Control Problems Governed by Parabolic Equations. 1032-1061 - Xiu Ye:
A New Discontinuous Finite Volume Method for Elliptic Problems. 1062-1072 - L. Ferracina, M. N. Spijker:
Stepsize Restrictions for the Total-Variation-Diminishing Property in General Runge-Kutta Methods. 1073-1093 - Lishang Jiang, Min Dai:
Convergence of Binomial Tree Methods for European/American Path-Dependent Options. 1094-1109 - Dmitry E. Pelinovsky, Yury A. Stepanyants:
Convergence of Petviashvili's Iteration Method for Numerical Approximation of Stationary Solutions of Nonlinear Wave Equations. 1110-1127 - Gilles Aubert, Laure Blanc-Féraud, Riccardo March:
Gamma-Convergence of Discrete Functionals with Nonconvex Perturbation for Image Classification. 1128-1145 - Zhangxin Chen, Hongsen Chen:
Pointwise Error Estimates of Discontinuous Galerkin Methods with Penalty for Second-Order Elliptic Problems. 1146-1166 - Penny J. Davies, Dugald B. Duncan:
Stability and Convergence of Collocation Schemes for Retarded Potential Integral Equations. 1167-1188 - Pavel B. Bochev, Max D. Gunzburger:
An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations. 1189-1207 - Jean-Claude Latché, D. Vola:
Analysis of the Brezzi-Pitkäranta Stabilized Galerkin Scheme for Creeping Flows of Bingham Fluids. 1208-1225 - Michael Plexousakis, Georgios E. Zouraris:
On the Construction and Analysis of High Order Locally Conservative Finite Volume-Type Methods for One-Dimensional Elliptic Problems. 1226-1260 - Maxim A. Olshanskii, Arnold Reusken:
Convergence Analysis of a Multigrid Method for a Convection-Dominated Model Problem. 1261-1291 - Heinz-Otto Kreiss, N. Anders Petersson, Jacob Yström:
Difference Approximations of the Neumann Problem for the Second Order Wave Equation. 1292-1323 - Charles M. Elliott, David Kay, Vanessa Styles:
A Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity. 1324-1341 - Sven Beuchler:
Multilevel Solvers for a Finite Element Discretization of a Degenerate Problem. 1342-1356
Volume 42, Number 4, 2004
- Christos Arvanitis, Charalambos G. Makridakis, Athanasios E. Tzavaras:
Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws. 1357-1393 - R. Luce, Barbara I. Wohlmuth:
A Local A Posteriori Error Estimator Based on Equilibrated Fluxes. 1394-1414 - Olivier Gibaru:
Tensorial Rational Surfaces with Base Points via Massic Vectors. 1415-1434 - Sergey I. Repin, Stefan A. Sauter, Anton Smolianski:
A Posteriori Estimation of Dimension Reduction Errors for Elliptic Problems on Thin Domains. 1435-1451 - Florin A. Radu, Iuliu Sorin Pop, Peter Knabner:
Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation. 1452-1478 - Albert Cohen, Marc Hoffmann, Markus Reiß:
Adaptive Wavelet Galerkin Methods for Linear Inverse Problems. 1479-1501 - Daniele Boffi, Lucia Gastaldi:
Analysis of Finite Element Approximation of Evolution Problems in Mixed Form. 1502-1526 - Jérémie Szeftel:
Design of Absorbing Boundary Conditions for Schrödinger Equations in Rd. 1527-1551 - Andrew J. Sommese, Jan Verschelde, Charles W. Wampler:
Homotopies for Intersecting Solution Components of Polynomial Systems. 1552-1571 - L. Beirão da Veiga:
Finite Element Methods for a Modified Reissner-Mindlin Free Plate Model. 1572-1591 - Tri Van, Aihua Wood:
A Time-Domain Finite Element Method for Maxwell's Equations. 1592-1609 - A. M. Sauer-Budge, Javier Bonet, Antonio Huerta, Jaime Peraire:
Computing Bounds for Linear Functionals of Exact Weak Solutions to Poisson's Equation. 1610-1630 - Reinhard Nabben, Cornelis Vuik:
A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow. 1631-1647 - René Pinnau:
Uniform Convergence of an Exponentially Fitted Scheme for the Quantum Drift Diffusion Model. 1648-1668 - Robert D. Falgout, Panayot S. Vassilevski:
On Generalizing the Algebraic Multigrid Framework. 1669-1693 - Manuel Torrilhon, M. Fey:
Constraint-Preserving Upwind Methods for Multidimensional Advection Equations. 1694-1728 - Liping Liu, Tang Liu, Michal Krízek, Tao Lin, Shuhua Zhang:
Global Superconvergence and A Posteriori Error Estimators of the Finite Element Method for a Quasi-linear Elliptic Boundary Value Problem of Nonmonotone Type. 1729-1744 - Zhi-Qiang Wang, Jianxin Zhou:
A Local Minimax-Newton Method for Finding Multiple Saddle Points with Symmetries. 1745-1759 - Xiaoqun Wang, Ian H. Sloan, Josef Dick:
On Korobov Lattice Rules in Weighted Spaces. 1760-1779 - Ahmed Naga, Zhimin Zhang:
A Posteriori Error Estimates Based on the Polynomial Preserving Recovery. 1780-1800
Volume 42, Number 5, 2005
- Noel Walkington:
Convergence of the Discontinuous Galerkin Method for Discontinuous Solutions. 1801-1817 - Mirco Raffetto:
Discrete Compactness for Edge Elements in the Presence of Mixed Boundary Conditions. 1818-1829 - Martin Weiser, Anton Schiela, Peter Deuflhard:
Asymptotic Mesh Independence of Newton's Method Revisited. 1830-1845 - Jason Cantarella:
On Comparing the Writhe of a Smooth Curve to the Writhe of an Inscribed Polygon. 1846-1861 - Santos B. Yuste, L. Acedo:
An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations. 1862-1874 - Omar Lakkis, Ricardo H. Nochetto:
A Posteriori Error Analysis for the Mean Curvature Flow of Graphs. 1875-1898 - Xiao-song Qian, Cheng-long Xu, Lishang Jiang, Baojun Bian:
Convergence of the Binomial Tree Method for American Options in a Jump-Diffusion Model. 1899-1913 - Todd Arbogast, Mary F. Wheeler:
A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems. 1914-1931 - Panagiotis Chatzipantelidis, Raytcho D. Lazarov:
Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains. 1932-1958 - Beatrice Riviere, Ivan Yotov:
Locally Conservative Coupling of Stokes and Darcy Flows. 1959-1977 - Sergei Konyagin, Bojan Popov, Ognian Trifonov:
On Convergence of Minmod-Type Schemes. 1978-1997 - Leszek Marcinkowski:
A Mortar Finite Element Method for Fourth Order Problems in Two Dimensions with Lagrange Multipliers. 1998-2019 - Chengming Huang, Stefan Vandewalle:
Discretized Stability and Error Growth of The Nonautonomous Pantograph Equation. 2020-2042 - Claudio Canuto, Karsten Urban:
Adaptive Optimization of Convex Functionals in Banach Spaces. 2043-2075 - Yahia Lebbah, Claude Michel, Michel Rueher, David Daney, Jean-Pierre Merlet:
Efficient and Safe Global Constraints for Handling Numerical Constraint Systems. 2076-2097 - Olivier Bokanowski, Mohammed Lemou:
Fast Multipole Method for Multivariable Integrals. 2098-2117 - Ricardo H. Nochetto, Kunibert G. Siebert, Andreas Veeser:
Fully Localized A posteriori Error Estimators and Barrier Sets for Contact Problems. 2118-2135 - Carsten Carstensen:
Estimation of Higher Sobolev Norm from Lower Order Approximation. 2136-2147 - Jörg Liesen, Paul E. Saylor:
Orthogonal Hessenberg Reduction and Orthogonal Krylov Subspace Bases. 2148-2158 - Hyea Hyun Kim, Chang-Ock Lee:
A Preconditioner for the FETI-DP Formulation with Mortar Methods in Two Dimensions. 2159-2175 - Satish C. Reddy, J. Andre Weideman:
The Accuracy of the Chebyshev Differencing Method for Analytic Functions. 2176-2187 - Rob P. Stevenson:
An Optimal Adaptive Finite Element Method. 2188-2217 - Arieh Iserles, Antonella Zanna:
Efficient Computation of the Matrix Exponential by Generalized Polar Decompositions. 2218-2256
Volume 42, Number 6, 2005
- Brian D. Ewald, Roger Temam:
Numerical Analysis of Stochastic Schemes in Geophysics. 2257-2276 - Peter Kunkel, Volker Mehrmann, Ronald Stöver:
Multiple Shooting for Unstructured Nonlinear Differential-Algebraic Equations of Arbitrary Index. 2277-2297 - Oscar P. Bruno, E. McKay Hyde:
Higher-Order Fourier Approximation in Scattering by Two-Dimensional, Inhomogeneous Media. 2298-2319 - Mark Ainsworth:
Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation. 2320-2341 - Alfred H. Schatz:
Perturbations of Forms and Error Estimates for the Finite Element Method at a Point, with an Application to Improved Superconvergence Error Estimates for Subspaces that Are Symmetric with Respect to a Point. 2342-2365 - Winfried Auzinger, Othmar Koch, Ewa Weinmüller:
Analysis of a New Error Estimate for Collocation Methods Applied to Singular Boundary Value Problems. 2366-2386 - Gerhard Starke:
A First-Order System Least Squares Finite Element Method for the Shallow Water Equations. 2387-2407 - Habib Ammari, Hyeonbae Kang, EunJoo Kim, Mikyoung Lim:
Reconstruction of Closely Spaced Small Inclusions. 2408-2428 - Douglas N. Arnold, Daniele Boffi, Richard S. Falk:
Quadrilateral H(div) Finite Elements. 2429-2451 - Mohammad Majidi:
Least-Squares Galerkin Methods for Parabolic Problems III: Semidiscrete Case for Semilinear Problems. 2452-2475 - Barbara I. Wohlmuth:
A V-cycle Multigrid Approach for Mortar Finite Elements. 2476-2495 - Carsten Carstensen, Raytcho D. Lazarov, Stanimire Tomov:
Explicit and Averaging A Posteriori Error Estimates for Adaptive Finite Volume Methods. 2496-2521 - Gerald Moore:
Floquet Theory as a Computational Tool. 2522-2568 - Guido Giese:
Nonlinear Stability Analysis for the Method of Transport for the Elastic-Plastic Wave Equation. 2569-2589 - Andrea Toselli, Xavier Vasseur:
Dual-Primal FETI Algorithms for Edge Element Approximations: Two-Dimensional H And P Finite Elements on Shape-Regular Meshes. 2590-2611 - Chiu-Yen Kao, Stanley J. Osher, Yen-Hsi Tsai:
Fast Sweeping Methods for Static Hamilton-Jacobi Equations. 2612-2632 - Carsten Carstensen, Dirk Praetorius:
Numerical Analysis for a Macroscopic Model in Micromagnetics. 2633-2651 - Richards Grzhibovskis, Alexei Heintz:
A Convolution-Thresholding Approximation of Generalized Curvature Flows. 2652-2670 - Pierre Degond, Shi Jin:
A Smooth Transition Model between Kinetic and Diffusion Equations. 2671-2687 - Carlo Lovadina:
A Low-order Nonconforming Finite Element for Reissner-Mindlin Plates. 2688-2705
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