Journal: SIAM J. Numerical Analysis

Volume 40, Issue 6

2007 -- 2025Thierry Goudon. Analysis of a Semidiscrete Version of the Wigner Equation
2026 -- 2046Andrew J. Sommese, Jan Verschelde, Charles W. Wampler. Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems
2047 -- 2068Mark Ainsworth, Katia Pinchedez. ::::hp::::-Approximation Theory for BDFM and RT Finite Elements on Quadrilaterals
2069 -- 2084Elena Celledoni, Brynjulf Owren. A Class of Intrinsic Schemes for Orthogonal Integration
2085 -- 2104Luminita A. Vese, Stanley Osher. Numerical Methods for ::::p::::-Harmonic Flows and Applications to Image Processing
2133 -- 2150Richard E. Ewing, Mingjun Liu, Junping Wang. A New Superconvergence for Mixed Finite Element Approximations
2151 -- 2170Clint Dawson. The P:::k+1-::: S:::k::: Local Discontinuous Galerkin Method for Elliptic Equations
2171 -- 2194Dominik Schötzau, Christoph Schwab, Andrea Toselli. Mixed ::::hp::::-DGFEM for Incompressible Flows
2195 -- 2218William J. Layton, Friedhelm Schieweck, Ivan Yotov. Coupling Fluid Flow with Porous Media Flow
2219 -- 2239Valeria Simoncini, Daniel B. Szyld. Flexible Inner-Outer Krylov Subspace Methods
2240 -- 2253Roberto Ferretti. Convergence of Semi-Lagrangian Approximations to Convex Hamilton-Jacobi Equations under (Very) Large Courant Numbers
2254 -- 2269M. S. Min, D. Gottlieb. On the Convergence of the Fourier Approximation for Eigenvalues and Eigenfunctions of Discontinuous Problems
2270 -- 2291Yingjie Liu, Randolph E. Bank, Todd F. Dupont, Sonia Garcia, Rafael F. Santos. Symmetric Error Estimates for Moving Mesh Mixed Methods for Advection-Diffusion Equations
2292 -- 2310Raphaèle Herbin. A Monotonic Method for the Numerical Solution of Some Free Boundary Value Problems
2311 -- 2317James S. Ball. Half-Range Generalized Hermite Polynomials and the Related Gaussian Quadratures
2318 -- 2336Reinhard Nabben, Daniel B. Szyld. Convergence Theory of Restricted Multiplicative Schwarz Methods
2337 -- 2351Yuzhi Cai. Convergence Theory of a Numerical Method for Solving the Chapman-Kolmogorov Equation
2352 -- 2367Defeng Sun, Jie Sun. Strong Semismoothness of Eigenvalues of Symmetric Matrices and Its Application to Inverse Eigenvalue Problems
2368 -- 2394C. Bernardi, T. Chacón Rebollo, Roger Lewandowski, F. Murat. A Model for Two Coupled Turbulent Fluids Part II: Numerical Analysis of a Spectral Discretization

Volume 40, Issue 5

1605 -- 1631Kent-André Mardal, Xue-Cheng Tai, Ragnar Winther. A Robust Finite Element Method for Darcy-Stokes Flow
1632 -- 1649Mohamed Amara, Daniela Capatina-Papaghiuc, Amna Chatti. Bending Moment Mixed Method for the Kirchhoff-Love Plate Model
1650 -- 1665Ian H. Sloan, Frances Y. Kuo, Stephen Joe. Constructing Randomly Shifted Lattice Rules in Weighted Sobolev Spaces
1666 -- 1682John P. Boyd. Computing Zeros on a Real Interval through Chebyshev Expansion and Polynomial Rootfinding
1683 -- 1697Weimin Han, Lie-heng Wang. Nonconforming Finite Element Analysis for a Plate Contact Problem
1698 -- 1715Eleanor W. Jenkins, Béatrice Rivière, Mary F. Wheeler. A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation
1763 -- 1774Guang-Ze Gu, Dong-Hui Li, Liqun Qi, Shu-Zi Zhou. Descent Directions of Quasi-Newton Methods for Symmetric Nonlinear Equations
1775 -- 1797Martin Burger, Wolfram Mühlhuber. Numerical Approximation of an SQP-Type Method for Parameter Identification
1798 -- 1822Daniele Bertaccini. The Spectrum of Circulant-Like Preconditioners for Some General Linear Multistep Formulas for Linear Boundary Value Problems
1823 -- 1849Alfredo Bermúdez, Rodolfo Rodríguez, Pilar Salgado. A Finite Element Method with Lagrange Multipliers for Low-Frequency Harmonic Maxwell Equations
1850 -- 1869Wenbin Liu, Ningning Yan. A Posteriori Error Estimates for Control Problems Governed by Stokes Equations
1870 -- 1895Wenbin Liu, Ningning Yan. On Quasi-Norm Interpolation Error Estimation And A Posteriori Error Estimates for p-Laplacian
1896 -- 1939Micha Janssen, Pascal Van Hentenryck, Yves Deville. A Constraint Satisfaction Approach for Enclosing Solutions to Parametric Ordinary Differential Equations
1940 -- 1967Heinz-Otto Kreiss, N. Anders Petersson, Jacob Yström. Difference Approximations for the Second Order Wave Equation
1968 -- 1992Philippe G. LeFloch, J. M. Mercier, C. Rohde. Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
1993 -- 2006Thomas Apel, Joachim Schöberl. Multigrid Methods for Anisotropic Edge Refinement

Volume 40, Issue 4

1207 -- 1229Eberhard Bänsch, Pedro Morin, Ricardo H. Nochetto. An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition
1230 -- 1262Stephan Dahlke, Wolfgang Dahmen, Karsten Urban. Adaptive Wavelet Methods for Saddle Point Problems - Optimal Convergence Rates
1263 -- 1280Bjørn-Ove Heimsund, Xue-Cheng Tai, Junping Wang. Superconvergence for the Gradient of Finite Element Approximations by ::::L:::::::2::: Projections
1281 -- 1310Peter A. Markowich, Paola Pietra, Carsten Pohl, Hans Peter Stimming. A Wigner-Measure Analysis of the Dufort-Frankel Scheme for the Schrödinger Equation
1311 -- 1329Gabriel J. Lord, Jacques Rougemont. Topological and Epsilon-Entropy for Large Volume Limits of Discretized Parabolic Equations
1330 -- 1353Boualem Khouider, Anne Bourlioux. Computing the Effective Hamiltonian in the Majda-Souganidis Model of Turbulent Premixed Flames
1354 -- 1368Di-Rong Chen. Construction of Smooth Refinable Function Vectors by Cascade Algorithms
1369 -- 1404Tony F. Chan, Hao-Min Zhou. ENO-Wavelet Transforms for Piecewise Smooth Functions
1405 -- 1420J. M. Marbán, C. Palencia. A New Numerical Method for Backward Parabolic Problems in the Maximum-Norm Setting
1421 -- 1445Qiang Du, Tianyu Zhang. Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises
1446 -- 1474Muruhan Rathinam, Linda R. Petzold. Dynamic Iteration Using Reduced Order Models: A Method for Simulation of Large Scale Modular Systems
1475 -- 1490Amiya Kumar Pani, Graeme Fairweather. An ::::H:::::::1:::-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term
1491 -- 1515Zhangxin Chen, Richard E. Ewing, Qiaoyuan Jiang, Anna Maria Spagnuolo. Error Analysis for Characteristics-Based Methods for Degenerate Parabolic Problems
1516 -- 1537Kevin Burrage, Tianhai Tian. Predictor-Corrector Methods of Runge-Kutta Type for Stochastic Differential Equations
1538 -- 1560Richard E. Ewing, Yanping Lin, Tong Sun, Junping Wang, Shuhua Zhang. Sharp ::::L:::::::2:::-Error Estimates and Superconvergence of Mixed Finite Element Methods for Non-Fickian Flows in Porous Media
1561 -- 1582Mohamed Amara, Daniela Capatina-Papaghiuc, Amna Chatti. New Locking-Free Mixed Method for the Reissner-Mindlin Thin Plate Model
1583 -- 1604G. N. Milstein, Yu. M. Repin, M. V. Tretyakov. Numerical Methods for Stochastic Systems Preserving Symplectic Structure

Volume 40, Issue 3

805 -- 819Javier de Frutos, Julia Novo. Postprocessing the Linear Finite Element Method
820 -- 871Daniel Michelson. Stability of Discrete Shocks for Difference Approximations to Systems of Conservation Laws
872 -- 890Johannes Schropp. Geometric Properties of Runge-Kutta Discretizations for Index 2 Differential Algebraic Equations
891 -- 913A. Klar, A. Unterreiter. Uniform Stability of a Finite Difference Scheme for Transport Equations in Diffusive Regimes
914 -- 927Todd F. Dupont, Yingjie Liu. Symmetric Error Estimates for Moving Mesh Galerkin Methods for Advection-Diffusion Equations
928 -- 944Sven Beuchler. Multigrid Solver for the Inner Problem in Domain Decomposition Methods for ::::p::::-FEM
945 -- 964Tatsuyuki Nakaki, Kenji Tomoeda. A Finite Difference Scheme for Some Nonlinear Diffusion Equations in an Absorbing Medium: Support Splitting Phenomena
965 -- 994Mila Nikolova. Minimizers of Cost-Functions Involving Nonsmooth Data-Fidelity Terms. Application to the Processing of Outliers
995 -- 1020V. John, W. J. Layton. Analysis of Numerical Errors in Large Eddy Simulation
1021 -- 1040Christophe Hazard, Stephanie Lohrengel. A Singular Field Method for Maxwell s Equations: Numerical Aspects for 2D Magnetostatics
1041 -- 1063Desmond J. Higham, Xuerong Mao, Andrew M. Stuart. Strong Convergence of Euler-Type Methods for Nonlinear Stochastic Differential Equations
1064 -- 1076Bruce P. Ayati, Todd F. Dupont. Galerkin Methods in Age and Space for a Population Model with Nonlinear Diffusion
1077 -- 1099George C. Donovan, Jeffrey S. Geronimo, Douglas P. Hardin. Squeezable Orthogonal Bases: Accuracy and Smoothness
1100 -- 1135Snorre H. Christiansen, Jean-Claude Nédélec. A Preconditioner for the Electric Field Integral Equation Based on Calderon Formulas
1136 -- 1183Adam Szpiro, Paul Dupuis. Second Order Numerical Methods for First Order Hamilton-Jacobi Equations
1184 -- 1205Ben Schweizer. A Stable Time Discretization of the Stefan Problem with Surface Tension

Volume 40, Issue 2

403 -- 415So-Hsiang Chou, Do Y. Kwak, Kwang Y. Kim. Flux Recovery from Primal Hybrid Finite Element Methods
416 -- 430Klaus Böhmer, Dása Janovská, Vladimír Janovský. On the Numerical Analysis of the Imperfect Bifurcation of codim <= 3
431 -- 450Arturo Kohatsu-Higa, Roger Pettersson. Variance Reduction Methods for Simulation of Densities on Wiener Space
451 -- 468Moulay D. Tidriri. Convergence Analysis of a Transmission Algorithm for Convection-Diffusion Problems
469 -- 491Raymond J. Spiteri, Steven J. Ruuth. A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
492 -- 515K. Kunisch, Stefan Volkwein. Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
516 -- 542Luca Dieci, Erik S. Van Vleck. Lyapunov Spectral Intervals: Theory and Computation
543 -- 577Li-Qun Cao, Jun-zhi Cui, De-Chao Zhu. Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients Over General Convex Domains
578 -- 600Tien-Yien Li, Xiaoshen Wang, Mengnien Wu. Numerical Schubert Calculus by the Pieri Homotopy Algorithm
601 -- 628Yves Achdou. The Mortar Element Method with Overlapping Subdomains
629 -- 650Koen Engelborghs, Dirk Roose. On Stability of LMS Methods and Characteristic Roots of Delay Differential Equations
651 -- 682Boris N. Azarenok. Variational Barrier Method of Adaptive Grid Generation in Hyperbolic Problems of Gas Dynamics
683 -- 701K. Böhmer, C. Geiger, J. D. Rodriguez. On a Numerical Liapunov-Schmidt Spectral Method and Its Application to Biological Pattern Formation
702 -- 733Laetitia Paoli, Michelle Schatzman. A Numerical Scheme for Impact Problems I: The One-Dimensional Case
734 -- 768Laetitia Paoli, Michelle Schatzman. A Numerical Scheme for Impact Problems II: The Multidimensional Case
769 -- 791Jue Yan, Chi-Wang Shu. A Local Discontinuous Galerkin Method for KdV Type Equations
792 -- 804Chris Perkins. A Convergence Analysis of Dykstra s Algorithm for Polyhedral Sets

Volume 40, Issue 1

1 -- 25Gisèle M. Mophou, Pascal Poullet. A Split Godunov Scheme for Solving One-Dimensional Hyperbolic Systems in a Nonconservative Form
26 -- 40Christophe Besse, Brigitte Bidégaray, Stéphane Descombes. Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation
41 -- 65Ralf Hiptmair. Symmetric Coupling for Eddy Current Problems
66 -- 86Ralf Hiptmair, C. Schwab. Natural Boundary Element Methods for the Electric Field Integral Equation on Polyhedra
87 -- 113Erika Hausenblas. Error Analysis for Approximation of Stochastic Differential Equations Driven by Poisson Random Measures
114 -- 133Javier Segura. The Zeros of Special Functions from a Fixed Point Method
134 -- 158Isaías Alonso-Mallo, Nuria Reguera. Weak Ill-Posedness of Spatial Discretizations of Absorbing Boundary Conditions for Schrödinger-Type Equations
159 -- 179Axel Klawonn, Olof B. Widlund, Maksymilian Dryja. Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients
180 -- 197K. Arunakirinathar, B. D. Reddy. A Stable Affine-Approximate Finite Element Method
198 -- 219G. C. Hsiao, P. B. Monk, N. Nigam. Error Analysis of a Finite Element-Integral Equation Scheme for Approximating the Time-Harmonic Maxwell System
220 -- 232Radu Serban, Linda R. Petzold. Efficient Computation of Sensitivities for Ordinary Differential Equation Boundary Value Problems
233 -- 253Ekkehard W. Sachs, Stefan Volkwein. Augmented Lagrange-SQP Methods with Lipschitz-Continuous Lagrange Multiplier Updates
254 -- 281Howard C. Elman, Alison Ramage. An Analysis of Smoothing Effects of Upwinding Strategies for the Convection-Diffusion Equation
282 -- 306K. Chrysafinos, L. S. Hou. Error Estimates for Semidiscrete Finite Element Approximations of Linear and Semilinear Parabolic Equations Under Minimal Regularity Assumptions
307 -- 318Zhiqiang Cai, Byeong-Chun Shin. The Discrete First-Order System Least Squares: The Second-Order Elliptic Boundary Value Problem
319 -- 343Bernardo Cockburn, Guido Kanschat, Dominik Schötzau, Christoph Schwab. Local Discontinuous Galerkin Methods for the Stokes System
344 -- 375Zhongying Chen, Charles A. Micchelli, Yuesheng Xu. Fast Collocation Methods for Second Kind Integral Equations
376 -- 401Luca Formaggia, Jean-Frédéric Gerbeau, F. Nobile, Alfio Quarteroni. Numerical Treatment of Defective Boundary Conditions for the Navier-Stokes Equations