Journal: SIAM J. Numerical Analysis

Volume 41, Issue 6

1997 -- 2031Jérôme Droniou, Thierry Gallouët, Raphaèle Herbin. A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data
2032 -- 2055Francesca Fierro, Andreas Veeser. A Posteriori Error Estimators for Regularized Total Variation of Characteristic Functions
2056 -- 2080W. Guo, L. S. Hou. Generalizations and Accelerations of Lions Nonoverlapping Domain Decomposition Method for Linear Elliptic PDE
2081 -- 2095Houde Han, Xiaonan wu. A Fast Numerical Method for the Black-Scholes Equation of American Options
2096 -- 2113Lars Grüne. Attraction Rates, Robustness, and Discretization of Attractors
2114 -- 2130Huo-Yuan Duan, Guo-Ping Liang. On the Velocity-Pressure-Vorticity Least-Squares Mixed Finite Element Method for the 3D Stokes Equations
2131 -- 2148Malin Siklosi, Gunilla Kreiss. Elimination of First Order Errors in Time Dependent Shock Calculations
2149 -- 2160Alfred H. Schatz, Lars B. Wahlbin. Pointwise Error Estimates for Differences in Piecewise Linear Finite Element Approximations
2161 -- 2179Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott. Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces
2180 -- 2196Jukka Sarvas. Performing Interpolation and Anterpolation Entirely by Fast Fourier Transform in the 3-D Multilevel Fast Multipole Algorithm
2197 -- 2209A. L. Codd, Thomas A. Manteuffel, Stephen F. McCormick. Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations
2210 -- 2232A. L. Codd, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge. Multilevel First-Order System Least Squares for Elliptic Grid Generation
2233 -- 2261Rémi Abgrall. Numerical Discretization of Boundary Conditions for First Order Hamilton-Jacobi Equations
2262 -- 2293Anthony Michel, Julien Vovelle. Entropy Formulation for Parabolic Degenerate Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV Methods
2294 -- 2312Randolph E. Bank, Jinchao Xu. Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
2313 -- 2332Randolph E. Bank, Jinchao Xu. Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids
2333 -- 2349Weizhang Huang, Heping Ma, Weiwei Sun. Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation
2350 -- 2373R. Baker Kearfott, Jianwei Dian. Existence Verification for Higher Degree Singular Zeros of Nonlinear Systems
2374 -- 2399Ohannes A. Karakashian, Frédéric Pascal 0002. A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems

Volume 41, Issue 5

1595 -- 1619Jie Shen. A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation
1620 -- 1642Martin Stynes, Lutz Tobiska. The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy
1643 -- 1681Martin J. Gander, Laurence Halpern, Frédéric Nataf. Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
1682 -- 1708Qiya Hu, Jun Zou. A Nonoverlapping Domain Decomposition Method for Maxwell s Equations in Three Dimensions
1709 -- 1728Bernard Bialecki, Maksymilian Dryja. A Nonoverlapping Domain Decomposition Method for Orthogonal Spline Collocation Problems
1729 -- 1750Salim Meddahi, Antonio Márquez, Virginia Selgás. Computing Acoustic Waves in an Inhomogeneous Medium of the Plane by a Coupling of Spectral and Finite Elements
1751 -- 1772Ricardo G. Durán, Erwin Hernández, Luis Hervella-Nieto, Elsa Liberman, Rodolfo Rodríguez. Error Estimates for Low-Order Isoparametric Quadrilateral Finite Elements for Plates
1773 -- 1784Om Prakash Agrawal, John Gregory. ::::O::::(::::h:::::::2:::) Global Pointwise Algorithms for Delay Quadratic Problems in the Calculus of Variations
1785 -- 1823Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore. Adaptive Wavelet Schemes for Nonlinear Variational Problems
1824 -- 1850Isaías Alonso-Mallo, Nuria Reguera. Discrete Absorbing Boundary Conditions for Schrödinger-Type Equations. Construction and Error Analysis
1851 -- 1869Natalia Kopteva. Error Expansion for an Upwind Scheme Applied to a Two-Dimensional Convection-Diffusion Problem
1870 -- 1892Giuseppe Mastroianni, G. Monegato. Truncated Quadrature Rules Over (0, INFINITY) and Nyström-Type Methods
1893 -- 1925Muruhan Rathinam, Linda R. Petzold. A New Look at Proper Orthogonal Decomposition
1926 -- 1947James Glimm, Xiaolin Li, Yingjie Liu, Zhiliang Xu, Ning Zhao. Conservative Front Tracking with Improved Accuracy
1948 -- 1973Wayne B. Hayes, Kenneth R. Jackson. Rigorous Shadowing of Numerical Solutions of Ordinary Differential Equations by Containment
1974 -- 1995Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider. Least Squares Methods for the Coupling of FEM and BEM

Volume 41, Issue 4

1195 -- 1208Leszek F. Demkowicz, Ivo Babuska. ::::p:::: Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions
1209 -- 1231Xiao-Chuan Cai, Maksymilian Dryja, Marcus Sarkis. Restricted Additive Schwarz Preconditioners with Harmonic Overlap for Symmetric Positive Definite Linear Systems
1232 -- 1241Eduardo Cuesta, Cesar Palencia. A Numerical Method for an Integro-Differential Equation with Memory in Banach Spaces: Qualitative Properties
1242 -- 1262János Karátson, István Faragó. Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space
1263 -- 1285Yinnian He. Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations
1286 -- 1300Claude-Henri Lamarque, Jérôme Bastien, Matthieu Holland. Study of a Maximal Monotone Model with a Delay Term
1301 -- 1317Anthony Michel. A Finite Volume Scheme for Two-Phase Immiscible Flow in Porous Media
1318 -- 1338Hongsen Chen, Junping Wang. An Interior Estimate of Superconvergence for Finite Element Solutions for Second-Order Elliptic Problems on Quasi-uniform Meshes by Local Projections
1339 -- 1369Steve Bryson, Doron Levy. High-Order Central WENO Schemes for Multidimensional Hamilton-Jacobi Equations
1370 -- 1387Sang Dong Kim, Hyung-Chun Lee, Byeong-Chun Shin. Pseudospectral Least-Squares Method for the Second-Order Elliptic Boundary Value Problem
1388 -- 1405Arnold Reusken. Convergence Analysis of the Gauss-Seidel Preconditioner for Discretized One Dimensional Euler Equations
1406 -- 1426Weizhu Bao, Dieter Jaksch. An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity
1427 -- 1464John W. Barrett, Harald Garcke, Robert Nürnberg. Finite Element Approximation of Surfactant Spreading on a Thin Film
1465 -- 1486Frances Y. Kuo, Stephen Joe. Component-By-Component Construction of Good Intermediate-Rank Lattice Rules
1487 -- 1504M. I. M. Copetti, D. A. French. Numerical Solution of a Thermoviscoelastic Contact Problem by a Penalty Method
1505 -- 1527Francesca Rapetti, François Dubois, Alain Bossavit. Discrete Vector Potentials for Nonsimply Connected Three-Dimensional Domains
1528 -- 1542Giancarlo Sangalli. Quasi Optimality of the SUPG Method for the One-Dimensional Advection-Diffusion Problem
1543 -- 1563Philipp Kügler. Identification of a Temperature Dependent Heat Conductivity from Single Boundary Measurements
1564 -- 1584Jörg Büttner, Bernd Simeon. Time Integration of the Dual Problem of Elastoplasticity by Runge-Kutta Methods
1585 -- 1594Charalambos Makridakis, Ricardo H. Nochetto. Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems

Volume 41, Issue 3

799 -- 826Zhiming Chen, Haijun Wu. An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures
827 -- 855Amparo Gil, Javier Segura. Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs
856 -- 868Carl de Boor. A Leibniz Formula for Multivariate Divided Differences
869 -- 892Andreas Rieder, Adel Faridani. The Semidiscrete Filtered Backprojection Algorithm Is Optimal for Tomographic Inversion
893 -- 918Marsha J. Berger, Christiane Helzel, Randall J. LeVeque. ::::H::::-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids
919 -- 944Ralf Hiptmair. Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering
945 -- 963Marlis Hochbruck, Christian Lubich. On Magnus Integrators for Time-Dependent Schrödinger Equations
964 -- 982Qingping Deng. An Optimal Parallel Nonoverlapping Domain Decomposition Iterative Procedure
983 -- 1007Richard E. Groff, Pramod P. Khargonekar, Daniel E. Koditschek. A Local Convergence Proof for the Minvar Algorithm for Computing Continuous Piecewise Linear Approximations
1008 -- 1021J. Frédéric Bonnans, Housnaa Zidani. Consistency of Generalized Finite Difference Schemes for the Stochastic HJB Equation
1022 -- 1031J. M. Peña. Scaled Pivots and Scaled Partial Pivoting Strategies
1032 -- 1051Charalambos Makridakis, Benoit Perthame. Sharp CFL, Discrete Kinetic Formulation, and Entropic Schemes for Scalar Conservation Laws
1052 -- 1073Lori Badea, Xue-Cheng Tai, Junping Wang. Convergence Rate Analysis of a Multiplicative Schwarz Method for Variational Inequalities
1074 -- 1100Rob Stevenson. Adaptive Solution of Operator Equations Using Wavelet Frames
1101 -- 1130Yanren Hou, Kaitai Li. A Small Eddy Correction Method for Nonlinear Dissipative Evolutionary Equations
1131 -- 1162Stefano Micheletti, Simona Perotto, Marco Picasso. Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems
1163 -- 1194Roger Samelson, Roger Temam, Cheng Wang, Shouhong Wang. Surface Pressure Poisson Equation Formulation of the Primitive Equations: Numerical Schemes

Volume 41, Issue 2

401 -- 435Eusebius J. Doedel, Willy Govaerts, Yuri A. Kuznetsov. Computation of Periodic Solution Bifurcations in ODEs Using Bordered Systems
436 -- 456Petr Knobloch, Lutz Tobiska. The ::::P::::::1:::::mod::: Element: A New Nonconforming Finite Element for Convection-Diffusion Problems
457 -- 486Vincent J. Ervin, William W. Miles. Approximation of Time-Dependent Viscoelastic Fluid Flow: SUPG Approximation
487 -- 515Huazhong Tang, Tao Tang. Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws
516 -- 538Bosko S. Jovanovic, Lubin G. Vulkov. On the Convergence of Difference Schemes for Hyperbolic Problems with Concentrated Data
539 -- 562Robert Eymard, Thierry Gallouët. H-Convergence and Numerical Schemes for Elliptic Problems
563 -- 588Francis Filbet, Philippe Laurençot. Numerical Approximation of the Lifshitz-Slyozov-Wagner Equation
589 -- 604Rakhim Aitbayev, Bernard Bialecki. A Preconditioned Conjugate Gradient Method for Nonselfadjoint or Indefinite Orthogonal Spline Collocation Problems
605 -- 623Willem Hundsdorfer, Steven J. Ruuth, Raymond J. Spiteri. Monotonicity-Preserving Linear Multistep Methods
624 -- 640Chunjae Park, Dongwoo Sheen. ::::P::::::1::-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems
641 -- 658Laurent Gosse, Giuseppe Toscani. Space Localization and Well-Balanced Schemes for Discrete Kinetic Models in Diffusive Regimes
659 -- 672Hua Wu, Heping Ma, Huiyuan Li. Optimal Error Estimates of the Chebyshev-Legendre Spectral Method for Solving the Generalized Burgers Equation
673 -- 694Yen-Hsi Richard Tsai, Li-Tien Cheng, Stanley Osher, Hong-Kai Zhao. Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations
695 -- 714Len G. Margolin, Edriss S. Titi, Shannon Wynne. The Postprocessing Galerkin and Nonlinear Galerkin Methods - A Truncation Analysis Point of View
715 -- 730Zhiqiang Cai, Gerhard Starke. First-Order System Least Squares for the Stress-Displacement Formulation: Linear Elasticity
731 -- 750Mark Ainsworth, Joe Coyle. Conditioning of Hierarchic ::::p::::-Version Nédélec Elements on Meshes of Curvilinear Quadrilaterals and Hexahedra
751 -- 766Yuan Xu. Polynomial Interpolation on the Unit Sphere
767 -- 795Sang Dong Kim, Seymour V. Parter. Semicirculant Preconditioning of Elliptic Operators
796 -- 798Qiang Du, Ben-yu Guo, Jie Shen. Corrigendum: Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals

Volume 41, Issue 1

1 -- 36Boris N. Khoromskij, Jens Markus Melenk. Boundary Concentrated Finite Element Methods
37 -- 63Eric T. Chung, Qiang Du, Jun Zou. Convergence Analysis of a Finite Volume Method for Maxwell s Equations in Nonhomogeneous Media
64 -- 89Christian A. Ringhofer. A Mixed Spectral-Difference Method for the Steady State Boltzmann-Poisson System
90 -- 111Andrew Lumsdaine, Deyun Wu. Krylov Subspace Acceleration of Waveform Relaxation
112 -- 134Jean-Luc Guermond, Jie Shen. Velocity-Correction Projection Methods for Incompressible Flows
135 -- 158François Bouchut, Shi Jin, Xiantao Li. Numerical Approximations of Pressureless and Isothermal Gas Dynamics
159 -- 180T. von Petersdorff, C. Schwab. Wavelet Discretizations of Parabolic Integrodifferential Equations
181 -- 194Z. Cai, R. R. Parashkevov, T. F. Russell, J. D. Wilson, X. Ye. Domain Decomposition for a Mixed Finite Element Method in Three Dimensions
195 -- 207Andrei Bourchtein, Vladimir Kadychnikov. Well Posedness of the Initial Value Problem for Vertically Discretized Hydrostatic Equations
208 -- 234Stephen Roberts, Markus Hegland, Irfan Altas. Approximation of a Thin Plate Spline Smoother Using Continuous Piecewise Polynomial Functions
235 -- 257Weiming Cao, Ricardo Carretero-González, Weizhang Huang, Robert D. Russell. Variational Mesh Adaptation Methods for Axisymmetrical Problems
258 -- 271E. E. Ovtchinnikov. Convergence Estimates for the Generalized Davidson Method for Symmetric Eigenvalue Problems I: The Preconditioning Aspect
272 -- 286E. E. Ovtchinnikov. Convergence Estimates for the Generalized Davidson Method for Symmetric Eigenvalue Problems II: The Subspace Acceleration
287 -- 305Sergey Asvadurov, Vladimir Druskin, Murthy N. Guddati, Leonid Knizhnerman. On Optimal Finite-Difference Approximation of PML
306 -- 324Susanne C. Brenner. Poincaré-Friedrichs Inequalities for Piecewise ::::H:::::::1::: Functions
325 -- 363James A. Sethian, Alexander Vladimirsky. Ordered Upwind Methods for Static Hamilton-Jacobi Equations: Theory and Algorithms
364 -- 381Yanzhao Cao, Terry Herdman, Yuesheng Xu. A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels