SIAM Journal on Numerical Analysis, Volume 41
Volume 41, Number 1, 2003
- Eric T. Chung, Qiang Du, Jun Zou: Convergence Analysis of a Finite Volume Method for Maxwell's Equations in Nonhomogeneous Media. 37-63
- Christian A. Ringhofer: A Mixed Spectral-Difference Method for the Steady State Boltzmann-Poisson System. 64-89
- Jean-Luc Guermond, Jie Shen: Velocity-Correction Projection Methods for Incompressible Flows. 112-134
- François Bouchut, Shi Jin, Xiantao Li: Numerical Approximations of Pressureless and Isothermal Gas Dynamics. 135-158
- T. von Petersdorff, C. Schwab: Wavelet Discretizations of Parabolic Integrodifferential Equations. 159-180
- Z. Cai, R. R. Parashkevov, T. F. Russell, J. D. Wilson, X. Ye: Domain Decomposition for a Mixed Finite Element Method in Three Dimensions. 181-194
- Andrei Bourchtein, Vladimir Kadychnikov: Well Posedness of the Initial Value Problem for Vertically Discretized Hydrostatic Equations. 195-207
- Stephen Roberts, Markus Hegland, Irfan Altas: Approximation of a Thin Plate Spline Smoother Using Continuous Piecewise Polynomial Functions. 208-234
- Weiming Cao, Ricardo Carretero-González, Weizhang Huang, Robert D. Russell: Variational Mesh Adaptation Methods for Axisymmetrical Problems. 235-257
- E. E. Ovtchinnikov: Convergence Estimates for the Generalized Davidson Method for Symmetric Eigenvalue Problems I: The Preconditioning Aspect. 258-271
- E. E. Ovtchinnikov: Convergence Estimates for the Generalized Davidson Method for Symmetric Eigenvalue Problems II: The Subspace Acceleration. 272-286
- Sergey Asvadurov, Vladimir Druskin, Murthy N. Guddati, Leonid Knizhnerman: On Optimal Finite-Difference Approximation of PML. 287-305
- Susanne C. Brenner: Poincaré-Friedrichs Inequalities for Piecewise H1 Functions. 306-324
- James A. Sethian, Alexander Vladimirsky: Ordered Upwind Methods for Static Hamilton-Jacobi Equations: Theory and Algorithms. 325-363
- Yanzhao Cao, Terry Herdman, Yuesheng Xu: A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels. 364-381
- K. Guittet: On the Time-Continuous Mass Transport Problem and Its Approximation by Augmented Lagrangian Techniques. 382-399
Volume 41, Number 2, 2003
- Eusebius J. Doedel, Willy Govaerts, Yuri A. Kuznetsov: Computation of Periodic Solution Bifurcations in ODEs Using Bordered Systems. 401-435
- Petr Knobloch, Lutz Tobiska: The P1mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems. 436-456
- Vincent J. Ervin, William W. Miles: Approximation of Time-Dependent Viscoelastic Fluid Flow: SUPG Approximation. 457-486
- Huazhong Tang, Tao Tang: Adaptive Mesh Methods for One- and Two-Dimensional Hyperbolic Conservation Laws. 487-515
- Bosko S. Jovanovic, Lubin G. Vulkov: On the Convergence of Difference Schemes for Hyperbolic Problems with Concentrated Data. 516-538
- Francis Filbet, Philippe Laurençot: Numerical Approximation of the Lifshitz-Slyozov-Wagner Equation. 563-588
- Rakhim Aitbayev, Bernard Bialecki: A Preconditioned Conjugate Gradient Method for Nonselfadjoint or Indefinite Orthogonal Spline Collocation Problems. 589-604
- Willem Hundsdorfer, Steven J. Ruuth, Raymond J. Spiteri: Monotonicity-Preserving Linear Multistep Methods. 605-623
- Chunjae Park, Dongwoo Sheen: P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems. 624-640
- Laurent Gosse, Giuseppe Toscani: Space Localization and Well-Balanced Schemes for Discrete Kinetic Models in Diffusive Regimes. 641-658
- Hua Wu, Heping Ma, Huiyuan Li: Optimal Error Estimates of the Chebyshev-Legendre Spectral Method for Solving the Generalized Burgers Equation. 659-672
- Yen-Hsi Richard Tsai, Li-Tien Cheng, Stanley Osher, Hong-Kai Zhao: Fast Sweeping Algorithms for a Class of Hamilton-Jacobi Equations. 673-694
- Len G. Margolin, Edriss S. Titi, Shannon Wynne: The Postprocessing Galerkin and Nonlinear Galerkin Methods - A Truncation Analysis Point of View. 695-714
- Zhiqiang Cai, Gerhard Starke: First-Order System Least Squares for the Stress-Displacement Formulation: Linear Elasticity. 715-730
- Mark Ainsworth, Joe Coyle: Conditioning of Hierarchic p-Version Nédélec Elements on Meshes of Curvilinear Quadrilaterals and Hexahedra. 731-750
- Yuan Xu: Polynomial Interpolation on the Unit Sphere. 751-766
- Qiang Du, Ben-yu Guo, Jie Shen: Corrigendum: Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals. 796-798
Volume 41, Number 3, 2003
- Zhiming Chen, Haijun Wu: An Adaptive Finite Element Method with Perfectly Matched Absorbing Layers for the Wave Scattering by Periodic Structures. 799-826
- Amparo Gil, Javier Segura: Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs. 827-855
- Carl de Boor: A Leibniz Formula for Multivariate Divided Differences. 856-868
- Andreas Rieder, Adel Faridani: The Semidiscrete Filtered Backprojection Algorithm Is Optimal for Tomographic Inversion. 869-892
- Marsha J. Berger, Christiane Helzel, Randall J. LeVeque: H-Box Methods for the Approximation of Hyperbolic Conservation Laws on Irregular Grids. 893-918
- Ralf Hiptmair: Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering. 919-944
- Marlis Hochbruck, Christian Lubich: On Magnus Integrators for Time-Dependent Schrödinger Equations. 945-963
- Qingping Deng: An Optimal Parallel Nonoverlapping Domain Decomposition Iterative Procedure. 964-982
- Richard E. Groff, Pramod P. Khargonekar, Daniel E. Koditschek: A Local Convergence Proof for the Minvar Algorithm for Computing Continuous Piecewise Linear Approximations. 983-1007
- J. Frédéric Bonnans, Housnaa Zidani: Consistency of Generalized Finite Difference Schemes for the Stochastic HJB Equation. 1008-1021
- J. M. Peña: Scaled Pivots and Scaled Partial Pivoting Strategies. 1022-1031
- Charalambos Makridakis, Benoit Perthame: Sharp CFL, Discrete Kinetic Formulation, and Entropic Schemes for Scalar Conservation Laws. 1032-1051
- Lori Badea, Xue-Cheng Tai, Junping Wang: Convergence Rate Analysis of a Multiplicative Schwarz Method for Variational Inequalities. 1052-1073
- Rob Stevenson: Adaptive Solution of Operator Equations Using Wavelet Frames. 1074-1100
- Yanren Hou, Kaitai Li: A Small Eddy Correction Method for Nonlinear Dissipative Evolutionary Equations. 1101-1130
- Stefano Micheletti, Simona Perotto, Marco Picasso: Stabilized Finite Elements on Anisotropic Meshes: A Priori Error Estimates for the Advection-Diffusion and the Stokes Problems. 1131-1162
- Roger Samelson, Roger Temam, Cheng Wang, Shouhong Wang: Surface Pressure Poisson Equation Formulation of the Primitive Equations: Numerical Schemes. 1163-1194
Volume 41, Number 4, 2003
- Leszek F. Demkowicz, Ivo Babuska: p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions. 1195-1208
- Xiao-Chuan Cai, Maksymilian Dryja, Marcus Sarkis: Restricted Additive Schwarz Preconditioners with Harmonic Overlap for Symmetric Positive Definite Linear Systems. 1209-1231
- Eduardo Cuesta, Cesar Palencia: A Numerical Method for an Integro-Differential Equation with Memory in Banach Spaces: Qualitative Properties. 1232-1241
- János Karátson, István Faragó: Variable Preconditioning via Quasi-Newton Methods for Nonlinear Problems in Hilbert Space. 1242-1262
- Yinnian He: Two-Level Method Based on Finite Element and Crank-Nicolson Extrapolation for the Time-Dependent Navier-Stokes Equations. 1263-1285
- Claude-Henri Lamarque, Jérôme Bastien, Matthieu Holland: Study of a Maximal Monotone Model with a Delay Term. 1286-1300
- Anthony Michel: A Finite Volume Scheme for Two-Phase Immiscible Flow in Porous Media. 1301-1317
- Hongsen Chen, Junping Wang: An Interior Estimate of Superconvergence for Finite Element Solutions for Second-Order Elliptic Problems on Quasi-uniform Meshes by Local Projections. 1318-1338
- Steve Bryson, Doron Levy: High-Order Central WENO Schemes for Multidimensional Hamilton-Jacobi Equations. 1339-1369
- Sang Dong Kim, Hyung-Chun Lee, Byeong-Chun Shin: Pseudospectral Least-Squares Method for the Second-Order Elliptic Boundary Value Problem. 1370-1387
- Arnold Reusken: Convergence Analysis of the Gauss-Seidel Preconditioner for Discretized One Dimensional Euler Equations. 1388-1405
- Weizhu Bao, Dieter Jaksch: An Explicit Unconditionally Stable Numerical Method for Solving Damped Nonlinear Schrödinger Equations with a Focusing Nonlinearity. 1406-1426
- John W. Barrett, Harald Garcke, Robert Nürnberg: Finite Element Approximation of Surfactant Spreading on a Thin Film. 1427-1464
- Frances Y. Kuo, Stephen Joe: Component-By-Component Construction of Good Intermediate-Rank Lattice Rules. 1465-1486
- M. I. M. Copetti, D. A. French: Numerical Solution of a Thermoviscoelastic Contact Problem by a Penalty Method. 1487-1504
- Francesca Rapetti, François Dubois, Alain Bossavit: Discrete Vector Potentials for Nonsimply Connected Three-Dimensional Domains. 1505-1527
- Giancarlo Sangalli: Quasi Optimality of the SUPG Method for the One-Dimensional Advection-Diffusion Problem. 1528-1542
- Philipp Kügler: Identification of a Temperature Dependent Heat Conductivity from Single Boundary Measurements. 1543-1563
- Jörg Büttner, Bernd Simeon: Time Integration of the Dual Problem of Elastoplasticity by Runge-Kutta Methods. 1564-1584
- Charalambos Makridakis, Ricardo H. Nochetto: Elliptic Reconstruction and a Posteriori Error Estimates for Parabolic Problems. 1585-1594
Volume 41, Number 5, 2003
- Jie Shen: A New Dual-Petrov-Galerkin Method for Third and Higher Odd-Order Differential Equations: Application to the KDV Equation. 1595-1619
- Martin Stynes, Lutz Tobiska: The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy. 1620-1642
- Martin J. Gander, Laurence Halpern, Frédéric Nataf: Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation. 1643-1681
- Bernard Bialecki, Maksymilian Dryja: A Nonoverlapping Domain Decomposition Method for Orthogonal Spline Collocation Problems. 1709-1728
- Salim Meddahi, Antonio Márquez, Virginia Selgás: Computing Acoustic Waves in an Inhomogeneous Medium of the Plane by a Coupling of Spectral and Finite Elements. 1729-1750
- Ricardo G. Durán, Erwin Hernández, Luis Hervella-Nieto, Elsa Liberman, Rodolfo Rodríguez: Error Estimates for Low-Order Isoparametric Quadrilateral Finite Elements for Plates. 1751-1772
- Om Prakash Agrawal, John Gregory: O(h2) Global Pointwise Algorithms for Delay Quadratic Problems in the Calculus of Variations. 1773-1784
- Albert Cohen, Wolfgang Dahmen, Ronald A. DeVore: Adaptive Wavelet Schemes for Nonlinear Variational Problems. 1785-1823
- Isaías Alonso-Mallo, Nuria Reguera: Discrete Absorbing Boundary Conditions for Schrödinger-Type Equations. Construction and Error Analysis. 1824-1850
- Natalia Kopteva: Error Expansion for an Upwind Scheme Applied to a Two-Dimensional Convection-Diffusion Problem. 1851-1869
- Giuseppe Mastroianni, G. Monegato: Truncated Quadrature Rules Over (0, INFINITY) and Nyström-Type Methods. 1870-1892
- James Glimm, Xiaolin Li, Yingjie Liu, Zhiliang Xu, Ning Zhao: Conservative Front Tracking with Improved Accuracy. 1926-1947
- Wayne B. Hayes, Kenneth R. Jackson: Rigorous Shadowing of Numerical Solutions of Ordinary Differential Equations by Containment. 1948-1973
- Gabriel N. Gatica, Helmut Harbrecht, Reinhold Schneider: Least Squares Methods for the Coupling of FEM and BEM. 1974-1995
Volume 41, Number 6, 2003
- Jérôme Droniou, Thierry Gallouët, Raphaèle Herbin: A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data. 1997-2031
- Francesca Fierro, Andreas Veeser: A Posteriori Error Estimators for Regularized Total Variation of Characteristic Functions. 2032-2055
- Houde Han, Xiaonan Wu: A Fast Numerical Method for the Black-Scholes Equation of American Options. 2081-2095
- Lars Grüne: Attraction Rates, Robustness, and Discretization of Attractors. 2096-2113
- Huo-Yuan Duan, Guo-Ping Liang: On the Velocity-Pressure-Vorticity Least-Squares Mixed Finite Element Method for the 3D Stokes Equations. 2114-2130
- Malin Siklosi, Gunilla Kreiss: Elimination of First Order Errors in Time Dependent Shock Calculations. 2131-2148
- Alfred H. Schatz, Lars B. Wahlbin: Pointwise Error Estimates for Differences in Piecewise Linear Finite Element Approximations. 2149-2160
- Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott: Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces. 2161-2179
- Jukka Sarvas: Performing Interpolation and Anterpolation Entirely by Fast Fourier Transform in the 3-D Multilevel Fast Multipole Algorithm. 2180-2196
- A. L. Codd, Thomas A. Manteuffel, Stephen F. McCormick: Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations. 2197-2209
- A. L. Codd, Thomas A. Manteuffel, Stephen F. McCormick, John Ruge: Multilevel First-Order System Least Squares for Elliptic Grid Generation. 2210-2232
- Rémi Abgrall: Numerical Discretization of Boundary Conditions for First Order Hamilton-Jacobi Equations. 2233-2261
- Anthony Michel, Julien Vovelle: Entropy Formulation for Parabolic Degenerate Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV Methods. 2262-2293
- Randolph E. Bank, Jinchao Xu: Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence. 2294-2312
- Randolph E. Bank, Jinchao Xu: Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids. 2313-2332
- Weizhang Huang, Heping Ma, Weiwei Sun: Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation. 2333-2349
- R. Baker Kearfott, Jianwei Dian: Existence Verification for Higher Degree Singular Zeros of Nonlinear Systems. 2350-2373
- Ohannes A. Karakashian, Frédéric Pascal: A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems. 2374-2399
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