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ORCIDSIAM Journal on Numerical Analysis, Volume 41
Volume 41, Number 1, 2003
- Boris N. Khoromskij, Jens Markus Melenk:
Boundary Concentrated Finite Element Methods. 1-36 - 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 - Andrew Lumsdaine, Deyun Wu:
Krylov Subspace Acceleration of Waveform Relaxation. 90-111 - 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 - Tobias von Petersdorff, Christoph Schwab:
Wavelet Discretizations of Parabolic Integrodifferential Equations. 159-180 - Zhiqiang Cai, Rossen R. Parashkevov, Thomas F. Russell, J. D. Wilson, Xiu 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 G. 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 - Evgueni E. Ovtchinnikov:
Convergence Estimates for the Generalized Davidson Method for Symmetric Eigenvalue Problems I: The Preconditioning Aspect. 258-271 - Evgueni 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 - Robert Eymard, Thierry Gallouët:
H-Convergence and Numerical Schemes for Elliptic Problems. 539-562 - 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 J. 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 - Sang Dong Kim, Seymour V. Parter:
Semicirculant Preconditioning of Elliptic Operators. 767-795 - 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 - Juan Manuel Peña:
Scaled Pivots and Scaled Partial Pivoting Strategies. 1022-1031 - Charalambos G. 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 P. 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, Donald 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 G. 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 - Qiya Hu, Jun Zou:
A Nonoverlapping Domain Decomposition Method for Maxwell's Equations in Three Dimensions. 1682-1708 - 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, Giovanni Monegato:
Truncated Quadrature Rules Over (0, INFINITY) and Nyström-Type Methods. 1870-1892 - Muruhan Rathinam, Linda R. Petzold:
A New Look at Proper Orthogonal Decomposition. 1893-1925 - 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 - Wuwen Guo, Li Sheng Hou:
Generalizations and Accelerations of Lions' Nonoverlapping Domain Decomposition Method for Linear Elliptic PDE. 2056-2080 - 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 W. 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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