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ORCIDSIAM Journal on Numerical Analysis, Volume 39
Volume 39, Number 1, 2001
- François Malgouyres, Frédéric Guichard:
Edge Direction Preserving Image Zooming: A Mathematical and Numerical Analysis. 1-37 - María Gabriela Armentano:
Error Estimates in Sobolev Spaces for Moving Least Square Approximations. 38-51 - Ahmed Noussair:
Riemann Problem with Nonlinear Resonance Effects and Well-Balanced Godunov Scheme for Shallow Fluid Flow Past an Obstacle. 52-72 - Wenbin Liu, Ningning Yan:
A Posteriori Error Estimates for Convex Boundary Control Problems. 73-99 - Wenbin Liu, Ningning Yan:
Quasi-Norm Local Error Estimators for p-Laplacian. 100-127 - Kenth Engø
, Stig Faltinsen:
Numerical Integration of Lie-Poisson Systems While Preserving Coadjoint Orbits and Energy. 128-145 - Andreas Veeser:
Efficient and Reliable A Posteriori Error Estimators for Elliptic Obstacle Problems. 146-167 - Ana Carpio, Pedro J. Hernando, Manuel Kindelan:
Numerical Study of Hyperbolic Equations with Integral Constraints Arising in Semiconductor Theory. 168-191 - Barbara I. Wohlmuth, Rolf H. Krause:
A Multigrid Method Based on the Unconstrained Product Space for Mortar Finite Element Discretizations. 192-213 - Andreas Prohl, Michael Ruzicka:
On Fully Implicit Space-Time Discretization for Motions of Incompressible Fluids with Shear-Dependent Viscosities: The Case p ≤ 2. 214-249 - Alexey F. Izmailov, Vladimir G. Karmanov, Alexey Tret'yakov:
Regularization of Linear Approximate Schemes by the Gradient Descent. 250-263 - Bernardo Cockburn, Guido Kanschat, Ilaria Perugia, Dominik Schötzau:
Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids. 264-285 - Zhiqiang Cai, Seokchan Kim:
A Finite Element Method Using Singular Functions for the Poisson Equation: Corner Singularities. 286-299 - Bernhard Beckermann, Arno B. J. Kuijlaars:
Superlinear Convergence of Conjugate Gradients. 300-329 - Seymour V. Parter:
Preconditioning Legendre Spectral Collocation Methods for Elliptic Problems I: Finite Difference Operators. 330-347 - Seymour V. Parter:
Preconditioning Legendre Spectral Collocation Methods for Elliptic Problems II: Finite Element Operators. 348-362
Volume 39, Number 2, 2001
- Ming Wang:
On the Necessity and Sufficiency of the Patch Test for Convergence of Nonconforming Finite Elements. 363-384 - Ansgar Jüngel:
A Positivity-Preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System. 385-406 - Marko Huhtanen:
A Matrix Nearness Problem Related to Iterative Methods. 407-422 - Natalia Kopteva:
Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem. 423-441 - Klaus Höllig, Ulrich Reif, Joachim Wipper:
Weighted Extended B-Spline Approximation of Dirichlet Problems. 442-462 - Andreas Frommer, Daniel B. Szyld:
An Algebraic Convergence Theory for Restricted Additive Schwarz Methods Using Weighted Max Norms. 463-479 - Ronald R. Coifman, Artur Sowa:
New Methods of Controlled Total Variation Reduction for Digital Functions. 480-498 - Espen R. Jakobsen, Kenneth H. Karlsen, Nils Henrik Risebro:
On the Convergence Rate ofOperator Splitting for Hamilton-Jacobi Equations with Source Terms. 499-518 - Chisup Kim, Raytcho D. Lazarov, Joseph E. Pasciak, Panayot S. Vassilevski:
Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions. 519-538 - Georgios Akrivis, Vassilios A. Dougalis, Georgios E. Zouraris:
Finite Difference Schemes for the "Parabolic" Equation in a Variable Depth Environment with a Rigid Bottom Boundary Condition. 539-565 - Jochen W. Schmidt, Marion Bastian, Bernd Mulansky:
Nonnegative Volume Matching by Cubic C1 Splines on Clough-Tocher Splits. 566-586 - Xue-Zhang Liang, Chunmei Lu, Renzhong Feng:
Properly Posed Sets of Nodes for Multivariate Lagrange Interpolation in Cs. 587-595 - Dolores Gómez Pedreira, Patrick Joly:
A Method for Computing Guided Waves in Integrated Optics. Part I: Mathematical Analysis. 596-623 - Frédéric Cao, Lionel Moisan:
Geometric Computation of Curvature Driven Plane Curve Evolutions. 624-646 - C. V. Pao:
Numerical Methods for Time-Periodic Solutions of Nonlinear Parabolic Boundary Value Problems. 647-667 - Gerd Kunert:
A Local Problem Error Estimator for Anisotropic Tetrahedral Finite Element Meshes. 668-689 - R. Bruce Kellogg, Martin Stynes:
n-Widths and Singularly Perturbed Boundary Value Problems II. 690-707 - Alexander Samarskii, Ivan P. Gavrilyuk, Volodymyr L. Makarov:
Stability and Regularization of Three-Level Difference Schemes with Unbounded Operator Coefficients in Banach Spaces. 708-723 - Sergey Korotov, Michal Krízek:
Acute Type Refinements of Tetrahedral Partitions of Polyhedral Domains. 724-733
Volume 39, Number 3, 2001
- Qiang Du, Ben-yu Guo, Jie Shen:
Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals. 735-762 - Nicola Guglielmi:
Asymptotic Stability Barriers for Natural Runge-Kutta Processes for Delay Equations. 763-783 - Serge Nicaise:
Edge Elements on Anisotropic Meshes and Approximation of the Maxwell Equations. 784-816 - Sean Norburn, David J. Silvester:
Fourier Analysis of Stabilized Q1 -Q1 Mixed Finite Element Approximation. 817-833 - Walter Allegretto, Yanping Lin, Hongtao Yang:
Finite Element Error Estimates for a Nonlocal Problem in American Option Valuation. 834-857 - Jozef Kacur:
Solution of Degenerate Convection-Diffusion Problems by the Method of Characteristics. 858-879 - Faker Ben Belgacem, Annalisa Buffa, Yvon Maday:
The Mortar Finite Element Method for 3D Maxwell Equations: First Results. 880-901 - Beatrice Riviere, Mary F. Wheeler, Vivette Girault:
A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems. 902-931 - Andrea Toselli, Axel Klawonn:
A FETI Domain Decomposition Method for Edge Element Approximations in Two Dimensions with Discontinuous Coefficients. 932-956 - Hermann Brunner, Arvet Pedas, Gennadi Vainikko:
Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels. 957-982 - Ole H. Hald, Raz Kupferman:
Convergence of Optimal Prediction for Nonlinear Hamiltonian Systems. 983-1000 - Junping Wang, Xiu Ye:
Superconvergence of Finite Element Approximations for the Stokes Problem by Projection Methods. 1001-1013 - Aihui Zhou:
An Analysis of Some High Accuracy Finite Element Methods for Hyperbolic Problems. 1014-1028 - Martin Burger:
Iterative Regularization of a Parameter Identification Problem Occurring in Polymer Crystallization. 1029-1055 - Qiang Du:
Optimization Based Nonoverlapping Domain Decomposition Algorithms and Their Convergence. 1056-1077 - Christian A. Ringhofer, Christian Schmeiser, Alexander Zwirchmayr:
Moment Methods for the Semiconductor Boltzmann Equation on Bounded Position Domains. 1078-1095
Volume 39, Number 4, 2001
- Leszek Marcinkowski:
Domain Decomposition Methods for Mortar Finite Element Discretizations of Plate Problems. 1097-1114 - Fabiana Leoni:
Convergence of an Approximation Scheme for Curvature-Dependent Motions of Sets. 1115-1131 - Ronald Cools, Erich Novak:
Spherical Product Algorithms and the Integration of Smooth Functions with One Singular Point. 1132-1145 - Francis Filbet:
Convergence of a Finite Volume Scheme for the Vlasov-Poisson System. 1146-1169 - So-Hsiang Chou, Do Y. Kwak, Kwang Y. Kim:
A General Framework for Constructing and Analyzing Mixed Finite Volume Methods on Quadrilateral Grids: The Overlapping Covolume Case. 1170-1196 - John D. Towers:
A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case. 1197-1218 - Christophe Buet, Stéphane Dellacherie, Rémi Sentis:
Numerical Solution of an Ionic Fokker-Planck Equation with Electronic Temperature. 1219-1253 - Ben-yu Guo, He-ping Ma, Eitan Tadmor:
Spectral Vanishing Viscosity Method For Nonlinear Conservation Laws. 1254-1268 - Marc Küther:
Error Estimates for the Staggered Lax-Friedrichs Scheme on Unstructured Grids. 1269-1301 - Mohammad Majidi, Gerhard Starke:
Least-Squares Galerkin Methods for Parabolic Problems I: Semidiscretization in Time. 1302-1323 - Remi Rocca, Marius Cocou:
Numerical Analysis of Quasi-Static Unilateral Contact Problems with Local Friction. 1324-1342 - Xiaobing Feng, Ohannes A. Karakashian:
Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems. 1343-1365 - Uwe Risch:
Convergence Analysis of the Residual Free Bubble Method for Bilinear Elements. 1366-1379 - Heping Ma, Weiwei Sun:
Optimal Error Estimates of the Legendre-Petrov-Galerkin Method for the Korteweg-de Vries Equation. 1380-1394 - Lorenzo Pareschi:
Central Differencing Based Numerical Schemes for Hyperbolic Conservation Laws with Relaxation Terms. 1395-1417 - Zhiqiang Cai, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
First-Order System \CL\CL* (FOSLL*): Scalar Elliptic Partial Differential Equations. 1418-1445 - Natalia Kopteva, Martin Stynes:
A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem. 1446-1467
Volume 39, Number 5, 2002
- Qiang Du, Mo Mu, Zi-Niu Wu:
Efficient Parallel Algorithms for Parabolic Problems. 1469-1487 - Alfio Quarteroni, Alessandro Veneziani, Paolo Zunino:
Mathematical and Numerical Modeling of Solute Dynamics in Blood Flow and Arterial Walls. 1488-1511 - Ivo Babuska, Benqi Guo:
Direct and Inverse Approximation Theorems for the p-Version of the Finite Element Method in the Framework of Weighted Besov Spaces. Part I: Approximability of Functions in the Weighted Besov Spaces. 1512-1538 - Ivan Hlavácek:
Reliable Solution of a Perfect Plastic Problem with Uncertain Stress-Strain Law and Yield Function. 1539-1555 - K. W. Morton:
Discretization of Unsteady Hyperbolic Conservation Laws. 1556-1597 - John W. Barrett, James F. Blowey:
Finite Element Approximation of a Degenerate Allen-Cahn/Cahn-Hilliard System. 1598-1624 - T. Tachim Medjo:
Iterative Methods for a Class of Robust Control Problems in Fluid Mechanics. 1625-1647 - Mohammad Majidi, Gerhard Starke:
Least-Squares Galerkin Methods for Parabolic Problems II: The Fully Discrete Case and Adaptive Algorithms. 1648-1666 - Gerard R. Richter:
Stable Finite Element Box Methods for Hyperbolic Equations. 1667-1683 - Dolores Gómez Pedreira, Patrick Joly:
A Method for Computing Guided Waves in Integrated Optics. Part II: Numerical Approximation and Error Analysis. 1684-1711 - Xuejun Xu, Likang Li, Wenbin Chen:
A Multigrid Method for the Mortar-Type Morley Element Approximation of a Plate Bending Problem. 1712-1731 - Oleg Davydov, Larry L. Schumaker:
Stable Approximation and Interpolation with C1 Quartic Bivariate Splines. 1732-1748 - Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn, L. Donatella Marini:
Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems. 1749-1779 - Borislav Bojanov, Yuan Xu:
On a Hermite Interpolation by Polynomials of Two Variables. 1780-1793 - Stephan Knapek, Frank Koster:
Integral Operators on Sparse Grids. 1794-1809 - I. Bouzoubaa, Kamel Hamdache, A. Noussair:
A Global Weak Solution via Transport-Projection Scheme to a Thin Film Growth Kinetic Model with Nonlocal Boundary Conditions. 1810-1834
Volume 39, Number 6, 2002
- E. O. Ayoola:
Lagrangian Quadrature Schemes for Computing Weak Solutions of Quantum Stochastic Differential Equations. 1835-1864 - Richard E. Ewing, Tao Lin, Yanping Lin:
On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials. 1865-1888 - Ping Lin, Raymond J. Spiteri:
A Predicted Sequential Regularization Method for Index-2 Hessenberg DAEs. 1889-1913 - Mi-Young Kim, YongHoon Kwon:
A Collocation Method for the Gurtin-MacCamy Equation with Finite Life-Span. 1914-1937 - Alan Demlow:
Suboptimal and Optimal Convergence in Mixed Finite Element Methods. 1938-1953 - Markus Bause, Peter Knabner:
Uniform Error Analysis for Lagrange-Galerkin Approximations of Convection-Dominated Problems. 1954-1984 - Wolfgang Dahmen, Angela Kunoth, Reinhold Schneider:
Wavelet Least Squares Methods for Boundary Value Problems. 1985-2013 - Maïtine Bergounioux, Housnaa Zidani:
A Fully Discrete Approximation for Control Problems Governed by Parabolic Variational Inequalities. 2014-2033 - Carsten Carstensen:
Residual-Based A Posteriori Error Estimate for a Nonconforming Reissner-Mindlin Plate Finite Element. 2034-2044 - Bingkun Li, Graeme Fairweather, Bernard Bialecki:
Discrete-Time Orthogonal Spline Collocation Methods for Vibration Problems. 2045-2065 - G. N. Milstein, Yu. M. Repin, Michael V. Tretyakov:
Symplectic Integration of Hamiltonian Systems with Additive Noise. 2066-2088 - Serge Piperno, Malika Remaki, Loula Fezoui:
A Nondiffusive Finite Volume Scheme for the Three-Dimensional Maxwell's Equations on Unstructured Meshes. 2089-2108 - Éliane Bécache, Patrick Joly, Chrysoula Tsogka:
A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem. 2109-2132 - Paul Houston, Christoph Schwab, Endre Süli:
Discontinuous hp-Finite Element Methods for Advection-Diffusion-Reaction Problems. 2133-2163 - Jing-Bo Chen, Hans Z. Munthe-Kaas, Meng-Zhao Qin:
Square-Conservative Schemes for a Class of Evolution Equations Using Lie-Group Methods. 2164-2178 - Bennett L. Fox:
Filtering the Feynman-KAC Formula. 2179-2199
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