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SIAM Journal on Numerical Analysis

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Volume 42, Issue 4, pp. 1357-1800

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Stability and Convergence of a Class of Finite Element Schemes for Hyperbolic Systems of Conservation Laws

Christos Arvanitis, Charalambos Makridakis, and Athanasios E. Tzavaras

pp. 1357-1393

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A Local A Posteriori Error Estimator Based on Equilibrated Fluxes

R. Luce and B. I. Wohlmuth

pp. 1394-1414

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Tensorial Rational Surfaces with Base Points via Massic Vectors

Olivier Gibaru

pp. 1415-1434

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A Posteriori Estimation of Dimension Reduction Errors for Elliptic Problems on Thin Domains

Sergey Repin, Stefan Sauter, and Anton Smolianski

pp. 1435-1451

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Order of Convergence Estimates for an Euler Implicit, Mixed Finite Element Discretization of Richards' Equation

Florin Radu, Iuliu Sorin Pop, and Peter Knabner

pp. 1452-1478

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Adaptive Wavelet Galerkin Methods for Linear Inverse Problems

Albert Cohen, Marc Hoffmann, and Markus Reiss

pp. 1479-1501

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Analysis of Finite Element Approximation of Evolution Problems in Mixed Form

Daniele Boffi and Lucia Gastaldi

pp. 1502-1526

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Design of Absorbing Boundary Conditions for Schrödinger Equations in $\mathbbR$d

Jérémie Szeftel

pp. 1527-1551

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Homotopies for Intersecting Solution Components of Polynomial Systems

Andrew J. Sommese, Jan Verschelde, and Charles W. Wampler

pp. 1552-1571

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Finite Element Methods for a Modified Reissner--Mindlin Free Plate Model

L. Beirao da Veiga

pp. 1572-1591

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A Time-Domain Finite Element Method for Maxwell's Equations

Tri Van and Aihua Wood

pp. 1592-1609

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Computing Bounds for Linear Functionals of Exact Weak Solutions to Poisson's Equation

A. M. Sauer-Budge, J. Bonet, A. Huerta, and J. Peraire

pp. 1610-1630

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A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow

R. Nabben and C. Vuik

pp. 1631-1647

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Uniform Convergence of an Exponentially Fitted Scheme for the Quantum Drift Diffusion Model

René Pinnau

pp. 1648-1668

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On Generalizing the Algebraic Multigrid Framework

Robert D. Falgout and Panayot S. Vassilevski

pp. 1669-1693

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Constraint-Preserving Upwind Methods for Multidimensional Advection Equations

M. Torrilhon and M. Fey

pp. 1694-1728

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Global Superconvergence and A Posteriori Error Estimators of the Finite Element Method for a Quasi-linear Elliptic Boundary Value Problem of Nonmonotone Type

Liping Liu, Tang Liu, Michal Krízek, Tao Lin, and Shuhua Zhang

pp. 1729-1744

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A Local Minimax-Newton Method for Finding Multiple Saddle Points with Symmetries

Zhi-Qiang Wang and Jianxin Zhou

pp. 1745-1759

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On Korobov Lattice Rules in Weighted Spaces

Xiaoqun Wang, Ian H. Sloan, and Josef Dick

pp. 1760-1779

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A Posteriori Error Estimates Based on the Polynomial Preserving Recovery

Ahmed Naga and Zhimin Zhang

pp. 1780-1800

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