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SIAM Journal on Numerical Analysis

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Volume 41, Issue 6, pp. 1997-2399

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A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data

Jérôme Droniou, Thierry Gallouët, and Raphaèle Herbin

pp. 1997-2031

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A Posteriori Error Estimators for Regularized Total Variation of Characteristic Functions

Francesca Fierro and Andreas Veeser

pp. 2032-2055

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Generalizations and Accelerations of Lions' Nonoverlapping Domain Decomposition Method for Linear Elliptic PDE

W. Guo and L. S. Hou

pp. 2056-2080

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A Fast Numerical Method for the Black--Scholes Equation of American Options

Houde Han and Xiaonan Wu

pp. 2081-2095

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Attraction Rates, Robustness, and Discretization of Attractors

Lars Grüne

pp. 2096-2113

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On the Velocity-Pressure-Vorticity Least-Squares Mixed Finite Element Method for the 3D Stokes Equations

Huo-Yuan Duan and Guo-Ping Liang

pp. 2114-2130

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Elimination of First Order Errors in Time Dependent Shock Calculations

Malin Siklosi and Gunilla Kreiss

pp. 2131-2148

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Pointwise Error Estimates for Differences in Piecewise Linear Finite Element Approximations

Alfred H. Schatz and Lars B. Wahlbin

pp. 2149-2160

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Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces

Klaus Deckelnick, Gerhard Dziuk, and Charles M. Elliott

pp. 2161-2179

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Performing Interpolation and Anterpolation Entirely by Fast Fourier Transform in the 3-D Multilevel Fast Multipole Algorithm

Jukka Sarvas

pp. 2180-2196

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Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations

A. L. Codd, T. A. Manteuffel, and S. F. McCormick

pp. 2197-2209

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Multilevel First-Order System Least Squares for Elliptic Grid Generation

A. L. Codd, T. A. Manteuffel, S. F. McCormick, and J. W. Ruge

pp. 2210-2232

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Numerical Discretization of Boundary Conditions for First Order Hamilton--Jacobi Equations

Rémi Abgrall

pp. 2233-2261

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Entropy Formulation for Parabolic Degenerate Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV Methods

Anthony Michel and Julien Vovelle

pp. 2262-2293

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Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence

Randolph E. Bank and Jinchao Xu

pp. 2294-2312

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Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids

Randolph E. Bank and Jinchao Xu

pp. 2313-2332

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Convergence Analysis of Spectral Collocation Methods for a Singular Differential Equation

Weizhang Huang, Heping Ma, and Weiwei Sun

pp. 2333-2349

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Existence Verification for Higher Degree Singular Zeros of Nonlinear Systems

R. Baker Kearfott and Jianwei Dian

pp. 2350-2373

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A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems

Ohannes A. Karakashian and Frederic Pascal

pp. 2374-2399

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