SIAM Journal on Numerical Analysis, Volume 46

Volume 46, Number 1, 2007

• Houman Owhadi, Lei Zhang:
  Homogenization of Parabolic Equations with a Continuum of Space and Time Scales. 1-36
  
• Olga Drblíková, Karol Mikula:
  Convergence Analysis of Finite Volume Scheme for Nonlinear Tensor Anisotropic Diffusion in Image Processing. 37-60
  
• Sören Bartels, Xiaobing Feng, Andreas Prohl:
  Finite Element Approximations of Wave Maps into Spheres. 61-87
  
• Jun Hu, Zhongci Shi:
  Lower Order Rectangular Nonconforming Mixed Finite Elements for Plane Elasticity. 88-102
  
• V. Gradinaru:
  Strang Splitting for the Time-Dependent Schrödinger Equation on Sparse Grids. 103-123
  
• Benoit Merlet:
  L^INFINITY- and L²-Error Estimates for a Finite Volume Approximation of Linear Advection. 124-150
  
• Volker John, William J. Layton, Carolina C. Manica:
  Convergence of Time-Averaged Statistics of Finite Element Approximations of the Navier-Stokes Equations. 151-179
  
• Christian Jansson, Denis Chaykin, Christian Keil:
  Rigorous Error Bounds for the Optimal Value in Semidefinite Programming. 180-200
  
• Javier de Frutos, Bosco García-Archilla, Julia Novo:
  The Postprocessed Mixed Finite-Element Method for the Navier-Stokes Equations: Refined Error Bounds. 201-230
  
• Xu Da:
  Uniform l¹ Behavior for Time Discretization of a Volterra Equation with Completely Monotonic Kernel II: Convergence. 231-259
  
• Zhangxin Chen, Tatyana Y. Savchuk:
  Analysis of the Multiscale Finite Element Method for Nonlinear and Random Homogenization Problems. 260-279
  
• Marios Charalambides, Fabian Waleffe:
  Spectrum of the Jacobi Tau Approximation for the Second Derivative Operator. 280-294
  
• Xiaoying Dai, Aihui Zhou:
  Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems. 295-324
  
• Zheng Ran:
  Lie Symmetry Preservation and Shock-Capturing Methods. 325-343
  
• Amiya Kumar Pani, Graeme Fairweather, Ryan I. Fernandes:
  Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term. 344-364
  
• T. Yu. Bohonova, Ivan P. Gavrilyuk, Volodymyr L. Makarov, V. Vasylyk:
  Exponentially Convergent Duhamel-Like Algorithms for Differential Equations with an Operator Coefficient Possessing a Variable Domain in a Banach Space. 365-396
  
• Abeer Ali Abushama, Bernard Bialecki:
  Modified Nodal Cubic Spline Collocation For Poisson's Equation. 397-418
  
• Herbert Egger:
  Y-Scale Regularization. 419-436
  
• Erika Hausenblas:
  Finite Element Approximation of Stochastic Partial Differential Equations driven by Poisson Random Measures of Jump Type. 437-471
  
• Yan Gong, Bo Li, Zhilin Li:
  Immersed-Interface Finite-Element Methods for Elliptic Interface Problems with Nonhomogeneous Jump Conditions. 472-495
  
• Talal Rahman, Petter E. Bjørstad, Xuejun Xu:
  The Crouzeix-Raviart FE on Nonmatching Grids with an Approximate Mortar Condition. 496-516
  
• Ivan G. Graham, Lars Grasedyck, Wolfgang Hackbusch, S. A. Sauter:
  Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement. 517-543
  

Volume 46, Number 2, 2008

• Marcus Sarkis, Henrique Versieux:
  Convergence Analysis for The Numerical Boundary Corrector for Elliptic Equations with Rapidly Oscillating Coefficients. 545-576
  
• Massimo Fornasier, Holger Rauhut:
  Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints. 577-613
  
• Lars Diening, Christian Kreuzer:
  Linear Convergence of an Adaptive Finite Element Method for the p-Laplacian Equation. 614-638
  
• Nicolas Besse:
  Convergence of a High-Order Semi-Lagrangian Scheme with Propagation of Gradients for the One-Dimensional Vlasov-Poisson System. 639-670
  
• M. H. Annaby, R. M. Asharabi:
  On Sinc-Based Method in Computing Eigenvalues of Boundary-Value Problems. 671-690
  
• Adrien Blanchet, Vincent Calvez, José A. Carrillo:
  Convergence of the Mass-Transport Steepest Descent Scheme for the Subcritical Patlak-Keller-Segel Model. 691-721
  
• Daniel J. Bates, Jonathan D. Hauenstein, Andrew J. Sommese, Charles W. Wampler:
  Adaptive Multiprecision Path Tracking. 722-746
  
• Yaroslav Kondratyuk, Rob Stevenson:
  An Optimal Adaptive Finite Element Method for the Stokes Problem. 747-775
  
• Alexandre Ern, Jean-Luc Guermond:
  Discontinuous Galerkin Methods for Friedrichs' Systems. Part III. Multifield Theories with Partial Coercivity. 776-804
  
• Daniele A. Di Pietro, Alexandre Ern, Jean-Luc Guermond:
  Discontinuous Galerkin Methods for Anisotropic Semidefinite Diffusion with Advection. 805-831
  
• Zhewei Dai, Patricia K. Lamm:
  Local Regularization for the Nonlinear Inverse Autoconvolution Problem. 832-868
  
• Denise Aregba-Driollet, Maya Briani, Roberto Natalini:
  Asymptotic High-Order Schemes for 2˟2 Dissipative Hyperbolic Systems. 869-894
  
• Vincent M. Devigne, I. S. Pop, C. J. van Duijn, T. Clopeau:
  A Numerical Scheme for the Pore-Scale Simulation of Crystal Dissolution and Precipitation in Porous Media. 895-919
  
• Xuli Han:
  Convexity-Preserving Piecewise Rational Quartic Interpolation. 920-929
  
• Nicholas Hale, Lloyd N. Trefethen:
  New Quadrature Formulas from Conformal Maps. 930-948
  
• Vivette Girault, Shuyu Sun, Mary F. Wheeler, Ivan Yotov:
  Coupling Discontinuous Galerkin and Mixed Finite Element Discretizations using Mortar Finite Elements. 949-979
  
• Dimitri Breda, M. Iannelli, Stefano Maset, Rossana Vermiglio:
  Stability Analysis of the Gurtin-MacCamy Model. 980-995
  
• Amy L. Bauer, Raphaël Loubère, Burton Wendroff:
  On Stability of Staggered Schemes. 996-1011
  
• Manuel J. Castro, José M. Gallardo, Juan A. López-García, Carlos Parés:
  Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws. 1012-1039
  
• J. M. Sanz-Serna:
  Mollified Impulse Methods for Highly Oscillatory Differential Equations. 1040-1059
  
• Julián Aguirre, Judith Rivas:
  A Spectral Viscosity Method Based on Hermite Functions for Nonlinear Conservation Laws. 1060-1078
  
• P. Zhuang, Fawang Liu, Vo Anh, Ian W. Turner:
  New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation. 1079-1095
  

Volume 46, Number 3, 2008

• Leevan Ling, Robert Schaback:
  Stable and Convergent Unsymmetric Meshless Collocation Methods. 1097-1115
  
• Donald J. Estep, Victor Ginting, David L. Ropp, John N. Shadid, Simon Tavener:
  An A Posteriori-A Priori Analysis of Multiscale Operator Splitting. 1116-1146
  
• S. W. Schoombie, E. Maré:
  High Frequency Induced Instability in Nyström Methods for the van der Pol Equation. 1147-1165
  
• Luca Dieci, Erik S. Van Vleck:
  On the Error in QR Integration. 1166-1189
  
• Susanne C. Brenner, Fengyan Li, Li-Yeng Sung:
  A Locally Divergence-Free Interior Penalty Method for Two-Dimensional Curl-Curl Problems. 1190-1211
  
• Klaus Böhmer:
  On Finite Element Methods for Fully Nonlinear Elliptic Equations of Second Order. 1212-1249
  
• Bernardo Cockburn, Bo Dong, Johnny Guzmán:
  Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes. 1250-1265
  
• Xiaojun Chen, Sayed Mahmoud:
  Implicit Runge-Kutta Methods for Lipschitz Continuous Ordinary Differential Equations. 1266-1280
  
• Runchang Lin, Zhimin Zhang:
  Natural Superconvergence Points in Three-Dimensional Finite Elements. 1281-1297
  
• Pierre Degond, Jian-Guo Liu, Marie Hélène Vignal:
  Analysis of an Asymptotic Preserving Scheme for the Euler-Poisson System in the Quasineutral Limit. 1298-1322
  
• V. Faber, J. Liesen, P. Tichý:
  The Faber-Manteuffel Theorem for Linear Operators. 1323-1337
  
• Alfredo Bermúdez, Rodolfo Rodríguez, Pilar Salgado:
  A Finite Element Method for the Magnetostatic Problem in Terms of Scalar Potentials. 1338-1363
  
• Bernardo Cockburn, Johnny Guzmán:
  Error Estimates for the Runge-Kutta Discontinuous Galerkin Method for the Transport Equation with Discontinuous Initial Data. 1364-1398
  
• Lubomír Bañas, Sören Bartels, Andreas Prohl:
  A Convergent Implicit Finite Element Discretization of the Maxwell-Landau-Lifshitz-Gilbert Equation. 1399-1422
  
• Maria Emelianenko, Lili Ju, Alexander Rand:
  Nondegeneracy and Weak Global Convergence of the Lloyd Algorithm in R^d. 1423-1441
  
• Ricardo G. Durán, Ariel L. Lombardi:
  Error Estimates for the Raviart-Thomas Interpolation Under the Maximum Angle Condition. 1442-1453
  
• Nailin Du:
  Finite-Dimensional Approximation Settings for Infinite-dimensional Moore-Penrose Inverses. 1454-1482
  
• Qiang Du, Maria Emelianenko:
  Uniform Convergence of a Nonlinear Energy-Based Multilevel Quantization Scheme. 1483-1502
  
• Bo Yu, Bo Dong:
  A Hybrid Polynomial System Solving Method for Mixed Trigonometric Polynomial Systems. 1503-1518
  
• Josef Dick:
  Walsh Spaces Containing Smooth Functions and Quasi-Monte Carlo Rules of Arbitrary High Order. 1519-1553
  
• Giuseppe Maria Coclite, Kenneth H. Karlsen, Nils Henrik Risebro:
  A Convergent Finite Difference Scheme for the Camassa-Holm Equation with General H¹ Initial Data. 1554-1579
  
• J. Wang, P. A. Forsyth:
  Maximal Use of Central Differencing for Hamilton-Jacobi-Bellman PDEs in Finance. 1580-1601
  
• Natalia Kopteva:
  Maximum Norm A Posteriori Error Estimate for a 2D Singularly Perturbed Semilinear Reaction-Diffusion Problem. 1602-1618
  
• E. Lee, Thomas A. Manteuffel, C. R. Westphal:
  Weighted-Norm First-Order System Least-Squares (FOSLS) for Div/Curl Systems with Three Dimensional Edge Singularities. 1619-1639
  
• Z. Cai, C. R. Westphal:
  A Weighted H(div) Least-Squares Method for Second-Order Elliptic Problems. 1640-1651
  

Volume 46, Number 4, 2008

• Huiyuan Li, Jiachang Sun, Yuan Xu:
  Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle. 1653-1681
  
• Paola Gervasio:
  Convergence Analysis of High Order Algebraic Fractional Step Schemes for Time-Dependent Stokes Equations. 1682-1703
  
• Roland Becker, Xiaobing Feng, Andreas Prohl:
  Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow. 1704-1731
  
• E. Mordecki, Anders Szepessy, Raúl Tempone, Georgios E. Zouraris:
  Adaptive Weak Approximation of Diffusions with Jumps. 1732-1768
  
• Eskil Hansen, Alexander Ostermann:
  Finite Element Runge-Kutta Discretizations of Porous Medium-Type Equations. 1769-1779
  
• Eric Heinemeyer, Marko Lindner, Roland Potthast:
  Convergence and Numerics of a Multisection Method for Scattering by Three-Dimensional Rough Surfaces. 1780-1798
  
• Eero Vainikko, Gennadi Vainikko:
  A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations. 1799-1820
  
• Fuke Wu, Xuerong Mao:
  Numerical Solutions of Neutral Stochastic Functional Differential Equations. 1821-1841
  
• Julien Salomon, Alexander A. Weiss, Barbara I. Wohlmuth:
  Energy-Conserving Algorithms for a Corotational Formulation. 1842-1866
  
• Thomas Apel, Gunar Matthies:
  Nonconforming, Anisotropic, Rectangular Finite Elements of Arbitrary Order for the Stokes Problem. 1867-1891
  
• Peter N. Brown, Homer F. Walker, Rebecca Wasyk, Carol S. Woodward:
  On Using Approximate Finite Differences in Matrix-Free Newton-Krylov Methods. 1892-1911
  
• Nathalie Lanson, Jean-Paul Vila:
  Renormalized Meshfree Schemes I: Consistency, Stability, and Hybrid Methods for Conservation Laws. 1912-1934
  
• Nathalie Lanson, Jean-Paul Vila:
  Renormalized Meshfree Schemes II: Convergence for Scalar Conservation Laws. 1935-1964
  
• Haotao Cai, Yuesheng Xu:
  A Fast Fourier-Galerkin Method for Solving Singular Boundary Integral Equations. 1965-1984
  
• Kirill Kopotun, Dany Leviatan, A. V. Prymak:
  Constrained Spline Smoothing. 1985-1997
  
• Yan Xu, Chi-Wang Shu:
  A Local Discontinuous Galerkin Method for the Camassa-Holm Equation. 1998-2021
  
• Mechthild Thalhammer:
  High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations. 2022-2038
  
• Simone Deparis:
  Reduced Basis Error Bound Computation of Parameter-Dependent Navier-Stokes Equations by the Natural Norm Approach. 2039-2067
  
• Donald J. Estep, Simon Tavener, Tim Wildey:
  A Posteriori Analysis and Improved Accuracy for an Operator Decomposition Solution of a Conjugate Heat Transfer Problem. 2068-2089
  
• Hyea Hyun Kim:
  A BDDC Algorithm for Mortar Discretization of Elasticity Problems. 2090-2111
  
• Roger P. Pawlowski, Joseph P. Simonis, Homer F. Walker, John N. Shadid:
  Inexact Newton Dogleg Methods. 2112-2132
  
• Hong Wang:
  An Optimal-Order Error Estimate for a Family of ELLAM-MFEM Approximations to Porous Medium Flow. 2133-2152
  
• Clark R. Dohrmann, Axel Klawonn, Olof B. Widlund:
  Domain Decomposition for Less Regular Subdomains: Overlapping Schwarz in Two Dimensions. 2153-2168
  
• Philipp Grohs:
  Smoothness Analysis of Subdivision Schemes on Regular Grids by Proximity. 2169-2182
  
• Hoi Ying Wong, Jing Zhao:
  An Artificial Boundary Method for American Option Pricing under the CEV Model. 2183-2209
  

Volume 46, Number 5, 2008

• Jing-Mei Qiu, Chi-Wang Shu:
  Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps. 2211-2237
  
• Denis Gaidashev, Dmitry Khmelev:
  On Numerical Algorithms for the Solution of a Beltrami Equation. 2238-2253
  
• Yanping Chen, Nianyu Yi, Wenbin Liu:
  A Legendre-Galerkin Spectral Method for Optimal Control Problems Governed by Elliptic Equations. 2254-2275
  
• Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu:
  Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier-Stokes Equations with Mass Diffusion. 2276-2308
  
• Fabio Nobile, Raúl Tempone, C. G. Webster:
  A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data. 2309-2345
  
• Hyea Hyun Kim:
  A FETI-DP Formulation of Three Dimensional Elasticity Problems with Mortar Discretization. 2346-2370
  
• Knut Waagan:
  Convergence Rate of Monotone Numerical Schemes for Hamilton-Jacobi Equations with Weak Boundary Conditions. 2371-2392
  
• Carsten Ebmeyer, W. B. Liu:
  Finite Element Approximation of the Fast Diffusion and the Porous Medium Equations. 2393-2410
  
• Fabio Nobile, Raúl Tempone, C. G. Webster:
  An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data. 2411-2442
  
• Marc Ethier, Yves Bourgault:
  Semi-Implicit Time-Discretization Schemes for the Bidomain Model. 2443-2468
  
• Andreas Prohl:
  Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics. 2469-2483
  
• Axel Klawonn, Oliver Rheinbach, Olof B. Widlund:
  An Analysis of a FETI-DP Algorithm on Irregular Subdomains in the Plane. 2484-2504
  
• Nicholas Hale, Nicholas J. Higham, Lloyd N. Trefethen:
  Computing A^Alpha, log(A), and Related Matrix Functions by Contour Integrals. 2505-2523
  
• J. Manuel Cascon, Christian Kreuzer, Ricardo H. Nochetto, Kunibert G. Siebert:
  Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method. 2524-2550
  
• Brigitte Bidégaray-Fesquet:
  Stability of FD-TD Schemes for Maxwell-Debye and Maxwell-Lorentz Equations. 2551-2566
  
• E. E. Ovtchinnikov:
  Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation I: Computing an Extreme Eigenvalue. 2567-2592
  
• E. E. Ovtchinnikov:
  Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation II: Computing Several Extreme Eigenvalues. 2593-2619
  
• Shlomo Engelberg, Eitan Tadmor:
  Recovery of Edges from Spectral Data with Noise - A New Perspective. 2620-2635
  
• Jin Ma, Jie Shen, Yanhong Zhao:
  On Numerical Approximations of Forward-Backward Stochastic Differential Equations. 2636-2661
  
• Felix Kwok, Hamdi A. Tchelepi:
  Convergence of Implicit Monotone Schemes with Applications in Multiphase Flow in Porous Media. 2662-2687
  
• Xin Wen, Shi Jin:
  The l¹-Error Estimates for a Hamiltonian-Preserving Scheme for the Liouville Equation with Piecewise Constant Potentials. 2688-2714
  
• Nicolas Forcadel:
  An Error Estimate for a New Scheme for Mean Curvature Motion. 2715-2741
  
• Kolja Brix, Martin Campos Pinto, Wolfgang Dahmen:
  A Multilevel Preconditioner for the Interior Penalty Discontinuous Galerkin Method. 2742-2768
  

Volume 46, Number 6, 2008

• Luca Formaggia, Alessandro Veneziani, Christian Vergara:
  A New Approach to Numerical Solution of Defective Boundary Value Problems in Incompressible Fluid Dynamics. 2769-2794
  
• C. Yalçin Kaya, Lyle Noakes:
  Leapfrog for Optimal Control. 2795-2817
  
• Sven Beuchler, Tino Eibner, Ulrich Langer:
  Primal and Dual Interface Concentrated Iterative Substructuring Methods. 2818-2842
  
• Sheng Zhang:
  Analysis of Finite Element Domain Embedding Methods for Curved Domains using Uniform Grids. 2843-2866
  
• Kazufumi Ito, Karl Kunisch:
  Reduced-Order Optimal Control Based on Approximate Inertial Manifolds for Nonlinear Dynamical Systems. 2867-2891
  
• Gabriel Lord, Simon J. A. Malham, Anke Wiese:
  Efficient Strong Integrators for Linear Stochastic Systems. 2892-2919
  
• Elisabetta Carlini, M. Falcone, Nicolas Forcadel, Régis Monneau:
  Convergence of a Generalized Fast-Marching Method for an Eikonal Equation with a Velocity-Changing Sign. 2920-2952
  
• Pascal Getreuer, François G. Meyer:
  ENO Multiresolution Schemes with General Discretizations. 2953-2977
  
• Vera Thümmler:
  Numerical Approximation of Relative Equilibria for Equivariant PDEs. 2978-3005
  
• Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl:
  Polynomial Extension Operators. Part I. 3006-3031
  
• Franck Boyer, Florence Hubert:
  Finite Volume Method for 2D Linear and Nonlinear Elliptic Problems with Discontinuities. 3032-3070
  
• C. T. Kelley, Li-Zhi Liao, Liqun Qi, Moody T. Chu, J. P. Reese, C. Winton:
  Projected Pseudotransient Continuation. 3071-3083
  
• Orazgeldy Kurbanmuradov, Karl Sabelfeld:
  Convergence of Fourier-Wavelet Models for Gaussian Random Processes. 3084-3112
  
• Timothy A. Lucas:
  Operator Splitting for an Immunology Model Using Reaction-Diffusion Equations with Stochastic Source Terms. 3113-3135
  
• Masoumeh Dashti, James C. Robinson:
  An A Posteriori Condition on the Numerical Approximations of the Navier-Stokes Equations for the Existence of a Strong Solution. 3136-3150
  
• Timothy Warburton, Thomas Hagstrom:
  Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes. 3151-3180
  
• Daniel Peterseim, Stefan A. Sauter:
  The Composite Mini Element - Coarse Mesh Computation of Stokes Flows on Complicated Domains. 3181-3206
  
• Mark Ainsworth, Richard Rankin:
  Fully Computable Bounds for the Error in Nonconforming Finite Element Approximations of Arbitrary Order on Triangular Elements. 3207-3232
  
• Mihaela Negreanu:
  Convergence of a Semidiscrete Two-Grid Algorithm for the Controllability of the 1-d Wave Equation. 3233-3263
  
• Erik G. Boman, Bruce Hendrickson, Stephen A. Vavasis:
  Solving Elliptic Finite Element Systems in Near-Linear Time with Support Preconditioners. 3264-3284
  
• David Borwein, Jonathan M. Borwein, Richard E. Crandall:
  Effective Laguerre Asymptotics. 3285-3312
  

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