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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