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:
LINFINITY- 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 Rd.
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 AAlpha, 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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