Zhendong Luo, Jing Chen, I. M. Navon, Xiaozhong Yang: Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier-Stokes Equations. 1-19
Runchang Lin: Discontinuous Discretization for Least-Squares Formulation of Singularly Perturbed Reaction-Diffusion Problems in One and Two Dimensions. 89-108
Christoph Erath, Dirk Praetorius: A Posteriori Error Estimate and Adaptive Mesh Refinement for the Cell-Centered Finite Volume Method for Elliptic Boundary Value Problems. 109-135
Andreas Prohl: On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier-Stokes Equations. 158-180
Kristian Debrabant, Anne Kværnø: B-Series Analysis of Stochastic Runge-Kutta Methods That Use an Iterative Scheme to Compute Their Internal Stage Values. 181-203
Weihua Deng: Finite Element Method for the Space and Time Fractional Fokker-Planck Equation. 204-226
L. Banjai, S. Sauter: Rapid Solution of the Wave Equation in Unbounded Domains. 227-249
Wenfang (Wendy) Cheng, Xiaoming Wang: A Semi-Implicit Scheme for Stationary Statistical Properties of the Infinite Prandtl Number Model. 250-270
Erik Burman, Miguel A. Fernández: Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Transient Stokes Equations: Stability and Convergence Analysis. 409-439
Q. T. Le Gia, H. N. Mhaskar: Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere. 440-466
Andrei Amosov, Mario Ahues, Alain Largillier: Superconvergence of Some Projection Approximations for Weakly Singular Integral Equations Using General Grids. 646-674
Hailiang Liu, Jue Yan: The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems. 675-698
Ramon Codina: Finite Element Approximation of the Three-Field Formulation of the Stokes Problem Using Arbitrary Interpolations. 699-718
Daan Huybrechs, Ronald Cools: On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals. 719-739
V. Carey, Donald J. Estep, Simon Tavener: A Posteriori Analysis and Adaptive Error Control for Multiscale Operator Decomposition Solution of Elliptic Systems I: Triangular Systems. 740-761
Alan Demlow: Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces. 805-827
Valeria Simoncini, Vladimir Druskin: Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations. 828-843
Gilles Aubert, Pierre Kornprobst: Can the Nonlocal Characterization of Sobolev Spaces by Bourgain et al. Be Useful for Solving Variational Problems? 844-860
Mohamed Amara, Rabia Djellouli, Charbel Farhat: Convergence Analysis of a Discontinuous Galerkin Method with Plane Waves and Lagrange Multipliers for the Solution of Helmholtz Problems. 1038-1066
S. Giani, I. G. Graham: A Convergent Adaptive Method for Elliptic Eigenvalue Problems. 1067-1091
Bertrand Maury: Numerical Analysis of a Finite Element/Volume Penalty Method. 1126-1148
O. Steinbach, M. Windisch: Modified Combined Field Integral Equations for Electromagnetic Scattering. 1149-1167
Christiaan C. Stolk: A Fast Method for Linear Waves Based on Geometrical Optics. 1168-1194
Benqi Guo, Jianming Zhang: Stable and Compatible Polynomial Extensions in Three Dimensions and Applications to the p and h-p Finite Element Method. 1195-1225
Xiaobing Feng, Michael Neilan: Mixed Finite Element Methods for the Fully Nonlinear Monge-Ampère Equation Based on the Vanishing Moment Method. 1226-1250
Michael Hintermüller, Michael Hinze: Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment. 1666-1683
Andreas Rößler: Second Order Runge-Kutta Methods for Itô Stochastic Differential Equations. 1713-1738
Mihai Anitescu: Spectral Finite-Element Methods for Parametric Constrained Optimization Problems. 1739-1759
P. Zhuang, Fawang Liu, Vo Anh, Ian W. Turner: Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term. 1760-1781
B. L. Bihari, P. N. Brown: A Linear Algebraic Analysis of Diffusion Synthetic Acceleration for the Boltzmann Transport Equation II: The Simple Corner Balance Method. 1782-1826
Frank Bauer, Thorsten Hohage, Axel Munk: Iteratively Regularized Gauss-Newton Method for Nonlinear Inverse Problems with Random Noise. 1827-1846
Torsten Linß: Analysis of a System of Singularly Perturbed Convection-Diffusion Equations with Strong Coupling. 1847-1862
C. Hager, Barbara I. Wohlmuth: Analysis of a Space-Time Discretization for Dynamic Elasticity Problems Based on Mass-Free Surface Elements. 1863-1885
Wenbin Liu, Ningning Yan: Local A Posteriori Error Estimates for Convex Boundary Control Problems. 1886-1908
Yanren Hou, Kaitai Li: Postprocessing Fourier Galerkin Method for the Navier-Stokes Equations. 1909-1922
Nicolas Forcadel: Comparison Principle for a Generalized Fast Marching Method. 1923-1951
A. H. Barnett: Perturbative Analysis of the Method of Particular Solutions for Improved Inclusion of High-Lying Dirichlet Eigenvalues. 1952-1970
Santiago Badia, Ramon Codina: Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems. 1971-2000
Claudio Canuto, Timo Tonn, Karsten Urban: A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs. 2001-2022
Luca Dieci, Luciano Lopez: Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach. 2023-2051
Vivette Girault, Béatrice Rivière: DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition. 2052-2089
Shangyou Zhang: A Family of Qk+1, k˟Qk, k+1 Divergence-Free Finite Elements on Rectangular Grids. 2090-2107
Xianjuan Li, Chuanju Xu: A Space-Time Spectral Method for the Time Fractional Diffusion Equation. 2108-2131
Zhiqiang Cai, Shun Zhang: Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements. 2132-2156
Luigi C. Berselli, Lars Diening, Michael Ruzicka: Optimal Error Estimates for a Semi-Implicit Euler Scheme for Incompressible Fluids with Shear Dependent Viscosities. 2177-2202
Jack Schaeffer: Higher Order Time Splitting for the Linear Vlasov Equation. 2203-2223
Matthew Dobson, Mitchell Luskin: An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation. 2455-2475
J. Thomas Beale: Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm. 2476-2495
Qun Lin, Lung-an Ying: Interval Inclusion Computation for the Solutions of the Burgers Equation. 2496-2517
János Karátson, Sergey Korotov: An Algebraic Discrete Maximum Principle in Hilbert Space with Applications to Nonlinear Cooperative Elliptic Systems. 2518-2549
Christoph Ortner: A Posteriori Existence in Numerical Computations. 2550-2577
Benqi Guo: Approximation Theory for the P-Version of the Finite Element Method in Three Dimensions Part II: Convergence of the P Version of the Finite Element Method. 2578-2611
Pascal Omnes, Yohan Penel, Yann Rosenbaum: A Posteriori Error Estimation for the Discrete Duality Finite Volume Discretization of the Laplace Equation. 2782-2807
Alessandro Veneziani: A Note on the Consistency and Stability Properties of Yosida Fractional Step Schemes for the Unsteady Stokes Equations. 2838-2843
Jean-François Coulombel: Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems. 2844-2871
Xiaobing Feng, Haijun Wu: Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number. 2872-2896
Xiaobing Feng, Michael Neilan: A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations. 2952-2981
Christian Gross, Rolf Krause: On the Convergence of Recursive Trust-Region Methods for Multiscale Nonlinear Optimization and Applications to Nonlinear Mechanics. 3044-3069
Mitchell Luskin, Christoph Ortner: An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum Method. 3070-3086
Bernard Bialecki, Ryan I. Fernandes: An Alternating Direction Implicit Backward Differentiation Orthogonal Spline Collocation Method for Linear Variable Coefficient Parabolic Equations. 3429-3450
Francisco-Javier Sayas: The Validity of Johnson-Nédélec's BEM-FEM Coupling on Polygonal Interfaces. 3451-3463
Oliver Junge, Péter Koltai: Discretization of the Frobenius-Perron Operator Using a Sparse Haar Tensor Basis: The Sparse Ulam Method. 3464-3485
Sören Bartels: Semi-Implicit Approximation of Wave Maps into Smooth or Convex Surfaces. 3486-3506
Todd A. Oliver, David L. Darmofal: Analysis of Dual Consistency for Discontinuous Galerkin Discretizations of Source Terms. 3507-3525
Thomas Hagstrom, Timothy Warburton: Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods. 3678-3704
Arnaud Debussche, Erwan Faou: Modified Energy for Split-Step Methods Applied to the Linear Schrödinger Equation. 3705-3719
Sören Bartels, Max Jensen, Rüdiger Müller: Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity. 3720-3743
Yanzhao Cao, Bin Wu, Yuesheng Xu: A Fast Collocation Method for Solving Stochastic Integral Equations. 3744-3767
Pavel B. Bochev, Denis Ridzal: An Optimization-Based Approach for the Design of PDE Solution Algorithms. 3938-3955
Bruno Després: Uniform Asymptotic Stability of Strang's Explicit Compact Schemes for Linear Advection. 3956-3976
Alexei Bespalov, Norbert Heuer: Optimal Error Estimation for H(curl)-Conforming p-Interpolation in Two Dimensions. 3977-3989
Carlo D'Angelo, Paolo Zunino: A Finite Element Method Based on Weighted Interior Penalties for Heterogeneous Incompressible Flows. 3990-4020
Volume 47, Number 6, 2010
Long Chen: A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations. 4021-4043
Yingda Cheng, Chi-Wang Shu: Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension. 4044-4072
Zhiqiang Cai, JaEun Ku: Optimal Error Estimate for the Div Least-squares Method with Data f∈L2 and Application to Nonlinear Problems. 4098-4111
Mark Ainsworth, Richard Rankin: Fully Computable Error Bounds for Discontinuous Galerkin Finite Element Approximations on Meshes with an Arbitrary Number of Levels of Hanging Nodes. 4112-4141
Shoufu Li: High Order Contractive Runge-Kutta Methods for Volterra Functional Differential Equations. 4290-4325
Daan Huybrechs: On the Fourier Extension of Nonperiodic Functions. 4326-4355
Richard Norton, Robert Scheichl: Convergence Analysis of Planewave Expansion Methods for 2D Schrödinger Operators with Discontinuous Periodic Potentials. 4356-4380
Huangxin Chen, Xuejun Xu: Local Multilevel Methods for Adaptive Finite Element Methods for Nonsymmetric and Indefinite Elliptic Boundary Value Problems. 4492-4516
Xuejun Xu, Lizhen Qin: Spectral Analysis of Dirichlet-Neumann Operators and Optimized Schwarz Methods with Robin Transmission Conditions. 4540-4568
Wolfgang Boiger, Carsten Carstensen: On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems. 4569-4580
C. V. Pao, Xin Lu: Block Monotone Iterative Method for Semilinear Parabolic Equations with Nonlinear Boundary Conditions. 4581-4606
Matthias Heinkenschloss, Dmitriy Leykekhman: Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems. 4607-4638