Volume 48, Number 1, 2010
- Stefania Bellavia, Coralia Cartis, Nicholas I. M. Gould, Benedetta Morini, Philippe L. Toint:
Convergence of a Regularized Euclidean Residual Algorithm for Nonlinear Least-Squares.
1-29

- Zhiqiang Cai, Shun Zhang:
Recovery-Based Error Estimators for Interface Problems: Mixed and Nonconforming Finite Elements.
30-52

- Jean-Luc Guermond, Guido Kanschat:
Asymptotic Analysis of Upwind Discontinuous Galerkin Approximation of the Radiative Transport Equation in the Diffusive Limit.
53-78

- Zhiqiang Cai, Chunbo Wang, Shun Zhang:
Mixed Finite Element Methods for Incompressible Flow: Stationary Navier-Stokes Equations.
79-94

- S. Sauter:
hp-Finite Elements for Elliptic Eigenvalue Problems: Error Estimates Which Are Explicit with Respect to Lambda, h, and p.
95-108

- Georgios Akrivis, Panagiotis Chatzipantelidis:
A Posteriori Error Estimates for the Two-Step Backward Differentiation Formula Method for Parabolic Equations.
109-132

- Bernardo Cockburn, Bo Dong, Johnny Guzmán, Jianliang Qian:
Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity.
133-146

- Benqi Guo, Ivo Babuska:
Local Jacobi Operators and Applications to the p-Version of Finite Element Method in Two Dimensions.
147-163

- Erich Carelli, Jonas Haehnle, Andreas Prohl:
Convergence Analysis for Incompressible Generalized Newtonian Fluid Flows with Nonstandard Anisotropic Growth Conditions.
164-190

- Gang Wu, Yimin Wei:
On Analysis of Projection Methods for Rational Function Approximation to the Matrix Exponential.
191-197

- Alexandre Ern, Martin Vohralík:
A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation.
198-223

- Jérémie Bigot, Sébastien Gadat:
Smoothing under Diffeomorphic Constraints with Homeomorphic Splines.
224-243

- Drahoslava Janovská, Gerhard Opfer:
A Note on the Computation of All Zeros of Simple Quaternionic Polynomials.
244-256

- Emmanuel Gobet, Céline Labart:
Solving BSDE with Adaptive Control Variate.
257-277

- Nawaf Bou-Rabee, Houman Owhadi:
Long-Run Accuracy of Variational Integrators in the Stochastic Context.
278-297

- Evelyn Buckwar, Cónall Kelly:
Towards a Systematic Linear Stability Analysis of Numerical Methods for Systems of Stochastic Differential Equations.
298-321

- S. L. Cotter, M. Dashti, A. M. Stuart:
Approximation of Bayesian Inverse Problems for PDEs.
322-345

- Mark Ainsworth, Hafiz Abdul Wajid:
Optimally Blended Spectral-Finite Element Scheme for Wave Propagation and NonStandard Reduced Integration.
346-371

- Annegret Glitzky, Jens A. Griepentrog:
Discrete Sobolev-Poincaré Inequalities for Voronoi Finite Volume Approximations.
372-391

Volume 48, Number 2, 2010
- Mohammed Bellalij, Yousef Saad, Hassane Sadok:
Further Analysis of the Arnoldi Process for Eigenvalue Problems.
393-407

- Mihály Kovács, Stig Larsson, Fardin Saedpanah:
Finite Element Approximation of the Linear Stochastic Wave Equation with Additive Noise.
408-427

- Sonja Cox, Jan van Neerven:
Convergence Rates of the Splitting Scheme for Parabolic Linear Stochastic Cauchy Problems.
428-451

- Javier Segura:
Reliable Computation of the Zeros of Solutions of Second Order Linear ODEs Using a Fourth Order Method.
452-469

- Alan Demlow:
Convergence of an Adaptive Finite Element Method for Controlling Local Energy Errors.
470-497

- Ivo Babuska, Gabriel N. Gatica:
A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem.
498-523

- Sébastien Loisel, J. Côté, Martin J. Gander, L. Laayouni, A. Qaddouri:
Optimized Domain Decomposition Methods for the Spherical Laplacian.
524-551

- Jonathan C. Mattingly, Andrew M. Stuart, M. V. Tretyakov:
Convergence of Numerical Time-Averaging and Stationary Measures via Poisson Equations.
552-577

- Zhiqiang Cai, Shun Zhang:
Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations.
578-602

- Carlo Lovadina, David Mora, Rodolfo Rodríguez:
Approximation of the Buckling Problem for Reissner-Mindlin Plates.
603-632

- Giovanni Samaey, Wim Vanroose:
An Analysis of Equivalent Operator Preconditioning for Equation-Free Newton-Krylov Methods.
633-658

- Petr Knobloch:
A Generalization of the Local Projection Stabilization for Convection-Diffusion-Reaction Equations.
659-680

- Kaixin Wang, Hong Wang:
An Optimal-Order Error Estimate to ELLAM Schemes for Transient Advection-Diffusion Equations on Unstructured Meshes.
681-707

- Fei Wang, Weimin Han, Xiaoliang Cheng:
Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities.
708-733

- Andrea Bonito, Ricardo H. Nochetto:
Quasi-Optimal Convergence Rate of an Adaptive Discontinuous Galerkin Method.
734-771

- Xiangxiong Zhang, Chi-Wang Shu:
A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws.
772-795

Volume 48, Number 3, 2010
- Todd Arbogast, Wen-Hao Wang:
Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems.
797-823

- Ming Cui, Xiu Ye:
Unified Analysis of Finite Volume Methods for the Stokes Equations.
824-839

- Andreas App, Ulrich Reif:
Piecewise Linear Orthogonal Approximation.
840-856

- Bernardo Cockburn, Jayadeep Gopalakrishnan, F. Li, Ngoc Cuong Nguyen, Jaume Peraire:
Hybridization and Postprocessing Techniques for Mixed Eigenfunctions.
857-881

- Mike Giles, Stefan Ulbrich:
Convergence of Linearized and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 1: Linearized Approximations and Linearized Output Functionals.
882-904

- Mike Giles, Stefan Ulbrich:
Convergence of Linearized and Adjoint Approximations for Discontinuous Solutions of Conservation Laws. Part 2: Adjoint Approximations and Extensions.
905-921

- Andreas Rößler:
Runge-Kutta Methods for the Strong Approximation of Solutions of Stochastic Differential Equations.
922-952

- Javier de Frutos, Bosco García-Archilla, Julia Novo:
Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems.
953-979

- Siobhan Burke, Christoph Ortner, Endre Süli:
An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture.
980-1012

- Santiago Badia, Ramon Codina, Juan Vicente Gutiérrez-Santacreu:
Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier-Stokes Equations with Numerical Subgrid Scale Modeling.
1013-1037

- Qiang Zhang, Chi-Wang Shu:
Stability Analysis and A Priori Error Estimates of the Third Order Explicit Runge-Kutta Discontinuous Galerkin Method for Scalar Conservation Laws.
1038-1063

- Ismaël F. Bailleul, Peter L. W. Man, Markus Kraft:
A Stochastic Algorithm for Parametric Sensitivity in Smoluchowski's Coagulation Equation.
1064-1086

- Jie Shen, Li-lian Wang:
Sparse Spectral Approximations of High-Dimensional Problems Based on Hyperbolic Cross.
1087-1109

- Imran H. Biswas, Espen R. Jakobsen, Kenneth H. Karlsen:
Difference-Quadrature Schemes for Nonlinear Degenerate Parabolic Integro-PDE.
1110-1135

- Yves Achdou, Italo Capuzzo Dolcetta:
Mean Field Games: Numerical Methods.
1136-1162

- Wenbin Liu, Danping Yang, Lei Yuan, Chaoqun Ma:
Finite Element Approximations of an Optimal Control Problem with Integral State Constraint.
1163-1185

- Dongho Kim, Eun-Jae Park:
A Priori and A Posteriori Analysis of Mixed Finite Element Methods for Nonlinear Elliptic Equations.
1186-1207

- Bangti Jin, Dirk A. Lorenz:
Heuristic Parameter-Choice Rules for Convex Variational Regularization Based on Error Estimates.
1208-1229

Volume 48, Number 4, 2010
- Xin-min Xiang, Zhong-Qing Wang:
Generalized Hermite Spectral Method and its Applications to Problems in Unbounded Domains.
1231-1253

- Carla Manni, Marie-Laurence Mazure:
Shape Constraints and Optimal Bases for C1 Hermite Interpolatory Subdivision Schemes.
1254-1280

- Ross Ingram, Mary F. Wheeler, Ivan Yotov:
A Multipoint Flux Mixed Finite Element Method on Hexahedra.
1281-1312

- C. Bost, Georges-Henri Cottet, Emmanuel Maitre:
Convergence Analysis of a Penalization Method for the Three-Dimensional Motion of a Rigid Body in an Incompressible Viscous Fluid.
1313-1337

- Gabriel N. Gatica, George C. Hsiao, Salim Meddahi:
A Coupled Mixed Finite Element Method for the Interaction Problem between an Electromagnetic Field and an Elastic Body.
1338-1368

- Weidong Zhao, Guannan Zhang, Lili Ju:
A Stable Multistep Scheme for Solving Backward Stochastic Differential Equations.
1369-1394

- Martin Healey, Norbert Heuer:
Mortar Boundary Elements.
1395-1418

- L. Beirão da Veiga, Konstantin Lipnikov, G. Manzini:
Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes.
1419-1443

- Hong Wang, Kaixin Wang:
Uniform Estimates of an Eulerian-Lagrangian Method for Time-Dependent Convection-Diffusion Equations in Multiple Space Dimensions.
1444-1473

- Jian-Guo Liu, Luc Mieussens:
Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit.
1474-1491

- C. Yalçin Kaya:
Inexact Restoration for Runge-Kutta Discretization of Optimal Control Problems.
1492-1517

- Alexei Bespalov, Norbert Heuer, Ralf Hiptmair:
Convergence of the Natural hp-BEM for the Electric Field Integral Equation on Polyhedral Surfaces.
1518-1529

- Wenbin Chen, Xingjie Li, Dong Liang:
Energy-Conserved Splitting Finite-Difference Time-Domain Methods for Maxwell's Equations in Three Dimensions.
1530-1554

- Eric A. Machorro:
Discontinuous Finite Elements for a Hyperbolic Problem with Singular Coefficient: A Convergence Theory for One-Dimensional Spherical Transport.
1555-1578

- Xiaoyuan Yang, Yuanyuan Duan, Yuhua Guo:
A Posteriori Error Estimates for Finite Element Approximation of Unsteady Incompressible Stochastic Navier-Stokes Equations.
1579-1600

- Pawel Dlotko, Ruben Specogna:
Critical Analysis of the Spanning Tree Techniques.
1601-1624

Volume 48, Number 5, 2010
- Alexander Mielke, Laetitia Paoli, Adrien Petrov, Ulisse Stefanelli:
Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality.
1625-1646

- José Trashorras, Dimitrios K. Tsagkarogiannis:
From Mesoscale Back to Microscale: Reconstruction Schemes for Coarse-Grained Stochastic Lattice Systems.
1647-1677

- Christophe Chalons, Frédéric Coquel, Claude Marmignon:
Time-Implicit Approximation of the Multipressure Gas Dynamics Equations in Several Space Dimensions.
1678-1706

- B. Aylaj, A. Noussair:
Convergence of Numerical Schemes to a Nonlinear Kinetic Model of Population Dynamics with Nonlocal Boundary Conditions.
1707-1732

- François Bouchut, Tomás Morales de Luna:
A Subsonic-Well-Balanced Reconstruction Scheme for Shallow Water Flows.
1733-1758

- Kun Zhou, Qiang Du:
Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions.
1759-1780

- R. V. Kohn, H. M. Versieux:
Numerical Analysis of a Steepest-Descent PDE Model for Surface Relaxation below the Roughening Temperature.
1781-1800

- Gabriel R. Barrenechea, Frédéric Valentin:
Consistent Local Projection Stabilized Finite Element Methods.
1801-1825

- Volker Grimm, Martin Gugat:
Approximation of Semigroups and Related Operator Functions by Resolvent Series.
1826-1845

- Kenneth H. Karlsen, Trygve K. Karper:
A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow.
1846-1876

- Andrea Bonito, Ricardo H. Nochetto, M. Sebastian Pauletti:
Geometrically Consistent Mesh Modification.
1877-1899

- M. Colombeau:
A Method of Projection of Delta Waves in a Godunov Scheme and Application to Pressureless Fluid Dynamics.
1900-1919

- Huayi Wei, Long Chen, Yunqing Huang:
Superconvergence and Gradient Recovery of Linear Finite Elements for the Laplace-Beltrami Operator on General Surfaces.
1920-1943

- Hermann Brunner, Qiumei Huang, Hehu Xie:
Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type.
1944-1967

- Youngmok Jeon, Eun-Jae Park:
A Hybrid Discontinuous Galerkin Method for Elliptic Problems.
1968-1983

- Len Bos, Stefano De Marchi, Alvise Sommariva, Marco Vianello:
Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra.
1984-1999

- M. Asadzadeh, A. H. Schatz, W. Wendland:
Asymptotic Error Expansions for the Finite Element Method for Second Order Elliptic Problems in RN, N>=2. I: Local Interior Expansions.
2000-2017

Volume 48, Number 6, 2010
- Erik Burman, Alexandre Ern, Miguel A. Fernández:
Explicit Runge-Kutta Schemes and Finite Elements with Symmetric Stabilization for First-Order Linear PDE Systems.
2019-2042

- Thorsten Hüls:
Computing Sacker-Sell spectra in Discrete Time Dynamical Systems.
2043-2064

- Quoc Thong Le Gia, Ian H. Sloan, Holger Wendland:
Multiscale Analysis in Sobolev Spaces on the Sphere.
2065-2090

- Luca Gerardo-Giorda, Fabio Nobile, Christian Vergara:
Analysis and Optimization of Robin-Robin Partitioned Procedures in Fluid-Structure Interaction Problems.
2091-2116

- Do Y. Kwak, Kye T. Wee, Kwang S. Chang:
An Analysis of a Broken P1-Nonconforming Finite Element Method for Interface Problems.
2117-2134

- Congpei An, Xiaojun Chen, Ian H. Sloan, Robert S. Womersley:
Well Conditioned Spherical Designs for Integration and Interpolation on the Two-Sphere.
2135-2157

- Zhiming Chen, Weiying Zheng:
Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems in Two-Layered Media.
2158-2185

- Xiaobing Feng, Yinnian He:
Fully Discrete Finite Element Approximations of a Polymer Gel Model.
2186-2217

- Robert Eymard, Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché:
Convergence of the MAC Scheme for the Compressible Stokes Equations.
2218-2246

- François Bouchon, Gunther H. Peichl:
The Immersed Interface Technique for Parabolic Problems with Mixed Boundary Conditions.
2247-2266

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