SIAM Journal on Numerical Analysis, Volume 48

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 R^N, 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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