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ORCIDSIAM 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 - Stefan A. 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, Yiming 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, Andrew 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 G. 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, Michael 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 B. 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 B. 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, Gianmarco 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 - Bouchaib 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 - Robert V. Kohn, Henrique 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 - Mohammad Asadzadeh, Alfred H. Schatz, Wolfgang L. 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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