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ORCIDSIAM Journal on Numerical Analysis, Volume 45
Volume 45, Number 1, 2007
- Robert Eymard
, Raphaèle Herbin, Jean-Claude Latché:
Convergence Analysis of a Colocated Finite Volume Scheme for the Incompressible Navier-Stokes Equations on General 2D or 3D Meshes. 1-36 - Lehel Banjai, Stefan A. Sauter:
A Refined Galerkin Error and Stability Analysis for Highly Indefinite Variational Problems. 37-53 - Sergej Rjasanow, Wolfgang Wagner:
Time Splitting Error in DSMC Schemes for the Spatially Homogeneous Inelastic Boltzmann Equation. 54-67 - Carsten Carstensen, Jun Hu, Antonio Orlando:
Framework for the A Posteriori Error Analysis of Nonconforming Finite Elements. 68-82 - Jianliang Qian, Yong-Tao Zhang, Hong-Kai Zhao:
Fast Sweeping Methods for Eikonal Equations on Triangular Meshes. 83-107 - Yuan Xu, Oleg Tischenko, Christoph Hoeschen:
Approximation and Reconstruction from Attenuated Radon Projections. 108-132 - Rob P. Stevenson:
Composite Wavelet Bases with Extended Stability and Cancellation Properties. 133-162 - Thirupathi Gudi, Amiya Kumar Pani:
Discontinuous Galerkin Methods for Quasi-Linear Elliptic Problems of Nonmonotone Type. 163-192 - Mark A. Taylor, Beth A. Wingate, Len P. Bos:
A Cardinal Function Algorithm for Computing Multivariate Quadrature Points. 193-205 - Jan Maes, Angela Kunoth, Adhemar Bultheel:
BPX-type Preconditioners for Second and Fourth Order Elliptic Problems on the Sphere. 206-222 - Thomas F. Russell, Mary F. Wheeler, Ivan Yotov:
Superconvergence for Control-Volume Mixed Finite Element Methods on Rectangular Grids. 223-235 - Markus Neher, Kenneth R. Jackson, Nedialko S. Nedialkov:
On Taylor Model Based Integration of ODEs. 236-262 - K. I. Dickson, C. T. Kelley, Ilse C. F. Ipsen, Ioannis G. Kevrekidis:
Condition Estimates for Pseudo-Arclength Continuation. 263-276 - Gabriel Acosta, María Gabriela Armentano, Ricardo G. Durán, Ariel L. Lombardi:
Finite Element Approximations in a NonLipschitz Domain. 277-295 - Fang Liu, Aihui Zhou:
Two-Scale Boolean Galerkin Discretizations for Fredholm Integral Equations of the Second Kind. 296-312 - Ping Lin:
Convergence Analysis of a Quasi-Continuum Approximation for a Two-Dimensional Material Without Defects. 313-332 - Robert Schaback:
Convergence of Unsymmetric Kernel-Based Meshless Collocation Methods. 333-351 - Jun Shen, Chi-Wang Shu, Mengping Zhang:
High Resolution Schemes for a Hierarchical Size-Structured Model. 352-370 - Gerhard Starke:
An Adaptive Least-Squares Mixed Finite Element Method for Elasto-Plasticity. 371-388 - Juan E. Santos, Dongwoo Sheen:
Finite Element Methods for the Simulation of Waves in Composite Saturated Poroviscoelastic Media. 389-420 - Alan Demlow, Gerhard Dziuk:
An Adaptive Finite Element Method for the Laplace-Beltrami Operator on Implicitly Defined Surfaces. 421-442 - Givi Berikelashvili, Murli M. Gupta, Manana Mirianashvili:
Convergence of Fourth Order Compact Difference Schemes for Three-Dimensional Convection-Diffusion Equations. 443-455
Volume 45, Number 2, 2007
- Lars Diening, Carsten Ebmeyer, Michael Ruzicka:
Optimal Convergence for the Implicit Space-Time Discretization of Parabolic Systems with p-Structure. 457-472 - Amin Boumenir, Vu Kim Tuan:
Sampling Eigenvalues in Hardy Spaces. 473-483 - Juergen Rodenkirchen:
Maximum L2-Convergence Rates of the Crank-Nicolson Scheme to the Stokes Initial Value Problem. 484-499 - Zdenek Dostál, David Horák:
Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities. 500-513 - Andreas Dedner, Charalambos G. Makridakis, Mario Ohlberger:
Error Control for a Class of Runge-Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws. 514-538 - Thomas J. R. Hughes, Giancarlo Sangalli:
Variational Multiscale Analysis: the Fine-scale Green's Function, Projection, Optimization, Localization, and Stabilized Methods. 539-557 - Thomas Schmelzer, Lloyd N. Trefethen:
Computing the Gamma Function Using Contour Integrals and Rational Approximations. 558-571 - Vincent J. Ervin, Norbert Heuer, John Paul Roop:
Numerical Approximation of a Time Dependent, Nonlinear, Space-Fractional Diffusion Equation. 572-591 - Desmond J. Higham, Xuerong Mao, Chenggui Yuan:
Almost Sure and Moment Exponential Stability in the Numerical Simulation of Stochastic Differential Equations. 592-609 - Simon N. Chandler-Wilde, Stephen Langdon:
A Galerkin Boundary Element Method for High Frequency Scattering by Convex Polygons. 610-640 - Ohannes A. Karakashian, Frédéric Pascal:
Convergence of Adaptive Discontinuous Galerkin Approximations of Second-Order Elliptic Problems. 641-665 - Martin J. Gander, Laurence Halpern:
Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems. 666-697 - Benqi Guo, Weiwei Sun:
The Optimal Convergence of the h-p Version of the Finite Element Method with Quasi-Uniform Meshes. 698-730 - Garvin Danisch, Gerhard Starke:
First-Order System Least-Squares for Darcy-Stokes Flow. 731-745 - Bernhard Beckermann, Stefano Serra-Capizzano:
On the Asymptotic Spectrum of Finite Element Matrix Sequences. 746-769 - Bernardo de la Calle Ysern, Franz Peherstorfer:
Ultraspherical Stieltjes Polynomials and Gauss-Kronrod Quadrature Behave Nicely for Lambda< 0. 770-786 - Eunjung Lee, Thomas A. Manteuffel:
FOSLL∗ Method for the Eddy Current Problem with Three-Dimensional Edge Singularities. 787-809 - Florian Frühauf, Bastian Gebauer, Otmar Scherzer:
Detecting Interfaces in a Parabolic-Elliptic Problem from Surface Measurements. 810-836 - Yinnian He, Weiwei Sun:
Stability and Convergence of the Crank-Nicolson/Adams-Bashforth scheme for the Time-Dependent Navier-Stokes Equations. 837-869 - Gabriel J. Lord, Tony Shardlow:
Postprocessing for Stochastic Parabolic Partial Differential Equations. 870-889 - Konstantin Avrachenkov, Nelly Litvak, Danil Nemirovsky, Natalia Osipova:
Monte Carlo Methods in PageRank Computation: When One Iteration is Sufficient. 890-904
Volume 45, Number 3, 2007
- John W. Barrett, Sören Bartels, Xiaobing Feng, Andreas Prohl:
A Convergent and Constraint-Preserving Finite Element Method for the p-Harmonic Flow into Spheres. 905-927 - Sergey I. Repin, Stefan A. Sauter, Anton Smolianski:
Two-Sided A Posteriori Error Estimates for Mixed Formulations of Elliptic Problems. 928-945 - Isabelle Greff:
Nonconforming Box-Schemes for Elliptic Problems on Rectangular Grids. 946-968 - Severiano González-Pinto, Domingo Hernández-Abreu:
On the Contractivity and Convergence of General Linear Methods on Semi-Infinite Intervals. 969-985 - Hermann Brunner, Qiya Hu:
Optimal Superconvergence Results for Delay Integro-Differential Equations of Pantograph Type. 986-1004 - Ivo Babuska, Fabio Nobile, Raúl Tempone:
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data. 1005-1034 - Yvan Notay:
Convergence Analysis of Perturbed Two-Grid and Multigrid Methods. 1035-1044 - Kou-Kung Alex Chang:
The Stability of Front-Tracking Scheme for Two Spatial Dimensional Miscible Two Phase Flow. 1045-1063 - Jeffrey S. Ovall:
Function, Gradient, and Hessian Recovery Using Quadratic Edge-Bump Functions. 1064-1080 - C. V. Pao:
Numerical Methods for Quasi-Linear Elliptic Equations with Nonlinear Boundary Conditions. 1081-1106 - Juan Manuel Peña:
Strict Diagonal Dominance and Optimal Bounds for the Skeel Condition Number. 1107-1108 - Jürgen Hartinger, Volker Ziegler:
On Corner Avoidance Properties of Random-Start Halton Sequences. 1109-1121 - Bernd Hofmann, Peter Mathé:
Analysis of Profile Functions for General Linear Regularization Methods. 1122-1141 - Sarah Delcourte, Komla Domelevo, Pascal Omnes:
A Discrete Duality Finite Volume Approach to Hodge Decomposition and div-curl Problems on Almost Arbitrary Two-Dimensional Meshes. 1142-1174 - Markus Holtz, Angela Kunoth:
B-Spline-Based Monotone Multigrid Methods. 1175-1199 - Gang Xie, Thomas Pok-Yin Yu:
Smoothness Equivalence Properties of Manifold-Valued Data Subdivision Schemes Based on the Projection Approach. 1200-1225 - M. N. Spijker:
Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems. 1226-1245 - Marco Discacciati, Alfio Quarteroni, Alberto Valli:
Robin-Robin Domain Decomposition Methods for the Stokes-Darcy Coupling. 1246-1268 - Junping Wang, Xiu Ye:
New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements. 1269-1286 - Chun Liu, Noel Walkington:
Convergence of Numerical Approximations of the Incompressible Navier-Stokes Equations with Variable Density and Viscosity. 1287-1304 - Hong Wang, Kaixin Wang:
Uniform Estimates for Eulerian-Lagrangian Methods for Singularly Perturbed Time-Dependent Problems. 1305-1329 - Xudong Yao, Jianxin Zhou:
Unified Convergence Results on a Minimax Algorithm for Finding Multiple Critical Points in Banach Spaces. 1330-1347
Volume 45, Number 4, 2007
- Jaap J. W. van der Vegt, Ferenc Izsák, Onno Bokhove:
Error Analysis of a Continuous-Discontinuous Galerkin Finite Element Method for Generalized 2D Vorticity Dynamics. 1349-1369 - Christoph Ortner, Endre Süli:
Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems. 1370-1397 - Sarah Day, Jean-Philippe Lessard, Konstantin Mischaikow:
Validated Continuation for Equilibria of PDEs. 1398-1424 - Hongyun Wang:
Convergence of a Numerical Method for Solving Discontinuous Fokker-Planck Equations. 1425-1452 - Huazhong Tang, Gerald Warnecke:
On Convergence of a Domain Decomposition Method for a Scalar Conservation Law. 1453-1471 - Mario Bebendorf:
Why Finite Element Discretizations Can Be Factored by Triangular Hierarchical Matrices. 1472-1494 - Owe Axelsson, János Karátson:
Mesh Independent Superlinear PCG Rates Via Compact-Equivalent Operators. 1495-1516 - Paul Deuring:
A Finite Element Method for 3D Exterior Oseen Flows: Error Estimates. 1517-1543 - Andris Lasis, Endre Süli:
hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems. 1544-1569 - Martin Vohralík:
A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations. 1570-1599 - Sebastiano Boscarino:
Error Analysis of IMEX Runge-Kutta Methods Derived from Differential-Algebraic Systems. 1600-1621 - Leo G. Rebholz:
An Energy- and Helicity-Conserving Finite Element Scheme for the Navier-Stokes Equations. 1622-1638 - So-Hsiang Chou, Xiu Ye:
Unified Analysis of Finite Volume Methods for Second Order Elliptic Problems. 1639-1653 - Andrea Cangiani, Endre Süli:
The Residual-Free-Bubble Finite Element Method on Anisotropic Partitions. 1654-1678 - Sven Groß, Arnold Reusken:
Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows. 1679-1700 - Haijun Wu, Zhimin Zhang:
Can We Have Superconvergent Gradient Recovery Under Adaptive Meshes? 1701-1722 - Peter Giesl, Holger Wendland:
Meshless Collocation: Error Estimates with Application to Dynamical Systems. 1723-1741 - Bernardo Cockburn, Jayadeep Gopalakrishnan, Haiying Wang:
Locally Conservative Fluxes for the Continuous Galerkin Method. 1742-1776 - Mark Ainsworth:
A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation. 1777-1798 - Borislav Bojanov, Yuan Xu:
Erratum: On a Hermite interpolation by polynomials of two variables. 1799-1800
Volume 45, Number 5, 2007
- Mo Mu, Jinchao Xu:
A Two-Grid Method of a Mixed Stokes-Darcy Model for Coupling Fluid Flow with Porous Media Flow. 1801-1813 - Laurent O. Jay:
Specialized Partitioned Additive Runge-Kutta Methods for Systems of Overdetermined DAEs with Holonomic Constraints. 1814-1842 - T. Tachim Medjo:
A Small Eddy Correction Method for a 3D Navier-Stokes-Type System of Equations Related to the Primitive Equations of the Ocean. 1843-1870 - Rong Wang, Raymond J. Spiteri:
Linear Instability of the Fifth-Order WENO Method. 1871-1901 - Stefan Nilsson, N. Anders Petersson, Björn Sjögreen, Heinz-Otto Kreiss:
Stable Difference Approximations for the Elastic Wave Equation in Second Order Formulation. 1902-1936 - Klaus Deckelnick, Michael Hinze:
Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem. 1937-1953 - Jie Shen, Li-lian Wang:
Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains. 1954-1978 - Emiliano Cristiani, Maurizio Falcone:
Fast Semi-Lagrangian Schemes for the Eikonal Equation and Applications. 1979-2011 - Patrick Hild, Yves Renard:
An Error Estimate for the Signorini Problem with Coulomb Friction Approximated by Finite Elements. 2012-2031 - Randolph E. Bank, Jinchao Xu, Bin Zheng:
Superconvergent Derivative Recovery for Lagrange Triangular Elements of Degree p on Unstructured Grids. 2032-2046 - Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg:
A Family of C0 Finite Elements For Kirchhoff Plates I: Error Analysis. 2047-2071 - Gabriel N. Gatica, Antonio Márquez, Salim Meddahi:
Analysis of the Coupling of Primal and Dual-Mixed Finite Element Methods for a Two-Dimensional Fluid-Solid Interaction Problem. 2072-2097 - Fausto Cavalli, Giovanni Naldi, Gabriella Puppo, Matteo Semplice:
High-Order Relaxation Schemes for Nonlinear Degenerate Diffusion Problems. 2098-2119 - Vincent J. Ervin, Hyesuk Lee:
Numerical Approximation of a Quasi-Newtonian Stokes Flow Problem with Defective Boundary Conditions. 2120-2140 - Josef Dick:
Explicit Constructions of Quasi-Monte Carlo Rules for the Numerical Integration of High-Dimensional Periodic Functions. 2141-2176 - Weizhu Bao, Hanquan Wang:
A Mass and Magnetization Conservative and Energy-Diminishing Numerical Method for Computing Ground State of Spin-1 Bose-Einstein Condensates. 2177-2200 - Benjamin Hackl:
Methods for Reliable Topology Changes for Perimeter-Regularized Geometric Inverse Problems. 2201-2227 - Claire Chainais-Hillairet, Jérôme Droniou:
Convergence Analysis of a Mixed Finite Volume Scheme for an Elliptic-Parabolic System Modeling Miscible Fluid Flows in Porous Media. 2228-2258
Volume 45, Number 6, 2007
- Philippe Poncet:
Analysis of Direct Three-Dimensional Parabolic Panel Methods. 2259-2297 - Long Chen, Michael J. Holst, Jinchao Xu:
The Finite Element Approximation of the Nonlinear Poisson-Boltzmann Equation. 2298-2320 - Sven Beuchler, Sergey V. Nepomnyaschikh:
Overlapping Additive Schwarz Preconditioners for Elliptic Problems with Degenerate Locally Anisotropic Coefficients. 2321-2344 - Daniele Bertaccini, Fabio Di Benedetto:
Spectral Analysis of Nonsymmetric Quasi-Toeplitz matrices with Applications to Preconditioned Multistep Formulas. 2345-2367 - Weiming Cao:
An Interpolation Error Estimate on Anisotropic Meshes in Rn and Optimal Metrics for Mesh Refinement. 2368-2391 - Leopoldo P. Franca, Volker John, Gunar Matthies, Lutz Tobiska:
An inf-sup Stable and Residual-Free Bubble Element for the Oseen Equations. 2392-2407 - Alina Chertock, Alexander Kurganov, Yurii Rykov:
A New Sticky Particle Method for Pressureless Gas Dynamics. 2408-2441 - Yingjie Liu, Chi-Wang Shu, Eitan Tadmor, Mengping Zhang:
Central Discontinuous Galerkin Methods on Overlapping Cells with a Nonoscillatory Hierarchical Reconstruction. 2442-2467 - Yvon Maday, Julien Salomon, Gabriel Turinici:
Monotonic Parareal Control for Quantum Systems. 2468-2482 - Ralf Hiptmair, Jinchao Xu:
Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces. 2483-2509 - Ed Bueler:
Error Bounds for Approximate Eigenvalues of Periodic-Coefficient Linear Delay Differential Equations. 2510-2536 - Huo-Yuan Duan, Ping Lin, P. Saikrishnan, Roger C. E. Tan:
A Least-Squares Finite Element Method for the Magnetostatic Problem in A Multiply Connected Lipschitz Domain. 2537-2563 - Wolfgang Gawronski, Jürgen Müller, Martin Reinhard:
Reduced Cancellation in the Evaluation of Entire Functions and Applications to the Error Function. 2564-2576 - Donald E. Marshall, Steffen Rohde:
Convergence of a Variant of the Zipper Algorithm for Conformal Mapping. 2577-2609 - Nicolai Bissantz, Thorsten Hohage, Axel Munk, Frits Ruymgaart:
Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications. 2610-2636 - M. I. M. Copetti:
Numerical Analysis of a Unilateral Problem in Planar Thermoelasticity. 2637-2652 - Christine Bernardi, Adel Blouza:
Spectral Discretization of a Naghdi Shell Model. 2653-2670 - Ralf Hartmann:
Adjoint Consistency Analysis of Discontinuous Galerkin Discretizations. 2671-2696
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