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

- L. Banjai, S. 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 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

- M. 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, I. G. Kevrekidis:
Condition Estimates for Pseudo-Arclength Continuation.
263-276

- Gabriel Acosta, María G. 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 Makridakis, Mario Ohlberger:
Error Control for a Class of Runge-Kutta Discontinuous Galerkin Methods for Nonlinear Conservation Laws.
514-538

- T. J. R. Hughes, G. 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 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

- S. González-Pinto, D. 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

- J. M. 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, J. 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

- Nicolas 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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