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SIAM Journal on Numerical Analysis, Volume 50
Volume 50, Number 1, 2012
- Alina Chertock
, Jian-Guo Liu
Convergence of a Particle Method and Global Weak Solutions of a Family of Evolutionary PDEs. 1-21 - Troy D. Butler, Donald J. Estep, Jeff Sandelin:
A Computational Measure Theoretic Approach to Inverse Sensitivity Problems II: A Posteriori Error Analysis. 22-45 - Saifon Chaturantabut, Danny C. Sorensen:
A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction. 46-63 - Mathew A. Johnson
Convergence of Hill's Method for Nonselfadjoint Operators. 64-78 - Yan Xu
Optimal Error Estimates of the Semidiscrete Local Discontinuous Galerkin Methods for High Order Wave Equations. 79-104 - Jie Shen
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich-Schwoebel Type Energy: Application to Thin Film Epitaxy. 105-125 - Sigal Gottlieb, Florentina Tone, Cheng Wang, Xiaoming Wang
Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier-Stokes Equations. 126-150 - Zhiqiang Cai, Shun Zhang
Robust Equilibrated Residual Error Estimator for Diffusion Problems: Conforming Elements. 151-170 - Jiawei Chiu, Laurent Demanet:
Matrix Probing and its Conditioning. 171-193 - Carlo D'Angelo:
Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces: Applications to One- and Three-dimensional Coupled Problems. 194-215 - Julia Charrier:
Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients. 216-246 - Gregory E. Fasshauer, Fred J. Hickernell
On Dimension-independent Rates of Convergence for Function Approximation with Gaussian Kernels. 247-271 - Ahmed Naga, Zhimin Zhang:
Function Value Recovery and Its Application in Eigenvalue Problems. 272-286 - Marko Lindner
Finite Sections of Random Jacobi Operators. 287-306 - María José Cantero, Arieh Iserles:
On Rapid Computation of Expansions in Ultraspherical Polynomials. 307-327 - Andrei Draganescu
Multigrid Preconditioning of Linear Systems for Interior Point Methods Applied to a Class of Box-constrained Optimal Control Problems. 328-353 - Nan Li, Lihong Zhi:
Computing Isolated Singular Solutions of Polynomial Systems: Case of Breadth One. 354-372
Volume 50, Number 2, 2012
- L. Belenki, Luigi C. Berselli
On the Finite Element Approximation of p-Stokes Systems. 373-397 - Santiago Badia
A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions. 398-417 - Robert Altmann, Carsten Carstensen:
P1-Nonconforming Finite Elements on Triangulations into Triangles and Quadrilaterals. 418-438 - Jan G. Verwer:
Composition Methods, Maxwell's Equations, and Source Terms. 439-457 - Przemyslaw Wojtaszczyk:
1 Minimization with Noisy Data. 458-467 - Christophe Berthon, Bruno Dubroca, Afeintou Sangam:
A Local Entropy Minimum Principle for Deriving Entropy Preserving Schemes. 468-491 - Weizhu Bao
Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator. 492-521 - Carsten Carstensen, David Günther, Hella Rabus:
Mixed Finite Element Method for a Degenerate Convex Variational Problem from Topology Optimization. 522-543 - Ulrik S. Fjordholm
Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws. 544-573 - Christoph Erath
Coupling of the Finite Volume Element Method and the Boundary Element Method: An a Priori Convergence Result. 574-594 - Jan Hendrik Witte, Christoph Reisinger
Penalty Methods for the Solution of Discrete HJB Equations - Continuous Control and Obstacle Problems. 595-625 - Junping Wang, Ran Zhang:
Maximum Principles for P1-Conforming Finite Element Approximations of Quasi-linear Second Order Elliptic Equations. 626-642 - Georges Klein, Jean-Paul Berrut:
Linear Rational Finite Differences from Derivatives of Barycentric Rational Interpolants. 643-656 - Thirupathi Gudi
Finite Element Method for a Nonlocal Problem of Kirchhoff Type. 657-668 - Rodolfo Araya
Convergence Analysis of a Residual Local Projection Finite Element Method for the Navier-Stokes Equations. 669-699 - Bingsheng He, Xiaoming Yuan
On the O(1/n) Convergence Rate of the Douglas-Rachford Alternating Direction Method. 700-709 - Olaf Steinbach
Convergence Analysis of a Galerkin Boundary Element Method for the Dirichlet Laplacian Eigenvalue Problem. 710-728 - Philipp Dörsek:
Semigroup Splitting and Cubature Approximations for the Stochastic Navier-Stokes Equations. 729-746 - Gilles Pagès
Intrinsic Stationarity for Vector Quantization: Foundation of Dual Quantization. 747-780 - Michael Gnewuch, Magnus Wahlström
A New Randomized Algorithm to Approximate the Star Discrepancy Based on Threshold Accepting. 781-807 - Stella Krell, Gianmarco Manzini
The Discrete Duality Finite Volume Method for Stokes Equations on Three-Dimensional Polyhedral Meshes. 808-837 - Daniela Schräder, Holger Wendland
An Extended Error Analysis for a Meshfree Discretization Method of Darcy's Problem. 838-857 - Marta Benítez
Numerical Analysis of a Second order Pure Lagrange-Galerkin Method for Convection-Diffusion Problems. Part I: Time Discretization. 858-882 - Roberto Natalini
Asymptotic High Order Mass-Preserving Schemes for a Hyperbolic Model of Chemotaxis. 883-905 - JaEun Ku
Local A Posteriori Estimates on a Nonconvex Polygonal Domain. 906-924 - Marie Doumic
Nonparametric Estimation of the Division Rate of a Size-Structured Population. 925-950 - Sören Bartels, Alexander Mielke, Tomás Roubícek
Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation. 951-976 - Nicola Guglielmi
Erratum/Addendum: Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking. 977-981
Volume 50, Number 3, 2012
- Jianping Zhang
An Iterative Lagrange Multiplier Method for Constrained Total-Variation-Based Image Denoising. 983-1003 - Clark R. Dohrmann, Olof B. Widlund:
An Iterative Substructuring Algorithm for Two-Dimensional Problems in H(curl). 1004-1028 - Carsten Carstensen, Joscha Gedicke
An Adaptive Finite Element Eigenvalue Solver of Asymptotic Quasi-Optimal Computational Complexity. 1029-1057 - Erwan Deriaz:
Stability Conditions for the Numerical Solution of Convection-Dominated Problems with Skew-Symmetric Discretizations. 1058-1085 - Ivan Cimrák
Material and Shape Derivative Method for Quasi-Linear Elliptic Systems with Applications in Inverse Electromagnetic Interface Problems. 1086-1110 - Giovanni Russo
Convergence of a Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation. 1111-1135 - Jie Shen
On the Approximation of the Fokker-Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model I: A New Weighted Formulation and an Optimal Spectral-Galerkin Algorithm in Two Dimensions. 1136-1161 - Sören Bartels:
Total Variation Minimization with Finite Elements: Convergence and Iterative Solution. 1162-1180 - Jan Cesenek, Miloslav Feistauer
Theory of the Space-Time Discontinuous Galerkin Method for Nonstationary Parabolic Problems with Nonlinear Convection and Diffusion. 1181-1206 - Hailiang Liu, Hui Yu:
An Entropy Satisfying Conservative Method for the Fokker-Planck Equation of the Finitely Extensible Nonlinear Elastic Dumbbell Model. 1207-1239 - Shuhuang Xiang
On Error Bounds for Orthogonal Polynomial Expansions and Gauss-Type Quadrature. 1240-1263 - Carsten Carstensen, Hella Rabus:
The Adaptive Nonconforming FEM for the Pure Displacement Problem in Linear Elasticity is Optimal and Robust. 1264-1283 - Adérito Araújo
Stability of Finite Difference Schemes for Complex Diffusion Processes. 1284-1296 - Jeffrey M. Connors, Jason S. Howell
Decoupled Time Stepping Methods for Fluid-Fluid Interaction. 1297-1319 - Xiaobing Feng, Steven M. Wise
Analysis of a Darcy-Cahn-Hilliard Diffuse Interface Model for the Hele-Shaw Flow and Its Fully Discrete Finite Element Approximation. 1320-1343 - Agustín Bompadre, Bernd Schmidt, Michael Ortiz:
Convergence Analysis of Meshfree Approximation Schemes. 1344-1366 - Sajid Memon, Neela Nataraj, Amiya Kumar Pani:
An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems. 1367-1393 - Lourenço Beirão da Veiga
Overlapping Schwarz Methods for Isogeometric Analysis. 1394-1416 - Bernardo Cockburn
Superconvergent HDG Methods on Isoparametric Elements for Second-Order Elliptic Problems. 1417-1432 - Alexey Chernov, Christoph Schwab:
Exponential Convergence of Gauss-Jacobi Quadratures for Singular Integrals over Simplices in Arbitrary Dimension. 1433-1455 - Dimitri Breda
Approximation of Eigenvalues of Evolution Operators for Linear Retarded Functional Differential Equations. 1456-1483 - Thomas Apel, Thomas G. Flaig:
Crank-Nicolson Schemes for Optimal Control Problems with Evolution Equations. 1484-1512 - Congpei An, Xiaojun Chen
Regularized Least Squares Approximations on the Sphere Using Spherical Designs. 1513-1534 - Ya-nan Zhang, Zhi-Zhong Sun, Xuan Zhao:
Compact Alternating Direction Implicit Scheme for the Two-Dimensional Fractional Diffusion-Wave Equation. 1535-1555 - Heinz-Otto Kreiss, N. Anders Petersson:
Boundary Estimates for the Elastic Wave Equation in Almost Incompressible Materials. 1556-1580 - O. Bruno, D. Hoch:
Numerical Differentiation of Approximated Functions with Limited Order-of-Accuracy Deterioration. 1581-1603 - Tymofiy Gerasimov, Athanasios Stylianou
Corners Give Problems When Decoupling Fourth Order Equations Into Second Order Systems. 1604-1623 - Alan Demlow, Maxim A. Olshanskii
An Adaptive Surface Finite Element Method Based on Volume Meshes. 1624-1647 - Gabriel N. Gatica
Analysis of the Coupling of Lagrange and Arnold-Falk-Winther Finite Elements for a Fluid-Solid Interaction Problem in Three Dimensions. 1648-1674 - Robert Scheichl
Multilevel Methods for Elliptic Problems with Highly Varying Coefficients on Nonaligned Coarse Grids. 1675-1694 - Laslo T. Diosady, David L. Darmofal
A Unified Analysis of Balancing Domain Decomposition by Constraints for Discontinuous Galerkin Discretizations. 1695-1712 - Ricardo Pachón, Pedro Gonnet
Fast and Stable Rational Interpolation in Roots of Unity and Chebyshev Points. 1713-1734 - Arnaud Debussche, Erwan Faou:
Weak Backward Error Analysis for SDEs. 1735-1752 - Edward J. Fuselier, Grady B. Wright:
Scattered Data Interpolation on Embedded Submanifolds with Restricted Positive Definite Kernels: Sobolev Error Estimates. 1753-1776 - Stefan Kunis, Ines Melzer:
A Stable and Accurate Butterfly Sparse Fourier Transform. 1777-1800 - Tan Bui-Thanh
Analysis of an hp-Nonconforming Discontinuous Galerkin Spectral Element Method for Wave Propagation. 1801-1826
Volume 50, Number 4, 2012
- Martin Berggren
Weak Material Approximation of Holes with Traction-Free Boundaries. 1827-1848 - Michelle Ghrist, Bengt Fornberg
Two Results Concerning the Stability of Staggered Multistep Methods. 1849-1860 - Y. Huang, Peter A. Forsyth, George Labahn:
Combined Fixed Point and Policy Iteration for Hamilton-Jacobi-Bellman Equations in Finance. 1861-1882 - Andrea Braides
A Quantitative Description of Mesh Dependence for the Discretization of Singularly Perturbed Nonconvex Problems. 1883-1898 - Jingyan Zhang, Qiang Du
Shrinking Dimer Dynamics and Its Applications to Saddle Point Search. 1899-1921 - Guannan Zhang
Error Analysis of a Stochastic Collocation Method for Parabolic Partial Differential Equations with Random Input Data. 1922-1940 - Do Y. Kwak:
A New Class of Higher Order Mixed Finite Volume Methods for Elliptic Problems. 1941-1958 - Erik Burman
A Penalty-Free Nonsymmetric Nitsche-Type Method for the Weak Imposition of Boundary Conditions. 1959-1981 - Jinhai Chen, Matthias Gerdts
Smoothing Technique of Nonsmooth Newton Methods for Control-State Constrained Optimal Control Problems. 1982-2011 - Dmitriy Leykekhman
Local Error Analysis of Discontinuous Galerkin Methods for Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems. 2012-2038 - Alexei Bespalov
A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data. 2039-2063 - Jens Markus Melenk, Barbara I. Wohlmuth:
Quasi-Optimal Approximation of Surface Based Lagrange Multipliers in Finite Element Methods. 2064-2087 - Susanne C. Brenner, Shiyuan Gu, Thirupathi Gudi
A Quadratic C0 Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn-Hilliard Type. 2088-2110 - Martin J. Gander
Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle. 2111-2135 - Philippe G. LeFloch, Hasan Makhlof, Baver Okutmustur
Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation. 2136-2158
Volume 50, Number 5, 2012
- Alan Demlow, Emmanuil H. Georgoulis:
Pointwise a Posteriori Error Control for Discontinuous Galerkin Methods for Elliptic Problems. 2159-2181 - Bernhard A. Schmitt
Peer Two-Step Methods with Embedded Sensitivity Approximation for Parameter-Dependent ODEs. 2182-2207 - Sabrina Gippert, Axel Klawonn
Analysis of FETI-DP and BDDC for Linear Elasticity in 3D with Almost Incompressible Components and Varying Coefficients Inside Subdomains. 2208-2236 - David F. Anderson
An Efficient Finite Difference Method for Parameter Sensitivities of Continuous Time Markov Chains. 2237-2258 - Habib Ammari, Elie Bretin, Josselin Garnier, Vincent Jugnon:
Coherent Interferometry Algorithms for Photoacoustic Imaging. 2259-2280 - Eduardo Casas
A Discontinuous Galerkin Time-Stepping Scheme for the Velocity Tracking Problem. 2281-2306 - Vincent J. Ervin
Numerical Analysis of Filter-Based Stabilization for Evolution Equations. 2307-2335 - Xiong Meng, Chi-Wang Shu
Superconvergence of Discontinuous Galerkin Methods for Scalar Nonlinear Conservation Laws in One Space Dimension. 2336-2356 - Sergej Rjasanow, Steffen Weißer
Higher Order BEM-Based FEM on Polygonal Meshes. 2357-2378 - Junliang Lv, Yonghai Li:
Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes. 2379-2399 - Patrick Hild, Yves Renard:
An Improved a Priori Error Analysis for Finite Element Approximations of Signorini's Problem. 2400-2419 - Wolfgang Dahmen, Chunyan Huang, Christoph Schwab, Gerrit Welper:
Adaptive Petrov-Galerkin Methods for First Order Transport Equations. 2420-2445 - Ming-Jun Lai
Piecewise Linear Approximation of the Continuous Rudin-Osher-Fatemi Model for Image Denoising. 2446-2466 - Erich Carelli, Andreas Prohl:
Rates of Convergence for Discretizations of the Stochastic Incompressible Navier-Stokes Equations. 2467-2496 - Leandro M. Del Pezzo
Interior Penalty Discontinuous Galerkin FEM for the p(x)-Laplacian. 2497-2521 - Clark R. Dohrmann, Olof B. Widlund:
An Alternative Coarse Space for Irregular Subdomains and an Overlapping Schwarz Algorithm for Scalar Elliptic Problems in the Plane. 2522-2537 - Alexander Rand:
Average Interpolation under the Maximum Angle Condition. 2538-2559 - Stefan Güttel
Convergence of Linear Barycentric Rational Interpolation for Analytic Functions. 2560-2580 - Shuhuang Xiang
On the Convergence Rates of Gauss and Clenshaw-Curtis Quadrature for Functions of Limited Regularity. 2581-2587 - Laurence Halpern, Caroline Japhet
Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems. 2588-2611 - Hongxing Rui, Hao Pan:
A Block-Centered Finite Difference Method for the Darcy-Forchheimer Model. 2612-2631 - Zhiming Chen, Xinming Wu:
Long-Time Stability and Convergence of the Uniaxial Perfectly Matched Layer Method for Time-Domain Acoustic Scattering Problems. 2632-2655 - Bernard Haasdonk, Julien Salomon, Barbara I. Wohlmuth:
A Reduced Basis Method for Parametrized Variational Inequalities. 2656-2676 - Gerhard Dziuk, Charles M. Elliott:
A Fully Discrete Evolving Surface Finite Element Method. 2677-2694 - Gasper Jaklic, Jernej Kozak, Marjeta Krajnc
Hermite Geometric Interpolation by Rational Bézier Spatial Curves. 2695-2715 - Masatake Hirao, Hiroshi Nozaki, Masanori Sawa, Vesselin Vatchev:
A New Approach for the Existence Problem of Minimal Cubature Formulas Based on the Larman-Rogers-Seidel Theorem. 2716-2728 - Runchang Lin, Martin Stynes
A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems. 2729-2743 - Aurora Marica, Enrique Zuazua
On the Quadratic Finite Element Approximation of One-Dimensional Waves: Propagation, Observation, and Control. 2744-2777 - Bernardo Cockburn
Coupling of Raviart-Thomas and Hybridizable Discontinuous Galerkin Methods with BEM. 2778-2801
Volume 50, Number 6, 2012
- Carsten Carstensen, Daniel Peterseim
Comparison Results of Finite Element Methods for the Poisson Model Problem. 2803-2823 - Marta Benítez
Numerical Analysis of a Second Order Pure Lagrange-Galerkin Method for Convection-Diffusion Problems. Part II: Fully Discretized Scheme and Numerical Results. 2824-2844 - Eberhard Bänsch, Fotini Karakatsani, Charalambos G. Makridakis:
A Posteriori Error Control for Fully Discrete Crank-Nicolson Schemes. 2845-2872 - Thomas Dunst, Erika Hausenblas
Approximate Euler Method for Parabolic Stochastic Partial Differential Equations Driven by Space-Time Lévy Noise. 2873-2896 - Luigi Brugnano
Energy- and Quadratic Invariants-Preserving Integrators Based upon Gauss Collocation Formulae. 2897-2916 - Erich Carelli, Erika Hausenblas
Time-Splitting Methods to Solve the Stochastic Incompressible Stokes Equation. 2917-2939 - Christoph Ortner
Construction and Sharp Consistency Estimates for Atomistic/Continuum Coupling Methods with General Interfaces: A Two-Dimensional Model Problem. 2940-2965 - Zhimin Zhang:
Superconvergence Points of Polynomial Spectral Interpolation. 2966-2985 - Yang Liu, Yoichiro Mori
Properties of Discrete Delta Functions and Local Convergence of the Immersed Boundary Method. 2986-3015 - Eric Cancès, Virginie Ehrlacher, Yvon Maday:
Periodic Schrödinger Operators with Local Defects and Spectral Pollution. 3016-3035 - Clément Cancès
Error Estimate for Godunov Approximation of Locally Constrained Conservation Laws. 3036-3060 - Navamita Ray
High-Order Numerical Integration over Discrete Surfaces. 3061-3083 - Rodolfo Bermejo, Pedro Galán del Sastre
A Second Order in Time Modified Lagrange-Galerkin Finite Element Method for the Incompressible Navier-Stokes Equations. 3084-3109 - Yang Yang, Chi-Wang Shu
Analysis of Optimal Superconvergence of Discontinuous Galerkin Method for Linear Hyperbolic Equations. 3110-3133 - Ralf Massjung:
An Unfitted Discontinuous Galerkin Method Applied to Elliptic Interface Problems. 3134-3162 - Annette F. Stephansen
Convergence of the Multipoint Flux Approximation L-Method on General Grids. 3163-3187 - Klaus Neymeyr
A Geometric Convergence Theory for the Preconditioned Steepest Descent Iteration. 3188-3207 - Huo-Yuan Duan, Sha Li, Roger C. E. Tan, Weiying Zheng:
A Delta-Regularization Finite Element Method for a Double Curl Problem with Divergence-Free Constraint. 3208-3230 - Mechthild Thalhammer:
Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations. 3231-3258 - Shi Jin, Dongming Wei:
A Particle Method for the Semiclassical Limit of the Schrödinger Equation and the Vlasov-Poisson Equations. 3259-3279 - Stefania Bellavia
A Preconditioning Framework for Sequences of Diagonally Modified Linear Systems Arising in Optimization. 3280-3302 - Thomas März, Colin B. Macdonald:
Calculus on Surfaces with General Closest Point Functions. 3303-3328 - Susanne C. Brenner, Li-Yeng Sung, Hongchao Zhang, Yi Zhang:
A Quadratic C0 Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates. 3329-3350 - Frances Y. Kuo
Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients. 3351-3374 - Yulia T. Peet
Stability Analysis of Interface Temporal Discretization in Grid Overlapping Methods. 3375-3401
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