Journal: SIAM J. Numerical Analysis

Volume 47, Issue 6

4021 -- 4043Long Chen. A New Class of High Order Finite Volume Methods for Second Order Elliptic Equations
4044 -- 4072Yingda Cheng, Chi-Wang Shu. Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusion Equations in One Space Dimension
4073 -- 4097Qiqi Wang, Parviz Moin, Gianluca Iaccarino. A Rational Interpolation Scheme with Superpolynomial Rate of Convergence
4098 -- 4111Zhiqiang Cai, JaEun Ku. Optimal Error Estimate for the Div Least-squares Method with Data f∈L:::2::: and Application to Nonlinear Problems
4112 -- 4141Mark Ainsworth, Richard Rankin. Fully Computable Error Bounds for Discontinuous Galerkin Finite Element Approximations on Meshes with an Arbitrary Number of Levels of Hanging Nodes
4142 -- 4162Hyea Hyun Kim, Chang-Ock Lee, Eun-Hee Park. A FETI-DP Formulation for the Stokes Problem without Primal Pressure Components
4163 -- 4192Yves Coudière, Gianmarco Manzini. The Discrete Duality Finite Volume Method for Convection-diffusion Problems
4193 -- 4213O. Angelini, C. Chavant, Eric Chénier, Robert Eymard. A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints
4214 -- 4238L. Beirão da Veiga, C. Chinosi, Carlo Lovadina, Luca F. Pavarino. Robust BDDC Preconditioners for Reissner-Mindlin Plate Bending Problems and MITC Elements
4239 -- 4256Yanzhao Cao, Max Gunzburger, Xiaolong Hu, Fei Hua, Xiaoming Wang, Weidong Zhao. Finite Element Approximations for Stokes-Darcy Flow with Beavers-Joseph Interface Conditions
4257 -- 4289Li-Qun Cao, Ya Zhang, Walter Allegretto, Yanping Lin. Multiscale Asymptotic Method for Maxwell s Equations in Composite Materials
4290 -- 4325Shoufu Li. High Order Contractive Runge-Kutta Methods for Volterra Functional Differential Equations
4326 -- 4355Daan Huybrechs. On the Fourier Extension of Nonperiodic Functions
4356 -- 4380Richard Norton, Robert Scheichl. Convergence Analysis of Planewave Expansion Methods for 2D Schrödinger Operators with Discontinuous Periodic Potentials
4381 -- 4401Hong-lin Liao, Zhi-zhong Sun, Han-sheng Shi. Error Estimate of Fourth-Order Compact Scheme for Linear Schrödinger Equations
4402 -- 4414Miodrag S. Petkovic. On a General Class of Multipoint Root-Finding Methods of High Computational Efficiency
4415 -- 4428Michael Döhler, Stefan Kunis, Daniel Potts. Nonequispaced Hyperbolic Cross Fast Fourier Transform
4429 -- 4445Ch. Eck, B. Jadamba, P. Knabner. Error Estimates for a Finite Element Discretization of a Phase Field Model for Mixtures
4446 -- 4472Jun Hu, Yunqing Huang. A Posteriori Error Analysis of Finite Element Methods for Reissner-Mindlin Plates
4473 -- 4491Dietrich Braess, Pingbing Ming, Zhongci Shi. Shear Locking in a Plane Elasticity Problem and the Enhanced Assumed Strain Method
4492 -- 4516Huangxin Chen, Xuejun Xu. Local Multilevel Methods for Adaptive Finite Element Methods for Nonsymmetric and Indefinite Elliptic Boundary Value Problems
4517 -- 4539Guy Bencteux, Eric Cancès, William W. Hager, Claude Le Bris. Analysis of a Quadratic Programming Decomposition Algorithm
4540 -- 4568Xuejun Xu, Lizhen Qin. Spectral Analysis of Dirichlet-Neumann Operators and Optimized Schwarz Methods with Robin Transmission Conditions
4569 -- 4580Wolfgang Boiger, Carsten Carstensen. On the Strong Convergence of Gradients in Stabilized Degenerate Convex Minimization Problems
4581 -- 4606C. V. Pao, Xin Lu. Block Monotone Iterative Method for Semilinear Parabolic Equations with Nonlinear Boundary Conditions
4607 -- 4638Matthias Heinkenschloss, Dmitriy Leykekhman. Local Error Estimates for SUPG Solutions of Advection-Dominated Elliptic Linear-Quadratic Optimal Control Problems
4639 -- 4659Roland Becker, Shipeng Mao, Zhongci Shi. A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity
4660 -- 4679Rob Haelterman, Joris Degroote, Dirk Van Heule, Jan A. Vierendeels. On the Similarities Between the Quasi-Newton Inverse Least Squares Method and GMRes
4680 -- 4710Noel Walkington. Compactness Properties of the DG and CG Time Stepping Schemes for Parabolic Equations
4711 -- 4734Afef Sellami. Quantization Based Filtering Method Using First Order Approximation
4735 -- 4758Qingxiang Xu, Yimin Wei, Yangyang Gu. Sharp Norm-Estimations for Moore-Penrose Inverses of Stable Perturbations of Hilbert C:::*:::-Module Operators
4759 -- 4792Michael Griebel, Markus Hegland. A Finite Element Method for Density Estimation with Gaussian Process Priors
4793 -- 4795Shuhuang Xiang. Correction to Strict Diagonal Dominance and Optimal Bounds for the Skeel Condition Number

Volume 47, Issue 5

3213 -- 3239Edward J. Fuselier, Grady B. Wright. Stability and Error Estimates for Vector Field Interpolation and Decomposition on the Sphere with RBFs
3240 -- 3268Bo Dong, Chi-Wang Shu. Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems
3269 -- 3292Rajen K. Sinha, Richard E. Ewing, Raytcho D. Lazarov. Mixed Finite Element Approximations of Parabolic Integro-Differential Equations with Nonsmooth Initial Data
3293 -- 3324Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl. Polynomial Extension Operators. Part II
3325 -- 3338Mingchao Cai, Mo Mu, Jinchao Xu. Numerical Solution to a Mixed Navier-Stokes/Darcy Model by the Two-Grid Approach
3339 -- 3358Maxim A. Olshanskii, Arnold Reusken, Jörg Grande. A Finite Element Method for Elliptic Equations on Surfaces
3359 -- 3373Sheehan Olver. GMRES for the Differentiation Operator
3374 -- 3396Alain Bensoussan, Laurent Mertz, Olivier Pironneau, Janos Turi. An Ultra Weak Finite Element Method as an Alternative to a Monte Carlo Method for an Elasto-Plastic Problem with Noise
3397 -- 3428Massimo Fornasier, Carola-Bibiane Schönlieb. Subspace Correction Methods for Total Variation and ::1::-Minimization
3429 -- 3450Bernard Bialecki, Ryan I. Fernandes. An Alternating Direction Implicit Backward Differentiation Orthogonal Spline Collocation Method for Linear Variable Coefficient Parabolic Equations
3451 -- 3463Francisco-Javier Sayas. The Validity of Johnson-Nédélec s BEM-FEM Coupling on Polygonal Interfaces
3464 -- 3485Oliver Junge, Péter Koltai. Discretization of the Frobenius-Perron Operator Using a Sparse Haar Tensor Basis: The Sparse Ulam Method
3486 -- 3506Sören Bartels. Semi-Implicit Approximation of Wave Maps into Smooth or Convex Surfaces
3507 -- 3525Todd A. Oliver, David L. Darmofal. Analysis of Dual Consistency for Discontinuous Galerkin Discretizations of Source Terms
3526 -- 3549Jeffrey M. Connors, Jason S. Howell, William J. Layton. Partitioned Time Stepping for a Parabolic Two Domain Problem
3550 -- 3583Patrick Hild, Vanessa Lleras. Residual Error Estimators for Coulomb Friction
3584 -- 3607Erik Burman. A Posteriori Error Estimation for Interior Penalty Finite Element Approximations of the Advection-Reaction Equation
3608 -- 3623Daniel J. Bates, Jonathan D. Hauenstein, Chris Peterson, Andrew J. Sommese. A Numerical Local Dimension Test for Points on the Solution Set of a System of Polynomial Equations
3624 -- 3651Juan Galvis, Marcus Sarkis. Approximating Infinity-Dimensional Stochastic Darcy s Equations without Uniform Ellipticity
3652 -- 3677Gabriel R. Barrenechea, Leopoldo P. Franca, Frédéric Valentin. A Symmetric Nodal Conservative Finite Element Method for the Darcy Equation
3678 -- 3704Thomas Hagstrom, Timothy Warburton. Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods
3705 -- 3719Arnaud Debussche, Erwan Faou. Modified Energy for Split-Step Methods Applied to the Linear Schrödinger Equation
3720 -- 3743Sören Bartels, Max Jensen, Rüdiger Müller. Discontinuous Galerkin Finite Element Convergence for Incompressible Miscible Displacement Problems of Low Regularity
3744 -- 3767Yanzhao Cao, Bin Wu, Yuesheng Xu. A Fast Collocation Method for Solving Stochastic Integral Equations
3768 -- 3796Lanshan Han, Alok Tiwari, M. Kanat Camlibel, Jong-Shi Pang. Convergence of Time-Stepping Schemes for Passive and Extended Linear Complementarity Systems
3797 -- 3819Willem Hundsdorfer, A. Mozartova, M. N. Spijker. Stepsize Conditions for Boundedness in Numerical Initial Value Problems
3820 -- 3848Eric T. Chung, Björn Engquist. Optimal Discontinuous Galerkin Methods for the Acoustic Wave Equation in Higher Dimensions
3849 -- 3883Bernhard Beckermann, Lothar Reichel. Error Estimates and Evaluation of Matrix Functions via the Faber Transform
3884 -- 3909Filip Rindler. Approximation of Rate-Independent Optimal Control Problems
3910 -- 3937Mark Ainsworth, Hafiz Abdul Wajid. Dispersive and Dissipative Behavior of the Spectral Element Method
3938 -- 3955Pavel B. Bochev, Denis Ridzal. An Optimization-Based Approach for the Design of PDE Solution Algorithms
3956 -- 3976Bruno Després. Uniform Asymptotic Stability of Strang s Explicit Compact Schemes for Linear Advection
3977 -- 3989Alexei Bespalov, Norbert Heuer. Optimal Error Estimation for H(curl)-Conforming p-Interpolation in Two Dimensions
3990 -- 4020Carlo D Angelo, Paolo Zunino. A Finite Element Method Based on Weighted Interior Penalties for Heterogeneous Incompressible Flows

Volume 47, Issue 4

2407 -- 2431Fabio Camilli, Espen R. Jakobsen. A Finite Element Like Scheme for Integro-Partial Differential Hamilton-Jacobi-Bellman Equations
2432 -- 2454Erwin Hernández, Enrique Otárola. A Locking-Free FEM in Active Vibration Control of a Timoshenko Beam
2455 -- 2475Matthew Dobson, Mitchell Luskin. An Optimal Order Error Analysis of the One-Dimensional Quasicontinuum Approximation
2476 -- 2495J. Thomas Beale. Smoothing Properties of Implicit Finite Difference Methods for a Diffusion Equation in Maximum Norm
2496 -- 2517Qun Lin, Lung-An Ying. Interval Inclusion Computation for the Solutions of the Burgers Equation
2518 -- 2549János Karátson, Sergey Korotov. An Algebraic Discrete Maximum Principle in Hilbert Space with Applications to Nonlinear Cooperative Elliptic Systems
2550 -- 2577Christoph Ortner. A Posteriori Existence in Numerical Computations
2578 -- 2611Benqi Guo. Approximation Theory for the P-Version of the Finite Element Method in Three Dimensions Part II: Convergence of the P Version of the Finite Element Method
2612 -- 2637Andrea Cangiani, Gianmarco Manzini, Alessandro Russo 0002. Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems
2638 -- 2659Franz Peherstorfer. Gauss-Turán Quadrature Formulas: Asymptotics of Weights
2660 -- 2685David Kay, Vanessa Styles, Endre Süli. Discontinuous Galerkin Finite Element Approximation of the Cahn-Hilliard Equation with Convection
2686 -- 2707Bernardo Cockburn, Johnny Guzmán, See-Chew Soon, Henry K. Stolarski. An Analysis of the Embedded Discontinuous Galerkin Method for Second-Order Elliptic Problems
2708 -- 2734David P. Nicholls, Jie Shen. A Rigorous Numerical Analysis of the Transformed Field Expansion Method
2735 -- 2751Joachim Schöberl, Rolf Stenberg. Multigrid Methods for a Stabilized Reissner-Mindlin Plate Formulation
2752 -- 2781D. C. Antonopoulou, V. A. Dougalis, Georgios E. Zouraris. Galerkin Methods for Parabolic and Schrödinger Equations with Dynamical Boundary Conditions and Applications to Underwater Acoustics
2782 -- 2807Pascal Omnes, Yohan Penel, Yann Rosenbaum. A Posteriori Error Estimation for the Discrete Duality Finite Volume Discretization of the Laplace Equation
2808 -- 2837F. Castella, P. Chartier, E. Faou. An Averaging Technique for Highly Oscillatory Hamiltonian Problems
2838 -- 2843Alessandro Veneziani. A Note on the Consistency and Stability Properties of Yosida Fractional Step Schemes for the Unsteady Stokes Equations
2844 -- 2871Jean-François Coulombel. Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems
2872 -- 2896Xiaobing Feng, Haijun Wu. Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number
2897 -- 2923Clark R. Dohrmann, Olof B. Widlund. An Overlapping Schwarz Algorithm for Almost Incompressible Elasticity
2924 -- 2951Mario Arioli, Daniel Loghin. Discrete Interpolation Norms with Applications
2952 -- 2981Xiaobing Feng, Michael Neilan. A Modified Characteristic Finite Element Method for a Fully Nonlinear Formulation of the Semigeostrophic Flow Equations
2982 -- 3000Chu-Li Fu, Zhi-Liang Deng, Xiao-Li Feng, Fang-Fang Dou. A Modified Tikhonov Regularization for Stable Analytic Continuation
3001 -- 3026Olivier Bokanowski, Stefania Maroso, Hasnaa Zidani. Some Convergence Results for Howard s Algorithm
3027 -- 3043Frank S. Attia, Zhiqiang Cai, Gerhard Starke. First-Order System Least Squares for the Signorini Contact Problem in Linear Elasticity
3044 -- 3069Christian Gross, Rolf Krause. On the Convergence of Recursive Trust-Region Methods for Multiscale Nonlinear Optimization and Applications to Nonlinear Mechanics
3070 -- 3086Mitchell Luskin, Christoph Ortner. An Analysis of Node-Based Cluster Summation Rules in the Quasicontinuum Method
3087 -- 3108Matania Ben-Artzi, I. Chorev, Jean-Pierre Croisille, Dalia Fishelov. A Compact Difference Scheme for the Biharmonic Equation in Planar Irregular Domains
3109 -- 3138Stefano Berrone. A Local-in-Space-Timestep Approach to a Finite Element Discretization of the Heat Equation with a Posteriori Estimates
3139 -- 3157Néstor E. Aguilera, Pedro Morin. On Convex Functions and the Finite Element Method
3158 -- 3179Holger Wendland. Divergence-Free Kernel Methods for Approximating the Stokes Problem
3180 -- 3194R. Verfürth. A Note on Constant-Free A Posteriori Error Estimates
3195 -- 3211Masatake Hirao, Masanori Sawa. On Minimal Cubature Formulae of Small Degree for Spherically Symmetric Integrals

Volume 47, Issue 3

1601 -- 1618Kevin Burrage, Grant Lythe. Accurate Stationary Densities with Partitioned Numerical Methods for Stochastic Differential Equations
1619 -- 1650Jie Shen, Li-lian Wang, Huiyuan Li. A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions
1651 -- 1665Michael Junk, Wen-An Yong. Weighted L:::2:::-Stability of the Lattice Boltzmann Method
1666 -- 1683Michael Hintermüller, Michael Hinze. Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment
1684 -- 1712Raimund Bürger, Kenneth H. Karlsen, John D. Towers. An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections
1713 -- 1738Andreas Rößler. Second Order Runge-Kutta Methods for Itô Stochastic Differential Equations
1739 -- 1759Mihai Anitescu. Spectral Finite-Element Methods for Parametric Constrained Optimization Problems
1760 -- 1781P. Zhuang, Fawang Liu, Vo Anh, Ian W. Turner. Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
1782 -- 1826B. L. Bihari, Peter N. Brown. A Linear Algebraic Analysis of Diffusion Synthetic Acceleration for the Boltzmann Transport Equation II: The Simple Corner Balance Method
1827 -- 1846Frank Bauer, Thorsten Hohage, Axel Munk. Iteratively Regularized Gauss-Newton Method for Nonlinear Inverse Problems with Random Noise
1847 -- 1862Torsten Linß. Analysis of a System of Singularly Perturbed Convection-Diffusion Equations with Strong Coupling
1863 -- 1885C. Hager, Barbara I. Wohlmuth. Analysis of a Space-Time Discretization for Dynamic Elasticity Problems Based on Mass-Free Surface Elements
1886 -- 1908Wenbin Liu, Ningning Yan. Local A Posteriori Error Estimates for Convex Boundary Control Problems
1909 -- 1922Yanren Hou, Kaitai Li. Postprocessing Fourier Galerkin Method for the Navier-Stokes Equations
1923 -- 1951Nicolas Forcadel. Comparison Principle for a Generalized Fast Marching Method
1952 -- 1970A. H. Barnett. Perturbative Analysis of the Method of Particular Solutions for Improved Inclusion of High-Lying Dirichlet Eigenvalues
1971 -- 2000Santiago Badia, Ramon Codina. Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
2001 -- 2022Claudio Canuto, Timo Tonn, Karsten Urban. A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs
2023 -- 2051Luca Dieci, Luciano Lopez. Sliding Motion in Filippov Differential Systems: Theoretical Results and a Computational Approach
2052 -- 2089Vivette Girault, Béatrice Rivière. DG Approximation of Coupled Navier-Stokes and Darcy Equations by Beaver-Joseph-Saffman Interface Condition
2090 -- 2107Shangyou Zhang. A Family of Q::k+1, k::˟Q::k, k+1:: Divergence-Free Finite Elements on Rectangular Grids
2108 -- 2131Xianjuan Li, Chuanju Xu. A Space-Time Spectral Method for the Time Fractional Diffusion Equation
2132 -- 2156Zhiqiang Cai, Shun Zhang. Recovery-Based Error Estimator for Interface Problems: Conforming Linear Elements
2157 -- 2176Alan Demlow, Omar Lakkis, Charalambos Makridakis. A Posteriori Error Estimates in the Maximum Norm for Parabolic Problems
2177 -- 2202Luigi C. Berselli, Lars Diening, Michael Ruzicka. Optimal Error Estimates for a Semi-Implicit Euler Scheme for Incompressible Fluids with Shear Dependent Viscosities
2203 -- 2223Jack Schaeffer. Higher Order Time Splitting for the Linear Vlasov Equation
2224 -- 2242Longjun Shen, Guixia Lv, Zhijun Shen. A Finite Point Method Based on Directional Differences
2243 -- 2268Jemal Peradze. An Approximate Algorithm for a Kirchhoff Wave Equation
2269 -- 2288S. M. Wise, C. Wang, John S. Lowengrub. An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
2289 -- 2320Olivier Bokanowski, Benjamin Bruder, Stefania Maroso, Hasnaa Zidani. Numerical Approximation for a Superreplication Problem under Gamma Constraints
2321 -- 2346Zhongying Chen, Bin Wu, Yuesheng Xu. Fast Multilevel Augmentation Methods for Solving Hammerstein Equations
2347 -- 2368Rob Haelterman, Joris Degroote, Dirk Van Heule, Jan A. Vierendeels. The Quasi-Newton Least Squares Method: A New and Fast Secant Method Analyzed for Linear Systems
2369 -- 2386Francesca Rapetti, Alain Bossavit. Whitney Forms of Higher Degree
2387 -- 2405Andreas Veeser, Rüdiger Verfürth. Explicit Upper Bounds for Dual Norms of Residuals

Volume 47, Issue 2

805 -- 827Alan Demlow. Higher-Order Finite Element Methods and Pointwise Error Estimates for Elliptic Problems on Surfaces
828 -- 843V. Simoncini, V. Druskin. Convergence Analysis of Projection Methods for the Numerical Solution of Large Lyapunov Equations
844 -- 860Gilles Aubert, Pierre Kornprobst. Can the Nonlocal Characterization of Sobolev Spaces by Bourgain et al. Be Useful for Solving Variational Problems?
861 -- 886Mario S. Mommer, Rob Stevenson. A Goal-Oriented Adaptive Finite Element Method with Convergence Rates
887 -- 910G. N. Milstein, M. V. Tretyakov. Practical Variance Reduction via Regression for Simulating Diffusions
911 -- 928Ming-Jun Lai, Larry L. Schumaker. A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data
929 -- 952V. J. Ervin, E. W. Jenkins, S. Sun. Coupled Generalized Nonlinear Stokes Flow with Flow through a Porous Medium
953 -- 971Leonid Knizhnerman, Vladimir Druskin, Mikhail Zaslavsky. On Optimal Convergence Rate of the Rational Krylov Subspace Reduction for Electromagnetic Problems in Unbounded Domains
972 -- 996Thorsten Hohage, Lothar Nannen. Hardy Space Infinite Elements for Scattering and Resonance Problems
997 -- 1018Pierre-Antoine Absil, Kyle A. Gallivan. Accelerated Line-search and Trust-region Methods
1019 -- 1037Zhong-Zhi Bai, Yu-Mei Huang, Michael K. Ng. On Preconditioned Iterative Methods for Certain Time-Dependent Partial Differential Equations
1038 -- 1066Mohamed Amara, Rabia Djellouli, Charbel Farhat. Convergence Analysis of a Discontinuous Galerkin Method with Plane Waves and Lagrange Multipliers for the Solution of Helmholtz Problems
1067 -- 1091S. Giani, I. G. Graham. A Convergent Adaptive Method for Elliptic Eigenvalue Problems
1092 -- 1125Bernardo Cockburn, Jayadeep Gopalakrishnan. The Derivation of Hybridizable Discontinuous Galerkin Methods for Stokes Flow
1126 -- 1148Bertrand Maury. Numerical Analysis of a Finite Element/Volume Penalty Method
1149 -- 1167O. Steinbach, M. Windisch. Modified Combined Field Integral Equations for Electromagnetic Scattering
1168 -- 1194Christiaan C. Stolk. A Fast Method for Linear Waves Based on Geometrical Optics
1195 -- 1225Benqi Guo, Jianming Zhang. Stable and Compatible Polynomial Extensions in Three Dimensions and Applications to the p and h-p Finite Element Method
1226 -- 1250Xiaobing Feng, Michael Neilan. Mixed Finite Element Methods for the Fully Nonlinear Monge-Ampère Equation Based on the Vanishing Moment Method
1251 -- 1273Carsten Gräser, Ralf Kornhuber. Nonsmooth Newton Methods for Set-Valued Saddle Point Problems
1274 -- 1303Huo-Yuan Duan, Feng Jia, Ping Lin, Roger C. E. Tan. The Local L:::2::: Projected C:::0::: Finite Element Method for Maxwell Problem
1304 -- 1318Brian T. Helenbrook. On the Existence of Explicit hp-Finite Element Methods Using Gauss-Lobatto Integration on the Triangle
1319 -- 1365Bernardo Cockburn, Jayadeep Gopalakrishnan, Raytcho Lazarov. Unified Hybridization of Discontinuous Galerkin, Mixed, and Continuous Galerkin Methods for Second Order Elliptic Problems
1366 -- 1390Liviu I. Ignat, Enrique Zuazua. Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation
1391 -- 1420Blanca Ayuso, L. Donatella Marini. Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems
1421 -- 1444Qiang Du, Desheng Wang, Liyong Zhu. On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces
1445 -- 1473Mark Embree, Richard B. Lehoucq. Dynamical Systems and Non-Hermitian Iterative Eigensolvers
1474 -- 1499Jaroslav Haslinger, Yves Renard. A New Fictitious Domain Approach Inspired by the Extended Finite Element Method
1500 -- 1523Qiya Hu, Xue-Cheng Tai, Ragnar Winther. A Saddle Point Approach to the Computation of Harmonic Maps
1524 -- 1545Soorok Ryu, Hyung-Chun Lee, Sang Dong Kim. First-Order System Least-Squares Methods for an Optimal Control Problem by the Stokes Flow
1546 -- 1575Arturo Kohatsu-Higa, Kazuhiro Yasuda. Estimating Multidimensional Density Functions Using the Malliavin-Thalmaier Formula
1576 -- 1600Hyea Hyun Kim, Xuemin Tu. A Three-Level BDDC Algorithm for Mortar Discretizations

Volume 47, Issue 1

1 -- 19Zhendong Luo, Jing Chen, I. M. Navon, Xiaozhong Yang. Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier-Stokes Equations
20 -- 47Paolo Costantini, Francesca Pelosi. Data Approximation Using Shape-Preserving Parametric Surfaces
48 -- 68Marios Charalambides, Fabian Waleffe. Gegenbauer Tau Methods With and Without Spurious Eigenvalues
69 -- 88Hansjörg Seybold, Rudolf Hilfer. Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function
89 -- 108Runchang Lin. Discontinuous Discretization for Least-Squares Formulation of Singularly Perturbed Reaction-Diffusion Problems in One and Two Dimensions
109 -- 135Christoph Erath, Dirk Praetorius. A Posteriori Error Estimate and Adaptive Mesh Refinement for the Cell-Centered Finite Volume Method for Elliptic Boundary Value Problems
136 -- 157Hyea Hyun Kim, Maksymilian Dryja, Olof B. Widlund. A BDDC Method for Mortar Discretizations Using a Transformation of Basis
158 -- 180Andreas Prohl. On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier-Stokes Equations
181 -- 203Kristian Debrabant, Anne Kværnø. B-Series Analysis of Stochastic Runge-Kutta Methods That Use an Iterative Scheme to Compute Their Internal Stage Values
204 -- 226Weihua Deng. Finite Element Method for the Space and Time Fractional Fokker-Planck Equation
227 -- 249L. Banjai, S. Sauter. Rapid Solution of the Wave Equation in Unbounded Domains
250 -- 270Wenfang (Wendy) Cheng, Xiaoming Wang. A Semi-Implicit Scheme for Stationary Statistical Properties of the Infinite Prandtl Number Model
271 -- 292Mejdi Azaïez, Jie Shen, Chuanju Xu, Qingqu Zhuang. A Laguerre-Legendre Spectral Method for the Stokes Problem in a Semi-Infinite Channel
293 -- 307Reiichiro Kawai. Optimal Importance Sampling Parameter Search for Lévy Processes via Stochastic Approximation
308 -- 320Mattias Sandberg. Convergence of the Forward Euler Method for Nonconvex Differential Inclusions
321 -- 338Mohammad Saleh Tavazoei, Mohammad Haeri, Sadegh Bolouki, Milad Siami. Stability Preservation Analysis for Frequency-Based Methods in Numerical Simulation of Fractional Order Systems
339 -- 362Jean-Luc Guermond, Bojan Popov. L:::1:::-Approximation of Stationary Hamilton-Jacobi Equations
363 -- 385Kenneth Robert Alton, Ian M. Mitchell. Fast Marching Methods for Stationary Hamilton-Jacobi Equations with Axis-Aligned Anisotropy
386 -- 408Yekaterina Epshteyn, Alexander Kurganov. New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model
409 -- 439Erik Burman, Miguel A. Fernández. Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Transient Stokes Equations: Stability and Convergence Analysis
440 -- 466Q. T. Le Gia, H. N. Mhaskar. Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere
467 -- 486Shipeng Mao, Serge Nicaise, Zhongci Shi. On the Interpolation Error Estimates for Q::1:: Quadrilateral Finite Elements
487 -- 507Pavel B. Bochev, Denis Ridzal. Rehabilitation of the Lowest-Order Raviart-Thomas Element on Quadrilateral Grids
508 -- 533Erik Burman, Benjamin Stamm. Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems
534 -- 550R. H. W. Hoppe, G. Kanschat, T. Warburton. Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method
551 -- 574Lubomír Bañas, Andreas Prohl, Marián Slodicka. Modeling of Thermally Assisted Magnetodynamics
575 -- 595Ulrich Hetmaniuk, Patrick M. Knupp. Local Anisotropic Interpolation Error Estimates Based on Directional Derivatives Along Edges
596 -- 621Javier de Frutos, Bosco García-Archilla, Julia Novo. Postprocessing Finite-Element Methods for the Navier-Stokes Equations: The Fully Discrete Case
622 -- 645Jeff Borggaard, Traian Iliescu, John Paul Roop. A Bounded Artificial Viscosity Large Eddy Simulation Model
646 -- 674Andrei Amosov, Mario Ahues, Alain Largillier. Superconvergence of Some Projection Approximations for Weakly Singular Integral Equations Using General Grids
675 -- 698Hailiang Liu, Jue Yan. The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
699 -- 718Ramon Codina. Finite Element Approximation of the Three-Field Formulation of the Stokes Problem Using Arbitrary Interpolations
719 -- 739Daan Huybrechs, Ronald Cools. On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals
740 -- 761V. Carey, Donald J. Estep, Simon Tavener. A Posteriori Analysis and Adaptive Error Control for Multiscale Operator Decomposition Solution of Elliptic Systems I: Triangular Systems
762 -- 785Leszek Plaskota, Grzegorz W. Wasilkowski. Uniform Approximation of Piecewise r-Smooth and Globally Continuous Functions
786 -- 803Marlis Hochbruck, Alexander Ostermann, Julia Schweitzer. Exponential Rosenbrock-Type Methods