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ORCIDSIAM Journal on Numerical Analysis, Volume 53
Volume 53, Number 1, 2015
- Assyr Abdulle, Gilles Vilmart
, Konstantinos C. Zygalakis:
Long Time Accuracy of Lie-Trotter Splitting Methods for Langevin Dynamics. 1-16 - Adrian Sandu, Michael Günther:
A Generalized-Structure Approach to Additive Runge-Kutta Methods. 17-42 - Carsten Carstensen, Eun-Jae Park:
Convergence and Optimality of Adaptive Least Squares Finite Element Methods. 43-62 - Jong Ho Lee:
A Balancing Domain Decomposition by Constraints Deluxe Method for Reissner-Mindlin Plates with Falk-Tu Elements. 63-81 - Jeff Calder, Selim Esedoglu, Alfred O. Hero III:
A PDE-based Approach to Nondominated Sorting. 82-104 - Takahito Kashiwabara, Claudia Maria Colciago, Luca Dedè, Alfio Quarteroni:
Well-Posedness, Regularity, and Convergence Analysis of the Finite Element Approximation of a Generalized Robin Boundary Value Problem. 105-126 - Amanda E. Diegel, Xiaobing H. Feng, Steven M. Wise:
Analysis of a Mixed Finite Element Method for a Cahn-Hilliard-Darcy-Stokes System. 127-152 - Zhongqiang Zhang, Michael V. Tretyakov, Boris Rozovskii, George E. Karniadakis:
Wiener Chaos Versus Stochastic Collocation Methods for Linear Advection-Diffusion-Reaction Equations with Multiplicative White Noise. 153-183 - Zhonghua Qiao, Tao Tang, Hehu Xie:
Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model. 184-205 - Haijin Wang, Chi-Wang Shu, Qiang Zhang:
Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems. 206-227 - Adérito Araújo, Sílvia Barbeiro, Pedro Serranho:
Convergence of Finite Difference Schemes for Nonlinear Complex Reaction-Diffusion Processes. 228-250 - Eugene C. Gartland Jr., Alison Ramage:
A Renormalized Newton Method for Liquid Crystal Director Modeling. 251-278 - Jie Shen, Xiaofeng Yang:
Decoupled, Energy Stable Schemes for Phase-Field Models of Two-Phase Incompressible Flows. 279-296 - Axel Klawonn, Patrick Radtke, Oliver Rheinbach:
FETI-DP Methods with an Adaptive Coarse Space. 297-320 - Evgeniy Zharovsky, Adrian Sandu, Hong Zhang:
A Class Of Implicit-Explicit Two-Step Runge-Kutta Methods. 321-341 - Yalchin Efendiev, Raytcho D. Lazarov, Ke Shi:
A Multiscale HDG Method for Second Order Elliptic Equations. Part I. Polynomial and Homogenization-Based Multiscale Spaces. 342-369 - Xuerong Mao:
Almost Sure Exponential Stability in the Numerical Simulation of Stochastic Differential Equations. 370-389 - Touraj Nikazad, Mokhtar Abbasi:
Perturbation-Resilient Iterative Methods with an Infinite Pool of Mappings. 390-404 - Zhiqiang Cai, Robert D. Falgout, Shun Zhang:
Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations. 405-420 - Kristian Bredies, Hongpeng Sun:
Preconditioned Douglas-Rachford Splitting Methods for Convex-concave Saddle-point Problems. 421-444 - Roland Becker, Melanie Bittl, Dmitri Kuzmin:
Analysis of a Combined CG1-DG2 Method for the Transport Equation. 445-463 - Georgios Akrivis:
Stability of Implicit-Explicit Backward Difference Formulas For Nonlinear Parabolic Equations. 464-484 - Marlis Hochbruck, Tomislav Pazur:
Implicit Runge-Kutta Methods and Discontinuous Galerkin Discretizations for Linear Maxwell's Equations. 485-507 - Paul Deuring, Robert Eymard, Marcus Mildner:
L2-Stability Independent of Diffusion for a Finite Element-Finite Volume Discretization of a Linear Convection-Diffusion Equation. 508-526 - Mikaël Barboteu, Krzysztof Bartosz, Weimin Han, Tomasz Janiczko:
Numerical Analysis of a Hyperbolic Hemivariational Inequality Arising in Dynamic Contact. 527-550 - Dominic Breit, Lars Diening, Sebastian Schwarzacher:
Finite Element Approximation of the p(·)-Laplacian. 551-572 - Martin J. Gander, Soheil Hajian:
Analysis of Schwarz Methods for a Hybridizable Discontinuous Galerkin Discretization. 573-597 - Paola F. Antonietti, Marco Sarti, Marco Verani:
Multigrid Algorithms for hp-Discontinuous Galerkin Discretizations of Elliptic Problems. 598-618 - Xiangfan Piao, Sang Dong Kim, Philsu Kim, Jae-Min Kwon, Dokkyun Yi:
An Iteration Free Backward Semi-Lagrangian Scheme for Guiding Center Problems. 619-643 - Andreas Weinmann, Martin Storath, Laurent Demaret:
The L1-Potts Functional for Robust Jump-Sparse Reconstruction. 644-673 - Jan Ernest, Philippe G. LeFloch, Siddhartha Mishra:
Schemes with Well-Controlled Dissipation. 674-699
Volume 53, Number 2, 2015
- Cesáreo González, Mechthild Thalhammer:
Higher-Order Exponential Integrators for Quasi-Linear Parabolic Problems. Part I: Stability. 701-719 - Xuemin Tu, Jing Li:
A FETI-DP Type Domain Decomposition Algorithm for Three-Dimensional Incompressible Stokes Equations. 720-742 - Kinjal Basu, Art B. Owen:
Low Discrepancy Constructions in the Triangle. 743-761 - Xiaochuan Tian, Qiang Du:
Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems. 762-781 - Yu Du, Haijun Wu:
Preasymptotic Error Analysis of Higher Order FEM and CIP-FEM for Helmholtz Equation with High Wave Number. 782-804 - Alex Toth, C. T. Kelley:
Convergence Analysis for Anderson Acceleration. 805-819 - Sergei V. Pereverzyev, Ian H. Sloan, Pavlo Tkachenko:
Parameter Choice Strategies for Least-squares Approximation of Noisy Smooth Functions on the Sphere. 820-835 - Coralia Cartis, Nicholas I. M. Gould, Philippe L. Toint:
On the Evaluation Complexity of Constrained Nonlinear Least-Squares and General Constrained Nonlinear Optimization Using Second-Order Methods. 836-851 - Michael Griebel, Christian Rieger, Barbara Zwicknagl:
Multiscale Approximation and Reproducing Kernel Hilbert Space Methods. 852-873 - Carsten Carstensen, Dongjie Liu:
Nonconforming FEMs for an Optimal Design Problem. 874-894 - François James, Nicolas Vauchelet:
Numerical Methods for One-Dimensional Aggregation Equations. 895-916 - Christian Lubich, Ivan V. Oseledets, Bart Vandereycken:
Time Integration of Tensor Trains. 917-941 - Waixiang Cao, Zhimin Zhang, Qingsong Zou:
Is 2k-Conjecture Valid for Finite Volume Methods? 942-962 - Aekta Aggarwal, Rinaldo M. Colombo, Paola Goatin:
Nonlocal Systems of Conservation Laws in Several Space Dimensions. 963-983 - Walter Zulehner:
The Ciarlet-Raviart Method for Biharmonic Problems on General Polygonal Domains: Mapping Properties and Preconditioning. 984-1004 - Volker John, Julia Novo:
Analysis of the Pressure Stabilized Petrov-Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step Restrictions. 1005-1031 - Yuan-Ming Wang:
Fourth-Order Compact Finite Difference Methods and Monotone Iterative Algorithms for Quasi-Linear Elliptic Boundary Value Problems. 1032-1057 - Alexandre Ern, Martin Vohralík:
Polynomial-Degree-Robust A Posteriori Estimates in a Unified Setting for Conforming, Nonconforming, Discontinuous Galerkin, and Mixed Discretizations. 1058-1081 - Ludwig Gauckler:
Error Analysis of Trigonometric Integrators for Semilinear Wave Equations. 1082-1106 - Mark Ainsworth, Gabriel R. Barrenechea, Andreas Wachtel:
Stabilization of High Aspect Ratio Mixed Finite Elements for Incompressible Flow. 1107-1120 - Tao Lin, Yanping Lin, Xu Zhang:
Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems. 1121-1144 - Paola F. Antonietti, Andreas Dedner, Pravin Madhavan, Simone Stangalino, Björn Stinner, Marco Verani:
High Order Discontinuous Galerkin Methods for Elliptic Problems on Surfaces. 1145-1171 - Jean-François Chassagneux, Adrien Richou:
Numerical Stability Analysis of the Euler Scheme for BSDEs. 1172-1193
Volume 53, Number 3, 2015
- Peyman Hessari:
Pseudospectral Least Squares Method for Stokes-Darcy Equations. 1195-1213 - Roy R. Lederman, Vladimir Rokhlin:
On the Analytical and Numerical Properties of the Truncated Laplace Transform I. 1214-1235 - Jörg Grande:
Finite Element Discretization Error Analysis of a General Interfacial Stress Functional. 1236-1255 - Christine Bernardi, Tomás Chacón Rebollo, Driss Yakoubi:
Finite Element Discretization of the Stokes and Navier-Stokes Equations with Boundary Conditions on the Pressure. 1256-1279 - Jan Giesselmann, Charalambos G. Makridakis, Tristan Pryer:
A Posteriori Analysis of Discontinuous Galerkin Schemes for Systems of Hyperbolic Conservation Laws. 1280-1303 - Roland Herzog, Ekkehard W. Sachs:
Superlinear Convergence of Krylov Subspace Methods for Self-Adjoint Problems in Hilbert Space. 1304-1324 - Jianjun Liu, Li-Qun Cao, Ningning Yan, Jun-zhi Cui:
Multiscale Approach for Optimal Design in Conductivity of Composite Materials. 1325-1349 - Roberto Garrappa:
Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions. 1350-1369 - Constantin Bacuta, Matthew E. Hassell, George C. Hsiao, Francisco-Javier Sayas:
Boundary Integral Solvers for an Evolutionary Exterior Stokes Problem. 1370-1392 - Hailiang Liu, Wenli Cai, Ning Su:
Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions. 1393-1417 - Buyang Li, Weiwei Sun:
Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow. 1418-1437 - Jun Hu:
A New Family of Efficient Conforming Mixed Finite Elements on Both Rectangular and Cuboid Meshes for Linear Elasticity in the Symmetric Formulation. 1438-1463 - Paul Kuberry, H. Lee:
Analysis of a Fluid-Structure Interaction Problem Recast in an Optimal Control Setting. 1464-1487 - Guillaume Drouet, Patrick Hild:
Optimal Convergence for Discrete Variational Inequalities Modelling Signorini Contact in 2D and 3D without Additional Assumptions on the Unknown Contact Set. 1488-1507 - Guannan Zhang, Clayton G. Webster, Max D. Gunzburger, John V. Burkardt:
A Hyperspherical Adaptive Sparse-Grid Method for High-Dimensional Discontinuity Detection. 1508-1536 - Seungil Kim, Hui Zhang:
Optimized Schwarz Method with Complete Radiation Transmission Conditions for the Helmholtz Equation in Waveguides. 1537-1558 - Gaël Poëtte, Alexandre Birolleau, Didier Lucor:
Iterative Polynomial Approximation Adapting to Arbitrary Probability Distribution. 1559-1584 - Zhoufeng Wang, Gang Bao, Jiaqing Li, Peijun Li, Haijun Wu:
An Adaptive Finite Element Method for the Diffraction Grating Problem with Transparent Boundary Condition. 1585-1607 - Gang Bao, Shuai Lu, William Rundell, Boxi Xu:
A Recursive Algorithm for MultiFrequency Acoustic Inverse Source Problems. 1608-1628 - Chunmei Su, Zhiping Li:
Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity. 1629-1649
Volume 53, Number 4, 2015
- Waixiang Cao, Chi-Wang Shu, Yang Yang, Zhimin Zhang:
Superconvergence of Discontinuous Galerkin Methods for Two-Dimensional Hyperbolic Equations. 1651-1671 - Jitendra Kumar, Jitraj Saha, Evangelos Tsotsas:
Development and Convergence Analysis of a Finite Volume Scheme for Solving Breakage Equation. 1672-1689 - Florent Renac:
Stationary Discrete Shock Profiles for Scalar Conservation Laws with a Discontinuous Galerkin Method. 1690-1715 - Zhong-Zhi Bai, Miroslav Rozlozník:
On the Numerical Behavior of Matrix Splitting Iteration Methods for Solving Linear Systems. 1716-1737 - Jeffrey Willert, Xiaojun Chen, C. T. Kelley:
Newton's Method for Monte Carlo-Based Residuals. 1738-1757 - Xin Liu, Zaiwen Wen, Xiao Wang, Michael Ulbrich, Yaxiang Yuan:
On the Analysis of the Discretized Kohn-Sham Density Functional Theory. 1758-1785 - Weiguo Gao, Jing Leng, Xiang Zhou:
An Iterative Minimization Formulation for Saddle Point Search. 1786-1805 - Peter Hansbo, Mats G. Larson, Sara Zahedi:
Stabilized Finite Element Approximation of the Mean Curvature Vector on Closed Surfaces. 1806-1832 - Andrew J. Christlieb, Yaman Güçlü, David C. Seal:
The Picard Integral Formulation of Weighted Essentially Nonoscillatory Schemes. 1833-1856 - Jens Zudrop, Jan S. Hesthaven:
Accuracy of High Order and Spectral Methods for Hyperbolic Conservation Laws with Discontinuous Solutions. 1857-1875 - Francisco Guillén-González, José Rafael Rodríguez-Galván:
Stabilized Schemes for the Hydrostatic Stokes Equations. 1876-1896 - Alex Townsend:
A Fast Analysis-Based Discrete Hankel Transform Using Asymptotic Expansions. 1897-1917 - Jiaxiang Cai, Jialin Hong, Yushun Wang, Yuezheng Gong:
Two Energy-Conserved Splitting Methods for Three-Dimensional Time-Domain Maxwell's Equations and the Convergence Analysis. 1918-1940 - Hongxing Rui, Wei Liu:
A Two-Grid Block-Centered Finite Difference Method For Darcy-Forchheimer Flow in Porous Media. 1941-1962 - Rajib Dutta, Ujjwal Koley, Nils Henrik Risebro:
Convergence of a Higher Order Scheme for the Korteweg-De Vries Equation. 1963-1983 - Lin Zhao, Alex H. Barnett:
Robust and Efficient Solution of the Drum Problem via Nyström Approximation of the Fredholm Determinant. 1984-2007 - Alina Chertock, Shumo Cui, Alexander Kurganov, Tong Wu:
Steady State and Sign Preserving Semi-Implicit Runge-Kutta Methods for ODEs with Stiff Damping Term. 2008-2029 - Yanping Lin, Min Yang, Qingsong Zou:
L2 Error Estimates for a Class of Any Order Finite Volume Schemes Over Quadrilateral Meshes. 2030-2050 - Thanh Hai Ong, Thi Thao Phuong Hoang, Stéphane P. A. Bordas, Hung Nguyen-Xuan:
A Staggered Cell-Centered Finite Element Method for Compressible and Nearly-Incompressible Linear Elasticity on General Meshes. 2051-2073 - Zhongqiang Zhang, Fanhai Zeng, George E. Karniadakis:
Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations. 2074-2096 - J. Thomas Beale:
Uniform Error Estimates for Navier-Stokes Flow with an Exact Moving Boundary Using the Immersed Interface Method. 2097-2111
Volume 53, Number 5, 2015
- Bertram Düring, Christof Heuer:
High-Order Compact Schemes for Parabolic Problems with Mixed Derivatives in Multiple Space Dimensions. 2113-2134 - Daniele A. Di Pietro, Jérôme Droniou, Alexandre Ern:
A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes. 2135-2157 - Ken'ichiro Tanaka, Alexis Akira Toda:
Discretizing Distributions with Exact Moments: Error Estimate and Convergence Analysis. 2158-2177 - Julian Fischer:
A Posteriori Modeling Error Estimates for the Assumption of Perfect Incompressibility in the Navier-Stokes Equation. 2178-2205 - Falk M. Hante, Mario S. Mommer, Andreas Potschka:
Newton-Picard Preconditioners for Time-Periodic Parabolic Optimal Control Problems. 2206-2225 - James H. Adler, Timothy J. Atherton, David B. Emerson, Scott P. MacLachlan:
An Energy-Minimization Finite-Element Approach for the Frank-Oseen Model of Nematic Liquid Crystals. 2226-2254 - Beverley J. Grieshaber, Andrew T. McBride, B. Daya Reddy:
Uniformly Convergent Interior Penalty Methods Using Multilinear Approximations for Problems in Elasticity. 2255-2278 - Harbir Antil, Ricardo H. Nochetto, Patrick Sodré:
Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis. 2279-2306 - Boris Houska, Mario Eduardo Villanueva, Benoît Chachuat:
Stable Set-Valued Integration of Nonlinear Dynamic Systems using Affine Set-Parameterizations. 2307-2328 - Jeffrey Humpherys, Joshua Lytle:
Root Following in Evans Function Computation. 2329-2346 - Fotios Kasolis, Eddie Wadbro, Martin Berggren:
Analysis of Fictitious Domain Approximations of Hard Scatterers. 2347-2362 - Pavel B. Bochev, Mauro Perego, Kara Peterson:
Formulation and Analysis of a Parameter-Free Stabilized Finite Element Method. 2363-2388 - Qinian Jin:
Inexact Newton-Landweber Iteration in Banach Spaces with NonSmooth Convex Penalty Terms. 2389-2413 - Stefan A. Sauter, Jakob Zech:
A Posteriori Error Estimation of hp-dG Finite Element Methods for Highly Indefinite Helmholtz Problems. 2414-2440 - Rosalie Bélanger-Rioux, Laurent Demanet:
Compressed Absorbing Boundary Conditions via Matrix Probing. 2441-2471 - John Maclean:
A Note on Implementations of the Boosting Algorithm and Heterogeneous Multiscale Methods. 2472-2487 - Zhijian He, Xiaoqun Wang:
On the Convergence Rate of Randomized Quasi-Monte Carlo for Discontinuous Functions. 2488-2503
Volume 53, Number 6, 2015
- Shun Sato, Takayasu Matsuo, Hideyuki Suzuki, Daisuke Furihata:
A Lyapunov-Type Theorem for Dissipative Numerical Integrators with Adaptive Time-Stepping. 2505-2518 - Natalia Kopteva:
Maximum-Norm A Posteriori Error Estimates for Singularly Perturbed Reaction-Diffusion Problems on Anisotropic Meshes. 2519-2544 - David P. Bourne, Steven M. Roper:
Centroidal Power Diagrams, Lloyd's Algorithm, and Applications to Optimal Location Problems. 2545-2569 - Shoufu Li, Yunfei Li:
B-Convergence Theory of Runge-Kutta Methods for Stiff Volterra Functional Differential Equations with Infinite Integration Interval. 2570-2583 - Daniele Boffi, Nicola Cavallini, Lucia Gastaldi:
The Finite Element Immersed Boundary Method with Distributed Lagrange Multiplier. 2584-2604 - Jan Martin Nordbotten:
Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity. 2605-2625 - Rolf Stenberg, Juha H. Videman:
On the Error Analysis of Stabilized Finite Element Methods for the Stokes Problem. 2626-2633 - Stefan Takacs:
A Robust Multigrid Method for the Time-Dependent Stokes Problem. 2634-2654 - Stefan Engblom:
Strong Convergence for Split-Step Methods in Stochastic Jump Kinetics. 2655-2676 - Lijun Yi, Benqi Guo:
An h-p Version of the Continuous Petrov-Galerkin Finite Element Method for Volterra Integro-Differential Equations with Smooth and Nonsmooth Kernels. 2677-2704 - Daniel Appelö, Thomas M. Hagstrom:
A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form. 2705-2726 - Shishun Li, Xiao-Chuan Cai:
Convergence Analysis of Two-Level Space-Time Additive Schwarz Method for Parabolic Equations. 2727-2751 - Victor Didenko, Tao Tang, Anh My Vu:
Spline Galerkin Methods for the Sherman-Lauricella Equation on Contours with Corners. 2752-2770 - Stefano Maset:
The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part I: Convergence Results. 2771-2793 - Stefano Maset:
The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part II: Differential Equations with Deviating Arguments. 2794-2821 - Evan S. Gawlik, Adrian J. Lew:
Unified Analysis of Finite Element Methods for Problems with Moving Boundaries. 2822-2846
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