Journal: J. Sci. Comput.

Volume 70, Issue 3

965 -- 989Daozhi Han, Alex Brylev, Xiaofeng Yang, Zhijun Tan. Numerical Analysis of Second Order, Fully Discrete Energy Stable Schemes for Phase Field Models of Two-Phase Incompressible Flows
990 -- 1009Ian N. Zwaan, Michiel E. Hochstenbach. Multidirectional Subspace Expansion for One-Parameter and Multiparameter Tikhonov Regularization
1010 -- 1029Huangxin Chen, Weifeng Qiu, Ke Shi, Manuel Solano. A Superconvergent HDG Method for the Maxwell Equations
1030 -- 1041Lizhen Chen, Jing An, Qingqu Zhuang. Direct Solvers for the Biharmonic Eigenvalue Problems Using Legendre Polynomials
1042 -- 1077Wolf-Jürgen Beyn, Elena Isaak, Raphael Kruse. Stochastic C-Stability and B-Consistency of Explicit and Implicit Milstein-Type Schemes
1078 -- 1104Benjamin Ivorra, Susana Gomez, Roland Glowinski, Angel Manuel Ramos. Nonlinear Advection-Diffusion-Reaction Phenomena Involved in the Evolution and Pumping of Oil in Open Sea: Modeling, Numerical Simulation and Validation Considering the Prestige and Oleg Naydenov Oil Spill Cases
1105 -- 1143Michal Bras, Giuseppe Izzo, Zdzislaw Jackiewicz. Accurate Implicit-Explicit General Linear Methods with Inherent Runge-Kutta Stability
1144 -- 1179Haiyan Su, Xinlong Feng, Jianping Zhao. Two-Level Penalty Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics Equations
1180 -- 1203Kejia Pan, Dongdong He, Hongling Hu. An Extrapolation Cascadic Multigrid Method Combined with a Fourth-Order Compact Scheme for 3D Poisson Equation
1204 -- 1228Qia Li, Yuesheng Xu, Na Zhang. Two-Step Fixed-Point Proximity Algorithms for Multi-block Separable Convex Problems
1229 -- 1261Miyoun Jung. Piecewise-Smooth Image Segmentation Models with $$L^1$$ L 1 Data-Fidelity Terms
1262 -- 1289Matthias Sonntag, Claus-Dieter Munz. Efficient Parallelization of a Shock Capturing for Discontinuous Galerkin Methods using Finite Volume Sub-cells
1290 -- 1315Tonatiuh Sánchez-Vizuet, Francisco-Javier Sayas. Symmetric Boundary-Finite Element Discretization of Time Dependent Acoustic Scattering by Elastic Obstacles with Piezoelectric Behavior
1316 -- 1335Xuping Zhang, Jintao Zhang, Bo Yu 0003. Symmetric Homotopy Method for Discretized Elliptic Equations with Cubic and Quintic Nonlinearities
1336 -- 1357Liyan Ma, Li Xu, Tieyong Zeng. Low Rank Prior and Total Variation Regularization for Image Deblurring
1358 -- 1366Jean-Luc Guermond, Bojan Popov, Yong Yang. The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations
1367 -- 1389Jia Zhao, Huiyuan Li, Qi Wang, Xiaofeng Yang. Decoupled Energy Stable Schemes for a Phase Field Model of Three-Phase Incompressible Viscous Fluid Flow
1390 -- 1407Klaus Kaiser, Jochen Schütz, Ruth Schöbel, Sebastian Noelle. A New Stable Splitting for the Isentropic Euler Equations

Volume 70, Issue 2

451 -- 477Jing Zhang, Li-lian Wang, Huiyuan Li, Zhimin Zhang. Optimal Spectral Schemes Based on Generalized Prolate Spheroidal Wave Functions of Order -1
478 -- 499Junyu Zhang, Zaiwen Wen, Yin Zhang. Subspace Methods with Local Refinements for Eigenvalue Computation Using Low-Rank Tensor-Train Format
500 -- 515Xiaocui Li, Xiaoyuan Yang, Yinghan Zhang. Error Estimates of Mixed Finite Element Methods for Time-Fractional Navier-Stokes Equations
516 -- 550Craig Michoski, Alen Alexanderian, C. Paillet, Ethan J. Kubatko, Clint Dawson. Stability of Nonlinear Convection-Diffusion-Reaction Systems in Discontinuous Galerkin Methods
551 -- 575Jingyang Guo, Jae-Hun Jung. Radial Basis Function ENO and WENO Finite Difference Methods Based on the Optimization of Shape Parameters
576 -- 607Tingting Li, Chi-Wang Shu, Mengping Zhang. Stability Analysis of the Inverse Lax-Wendroff Boundary Treatment for High Order Central Difference Schemes for Diffusion Equations
608 -- 630Paola F. Antonietti, Marco Sarti, Marco Verani, Ludmil Tomov Zikatanov. A Uniform Additive Schwarz Preconditioner for High-Order Discontinuous Galerkin Approximations of Elliptic Problems
631 -- 661Zheng Liu, Huayan Zhang, Chunlin Wu. On Geodesic Curvature Flow with Level Set Formulation Over Triangulated Surfaces
662 -- 685Lunji Song, Chaoxia Yang. Convergence of a Second-Order Linearized BDF-IPDG for Nonlinear Parabolic Equations with Discontinuous Coefficients
686 -- 716Cheng Wang, Pengtao Sun. A Fictitious Domain Method with Distributed Lagrange Multiplier for Parabolic Problems With Moving Interfaces
717 -- 743Haijian Yang, Xiao-Chuan Cai. Two-Level Space-Time Domain Decomposition Methods for Flow Control Problems
744 -- 765Hongying Huang, Zheng Chen, Jin Li, Ju'e Yang. Direct Discontinuous Galerkin Method and Its Variations for Second Order Elliptic Equations
766 -- 792Eric T. Chung, Jie Du, Man Chun Yuen. An Adaptive SDG Method for the Stokes System
793 -- 818Chao Zhang, Wenjie Liu, Li-lian Wang. A New Collocation Scheme Using Non-polynomial Basis Functions
819 -- 858Enrique Fernández-Cara, Arnaud Münch, Diego A. Souza. On the Numerical Controllability of the Two-Dimensional Heat, Stokes and Navier-Stokes Equations
859 -- 895Luca Bonaventura, A. Della Rocca. Unconditionally Strong Stability Preserving Extensions of the TR-BDF2 Method
896 -- 921Matthew F. Causley, Andrew J. Christlieb, Eric M. Wolf. Method of Lines Transpose: An Efficient Unconditionally Stable Solver for Wave Propagation
922 -- 964Zhongjie Lu, Ayça Çesmelioglu, Jaap J. W. van der Vegt, Yan Xu. Discontinuous Galerkin Approximations for Computing Electromagnetic Bloch Modes in Photonic Crystals

Volume 70, Issue 1

1 -- 28Jochen Garcke, Axel Kröner. Suboptimal Feedback Control of PDEs by Solving HJB Equations on Adaptive Sparse Grids
29 -- 59Houssem Haddar, Zixian Jiang, Mohamed Kamel Riahi. A Robust Inversion Method for Quantitative 3D Shape Reconstruction from Coaxial Eddy Current Measurements
60 -- 84Hengguang Li, Qinghui Zhang. Optimal Quadrilateral Finite Elements on Polygonal Domains
85 -- 111Dongyang Shi, Junjun Wang, Fengna Yan. rot Nonconforming Finite Element
112 -- 124Qingsong Zou. An Unconditionally Stable Quadratic Finite Volume Scheme over Triangular Meshes for Elliptic Equations
125 -- 148Hailong Guo, Zhimin Zhang, Ren Zhao. Superconvergent Two-Grid Methods for Elliptic Eigenvalue Problems
149 -- 174Qili Tang, Yunqing Huang. Local and Parallel Finite Element Algorithm Based on Oseen-Type Iteration for the Stationary Incompressible MHD Flow
175 -- 191Jiangxing Wang, Chuanmiao Chen, Ziqing Xie. The Highest Superconvergence Analysis of ADG Method for Two Point Boundary Values Problem
192 -- 209Yujie Wang, FuMing Ma, Enxi Zheng. Galerkin Method for the Scattering Problem of a Slit
210 -- 242S. R. Brus, Damrongsak Wirasaet, Joannes J. Westerink, Clint Dawson. Performance and Scalability Improvements for Discontinuous Galerkin Solutions to Conservation Laws on Unstructured Grids
243 -- 271J. Chang, Satish Karra, K. B. Nakshatrala. Large-Scale Optimization-Based Non-negative Computational Framework for Diffusion Equations: Parallel Implementation and Performance Studies
272 -- 300Min Tang, Yihong Wang. Uniform Convergent Tailored Finite Point Method for Advection-Diffusion Equation with Discontinuous, Anisotropic and Vanishing Diffusivity
301 -- 341Dong Li, Zhonghua Qiao. On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn-Hilliard Equations
342 -- 354Jingtang Ma. A New Finite Element Analysis for Inhomogeneous Boundary-Value Problems of Space Fractional Differential Equations
355 -- 385Daniel Baffet, Jan S. Hesthaven. High-Order Accurate Local Schemes for Fractional Differential Equations
386 -- 406Zhengang Zhao, Yunying Zheng, Peng Guo. A Galerkin Finite Element Method for a Class of Time-Space Fractional Differential Equation with Nonsmooth Data
407 -- 428Yanmin Zhao, Pan Chen, Weiping Bu, Xiangtao Liu, Yifa Tang. Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations
429 -- 449Hong Wang, Danping Yang, Shengfeng Zhu. Accuracy of Finite Element Methods for Boundary-Value Problems of Steady-State Fractional Diffusion Equations