Search Results

• High Order Numerical Methods to Two Dimensional Heaviside Function Integrals

  Xin Wen

  2018-08-22

  DOI:10.4208/jcm.1010-m3285

  34977 3875 pp. 305-323

• Anti-Diffusive Finite Difference WENO Methods for Shallow Water with Transport of Pollutant

  ZF Xu, CW Shu

  2006-06-02

  33673 3615 pp. 239-251

• An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation

  Junming Duan, Huazhong Tang

  2020-02-06

  DOI:10.4208/jcm.1902-m2018-0189

  41287 4437 pp. 58-83

• A General High-Order Multi-Domain Hybrid DG/WENO-FD Method for Hyperbolic Conservation Laws

  Jian Cheng, Kun Wang, Tiegang Liu

  2018-08-22

  DOI:10.4208/jcm.1510-m4512

  38897 4799 pp. 30-48

• Spectral and Spectral Element Methods for High Order Problems with Mixed Boundary Conditions

  Benyu Guo, Tao Sun, Chao Zhang

  2018-08-22

  DOI:10.4208/jcm.1403-m4373

  37290 4321 pp. 392-411 Open Access

• Numerical Boundary Conditions for the Fast Sweeping High Order WENO Methods for Solving the Eikonal Equation

  Ling Huang, Chi-Wang Shu, Mengping Zhang

  2018-08-07

  32574 3752 pp. 336-346

• High-Order Compact ADI Schemes for 2D Semi-Linear Reaction-Diffusion Equations with Piecewise Continuous Argument in Reaction Term

  Bo Hou, Chengjian Zhang

  2026-02-15

  DOI:10.4208/jcm.2410-m2024-0084

  2528 220 pp. 191-212

• High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  DOI:10.4208/jcm.1510-m2014-0002

  41317 3041 pp. 135-158

• High Accuracy Numerical Method of Thin-Film Problems in Micromagnetics

  Zhongyi Huang

  2003-02-02

  34032 3780 pp. 33-40

• Hermite WENO Schemes with Strong Stability Preserving Multi-Step Temporal Discretization Methods for Conservation Laws

  Xiaofeng Cai, Jun Zhu, Jianxian Qiu

  2018-08-22

  DOI:10.4208/jcm.1609-m2014-0069

  39454 4411 pp. 52-73

• From Energy Improvement to Accuracy Enhancement: Improvement of Plate Bending Elements by the Combined Hybrid Method

  Xiaoping Xie

  2004-08-02

  32923 3243 pp. 581-592

• A High-Order Accuracy Method for Solving the Fractional Diffusion Equations

  Maohua Ran, Chengjian Zhang

  2020-02-20

  DOI:10.4208/jcm.1805-m2017-0081

  43664 2966 pp. 239-253

• A Monotone Compact Implicit Scheme for Nonlinear Reaction-Diffusion Equations

  Yuanming Wang, Benyu Guo

  2018-08-07

  33804 3658 pp. 123-148

• High Oder Probabilistic Numerical Methods for Forward Backward Stochastic Differential Equations

  Qiang Han, Yurong Liu

  2026-02-24

  DOI:10.4208/jcm.2509-m2025-0064

  90 138

• High-Order Local Absorbing Boundary Conditions for Heat Equation in Unbounded Domains

  Xiaonan Wu, Jiwei Zhang

  2018-08-22

  DOI:10.4208/jcm.1004-m3195

  34044 4070 pp. 74-90

• High Resolution Schemes for Conservation Laws and Convection-Diffusion Equations with Varying Time and Space Grids

  HZ Tang, G Warnecke

  2006-04-02

  32057 3415 pp. 121-140

• High-Order I-Stable Centered Difference Schemes for Viscous Compressible Flows

  WZ Bao, S Jin

  2003-02-02

  34525 4319 pp. 101-112

• Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

  Ruihan Guo, Yan Xu

  2023-12-01

  DOI:10.4208/jcm.2202-m2021-0302

  31655 3074 pp. 111-133

• Quadrature Methods for Highly Oscillatory Singular Integrals

  Jing Gao, Marissa Condon, Arieh Iserles, Benjamin Gilvey, Jon Trevelyan

  2020-11-04

  DOI:10.4208/jcm.1911-m2019-0044

  46835 3154 pp. 227-260

• Two-Grid Discretization Schemes of the Nonconforming FEM for Eigenvalue Problems

  Yidu Yang

  2021-07-01

  DOI:10.4208//jcm.2009.09-m2876

  34940 3781 pp. 748-763

• High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

  Mohammad Tanzil Hasan, Chuanju Xu

  2020-05-19

  DOI:10.4208/jcm.1902-m2017-0280

  39591 3074 pp. 580-605

• Tailored Finite Cell Method for Solving Helmholtz Equation in Layered Heterogeneous Medium

  Zhongyi Huang, Xu Yang

  2018-08-22

  DOI:10.4208/jcm.1111-m3679

  35162 3494 pp. 381-391

• A High Order Adaptive Finite Element Method for Solving Nonlinear Hyperbolic Conservation Laws

  Zhengfu Xu, Jinchao Xu, Chi-Wang Shu

  2018-08-22

  DOI:10.4208/jcm.1105-m3392

  34714 3571 pp. 491-500

• Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

  Lingling Zhou, Wenhua Chen, Ruihan Guo

  2026-02-15

  DOI:10.4208/jcm.2410-m2024-0092

  2567 254 pp. 286-306

• High Resolution Schemes and Discrete Entropy Conditions for 2-D Linear Conservation Laws

  N. Zhao & H. Z. Tang

  1995-06-02

  33693 3578 pp. 281-289

• Uniform Superconvergence Analysis of a Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors

  Yanmi Wu, Dongyang Shi

  2024-01-16

  DOI:10.4208/jcm.2203-m2021-0058

  25648 2148 pp. 415-431

• Solution of Optimal Transportation Problems Using a Multigrid Linear Programming Approach

  Adam M. Oberman, Yuanlong Ruan

  2021-07-01

  DOI:10.4208/jcm.1907-m2017-0224

  42193 4255 pp. 933-951