Search Results

• 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 Numerical Methods to Two Dimensional Heaviside Function Integrals

  Xin Wen

  2018-08-22

  DOI:10.4208/jcm.1010-m3285

  34977 3875 pp. 305-323

• Exponential Fourier Collocation Methods for Solving First-Order Differential Equations

  Bin Wang, Xinyuan Wu, Fanwei Meng, Yonglei Fang

  2021-07-01

  DOI:10.4208/jcm.1611-m2016-0596

  41224 3814 pp. 711-736

• 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

• 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

• 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

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

  WZ Bao, S Jin

  2003-02-02

  34525 4319 pp. 101-112

• Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

  Xiaobing Feng, Thomas Lewis

  2018-08-22

  DOI:10.4208/jcm.1401-m4357

  36980 4938 pp. 107-135 Open Access

• 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

• Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction

  Begoña Cano, María Jesús Moreta

  2025-10-30

  DOI:10.4208/jcm.2407-m2023-0131

  4515 307 pp. 1604-1620

• 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

• 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

• A High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative

  Xingyang Ye, Junying Cao, Chuanju Xu

  2024-11-21

  DOI:10.4208/jcm.2312-m2023-0098

  16422 1549 pp. 615-640

• 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

• Well-Conditioned Frames for High Order Finite Element Methods

  Kaibo Hu, Ragnar Winther

  2021-04-07

  DOI:10.4208/jcm.2001-m2018-0078

  42229 3330 pp. 333-357

• High-Order Symplectic and Symmetric Composition Methods for Multi-Frequency and Multi-Dimensional Oscillatory Hamiltonian Systems

  Kai Liu, Xinyuan Wu

  2018-08-22

  DOI:10.4208/jcm.1502-m2014-0082

  37042 2854 pp. 356-378

• 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

• Error Analysis of Stabilized Convex Splitting ${\rm BDF}k$ Method for the Molecular Beam Epitaxial Model with Slope Selection

  Juan Li, Xuping Wang

  2026-02-15

  DOI:10.4208/jcm.2410-m2024-0001

  2559 251 pp. 165-190

• Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition

  Lavanya V Salian, Rathan Samala, Rakesh Kumar

  2025-11-19

  DOI:10.4208/jcm.2509-m2024-0296

  215 155

• High Order Weighted Essentially Non-Oscillation Schemes for One-Dimensional Detonation Wave Simulations

  Zhen Gao, Wai Sun Don, Zhiqiu Li

  2021-07-01

  DOI:10.4208/jcm.1110-m11si02

  35339 3587 pp. 623-638

• High Order Approximation of One-Way Wave Equations

  Guan-Quan Zhang

  1985-03-01

  33867 3908 pp. 90-96

• 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

• A New Stabilized Finite Element Method for Solving Transient Navier-Stokes Equations with High Reynolds Number

  Chunmei Xie, Minfu Feng

  2020-03-24

  DOI:10.4208/jcm.1810-m2018-0096

  40080 3011 pp. 395-416

• 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

• 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

• A First-Order Numerical Scheme for Forward-Backward Stochastic Differential Equations in Bounded Domains

  Jie Yang, Guannan Zhang, Weidong Zhao

  2019-02-12

  DOI:10.4208/jcm.1612-m2016-0582

  39632 2952 pp. 237-258

• A Stopping Criterion for Higher-Order Sweeping Schemes for Static Hamilton-Jacobi Equations

  Susana Serna, Jianliang Qian

  2018-08-22

  DOI:10.4208/jcm.1003-m0016

  33778 3727 pp. 552-568