Search Results

• Construction of Geometric Partial Differential Equations for Level Sets

  Chong Chen, Guoliang Xu

  2018-08-22

  DOI:10.4208/jcm.2009.09-m2971

  35389 3870 pp. 105-121

• 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

• Weak Approximation of Obliquely Reflected Diffusions on Time-Dependent Domains

  Kaj Nystrom, Thomas Onskog

  2019-04-10

  DOI:10.4208/jcm.1003-m2957

  34316 3574 pp. 579-605

• 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

• Surface Finite Elements for Parabolic Equations

  G. Dziuk, C. M. Elliott

  2007-08-02

  33664 3695 pp. 385-407

• Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations

  Yan Xu, Chi-Wang Shu

  2004-04-02

  34373 3827 pp. 250-274

• 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

• Multiplicative Extrapolation Method for Constructing Higher Order Schemes for Ordinary Differential Equations

  Meng-Zhao Qin, Wei-Jie Zhu

  2021-07-01

  34668 3717 pp. 352-356

• Analysis of Moving Mesh Methods Based on Geometrical Variables

  Tao Tang, Wei-Min Xue, Ping-Wen Zhang

  2001-02-02

  35307 3927 pp. 41-54

• Strong Convergence of a Fully Discrete Finite Element Method for a Class of Semilinear Stochastic Partial Differential Equations with Multiplicative Noise

  Xiaobing Feng, Yukun Li, Yi Zhang

  2021-07-05

  DOI:10.4208/jcm.2003-m2019-0250

  40351 2900 pp. 574-598

• 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 Novel Second Order Scheme with One Step for Forward Backward Stochastic Differential Equations

  Qiang Han, Shihao Lan, Quanxin Zhu

  2025-09-15

  DOI:10.4208/jcm.2505-m2024-0206

  279 111

• Efficient and Accurate Chebyshev Dual-Petrov-Galerkin Methods for Odd-Order Differential Equations

  Xuhong Yu, Lusha Jin, Zhongqing Wang

  2021-06-10

  DOI:10.4208/jcm.1907-m2018-0285

  42426 4374 pp. 43-62

• An Efficient Numerical Method for Fractional Differential Equations with Two Caputo Derivatives

  Shuiping Yang, Aiguo Xiao

  2018-08-22

  DOI:10.4208/jcm.1510-m2014-0050

  36572 2913 pp. 113-134

• Numerical Solutions of Nonautonomous Stochastic Delay Differential Equations by Discontinuous Galerkin Methods

  Xinjie Dai, Aiguo Xiao

  2019-04-29

  DOI:10.4208/jcm.1806-m2017-0296

  40240 3065 pp. 419-436

• Weak Convergence Analysis of a Splitting-up Method for Stochastic Differential Equations

  Minxing Zhang, Yongkui Zou

  2026-04-15

  DOI:10.4208/jcm.2412-m2024-0184

  3249 206 pp. 427-445

• Implicit-Explicit Runge-Kutta-Rosenbrock Methods with Error Analysis for Nonlinear Stiff Differential Equations

  Bin Huang, Aiguo Xiao, Gengen Zhang

  2021-07-05

  DOI:10.4208/jcm.2005-m2019-0238

  39756 3153 pp. 599-620

• Boundary Value Methods for Caputo Fractional Differential Equations

  Yongtao Zhou, Chengjian Zhang, Huiru Wang

  2021-06-10

  DOI:10.4208/jcm.1907-m2018-0252

  43281 4781 pp. 108-129

• Efficient and Accurate Numerical Methods for Long-Wave Short-Wave Interaction Equations in the Semiclassical Limit Regime

  Tingchun Wang, Xiaofei Zhao, Mao Peng, Peng Wang

  2019-04-29

  DOI:10.4208/jcm.1807-m2015-0271

  43819 2996 pp. 645-665

• Alternating Direction Implicit Schemes for the Two-Dimensional Time Fractional Nonlinear Super-Diffusion Equations

  Jianfei Huang, Yue Zhao, Sadia Arshad, Kuangying Li, Yifa Tang

  2019-04-29

  DOI:10.4208/jcm.1802-m2017-0196

  42200 3038 pp. 297-315

• General Full Implicit Strong Taylor Approximations for Stiff Stochastic Differential Equations

  Kai Liu, Guiding Gu

  2022-10-06

  DOI:10.4208/jcm.2011-m2019-0174

  38410 3336 pp. 541-569

• On the Superconvergence of Collocation Methods Based on Two Post-Processing Techniques for Fractional Integro-Differential Equations with Weakly Singular Kernels

  Zhenrong Chen, Yanping Chen, Jianwei Zhou

  2026-03-23

  DOI:10.4208/jcm.2510-m2024-0290

  53 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

• Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid

  Libin Liu, Yanping Chen, Ying Liang

  2022-10-06

  DOI:10.4208/jcm.2008-m2020-0063

  37705 3135 pp. 258-274

• Reconstruction-Based a Posteriori Error Estimates for the L1 Method for Time Fractional Parabolic Problems

  Jiliang Cao, Aiguo Xiao, Wansheng Wang

  2024-11-19

  DOI:10.4208/jcm.2210-m2022-0085

  11919 1100 pp. 345-368

• Central Limit Theorem for Temporal Average of Backward Euler-Maruyama Method

  Diancong Jin

  2024-11-21

  DOI:10.4208/jcm.2311-m2023-0147

  16459 1482 pp. 588-614

• 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