Search Results

• 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 New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations

  Chad Vidden, Jue Yan

  2021-07-01

  DOI:10.4208/jcm.1307-m4273

  37746 3865 pp. 638-662

• A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties

  Jingrun Chen, Shi Jin, Liyao Lyu

  2023-11-08

  DOI:10.4208/jcm.2205-m2021-0277

  29727 2640 pp. 1281-1304

• Uniform Stability and Error Analysis for Some Discontinuous Galerkin Methods

  Qingguo Hong, Jinchao Xu

  2020-11-04

  DOI:10.4208/jcm.2003-m2018-0223

  48249 3205 pp. 283-310

• 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

• Dissipative Numerical Methods for the Hunter-Saxton Equation

  Yan Xu, Chi-Wang Shu

  2019-04-10

  DOI:10.4208/jcm.1003-m0003

  36968 3403 pp. 606-620

• Mixed Discontinuous Galerkin Method for Quasi-Newtonian Stokes Flows

  Yanxia Qian, Fei Wang, Wenjing Yan

  2024-04-08

  DOI:10.4208/jcm.2211-m2021-0255

  18874 1981 pp. 885-910

• A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems

  Abdelhamid Zaghdani, Sayed Sayari, Miled EL Hajji

  2022-10-06

  DOI:10.4208/jcm.2011-m2019-0142

  39622 3114 pp. 499-516

• Positivity-Preserving Local Discontinuous Galerkin Method for Pattern Formation Dynamical Model in Polymerizing Actin Flocks

  Xiuhui Guo, Lulu Tian, Yang Yang, Hui Guo

  2023-04-25

  DOI:10.4208/jcm.2108-m2021-0143

  38878 3224 pp. 623-642

• A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem

  Ruo Li, Pingbing Ming, Zhiyuan Sun, Fanyi Yang, Jerry Zhijian Yang

  2019-04-29

  DOI:10.4208/jcm.1807-m2017-0276

  42079 3136 pp. 524-540

• 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

• Finite Element and Discontinuous Galerkin Method for Stochastic Helmholtz Equation in Two- and Three-Dimensions

  Yanzhao Cao, Ran Zhang, Kai Zhang

  2018-08-07

  32755 3814 pp. 702-715

• Mixed Discontinuous Galerkin Time-Stepping Method for Linear Parabolic Optimal Control Problems

  Tianliang Hou, Yanping Chen

  2018-08-22

  DOI:10.4208/jcm.1211-m4267

  37467 3061 pp. 158-178

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

  Yan Xu, Chi-Wang Shu

  2004-04-02

  34373 3827 pp. 250-274

• Local Analysis of the Fully Discrete Local Discontinuous Galerkin Method for the Time-Dependent Singularly Perturbed Problem

  Yao Cheng, Qiang Zhang

  2018-08-22

  DOI:10.4208/jcm.1605-m2015-0398

  38806 2857 pp. 265-288

• Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems

  Tao Yu, Xingye Yue

  2012-06-02

  DOI:10.4208/jcm.1110-m3537

  34938 3539 pp. 298-310

• Reflection/Transmission Characteristics of a Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media

  Xia Ji, Wei Cai, Pingwen Zhang

  2018-08-07

  32393 3688 pp. 347-364

• The Quadratic Discontinuous Finite Volume Element Schemes for Elliptic Problems

  Yuzhi Lou, Hongxing Rui, Xiufang Feng

  2026-03-02

  DOI:10.4208/jcm.2509-m2024-0241

  86 70

• An Over-Penalized Weak Galerkin Method for Second-Order Elliptic Problems

  Kaifang Liu, Lunji Song, Shuangfeng Zhou

  2021-07-01

  DOI:10.4208/jcm.1705-m2016-0744

  44010 4017 pp. 866-880

• Super-Geometric Convergence of Spectral Element Method for Eigenvalue Problems with Jump Coefficients

  Lin Wang, Ziqing Xie, Zhimin Zhang

  2018-08-22

  DOI:10.4208/jcm.2009.10-m1006

  34909 3661 pp. 418-428

• 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 Stable Multi-Domain Hybrid RKDG and WENO-FD Methods

  Fan Zhang, Jian Cheng, Tiegang Liu

  2018-09-17

  DOI:10.4208/jcm.1702-m2016-0707

  39827 2907 pp. 517-541

• A Multi-Domain Spectral IPDG Method for Helmholtz Equation with High Wave Number

  Lunji Song, Jing Zhang, Li-Lian Wang

  2018-08-22

  DOI:10.4208/jcm.1210-m4094

  35608 3569 pp. 107-136

• Error Estimate on a Fully Discrete Local Discontinuous Galerkin Method for Linear Convection-Diffusion Problem

  Haijin Wang, Qiang Zhang

  2018-08-22

  DOI:10.4208/jcm.1212-m4174

  36694 3694 pp. 283-307

• A Priori Error Estimates of a Combined Mixed Finite Element and Discontinuous Galerkin Method for Compressible Miscible Displacement with Molecular Diffusion and Dispersion

  Jiming Yang, Yanping Chen

  2018-08-22

  DOI:10.4208/jcm.1006-m2991

  33931 4065 pp. 91-107

• Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws over Rectangular Meshes

  Waixiang Cao, Zhimin Zhang, Qingsong Zou

  2025-09-05

  DOI:10.4208/jcm.2504-m2024-0201

  591 44 pp. 843–870

• A $C^0$-Weak Galerkin Finite Element Method for the Two-Dimensional Navier-Stokes Equations in Stream-Function Formulation

  Baiju Zhang, Yan Yang, Minfu Feng

  2020-02-20

  DOI:10.4208/jcm.1806-m2017-0287

  44158 3067 pp. 310-336