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

  Chad Vidden & Jue Yan

  2021-07-01

  37638 3836 Pages: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

  29591 2596 Pages:1281-1304

• Mixed Discontinuous Galerkin Method for Quasi-Newtonian Stokes Flows

  Yanxia Qian, Fei Wang, Wenjing Yan

  2024-04-08

  18727 1955 Pages:885-910

• A Posteriori Energy-Norm Error Estimates for Advection-Diffusion Equations Approximated by Weighted Interior Penalty Methods

  Alexandre Ern & Annette F. Stephansen

  2018-08-07

  31530 3415 Pages:488-510

• 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

  2265 160 Pages:286-306

• A Simple Error Estimate of Discontinuous Galerkin Methods for Elliptic Equations with Low Regularity

  Kaifang Liu

  2025-11-26

  137 160

• Space-Time Continuous and Time Discontinuous Galerkin Schemes Based on Isogeometric Analysis for Nonlinear Time-Fractional Partial Differential Equations

  Ang Ge, Jinye Shen, Lijun Yi

  2024-11-18

  11497 1252 Pages:89-120

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

  Xinjie Dai, Aiguo Xiao

  2019-04-29

  40140 3037 Pages:419-436

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

  Tianliang Hou, Yanping Chen

  2018-08-22

  37344 3023 Pages:158-178

• High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients

  Xiufang Feng, Zhilin Li, & Zhonghua Qiao

  2018-08-22

  36350 4338 Pages:324-340 Open-access

• Dissipative Numerical Methods for the Hunter-Saxton Equation

  Yan Xu & Chi-Wang Shu

  2019-04-10

  36793 3348 Pages:606-620

• A New Approach to Recovery of Discontinuous Galerkin

  Sebastian Franz, Lutz Tobiska & Helena Zarin

  2021-07-01

  35539 3748 Pages:697-712

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

  Yan Xu, Chi-Wang Shu

  2004-04-02

  34264 3783 Pages:250-274

• Superconvergence of Discontinuous Galerkin Method for Nonstationary Hyperbolic Equation

  Ying Chen, Jia-Fu Lin, Qun Lin

  2002-08-02

  33315 3362 Pages:429-436

• Discontinuous Finite Element Method for Convection-Diffusion Equations

  Abdellatif Agouzal

  2021-07-01

  31371 3754 Pages:639-644

• Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

  Shukai Du, Samuel N. Stechmann

  2026-02-15

  2387 222 Pages:1-34

• An Oscillation-Free Discontinuous Galerkin Method for a Nonlinear Stochastic Convection-Dominated Diffusion Problem and Its Error Analysis

  Yaping Li, Weidong Zhao, Wenju Zhao

  2025-09-28

  4863 426 Pages:1264-1289

• The Finite Element Method for Semilinear Parabolic Equations with Discontinuous Coefficients

  Hui Feng, Long-Jun Shen

  1999-04-02

  32688 3318 Pages:191-198

• Optimal Error Estimates of the Local Discontinuous Galerkin Method with Generalized Numerical Fluxes for One-Dimensional KdV Type Equations

  Hongjuan Zhang, Xiong Meng, Dazhi Zhang, Boying Wu

  2024-11-18

  11506 1207 Pages:63-88

• Analysis of the Implicit-Explicit Ultra-Weak Discontinuous Galerkin Method for Convection-Diffusion Problems

  Haijin Wang, Anping Xu, Qi Tao

  2023-12-01

  29258 2976 Pages:1-23

• 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

  38741 3196 Pages:623-642

• Sub-Optimal Convergence of Discontinuous Galerkin Methods with Central Fluxes for Linear Hyperbolic Equations with Even Degree Polynomial Approximations

  Yong Liu, Chi-Wang Shu, Mengping Zhang

  2021-07-05

  41549 3231 Pages:518-537

• Uniform Stability and Error Analysis for Some Discontinuous Galerkin Methods

  Qingguo Hong, Jinchao Xu

  2020-11-04

  48127 3160 Pages:283-310

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

  Junming Duan, Huazhong Tang

  2020-02-06

  41168 4321 Pages:58-83

• A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem

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

  2019-04-29

  41943 3108 Pages:524-540

• C0 Discontinuous Galerkin Methods for a Plate Frictional Contact Problem

  Fei Wang, Tianyi Zhang, Weimin Han

  2018-09-10

  38444 3159 Pages:184-200

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

  Yao Cheng, Qiang Zhang

  2018-08-22

  38686 2826 Pages:265-288