Search Results

• 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

  29725 2636 Pages:1281-1304

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

  Xiaobing Feng, Thomas Lewis

  2018-08-22

  36974 4927 Pages:107-135 Open-access

• An Iterative Hybridized Mixed Finite Element Method for Elliptic Interface Problems with Strongly Discontinuous Coefficients

  Dao-Qi Yang, Jennifer Zhao

  2003-06-02

  32543 3370 Pages:257-276

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

  Yan Xu, Chi-Wang Shu

  2004-04-02

  34370 3822 Pages:250-274

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

  Kaifang Liu

  2025-11-26

  192 228

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

  Xinjie Dai, Aiguo Xiao

  2019-04-29

  40234 3062 Pages:419-436

• A Space-Time Trefftz DG Method for the Second Order Time-Dependent Maxwell System in Anisotropic Media

  Long Yuan, Xiaoyu Wang, Xiaoqiang Yue

  2026-04-15

  3171 191 Pages:394-426

• On the Quasi-Random Choice Method for the Liouville Equation of Geometrical Optics with Discontinuous Wave Speed

  Jingwei Hu, Shi Jin

  2021-07-01

  37573 4205 Pages:573-591

• 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

  38873 3218 Pages:623-642

• Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

  Mahboub Baccouch

  2018-08-22

  36340 2836 Pages:511-531

• Discontinuous Galerkin Calculations for a Nonlinear PDE Model of DNA Transcription with Short, Transient and Frequent Pausing

  Lisa Davis, Tomáš Gedeon, Jennifer Thorenson

  2021-07-01

  36628 3893 Pages:601-629

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

  Yanzhao Cao, Ran Zhang, Kai Zhang

  2018-08-07

  32753 3805 Pages:702-715

• The Optimal Convergence Order of the Discontinuous Finite Element Methods for First Order Hyperbolic Systems

  Tie Zhang, Datao Shi, Zhen Li

  2018-08-07

  32673 3659 Pages:689-701

• A Direct Discontinuous Galerkin Method for Time Fractional Diffusion Equations with Fractional Dynamic Boundary Conditions

  Jingjun Zhao, Wenjiao Zhao, Yang Xu

  2023-12-01

  29784 2643 Pages:156-177

• A Numerical Study of Uniform Superconvergence of LDG Method for Solving Singularly Perturbed Problems

  Ziqing Xie, Zuozheng Zhang, Zhimin Zhang

  2018-08-07

  33212 3854 Pages:280-298

• How to Prove the Discrete Reliability for Nonconforming Finite Element Methods

  Carsten Carstensen, Sophie Puttkammer

  2020-02-06

  44447 4570 Pages:142-175

• Robust Globally Divergence-Free Weak Galerkin Methods for Stokes Equations

  Gang Chen, Minfu Feng, Xiaoping Xie

  2018-08-22

  36737 2931 Pages:549-572

• A Modified Weak Galerkin Finite Element Method for Sobolev Equation

  Fuzheng Gao, Xiaoshen Wang

  2018-08-22

  36456 2875 Pages:307-322

• A Parameter-Uniform Tailored Finite Point Method for Singularly Perturbed Linear ODE Systems

  Houde Han, J. J. H. Miller, Min Tang

  2018-08-22

  36835 4065 Pages:422-438

• Modified Upwind Taylor Finite Element Schemes for 1-D Conservation Laws I. A Basic Idea

  S. L. Yang

  1995-06-02

  33024 3342 Pages:243-249

• Computation of Discontinuous Solutions of Hyperbolic Systems with Weakly Conservative Difference Schemes

  Lan Chieh Huang

  2021-07-01

  37429 3607 Pages:372-375