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  • 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
    2025-11-20
    1336 63 Pages:286-306
  • A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations

    Chad Vidden & Jue Yan
    2021-07-01
    37526 3807 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
    29453 2555 Pages:1281-1304
  • Uniform Stability and Error Analysis for Some Discontinuous Galerkin Methods

    Qingguo Hong, Jinchao Xu
    2020-11-04
    48019 3127 Pages:283-310
  • Numerical Solutions of Nonautonomous Stochastic Delay Differential Equations by Discontinuous Galerkin Methods

    Xinjie Dai, Aiguo Xiao
    2019-04-29
    40043 3007 Pages:419-436
  • Dissipative Numerical Methods for the Hunter-Saxton Equation

    Yan Xu & Chi-Wang Shu
    2019-04-10
    36654 3326 Pages:606-620
  • Mixed Discontinuous Galerkin Method for Quasi-Newtonian Stokes Flows

    Yanxia Qian, Fei Wang, Wenjing Yan
    2024-04-08
    18611 1921 Pages:885-910
  • A New Hybridized Mixed Weak Galerkin Method for Second-Order Elliptic Problems

    Abdelhamid Zaghdani, Sayed Sayari, Miled EL Hajji
    2022-10-06
    39388 3054 Pages: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
    38605 3166 Pages: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
    41822 3086 Pages: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
    41007 2977 Pages: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
    32558 3735 Pages:702-715
  • Mixed Discontinuous Galerkin Time-Stepping Method for Linear Parabolic Optimal Control Problems

    Tianliang Hou, Yanping Chen
    2018-08-22
    37260 2999 Pages:158-178
  • Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations

    Yan Xu, Chi-Wang Shu
    2004-04-02
    34172 3746 Pages: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
    38565 2798 Pages:265-288
  • Exponentially Fitted Local Discontinuous Galerkin Method for Convection-Diffusion Problems

    Tao Yu & Xingye Yue
    2012-06-02
    34719 3468 Pages: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
    32213 3632 Pages:347-364
  • An Over-Penalized Weak Galerkin Method for Second-Order Elliptic Problems

    Kaifang Liu, Lunji Song, Shuangfeng Zhou
    2021-07-01
    43762 3952 Pages:866-880
  • Super-Geometric Convergence of Spectral Element Method for Eigenvalue Problems with Jump Coefficients

    Lin Wang, Ziqing Xie & Zhimin Zhang
    2018-08-22
    34693 3577 Pages: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
    31302 2846 Pages:111-133
  • High Order Stable Multi-Domain Hybrid RKDG and WENO-FD Methods

    Fan Zhang, Jian Cheng, Tiegang Liu
    2018-09-17
    39628 2849 Pages: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
    35386 3512 Pages:107-136
  • Error Estimate on a Fully Discrete Local Discontinuous Galerkin Method for Linear Convection-Diffusion Problem

    Haijin Wang & Qiang Zhang
    2018-08-22
    36462 3644 Pages: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
    33708 3936 Pages: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
    136 31
  • 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
    43922 3013 Pages:310-336
  • The a Posteriori Error Estimator of SDG Method for Variable Coefficients Time-Harmonic Maxwell's Equations

    Wei Yang, Xin Liu, Bin He, Yunqing Huang
    2022-11-15
    301764 3093 Pages:263-286
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