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  • An $h$-Adaptive RKDG Method for Two-Dimensional Detonation Wave Simulations

    Hongqiang Zhu & Zhen Gao
    2019-01-07
    40008 4762 Pages:165-184
  • A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations

    Wenping Yuan, Yanping Chen, Yunqing Huang
    2020-08-15
    50379 3149 Pages:818-837
  • A Fast Discontinuous Galerkin Finite Element Method for a Bond-Based Linear Peridynamic Model

    Jincheng Dong, Ning Du, Zhiwei Yang
    2025-10-29
    4556 82 Pages:129-151
  • An Energy Stable TFPM-Based Petrov-Galerkin Scheme for Solving the Allen-Cahn Equation

    Yueran Wang, Wenli Yang, Zhongyi Huang
    2025-11-14
    1784 45 Pages:427-456
  • A Jacobi-Galerkin Spectral Method for Computing the Ground and First Excited States of Nonlinear Fractional Schrödinger Equation

    Ying Ma, Lizhen Chen
    2020-04-01
    42024 3111 Pages:274-294
  • A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Fokker-Planck Equation with Nonsmooth Solution

    Wei Zeng, Aiguo Xiao, Weiping Bu, Junjie Wang, Shucun Li
    2020-05-04
    41870 4379 Pages:89-105
  • An $L^∞$-Error Estimate for the $h$-$p$ Version Continuous Petrov-Galerkin Method for Nonlinear Initial Value Problems

    Lijun Yi
    2018-02-09
    37139 3287 Pages:301-311
  • A Legendre-Laguerre-Galerkin Method for Uniform Euler-Bernoulli Beam Equation

    M.A. Bassuony, W.M. Abd-Elhameed, E.H. Doha & Y.H. Youssri
    2018-09-17
    41744 3160 Pages:280-295
  • Convergence of a Discontinuous Galerkin Method on Bakhvalov-Type Meshes for Singularly Perturbed Volterra Integro-Differential Equations

    Yige Liao, Xianbing Luo
    2025-06-18
    6834 511 Pages:770-786
  • A Hybridisable Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion-Reaction Equations

    Wei Pi, Yihui Han, Shiquan Zhang
    2020-06-12
    45965 3346 Pages:455-484
  • An Adaptive Time Stepping Method for Transient Dynamic Response Analysis

    Jianguo Huang & Huashan Sheng
    2018-02-09
    36870 3108 Pages:152-170
  • A Subspace-Projected Approximate Matrix Method for Systems of Linear Equations

    Jan Brandts & Ricardo R. da Silva
    2018-02-09
    39246 4313 Pages:120-137
  • A Weak Galerkin Finite Element Method for Multi-Term Time-Fractional Diffusion Equations

    Jun Zhou, Da Xu & Hongbin Chen
    2018-09-17
    40497 5032 Pages:181-193
  • A Weak Galerkin Method with RT Elements for a Stochastic Parabolic Differential Equation

    Hongze Zhu, Yongkui Zou, Shimin Chai, Chenguang Zhou
    2019-10-09
    39038 3000 Pages:818-830
  • Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: Weak Galerkin Method

    Xiu Ye, Shangyou Zhang
    2022-04-06
    49807 3373 Pages:590-598
  • A Weak Galerkin Method for the Coupled Darcy-Stokes Problem with a Nonstandard Transmission Condition on the Stokes Boundary

    Jingjun Zhao, Zhiqiang Lv, Yang Xu
    2025-01-03
    17467 1289 Pages:29-52
  • A Weak Galerkin Finite Element Method for $p$-Laplacian Problem

    Xiu Ye, Shangyou Zhang
    2021-02-23
    53199 3355 Pages:219-233
  • An $hp$-Version of $C^0$ -Continuous Petrov-Galerkin Time-Stepping Method for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

    Shuangshuang Li, Lina Wang, Lijun Yi
    2020-11-24
    45583 4305 Pages:20-42
  • A High-Order Arbitrary Lagrangian-Eulerian Oscillation-Free Discontinuous Galerkin Scheme for One-Dimensional Compressible Multi-Material Flows

    Xiaolong Zhao, Xijun Yu, Shicang Song, Shijun Zou, Fang Qing
    2025-06-06
    5240 480 Pages:520-539
  • An H(div)-Conforming Finite Element Method for the Biot Consolidation Model

    Yuping Zeng, Mingchao Cai & Feng Wang
    2019-06-03
    41091 3024 Pages:558-579
  • A Posteriori Error Estimator for a Weak Galerkin Finite Element Solution of the Stokes Problem

    Xiaobo Zheng & Xiaoping Xie
    2018-03-19
    45209 3275 Pages:508-529
  • Postprocessing-Based a Posteriori Error Estimation for Spectral Galerkin Approximations of Fourth-Order Boundary Value Problems

    Zhe Li, Tao Sun, Lijun Yi
    2025-01-07
    12537 1255 Pages:314-343
  • Sparse Grid Collocation Method for an Optimal Control Problem Involving a Stochastic Partial Differential Equation with Random Inputs

    Nary Kim & Hyung-Chun Lee
    2018-02-09
    36449 4202 Pages:166-188
  • Fast Algorithm Based on TT-M FE Method for Allen-Cahn Equation

    Danxia Wang, Qingqing Du, Lingxiong Meng, Hongen Jia
    2020-04-01
    41171 3000 Pages:316-337
  • Stability and Convergence of $L1$-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation

    Yanping Chen, Xiuxiu Lin, Mengjuan Zhang, Yunqing Huang
    2023-01-04
    41517 3929 Pages:22-46
  • Numerical Analysis for a Nonlocal Parabolic Problem

    M. Mbehou, R. Maritz & P.M.D. Tchepmo
    2018-02-09
    35933 3186 Pages:434-447
  • Two-Grid Finite Element Methods of Crank-Nicolson Galerkin Approximation for a Nonlinear Parabolic Equation

    Zhijun Tan, Kang Li, Yanping Chen
    2020-08-15
    48252 3106 Pages:800-817
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