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Advances in Applied Mathematics and Mechanics
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  • A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

    Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji
    2021-06-08
    45031 3067 Pages:1261-1292
  • A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

    Wei Gao, Yang Liu, Bin Cao, Hong Li
    2012-04-01
    41216 4342 Pages:617-635
  • A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

    Yue Zhou, Hang Xu
    2023-04-11
    37516 3085 Pages:964-983
  • A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

    Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma
    2024-11-01
    15838 1410 Pages:1358-1380
  • A New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations

    Xiaogang Li, Guodong Li, Yongbin Ge
    2020-10-20
    50981 4699 Pages:58-82
  • Simulations of Two-Step Maruyama Methods for Nonlinear Stochastic Delay Differential Equations

    Wanrong Cao, Zhongqiang Zhang
    2021-07-01
    42683 4188 Pages:821-832
  • A Novel Low-Dimensional Method for Analytically Solving Partial Differential Equations

    Jie Sha, Lixiang Zhang, Chuijie Wu
    2021-07-01
    42797 4151 Pages:754-779
  • A Generalization of a Troubled-Cell Indicator to $h$-Adaptive Meshes for Discontinuous Galerkin Methods

    Hongqiang Zhu, Wenxiu Han, Haijin Wang
    2020-07-24
    49335 3287 Pages:1224-1246
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