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  • Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization

    Zhiwei He, Fujie Gao, Baolin Tian, Jiequan Li
    2020-05-06
    49633 3646 Pages:1470-1484
  • High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

    Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu
    2019-08-27
    47125 3309 Pages:1530-1574
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45740 3874 Pages:1394-1412
  • A Charge Preserving Scheme for the Numerical Resolution of the Vlasov-Ampère Equations

    Nicolas Crouseilles & Thomas Respaud
    2011-10-01
    40134 4022 Pages:1001-1026
  • Reinitialization of the Level-Set Function in 3d Simulation of Moving Contact Lines

    Shixin Xu & Weiqing Ren
    2020-07-30
    42491 3484 Pages:1163-1182
  • Space-Time Discontinuous Galerkin Method for Maxwell's Equations

    Ziqing Xie, Bo Wang & Zhimin Zhang
    2013-10-05
    39367 3957 Pages:916-939
  • Time Integration Schemes Based on Neural Networks for Solving Partial Differential Equations on Coarse Grids

    Xinxin Yan, Zhideng Zhou, Xiaohan Cheng, Xiaolei Yang
    2024-12-02
    201 54 Pages:1262-1306
  • High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

    Shangting Li, Huazhong Tang
    2025-08-08
    4416 398 Pages:538-574
  • Explicit Symplectic Methods for the Nonlinear Schrödinger Equation

    Hua Guan, Yandong Jiao, Ju Liu & Yifa Tang
    2009-06-01
    39619 3861 Pages:639-654
  • An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids

    Takanori Haga, Keisuke Sawada & Z. J. Wang
    2020-07-30
    39378 4166 Pages:978-996
  • A Well-Balanced and Non-Negative Numerical Scheme for Solving the Integrated Shallow Water and Solute Transport Equations

    Qiuhua Liang
    2010-07-01
    39840 4294 Pages:1049-1075
  • A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

    Jun Zhu, Jianxian Qiu
    2020-07-30
    44777 3830 Pages:897-920
  • A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows

    Wei Liu, Li Yuan & Chi-Wang Shu
    2011-10-01
    40396 4012 Pages:785-806
  • Adaptive Fully Implicit Simulator with Multilevel Schwarz Methods for Gas Reservoir Flows in Fractured Porous Media

    Rui Li, Haijian Yang, Chao Yang
    2021-10-26
    47322 3226 Pages:1499-1528
  • A Wavelet-Adaptive Method for Multiscale Simulation of Turbulent Flows in Flying Insects

    Thomas Engels, Kai Schneider, Julius Reiss, Marie Farge
    2021-08-10
    48454 3164 Pages:1118-1149
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