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  • Construction of the Local Structure-Preserving Algorithms for the General Multi-Symplectic Hamiltonian System

    Jialing Wang, Yushun Wang, Dong Liang
    2020-07-30
    44627 3643 Pages:828-860
  • Simulation of Inviscid Compressible Flows Using PDE Transform

    Langhua Hu, Siyang Yang & Guo-Wei Wei
    2014-11-08
    43159 5609 Pages:1201-1238
  • Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

    Haoxiang Huang, Vigor Yang, Yingjie Liu
    2023-11-08
    76945 3630 Pages:907-933
  • High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws

    Huajun Zhu, Zhenguo Yan, Huayong Liu, Meiliang Mao & Xiaogang Deng
    2018-08-21
    47875 3503 Pages:1355-1392
  • A Compact Scheme for Coupled Stochastic Nonlinear Schrödinger Equations

    Chuchu Chen, Jialin Hong, Lihai Ji & Linghua Kong
    2018-04-08
    41290 4495 Pages:93-125
  • A Conformal Energy-Conserved Method for Maxwell's Equations with Perfectly Matched Layers

    Chaolong Jiang, Jin Cui & Yushun Wang
    2018-09-01
    45967 5163 Pages:84-106
  • First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

    Hao-Chen Wang, Meilin Yu, Heng Xiao
    2025-11-07
    2687 152 Pages:1-28
  • Improvement on Spherical Symmetry in Two-Dimensional Cylindrical Coordinates for a Class of Control Volume Lagrangian Schemes

    Juan Cheng & Chi-Wang Shu
    2020-07-31
    39741 4044 Pages:1144-1168
  • Effect of Geometric Conservation Law on Improving Spatial Accuracy for Finite Difference Schemes on Two-Dimensional Nonsmooth Grids

    Meiliang Mao, Huajun Zhu, Xiaogang Deng, Yaobing Min & Huayong Liu
    2018-04-03
    39631 3017 Pages:673-706
  • A High-Resolution Cell-Centered Lagrangian Method with a Vorticity-Based Adaptive Nodal Solver for Two-Dimensional Compressible Euler Equations

    Jin Qi, Baolin Tian & Jiequan Li
    2018-09-17
    45086 3172 Pages:774-790
  • Stochastic Multi-Symplectic Integrator for Stochastic Nonlinear Schrödinger Equation

    Shanshan Jiang, Lijin Wang & Jialin Hong
    2014-08-05
    41434 3968 Pages:393-411
  • Symmetry Preservation by a Compatible Staggered Lagrangian Scheme Using the Control-Volume Discretization Method in $r–z$ Coordinate

    Chunyuan Xu, Qinghong Zeng
    2023-08-14
    33141 3252 Pages:38-64
  • Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

    Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu
    2024-06-14
    27753 1809 Pages:1352-1386
  • A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport

    Chang Liu & Kun Xu
    2017-11-02
    52358 3632 Pages:1175-1223
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    27860 2014 Pages:1073-1119
  • A Novel Second-Order Scheme for the Molecular Beam Epitaxy Model with Slope Selection

    Lizhen Chen, Jia Zhao & Yuezheng Gong
    2018-12-08
    48949 3633 Pages:1024-1044
  • An Energy-Preserving Wavelet Collocation Method for General Multi-Symplectic Formulations of Hamiltonian PDEs

    Yuezheng Gong & Yushun Wang
    2020-07-30
    42209 3501 Pages:1313-1339
  • LOD-MS for Gross-Pitaevskii Equation in Bose-Einstein Condensates

    Linghua Kong, Jialin Hong & Jingjing Zhang
    2014-07-05
    39122 4745 Pages:219-241
  • A Class of Hybrid DG/FV Methods for Conservation Laws III: Two-Dimensional Euler Equations

    Laiping Zhang, Wei Liu, Lixin He & Xiaogang Deng
    2012-12-01
    40690 4505 Pages:284-314
  • High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

    Liang Pan, Kun Xu
    2020-08-27
    48934 3260 Pages:1321-1351
  • A Consistency Study of Coarse-Grained Dynamical Chains through a Nonlinear Wave Equation of Mixed Type

    Mingjie Liao, Ping Lin
    2020-07-30
    43342 3577 Pages:921-948
  • Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

    Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia & Songhe Song
    2018-12-08
    49667 3533 Pages:1127-1143
  • Simulating Magnetohydrodynamic Instabilities with Conservative Perturbed MHD Model Using Discontinuous Galerkin Method

    Jun Ma, Wenfeng Guo & Zhi Yu
    2018-04-09
    41580 12082 Pages:1429-1448
  • Solving Vlasov-Poisson-Fokker-Planck Equations Using $NRxx$ method

    Yanli Wang & Shudao Zhang
    2018-04-09
    41104 3157 Pages:782-807
  • High-Order and High Accurate CFD Methods and Their Applications for Complex Grid Problems

    Xiaogang Deng, Meiliang Mao, Guohua Tu, Hanxin Zhang & Yifeng Zhang
    2020-07-31
    40485 4766 Pages:1081-1102 Open-access
  • Staggered Lagrangian Discretization Based on Cell-Centered Riemann Solver and Associated Hydrodynamics Scheme

    Pierre-Henri Maire, Raphaël Loubère & Pavel Váchal
    2011-10-01
    39622 4085 Pages:940-978
  • On the Connection Between the Spectral Difference Method and the Discontinuous Galerkin Method

    Georg May
    2011-09-01
    38277 3828 Pages:1071-1080
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