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  • 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
    39857 4079 Pages:1144-1168
  • Derivative-Based Finite-Volume MR-HWENO Scheme for Steady-State Problems

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2024-10-29
    21908 1207 Pages:877-907
  • High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

    Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu
    2024-07-29
    28057 1994 Pages:1-29
  • Virtual Body-Fitted Grid-Based Immersed Boundary Velocity Correction Method for Simulation of Incompressible Flows with Moving Boundaries

    Yinjie Du, Liming Yang, Yang Xiao, Yuxin Song, Chang Shu
    2025-09-02
    10289 673 Pages:643-674
  • ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

    Wanshan Li, Yile Zhang, Yau Shu Wong, Dong Liang
    2018-04-03
    40481 4896 Pages:94-123
  • An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

    Xiaoqiang Yue, Shi Shu, Xiaowen Xu, Zhiyang Zhou
    2020-07-30
    40108 3354 Pages:1313-1335
  • Three-Dimensional Lattice Boltzmann Flux Solver and Its Applications to Incompressible Isothermal and Thermal Flows

    Yan Wang, Chang Shu, Chiang Juay Teo, Jie Wu, Liming Yang
    2018-04-03
    40002 3154 Pages:593-620
  • Efficient and Accurate Numerical Solutions for Helmholtz Equation in Polar and Spherical Coordinates

    Kun Wang, Yau Shu Wong, Jian Deng
    2018-04-02
    37822 3244 Pages:779-807
  • High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

    Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen
    2020-07-30
    40942 3009 Pages:317-336
  • Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

    Yan Xu, Chi-Wang Shu
    2011-10-01
    37405 4017 Pages:474-508
  • Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme

    J. Wu, C. Shu
    2010-07-01
    40726 4230 Pages:793-812
  • Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

    Yan Xu, Chi-Wang Shu
    2010-07-01
    42193 4835 Pages:1-46 Open-access
  • A Physics-Wise Splitting Preconditioner with Selective Relaxation for the Multi-Group Radiation Diffusion Equations in Three Dimensions

    Xiaoqiang Yue, Junbai Hou, Long Yuan, Xiaowen Xu, Shi Shu
    2025-08-08
    4604 439 Pages:467-490
  • A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow

    Xiaolu Gu, Juan Cheng, Chi-Wang Shu
    2023-12-11
    33141 2763 Pages:1177-1214
  • The Simplified Lattice Boltzmann Method on Non-Uniform Meshes

    Zhen Chen, Chang Shu, Danielle S. Tan
    2020-07-31
    52058 3280 Pages:1131-1149
  • Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions

    Xiaoqiang Yue, Jianmeng He, Xiaowen Xu, Shi Shu, Libo Wang
    2022-09-29
    41759 3318 Pages:829-849
  • Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2022-08-11
    303057 3342 Pages:364-400
  • Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

    Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue
    2021-08-10
    47652 3220 Pages:1185-1215
  • Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

    Shu-Cun Li, Huazhong Tang
    2021-08-10
    47747 3110 Pages:1150-1184
  • Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

    Qian Zhang, Yan Xu, Chi-Wang Shu
    2021-05-25
    50935 3286 Pages:321-356
  • High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

    Jun Zhu, Chi-Wang Shu, Jianxian Qiu
    2021-02-25
    45794 3305 Pages:1030-1058
  • Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations

    Xiaoqiang Yue, Shulei Zhang, Xiaowen Xu, Shi Shu, Weidong Shi
    2021-01-13
    45963 3255 Pages:831-852
  • Magnetic Deformation Theory of a Vesicle

    Yao-Gen Shu, Zhong-Can Ou-Yang
    2020-08-27
    49592 3169 Pages:1352-1365
  • 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
    47300 3348 Pages:1530-1574
  • Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

    Xiaobing Feng, Hailiang Liu, Shu Ma
    2019-08-27
    49089 3543 Pages:1365-1396
  • Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

    Yong Liu, Qingyuan Liu, Yuan Liu, Chi-Wang Shu, Mengping Zhang
    2019-04-28
    48698 3348 Pages:631-653
  • Asymptotic Results of Schwarz Waveform Relaxation Algorithm for Time Fractional Cable Equations

    Shu-Lin Wu, Chengming Huang
    2018-10-11
    44473 3473 Pages:390-415
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