Search Results

• Derivative-Based Finite-Volume MR-HWENO Scheme for Steady-State Problems

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2024-10-29

  138 59 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

  154 113 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

  375 83 Pages:643-674

• ADI-FDTD Method for Two-Dimensional Transient Electromagnetic Problems

  Wanshan Li, Yile Zhang, Yau Shu Wong & Dong Liang

  2018-04-03

  40384 4793 Pages:94-123

• An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

  Xiaoqiang Yue, Shi Shu, Xiaowen Xu & Zhiyang Zhou

  2020-07-30

  39998 3316 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

  39875 3120 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

  37711 3179 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

  40849 2971 Pages:317-336

• Local Discontinuous Galerkin Methods for the Degasperis-Procesi Equation

  Yan Xu & Chi-Wang Shu

  2011-10-01

  37307 3978 Pages:474-508

• Particulate Flow Simulation via a Boundary Condition-Enforced Immersed Boundary-Lattice Boltzmann Scheme

  J. Wu & C. Shu

  2010-07-01

  40513 4186 Pages:793-812

• Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

  Yan Xu & Chi-Wang Shu

  2010-07-01

  42047 4741 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

  4391 396 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

  32949 2710 Pages:1177-1214

• WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows

  You Li, Hai-Zhuan Yuan, Xiao-Dong Niu, Yu-Yue Yang & Shi Shu

  2020-07-31

  49869 3216 Pages:1012-1036

• Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2022-08-11

  302871 3313 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

  47490 3185 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

  47581 3080 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

  50735 3250 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

  45622 3272 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

  45791 3222 Pages:831-852

• Magnetic Deformation Theory of a Vesicle

  Yao-Gen Shu, Zhong-Can Ou-Yang

  2020-08-27

  49443 3129 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

  47125 3309 Pages:1530-1574

• Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schrödinger Equations

  Xiaobing Feng, Hailiang Liu, Shu Ma

  2019-08-27

  48935 3491 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

  48553 3302 Pages:631-653

• Asymptotic Results of Schwarz Waveform Relaxation Algorithm for Time Fractional Cable Equations

  Shu-Lin Wu & Chengming Huang

  2018-10-11

  44325 3412 Pages:390-415

• Fully-Coupled Multi-Physical Simulation with Physics-Based Nonlinearity-Elimination Preconditioned Inexact Newton Method for Enhanced Oil Recovery

  Huiying Tang, Shihao Wang, Congbin Yin, Yuan Di, Yu-Shu Wu & Yonghong Wang

  2018-09-01

  45916 5353 Pages:244-265

• The Simplified Lattice Boltzmann Method on Non-Uniform Meshes

  Zhen Chen, Chang Shu & Danielle S. Tan

  2020-07-31

  51866 3232 Pages:1131-1149