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  • A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

    Kaixin Wang, Hong Wang, Mohamed Al-Lawatia & Hongxing Rui
    2009-06-01
    124 89 Pages:203-230
  • Lattice Poisson-Boltzmann Simulations of Electroosmotic Flows in Charged Anisotropic Porous Media

    M. Wang, N. Pan, J. K. Wang & S. Y. Chen
    2007-02-01
    38520 4163 Pages:1055-1070
  • A Locally Mass-Conservative Enriched Petrov-Galerkin Method Without Penalty for the Darcy Flow in Porous Media

    Huangxin Chen, Piaopiao Dong, Shuyu Sun, Zixuan Wang
    2026-01-18
    215 48 Pages:1199-1230
  • Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations II: A CNNs-Based Automatic Implementation

    Jingfeng Wang, Guanghui Hu
    2026-01-03
    1687 47 Pages:884-918
  • Enhanced Second-Order Gauss-Seidel Projection Methods for the Landau-Lifshitz Equation

    Panchi Li, Xiao-Ping Wang
    2026-01-03
    1695 79 Pages:799-814
  • A Highly Efficient CN-Like Scheme for the Transient Wigner Equation

    Yidan Wang, Haiyan Jiang, Tiao Lu, Wenqi Yao
    2026-01-03
    1689 60 Pages:775-798
  • A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient

    Jinhui Zhou, Yongkui Zou, Boyu Wang
    2026-02-15
    3789 152 Pages:615-634
  • RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit

    Weihang Gao, Teng Zhao, Yongfa Guo, Jiuyang Liang, Huan Liu, Maoying Luo, Zedong Luo, Wei Qin, Yichao Wang, Qi Zhou, Shi Jin, Zhenli Xu
    2026-01-15
    3181 224 Pages:296-322
  • First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

    Hao-Chen Wang, Meilin Yu, Heng Xiao
    2026-01-15
    3075 275 Pages:1-28
  • The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang
    2025-09-18
    4378 312 Pages:1417-1452
  • A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

    Xiaohan Zhu, Yuezheng Gong, Yushun Wang
    2025-09-05
    3601 327 Pages:1210-1236
  • High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes

    Lintao Huang, Wenhua Ma, Shuaikang Wang, Yibing Chen
    2025-09-05
    3752 371 Pages:1089-1129
  • An Improved Modified Ghost Fluid Method for Compressible Multi-Medium Fluid Flows

    Xiaotao Zhang, Chengliang Feng, Changsheng Yu, Yibo Wang, Tiegang Liu
    2024-12-02
    15524 1175 Pages:1339-1377
  • An Explicit Multi-Time Stepping Algorithm for Multi-Time Scale Coupling Problems in SPH

    Xiaojing Tang, Dong Wu, Zhentong Wang, Oskar Haidn, Xiangyu Hu
    2024-12-02
    16166 1104 Pages:1219-1261
  • A Genuinely Two-Dimensional Approximate Riemann Solver with Stress Continuity for Hypo-Elastic Solids

    Zhiqiang Zeng, Kui Cao, Chengliang Feng, Yibo Wang, Tiegang Liu
    2024-10-29
    17958 1179 Pages:1113-1155
  • Loss Jump During Loss Switch in Solving PDEs with Neural Networks

    Zhiwei Wang, Lulu Zhang, Zhongwang Zhang, Zhi-Qin John Xu
    2024-10-29
    17403 1163 Pages:1090-1112
  • Modelling of Compressible Multi-Component Two-Phase Flow with Multi-Component Navier Boundary Condition

    Junkai Wang, Qiaolin He
    2024-10-29
    17515 1169 Pages:1053-1089
  • MHDnet: Physics-Preserving Learning for Solving Magnetohydrodynamics Problems

    Xiaofei Guan, Boya Hu, Shipeng Mao, Xintong Wang, Zihao Yang
    2024-10-29
    21671 1212 Pages:943-976
  • Derivative-Based Finite-Volume MR-HWENO Scheme for Steady-State Problems

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2024-10-29
    21846 1189 Pages:877-907
  • High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

    Zhen Gao, Shuang Guo, Bao-Shan Wang, Yaguang Gu
    2024-10-09
    15620 1216 Pages:781-820
  • Fast Implementation of FEM for Integral Fractional Laplacian on Rectangular Meshes

    Changtao Sheng, Li-Lian Wang, Hongbin Chen, Huiyuan Li
    2024-10-09
    15275 1209 Pages:673-710
  • Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics

    Geshuo Wang, Zhenning Cai
    2024-09-06
    23694 1530 Pages:389-418
  • AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations

    Zhenning Cai, Yun Chen, Yana Di, Guanghui Hu, Ruo Li, Wenbin Liu, Heyu Wang, Fanyi Yang, Chengbao Yao, Hongfei Zhan
    2024-07-29
    25222 2125 Pages:274-318
  • 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
    27986 1964 Pages:1-29
  • A GPU-Accelerated Cartesian Grid Method for PDEs on Irregular Domain

    Liwei Tan, Minsheng Huang, Shuai Zhu, Pan Wang, Wenjun Ying
    2025-05-29
    8936 544 Pages:1250-1276
  • An Arbitrary Order Mixed Finite Element Method with Boundary Value Correction for the Darcy Flow on Curved Domains

    Yongli Hou, Yanqiu Wang
    2025-05-29
    8873 545 Pages:1227-1249
  • A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case

    Xiaoteng Zhang, Xun Wang, Zhijun Shen, Chao Yang
    2025-04-27
    9260 555 Pages:1120-1156
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