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  • Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

    Wei Zhang, Jiang Yang, Jiwei Zhang & Qiang Du
    2018-04-08
    42189 4855 Pages:16-39 Open-access
  • High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

    Liang Wu, Yong-Tao Zhang, Shuhai Zhang & Chi-Wang Shu
    2018-04-04
    40482 3195 Pages:835-869
  • An Improved Second-Order Finite-Volume Algorithm for Detached-Eddy Simulation Based on Hybrid Grids

    Yang Zhang, Laiping Zhang, Xin He & Xiaogang Deng
    2018-04-04
    40092 3162 Pages:459-485
  • Effects of Reynolds and Prandtl Numbers on Heat Transfer Around a Circular Cylinder by the Simplified Thermal Lattice Boltzmann Model

    Qing Chen, Xiaobing Zhang & Junfeng Zhang
    2018-04-02
    39173 3066 Pages:937-959
  • Finding Critical Nuclei in Phase Transformations by Shrinking Dimer Dynamics and Its Variants

    Lei Zhang, Jingyan Zhang & Qiang Du
    2014-12-08
    39993 4101 Pages:781-798
  • 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
    40538 4823 Pages:1081-1102 Open-access
  • Numerical Simulations of Hydrodynamics of Nematic Liquid Crystals: Effects of Kinematic Transports

    Shupeng Zhang, Chun Liu & Hui Zhang
    2011-09-01
    38880 3964 Pages:974-993
  • On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes

    Rui Zhang, Mengping Zhang & Chi-Wang Shu
    2011-03-05
    39890 4279 Pages:807-827
  • Local Discontinuous Galerkin Method for Nonlinear BSPDEs of Neumann Boundary Conditions with Deep Backward Dynamic Programming Time-Marching

    Yixiang Dai, Yunzhang Li, Jing Zhang
    2026-01-18
    237 46 Pages:1299-1331
  • Scale-Decomposed Physics-Informed Neural Networks for Singular Perturbation Problems

    Lei Zhang, Guowei He
    2026-01-18
    368 76 Pages:1267-1298
  • Solving Multi-Group Neutron Diffusion Eigenvalue Problem with Decoupling Residual Loss Function

    Shupei Yu, Qiaolin He, Shiquan Zhang, Qihong Yang, Yu Yang, Helin Gong
    2026-01-18
    227 42 Pages:1231-1266
  • High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

    Yupeng Ren, Zhimin Zhang
    2026-01-18
    276 80 Pages:1059-1102
  • Structure-Preserving SAV-RK$s$ Spectral Methods for Nonlinear Hamiltonian System

    Jie Shen, Lianpeng Xue, Qifeng Zhang
    2026-01-03
    1767 120 Pages:661-695
  • Uncertainty Quantification of Phase Transition Problems with an Injection Boundary

    Zhenyi Zhang, Shengbo Ma, Zhennan Zhou
    2026-02-15
    3771 87 Pages:578-614
  • A Unifying Moving Mesh Method for Curves, Surfaces, and Domains Based on Mesh Equidistribution and Alignment

    Min Zhang, Weizhang Huang
    2026-02-15
    3749 100 Pages:513-552
  • An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

    Xiaolan Chen, Yongjun Yuan, Yong Zhang
    2026-01-15
    2956 188 Pages:119-146
  • Vortex Spline Method for Two-Dimensional Rayleigh-Taylor Interfaces Between Inviscid and Perfect Dielectric Fluids with External Electric Fields

    Wenxuan Guo, Qiang Zhang
    2026-01-15
    2936 156 Pages:78-118
  • Generalized Lagrangian Neural Networks

    Shanshan Xiao, Jiawei Zhang, Yifa Tang
    2026-01-15
    3054 284 Pages:59-77
  • Adaptive Basis-Inspired Deep Neural Network for Solving Partial Differential Equations with Localized Features

    Ke Li, Yaqin Zhang, Yunqing Huang, Chenyue Xie, Xueshuang Xiang
    2025-09-18
    4374 321 Pages:1453-1497
  • 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
  • Efficient Implementation of 3D FEM for Nonlocal Poisson Problem with Different Ball Approximation Strategies

    Gengjian Chen, Yuheng Ma, Jiwei Zhang
    2024-12-02
    15454 1102 Pages:1378-1410
  • 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
  • A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

    Xinyu Liu, Jie Shen, Xiangxiong Zhang
    2024-12-02
    16999 1355 Pages:1157-1185
  • A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations

    Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao
    2024-10-29
    17875 1149 Pages:996-1020
  • A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flow Model with Beavers-Joseph Interface Conditions

    Zheng Li, Feng Shi, Yizhong Sun, Yuhong Zhang, Haibiao Zheng
    2024-09-06
    19418 1538 Pages:551-580
  • An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

    Ruigang Shen, Qianru Zhang, Benzhuo Lu
    2024-09-06
    19661 1568 Pages:521-550
  • AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold

    Haifeng Zou, Xiaowen Xu, Chen-Song Zhang, Zeyao Mo
    2024-07-29
    24538 1767 Pages:200-220
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