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  • A New Approximate Method to Mean Field Stochastic Differential Equation with One-Sided Lipschitz Drift Coefficient

    Jinhui Zhou, Yongkui Zou, Boyu Wang
    2025-11-28
    899 44 Pages:615-634
  • A $p$-Adaptive Treecode Solution of the Poisson Equation in the General Domain

    Zixuan Cui, Lei Yang
    2025-09-18
    4099 291 Pages:1331-1354
  • 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
    186 51 Pages:1339-1377
  • Error Estimates of Some Numerical Atomic Orbitals in Molecular Simulations

    Huajie Chen & Reinhold Schneider
    2018-04-03
    41966 4569 Pages:125-146
  • 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
  • An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative

    Li Zhou, Yunzhang Li
    2022-01-27
    43484 3252 Pages:516-547
  • An Efficient Finite Element Method with Exponential Mesh Refinement for the Solution of the Allen-Cahn Equation in Non-Convex Polygons

    Emine Celiker, Ping Lin
    2020-08-27
    47626 2950 Pages:1536-1560
  • Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units

    Bo Li, Shanshan Tang, Haijun Yu
    2019-12-07
    51684 3375 Pages:379-411
  • Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

    Dianming Hou, Mejdi Azaïez, Chuanju Xu
    2019-08-27
    53989 3634 Pages:1415-1443
  • 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
  • Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained

    Haifeng Niu, Danping Yang & Jianwei Zhou
    2018-09-17
    45051 3624 Pages:1477-1502
  • Optimal Error Estimation of the Modified Ghost Fluid Method

    Liang Xu & Tiegang Liu
    2010-08-01
    38615 3911 Pages:403-426
  • Non-Iterative Parallel Schwarz Domain Decomposition Algorithms for a Two-Domain Parabolic Problem

    Minjie Shen, Danping Yang, Haibiao Zheng
    2025-09-18
    4090 258 Pages:1552-1584
  • A Splitting Method for Nonlinear Filtering Problems with Diffusive and Point Process Observations

    Fengshan Zhang, Yongkui Zou, Shimin Chai, Yanzhao Cao
    2024-10-29
    142 57 Pages:996-1020
  • 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
  • Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

    Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu
    2020-07-30
    41684 3071 Pages:458-486
  • Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

    Qi Sun, Xuejun Xu, Haotian Yi
    2025-07-11
    5086 463 Pages:248-284
  • Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

    Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao
    2024-06-14
    28269 1947 Pages:1263-1286
  • Superconvergence Analysis of $C^m$ Finite Element Methods for Fourth-Order Elliptic Equations I: One Dimensional Case

    Waixiang Cao, Lueling Jia, Zhimin Zhang
    2023-06-06
    37390 2905 Pages:1466-1508
  • The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

    Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura
    2023-04-28
    32547 3098 Pages:733-763 Open-access
  • Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition

    Mingze Qin, Ruishu Wang, Qilong Zhai, Ran Zhang
    2023-03-13
    38969 3296 Pages:568-595
  • A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

    Jianguo Huang, Yue Yu
    2021-08-10
    46892 3055 Pages:1009-1036
  • A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems

    Huangxin Chen, Jingzhi Li, Weifeng Qiu, Chao Wang
    2021-02-25
    45648 3385 Pages:1125-1151
  • Deep Network Approximation Characterized by Number of Neurons

    Zuowei Shen, Haizhao Yang, Shijun Zhang
    2020-11-18
    68719 3581 Pages:1768-1811
  • $H^2$-Conforming Methods and Two-Grid Discretizations for the Elastic Transmission Eigenvalue Problem

    Yidu Yang, Jiayu Han, Hai Bi
    2020-08-27
    49404 3189 Pages:1366-1388
  • Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC)

    Chengliang Feng, Tiegang Liu, Liang Xu, Changsheng Yu
    2020-06-05
    49562 3388 Pages:621-660
  • Higher-Order Rytov Approximation for Large-Scale and Strong Perturbation Media

    Bo Feng, Ru-Shan Wu, Huazhong Wang
    2020-06-05
    52177 4765 Pages:98-110
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