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  • Localized Exponential Time Differencing Method for Shallow Water Equations: Algorithms and Numerical Study

    Xucheng Meng, Thi-Thao-Phuong Hoang, Zhu Wang, Lili Ju
    2020-11-26
    47771 4467 Pages:80-110
  • A Scalable Numerical Method for Simulating Flows Around High-Speed Train Under Crosswind Conditions

    Zhengzheng Yan, Rongliang Chen, Yubo Zhao & Xiao-Chuan Cai
    2020-07-31
    41303 4065 Pages:944-958
  • Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

    Yong Zhang
    2013-05-05
    40965 4110 Pages:1357-1388
  • An Adaptive Finite Element PML Method for the Acoustic Scattering Problems in Layered Media

    Xue Jiang, Yu Qi & Jianhua Yuan
    2018-09-01
    46236 5489 Pages:266-288
  • A Numerical Method for Solving Elasticity Equations with Interfaces

    Songming Hou, Zhilin Li, Liqun Wang & Wei Wang
    2020-07-31
    38874 4149 Pages:595-612
  • 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
  • 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
  • A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

    Yingxia Xi, Xia Ji
    2020-07-21
    47228 3099 Pages:1105-1132
  • A GPU-Accelerated Hybridizable Discontinuous Galerkin Method for Linear Elasticity

    Maurice S. Fabien
    2019-12-07
    47103 4858 Pages:513-545 Open-access
  • A Spectrally Accurate Boundary Integral Method for Interfacial Velocities in Two-Dimensional Stokes Flow

    Xu Sun & Xiaofan Li
    2010-08-01
    39699 3982 Pages:933-946
  • Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

    Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia & Songhe Song
    2018-12-08
    49667 3533 Pages:1127-1143
  • Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation

    Peimeng Yin, Yunqing Huang & Hailiang Liu
    2018-07-03
    46224 4912 Pages:168-197
  • 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
  • New Finite-Volume Relaxation Methods for the Third-Order Differential Equations

    Fayssal Benkhaldoun & Mohammed Seaïd
    2008-04-01
    38647 4309 Pages:820-837
  • An Efficient Method for Estimating the Electromagnetic Wave Propagation in Three Dimensional Optical Waveguide Structures

    Yu Mao Wu, Xin Lou, Ya-Qiu Jin, Zhaoguo Hou, Lizhi Xiao, Ning Zou, Hai Jing Zhou, Yang Liu
    2020-06-05
    48695 3237 Pages:661-678
  • An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

    G. Beckett, J. A. Mackenzie & M. L. Robertson
    2006-01-01
    39366 3886 Pages:805-826
  • A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

    Xu Guo, Yutian Li & Hong Wang
    2018-09-17
    46956 3303 Pages:531-556
  • A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity

    W. M. Feng, P. Yu, S. Y. Hu, Z. K. Liu, Q. Du & L. Q. Chen
    2018-04-11
    42271 4203 Pages:582-599
  • A Semi-Lagrangian Deterministic Solver for the Semiconductor Boltzmann-Poisson System

    J. A. Carrillo, A. Majorana & F. Vecil
    2007-02-01
    37529 3976 Pages:1027-1054
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