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Numerical Mathematics: Theory, Methods and Applications
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  • A Two-Step Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media

    Qiya Hu & Lin Zhao
    2018-09-17
    40884 2743 Pages:453-476
  • Fourth-Order Splitting Methods for Time-Dependant Differential Equations

    Jürgen Geiser
    2008-01-01
    39093 3489 Pages:321-339
  • A Stabilized Physics Informed Neural Networks Method for Wave Equations

    Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan
    2024-12-11
    11675 1310 Pages:1100-1127
  • Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise

    Yajing Li, Yejuan Wang, Weihua Deng, Daxin Nie
    2023-01-21
    36078 2886 Pages:1063-1098
  • Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings

    Zhe Jiao, Yaxu Li, Lijing Zhao
    2025-09-01
    4694 339 Pages:650-679
  • A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations

    Bin Wang, Xinyuan Wu, Yonglei Fang
    2020-03-16
    44089 2686 Pages:814-844
  • The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

    Long Yuan
    2018-12-17
    41402 2745 Pages:517-546
  • A Conservative Formulation and a Numerical Algorithm for the Double-Gyre Nonlinear Shallow-Water Model

    Dongyang Kuang & Long Lee
    2015-08-01
    38713 2683 Pages:634-650
  • New Sixth-Order Compact Schemes for Poisson/Helmholtz Equations

    Kejia Pan, Kang Fu, Jin Li, Hongling Hu, Zhilin Li
    2023-04-10
    38083 2894 Pages:393-409
  • A Finite Difference Scheme for Blow-Up Solutions of Nonlinear Wave Equations

    Chien-Hong Cho
    2010-03-01
    41983 4005 Pages:475-498
  • A Few Benchmark Test Cases for Higher-Order Euler Solvers

    Liang Pan, Jiequan Li & Kun Xu
    2017-11-02
    41287 4224 Pages:711-736 Open-access
  • Splitting ADI Scheme for Fractional Laplacian Wave Equations

    Tao Sun, Hai-Wei Sun
    2024-08-30
    17616 1406 Pages:697-726
  • Multidomain Hybrid Direct DG and Central Difference Methods for Viscous Terms in Hyperbolic-Parabolic Equations

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao, Kun Wang
    2024-02-26
    28458 2771 Pages:1-36
  • A Posteriori Error Analysis of a $P_2$-CDG Space-Time Finite Element Method for the Wave Equation

    Yuling Guo, Jianguo Huang
    2022-07-19
    38843 2974 Pages:662-678
  • A High Order Compact Scheme for a Thermal Wave Model of Bio-Heat Transfer with an Interface

    Suruchi Singh, Swarn Singh & Zhilin Li
    2018-09-17
    40238 2764 Pages:321-337
  • Absorbing Interface Conditions for the Simulation of Wave Propagation on Non-Uniform Meshes

    Changshi Li, Yuhui Liu, Fengru Wang, Jerry Zhijian Yang, Cheng Yuan
    2023-04-10
    37185 2665 Pages:433-452
  • Solving the Helmholtz Equation by Sparse Fundamental Solution Neural Network

    Zhiwen Wang, Minxin Chen, Jingrun Chen
    2025-10-22
    4056 297 Pages:845-880
  • Analysis of Direct and Inverse Cavity Scattering Problems

    Gang Bao, Jinglu Gao & Peijun Li
    2011-04-01
    39721 3638 Pages:335-358
  • Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials

    Shanghui Jia, Changhui Yao & Shuai Su
    2018-09-17
    42921 4792 Pages:30-48
  • An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

    Ruo Li, Wei Zhong
    2022-02-09
    44846 3664 Pages:1-41
  • Green Function Method for Quantum Transport Based on the Generalized Fourier Transform

    Haiyan Jiang, Xingming Gao, Yueguang Hu, Tiao Lu
    2023-08-29
    28740 2511 Pages:701-719
  • Lattice Boltzmann Method for Simulating Phase Separation of Sheared Binary Fluids with Reversible Chemical Reaction

    Xiaoyu Wang, Jie Ouyang, Heng Yang & Jianwei Liu
    2017-10-01
    38305 2587 Pages:656-670
1 - 22 of 22 items
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