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  • 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
  • Richardson Extrapolation of the Euler Scheme for Backward Stochastic Differential Equations

    Yafei Xu, Weidong Zhao
    2024-05-11
    21130 1722 Pages:463-493
  • A Novel Iterative Method to Find the Moore-Penrose Inverse of a Tensor with Einstein Product

    Raziyeh Erfanifar, Masoud Hajarian, Khosro Sayevand
    2024-02-26
    27271 2445 Pages:37-68
  • ODE-Based Multistep Schemes for Backward Stochastic Differential Equations

    Shuixin Fang, Weidong Zhao
    2023-11-07
    28237 2375 Pages:1053-1086
  • Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation

    Xu Qian, Hong Zhang, Jingye Yan, Songhe Song
    2023-11-07
    27969 2339 Pages:993-1012
  • The MFE-CFE-GFE Method for the Fully Coupled Quasi-Static Thermo-Poroelastic Problem

    Jing Zhang, Hongxing Rui
    2023-08-29
    28322 2349 Pages:792-819
  • Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations

    Wanqiu Yuan, Dongfang Li, Chengjian Zhang
    2023-04-10
    39346 2938 Pages:348-369
  • A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels

    Chao Zhang, Guoqing Yao, Sheng Chen
    2023-01-21
    36006 2916 Pages:1041-1062
  • Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations

    Xuejuan Chen, Zhiping Mao, George Em Karniadakis
    2023-01-21
    37448 2941 Pages:876-902
  • A Hybrid Scheme of Level Set and Diffuse Interface Methods for Simulating Multi-Phase Compressible Flows

    Meiyan Fu, Tiao Lu
    2022-07-19
    39302 2836 Pages:715-743
  • Dual Control Methods for a Mixed Control Problem with Optimal Stopping Arising in Optimal Consumption and Investment

    Jingtang Ma, Jie Xing, Shan Yang
    2022-07-19
    39706 2969 Pages:641-661
  • A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu
    2022-03-23
    55566 3335 Pages:279-303
  • A General Cavitation Model for the Highly Nonlinear Mie-Grüneisen Equation of State

    Meiyan Fu, Tiao Lu
    2021-09-10
    45210 2526 Pages:1110-1135
  • Strong Convergence of a Fully Discrete Scheme for Multiplicative Noise Driving SPDEs with Non-Globally Lipschitz Continuous Coefficients

    Xu Yang, Weidong Zhao
    2021-09-10
    45613 2722 Pages:1085-1109
  • Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

    Róisín Hill, Niall Madden
    2021-06-02
    61053 3217 Pages:559-588
  • A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

    Dongfang Li, Weiwei Sun, Chengda Wu
    2021-01-26
    48296 2799 Pages:355-376
  • A 2D Staggered Multi-Material ALE Code Using MOF Interface Reconstruction

    Yibing Chen, Junxia Cheng, Liang Pan, Haihua Yang, Heng Yong, Xin Yu
    2020-10-09
    47455 3687 Pages:219-241
  • Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects

    P.-W. Martelli, S.M. Mefire
    2020-10-09
    46243 4077 Pages:113-143
  • Effect of Flux Evaluation Methods on the Resolution and Robustness of the Two-Step Finite-Difference WENO Scheme

    T. Kamiya, M. Asahara, T. Nonomura
    2020-12-02
    46791 2800 Pages:1068-1097
  • 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
  • A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes

    Shuai Su, Jiming Wu
    2020-03-06
    42666 4106 Pages:220-252
  • A High Order Operator Splitting Method for the Degasperis–Procesi Equation

    Yunrui Guo, Hong Zhang, Wenjing Yang, Ji Wang & Songhe Song
    2019-04-22
    43246 2679 Pages:884-905
  • An Asymptotic/Numerical Study for the Micropolar Fluid Asymmetric Flow in a Porous Channel with Orthogonally Moving Walls

    Hongxia Guo & Ping Lin
    2021-01-13
    41771 2759 Pages:752-769
  • Convergence and Stability Analysis of Exponential General Linear Methods for Delay Differential Equations

    Jingjun Zhao, Yu Li & Yang Xu
    2018-09-17
    40411 2783 Pages:354-382
  • A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers' Equations

    Buyun Chen, Dongdong He & Kejia Pan
    2018-09-17
    42110 2841 Pages:299-320
  • Local Convergence for a Fifth Order Traub-Steffensen-Chebyshev-Like Composition Free of Derivatives in Banach Space

    Ioannis K. Argyros & Santhosh George
    2018-09-17
    41711 4142 Pages:160-168
  • Finite Element and Discontinuous Galerkin Methods with Perfect Matched Layers for American Options

    Haiming Song, Kai Zhang & Yutian Li
    2017-11-02
    39394 2682 Pages:829-851
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