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  • Extension of the ENO-ET Reconstruction Scheme to Two Space Dimensions on Cartesian Meshes in Conjunction with the ADER Approach

    Gino I. Montecinos, Eleuterio F. Toro
    2023-06-12
    35514 2726 Pages:759-790
  • A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations

    Sadia Arshad, Dumitru Baleanu, Jianfei Huang, Yifa Tang, Yue Zhao
    2021-09-02
    43139 3319 Pages:764-781
  • A High-Order Difference Scheme for the Generalized Cattaneo Equation

    Seak-Weng Vong, Hong-Kui Pang, Xiao-Qing Jin
    2018-02-09
    38000 4639 Pages:170-184
  • A Hybrid Neural-Network and MAC Scheme for Stokes Interface Problems

    Che-Chia Chang, Chen-Yang Dai, Wei-Fan Hu, Te-Sheng Lin, Ming-Chih Lai
    2024-06-13
    25567 2213 Pages:490-506
  • A Time Splitting Space Spectral Element Method for the Cahn-Hilliard Equation

    Lizhen Chen, Chuanju Xu
    2018-02-10
    37576 4561 Pages:333-351
  • Convergence Rates of Split-Step Theta Methods for SDEs with Non-Globally Lipschitz Diffusion Coefficients

    Xiaojuan Wu, Siqing Gan
    2023-01-04
    41252 4145 Pages:59-75
  • Comparative Study of Space Iteration Methods Based on Nonconforming Finite Element for Stationary Navier-Stokes Equations

    Jiawei Gao, Jian Li
    2022-04-06
    49971 3435 Pages:628-648
  • A Finite Difference Method for Boundary Value Problems of a Caputo Fractional Differential Equation

    Pin Lyu, Seakweng Vong, Zhibo Wang
    2021-07-02
    37277 3439 Pages:752-766
  • Efficient and Stable Numerical Methods for Multi-Term Time Fractional Sub-Diffusion Equations

    Jincheng Ren, Zhi-Zhong Sun
    2018-02-09
    38252 4194 Pages:242-266
  • $H^1$-Stability and Convergence of the FE, FV and FD Methods for an Elliptic Equation

    Yinnian He & Xinlong Feng
    2018-02-09
    40764 4344 Pages:154-170
  • Numerical Methods for the Nonlinear Dirac Equation in the Massless Nonrelativistic Regime

    Ying He, Yan Wang, Jerry Zhijian Yang, Hongshuang Yin
    2024-01-02
    28158 2798 Pages:79-103
  • Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains

    Yunchu Wang, Li Yuan
    2021-08-03
    44567 3100 Pages:708-731
  • A Second Order Numerical Scheme for Fractional Option Pricing Models

    Ling-Xi Zhang, Ren-Feng Peng, Jun-Feng Yin
    2021-02-23
    43839 3196 Pages:326-348
  • Two-Grid Finite Element Methods of Crank-Nicolson Galerkin Approximation for a Nonlinear Parabolic Equation

    Zhijun Tan, Kang Li, Yanping Chen
    2020-08-15
    48459 3172 Pages:800-817
  • A Second-Order Accurate Implicit Difference Scheme for Time Fractional Reaction-Diffusion Equation with Variable Coefficients and Time Drift Term

    Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu, Xi-Le Zhao
    2019-10-09
    41264 3281 Pages:723-754
  • Energy Stable Splitting Schemes for Maxwell’s Equations in Lorentz Media

    Puttha Sakkaplangkul
    2025-05-19
    8284 205 Pages:45-71
  • A Fast Temporal Second-Order Compact ADI Scheme for Time Fractional Mixed Diffusion-Wave Equations

    Rui-Lian Du, Zhi-Zhong Sun
    2021-08-03
    46754 3274 Pages:647-673
  • An Energy Stable Second-Order Accurate Scheme for Microphase Separation of Periodic Diblock Copolymers

    Junxiang Yang, Junseok Kim
    2021-02-23
    44131 509360 Pages:234-254
  • Regularised Finite Difference Methods for the Logarithmic Klein-Gordon Equation

    Jingye Yan, Hong Zhang, Xu Qian, Songhe Song
    2020-11-24
    45576 4747 Pages:119-142
  • SOR-Like Iteration Methods for Second-Order Cone Linear Complementarity Problems

    Zhizhi Li, Yifen Ke, Huai Zhang, Risheng Chu
    2020-04-01
    42891 3166 Pages:295-315
  • Crank-Nicolson ADI Finite Difference Method for Three-Dimensional Nonlinear Partial Integro-Differential Equations with Weak Singular Kernels

    Yanping Chen, Ruru Wang, Leijie Qiao
    2025-06-18
    7115 564 Pages:867-889
  • Optimal Convergence Rates in Time-Fractional Discretisations: The ${\rm L1}$, $\overline{{\rm L1}}$ and Alikhanov Schemes

    Yongtao Zhou, Martin Stynes
    2022-04-06
    52212 3511 Pages:503-520
  • Numerical Simulations of Stochastic Differential Equations with Multiple Conserved Quantities by Conservative Methods

    Zhenyu Wang, Qiang Ma, Xiaohua Ding
    2021-10-25
    52781 4456 Pages:53-71
  • Conservative Numerical Schemes for the Nonlinear Fractional Schrödinger Equation

    Longbin Wu, Qiang Ma, Xiaohua Ding
    2021-05-26
    45665 3168 Pages:560-579
  • ADMM-Based Methods for Nearness Skew-Symmetric and Symmetric Solutions of Matrix Equation $AXB = C$

    Dongmei Yu, Cairong Chen, Deren Han
    2020-08-15
    50025 3254 Pages:698-716
  • Pricing American Options under Regime-Switching Model with a Crank-Nicolson Fitted Finite Volume Method

    Xiaoting Gan, Junfeng Yin
    2020-06-12
    43807 3314 Pages:499-519
  • Optimal Error Estimates for a Fully Discrete Euler Scheme for Decoupled Forward Backward Stochastic Differential Equations

    Bo Gong, Weidong Zhao
    2018-03-19
    37173 3192 Pages:548-565
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