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  • An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

    Ruo Li, Wei Zhong
    2022-02-09
    44846 3664 Pages:1-41
  • 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 Lagrangian Discontinuous Galerkin Scheme for the Compressible Euler Equations on Unstructured Triangular Meshes

    Xiaolong Zhao, Xijun Yu, Shicang Song, Shijun Zou, Fang Qing
    2024-12-11
    11509 1140 Pages:1074-1099
  • A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

    Tao Wang & Tiegang Liu
    2018-09-18
    44447 4820 Pages:312-330
  • Entirely Exponential-Type Scheme (E2S) for Optimization Problems with Singularly Perturbed ODE Constraints: The Model Problem

    Mengyu Li, Tiegang Liu, Kui Cao, Chengliang Feng, Bin Zhang, Weixiong Yuan
    2025-09-01
    4724 369 Pages:817-844
  • Maximum-Principle-Preserving High-Order Conservative Difference Schemes for Convection-Dominated Diffusion Equations

    Lele Liu, Hong Zhang, Xu Qian, Songhe Song
    2024-12-11
    12080 1221 Pages:855-881
  • A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model

    Juan Zhang, Lixiu Dong, Zhengru Zhang
    2024-08-30
    17364 1369 Pages:777-804
  • Energy Identities and Stability Analysis of the Yee Scheme for 3D Maxwell Equations

    Liping Gao, Xiaorui Sang, Rengang Shi
    2020-03-16
    45859 2862 Pages:788-813
  • Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

    Jie Ding, Xiang Ji, Ziheng Xu
    2025-09-01
    4714 361 Pages:703-732
  • Splitting ADI Scheme for Fractional Laplacian Wave Equations

    Tao Sun, Hai-Wei Sun
    2024-08-30
    17616 1406 Pages:697-726
  • A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

    R.K. Mohanty, Li Yuan, Divya Sharma
    2021-01-26
    45196 2614 Pages:488-507
  • An Improved Linearity-Preserving Cell-Centered Scheme for Nonlinear Diffusion Problems on General Meshes

    Cheng Dong, Tong Kang
    2021-01-26
    44633 2638 Pages:405-437
  • The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

    Jinye Shen, Xuping Wang, Zhi-zhong Sun
    2020-03-06
    45883 4294 Pages:253-280
  • 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 Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

    Hong Sun, Zhi-zhong Sun, Rui Du
    2019-10-12
    48632 2673 Pages:1168-1190
  • An Implicit Scheme for Solving Unsteady Boltzmann Model Equation

    Xiaowei Li, Chunxin Li, Dan Zhang, Zhihui Li
    2018-12-17
    42619 2837 Pages:594-606
  • Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates

    Guang-Hua Gao, Biao Ge, Zhi-Zhong Sun
    2023-08-29
    28774 2570 Pages:634-667
  • Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

    Cui-Cui Ji, Weizhong Dai
    2023-04-10
    40530 9016436 Pages:511-540
  • A Structure-Preserving JKO Scheme for the Size-Modified Poisson-Nernst-Planck-Cahn-Hilliard Equations

    Jie Ding, Xiang Ji
    2023-01-13
    33538 3125 Pages:204-229
  • Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System

    Shasha Bian, Yue Cheng, Boling Guo, Tingchun Wang
    2023-01-13
    34778 3174 Pages:140-164
  • Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations

    Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun
    2022-02-09
    44329 3474 Pages:200-226
  • Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces

    Yongho Choi, Yibao Li, Chaeyoung Lee, Hyundong Kim, Junseok Kim
    2021-06-02
    47230 2736 Pages:797-810
  • A Multistep Scheme for Decoupled Forward-Backward Stochastic Differential Equations

    Weidong Zhao, Wei Zhang & Lili Ju
    2016-09-01
    39299 2738 Pages:262-288
  • Richardson Extrapolation of the Euler Scheme for Backward Stochastic Differential Equations

    Yafei Xu, Weidong Zhao
    2024-05-11
    21130 1722 Pages:463-493
  • An Accurate Numerical Scheme for Mean-Field Forward and Backward SDEs with Jumps

    Yabing Sun, Jie Yang, Weidong Zhao
    2024-02-26
    23597 2163 Pages:243-274
  • A Second-Order Semi-Implicit Method for the Inertial Landau-Lifshitz-Gilbert Equation

    Panchi Li, Lei Yang, Jin Lan, Rui Du, Jingrun Chen
    2023-01-13
    38348 3196 Pages:182-203
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