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  • A New Fourth-Order Compact Off-Step Discretization for the System of 2D Nonlinear Elliptic Partial Differential Equations

    R. K. Mohanty & Nikita Setia
    2018-02-09
    37339 4709 Pages:59-82
  • A Fully Decoupled Linear Second-Order Energy Stable Numerical Scheme for the Moving Contact Line Problem

    Min Gao, Yi Shi
    2025-11-14
    1787 48 Pages:365-387
  • A Generalized Quasi-Boundary Value Method for an Inverse Source Problem in a Distributed Order Time-Fractional Diffusion Equation

    Wenjie Wu, Ting Wei
    2025-06-18
    6820 505 Pages:835-866
  • An HOC Finite Difference Scheme for the Steady Natural Convection Problem Based on the Velocity-Vorticity Method

    Tao Wang, Tiegang Liu, Kun Wang
    2025-06-06
    5182 439 Pages:591-614
  • 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
    25345 2140 Pages:490-506
  • Second-Order Difference Equation for Sobolev-Type Orthogonal Polynomials. Part II: Computational Tools

    Galina Filipuk, Juan F. Mañas-Mañas, Juan J. Moreno-Balcázar
    2023-10-23
    26980 2462 Pages:960-979
  • Arbitrary High-Order Structure-Preserving Schemes for Generalized Rosenau-Type Equations

    Chaolong Jiang, Xu Qian, Songhe Song, Chenxuan Zheng
    2023-10-23
    26639 2426 Pages:935-959
  • An Adaptive Non-Intrusive Multi-Fidelity Reduced Basis Method for Parameterized Partial Differential Equations

    Yuanhong Chen, Xiang Sun, Yifan Lin, Zhen Gao
    2023-04-25
    29672 2719 Pages:398-419
  • Inverse Scattering Method for Constructing Multisoliton Solutions of Higher-Order Nonlinear Schrödinger Equations

    Xiu-Bin Wang, Shou-Fu Tian
    2023-04-25
    31255 2983 Pages:213-229
  • Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation

    Wensheng Zhang, Atish Kumar Joardar
    2022-08-17
    301497 3455 Pages:891-911
  • Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: Weak Galerkin Method

    Xiu Ye, Shangyou Zhang
    2022-04-06
    49807 3373 Pages:590-598
  • A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations

    Wenping Yuan, Yanping Chen, Yunqing Huang
    2020-08-15
    50379 3149 Pages:818-837
  • An Efficient Newton Multiscale Multigrid Method for 2D Semilinear Poisson Equations

    Ming Li, Zhoushun Zheng, Kejia Pan, Xiaoqiang Yue
    2020-06-12
    42717 3077 Pages:620-634
  • A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates

    Guang-Hua Gao, Rui Liu
    2019-10-09
    40294 3155 Pages:703-722
  • Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations

    Jianfei Huang, Sadia Arshad, Yandong Jiao & YifaTang
    2019-06-03
    42062 2968 Pages:538-557
  • Nodal-Type Newton-Cotes Rules for Fractional Hypersingular Integrals

    Yan Gao, Hui Feng, Hao Tian, Lili Ju & Xiaoping Zhang
    2021-09-02
    42032 3345 Pages:697-714
  • Higher-Order Rogue Wave and Rational Soliton Solutions of Discrete Complex mKdV Equations

    Xiao-Yong Wen
    2018-09-17
    40776 4802 Pages:100-125
  • Admissible Regions for Higher-Order Finite Volume Method Grids

    Yuanyuan Zhang & Zhongying Chen
    2018-03-19
    36660 3134 Pages:269-285
  • High Order Difference Schemes for a Time Fractional Differential Equation with Neumann Boundary Conditions

    Seakweng Vong & Zhibo Wang
    2018-02-09
    38665 4476 Pages:222-241
  • A Time Splitting Space Spectral Element Method for the Cahn-Hilliard Equation

    Lizhen Chen & Chuanju Xu
    2018-02-10
    37396 4499 Pages:333-351
  • Energy Stable Splitting Schemes for Maxwell’s Equations in Lorentz Media

    Puttha Sakkaplangkul
    2025-05-19
    7259 76 Pages:45-71
  • Local Structure Preserving Algorithms for Molecular Beam Epitaxial Models with Slope Selection Based on Energy Quadratization Method

    Lin Lu, Yongzhong Song, Yushun Wang
    2025-06-18
    6770 493 Pages:817-834
  • Pointwise Error Estimates of $L1$ Method for Multi-Singularity Problems Arising in Delay Fractional Equations

    Dakang Cen, Hui Liang, Seakweng Vong
    2024-09-27
    14244 1240 Pages:820-840
  • 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
    35300 2650 Pages:759-790
  • Adaptive High-Order A-WENO Schemes Based on a New Local Smoothness Indicator

    Alina Chertock, Shaoshuai Chu, Alexander Kurganov
    2023-06-12
    36273 2765 Pages:576-609
  • High-Order Spectral Difference Gas-Kinetic Schemes for Euler and Navier-Stokes Equations

    Qing Xie, Xing Ji, Zihua Qiu, Chunlei Liang, Kun Xu
    2023-06-12
    46247 3193 Pages:499-523
  • A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations

    Shan Li, Guilei Sun, Yuling Guo & Zhongqing Wang
    2022-04-06
    49764 3217 Pages:649-672
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