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Advances in Applied Mathematics and Mechanics
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  • A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

    Jialing Wang, Tingchun Wang, Yushun Wang
    2023-02-24
    38118 3194 Pages:786-813
  • Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

    Weishan Zheng, Yanping Chen, Yunqing Huang
    2019-01-11
    43871 3106 Pages:486-500
  • Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions

    Yunxia Wei, Yanping Chen
    2012-04-01
    42689 4632 Pages:1-20
  • Spectral Scheme for Nonlinear Volterra Integro-Differential Equation

    Weishan Zheng, Yanping Chen, Jianwei Zhou
    2025-07-19
    7586 477 Pages:1395-1410
  • A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

    Weishan Zheng, Yanping Chen
    2013-05-01
    41644 4167 Pages:131-145
  • Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

    Kolade M. Owolabi, Abdon Atangana
    2021-07-01
    42738 3879 Pages:1438-1460
  • Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint

    Liang Ge, Haifeng Niu, Jianwei Zhou
    2021-11-18
    49789 4381 Pages:33-55
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    118609 5935 Pages:1318-1354
  • Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

    Xiong Liu, Yanping Chen
    2021-07-01
    41600 3719 Pages:1506-1524
  • Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen
    2018-05-05
    41319 3055 Pages:648-669
  • Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations

    Xingfa Yang, Yin Yang, Yanping Chen, Jie Liu
    2021-07-01
    47168 4083 Pages:1440-1458
  • Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen, Yunqing Huang, Fenglin Huang
    2020-01-17
    48497 3586 Pages:480-502
  • Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

    Xiaofan Zhang, Shoufu Tian & Jinjie Yang
    2022-04-11
    45043 3573 Pages:893-913
  • Convergence Analysis on Stochastic Collocation Methods for the Linear Schrödinger Equation with Random Inputs

    Zhizhang Wu, Zhongyi Huang
    2020-03-06
    49303 4736 Pages:30-56
  • A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis

    Wei Qu, Yuanyuan Huang, Siu-Long Lei
    2024-11-01
    15609 1357 Pages:1474-1501
  • Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

    Qiumei Huang, Min Wang
    2024-05-14
    25203 2512 Pages:927-951
  • A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

    Yixiao Ge, Ting Tan, Jing An
    2020-04-10
    46140 3294 Pages:815-834
  • Spectral Collocation Method for a Class of Integro-Differential Equations with Erdélyi-Kober Fractional Operator

    M. Toranj-Simin, M. Hadizadeh
    2020-01-17
    55934 3239 Pages:386-406
  • The a Posteriori Error Estimates for Chebyshev-Galerkin Spectral Methods in One Dimension

    Jianwei Zhou
    2018-03-30
    41262 3158 Pages:145-157
  • Numerical Investigation of Supersonic Channel Flow with Oscillatory Backpressures

    Peizhao Sun, Nansheng Liu, Jiming Yang, Xiyun Lu
    2019-01-04
    47111 4852 Pages:1-23
  • Two Efficient Block Preconditioners for the Mass-Conserved Ohta-Kawasaki Equation

    Juan Zhang, Shifeng Li, Kai Jiang
    2024-12-31
    13158 1143 Pages:454-488
  • A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

    Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang
    2018-09-17
    44063 4798 Pages:242-260
  • Immersed Finite Element Method for Eigenvalue Problems in Elasticity

    Seungwoo Lee, Do Young Kwak, Imbo Sim
    2018-09-17
    44692 3092 Pages:424-444
  • A Fast Matrix Splitting Iteration Method for Fractional Regime-Switching Option Pricing Model

    Yuhan Li, Mingkai Wang, Junfeng Yin
    2025-09-29
    5076 255 Pages:1742-1760
1 - 24 of 24 items
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