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  • On Spectral Methods for Volterra Integral Equations and the Convergence Analysis

    Tao Tang, Xiang Xu & Jin Cheng
    2021-07-01
    32801 3715 Pages:825-837
  • Spectral Approximation Orders of Multidimensional Nonstationary Biorthogonal Semi-Multiresolution Analysis in Sobolev Space

    Wensheng Chen, Xu Chen, Wei Lin
    2018-08-15
    32967 3870 Pages:81-90
  • Variable Step-Size BDF3 Method for Allen-Cahn Equation

    Minghua Chen, Fan Yu, Qingdong Zhang, Zhimin Zhang
    2024-07-18
    24368 1736 Pages:1380-1406
  • A Hybrid Explicit-Implicit Scheme for the Time-Dependent Wigner Equation

    Haiyan Jiang, Tiao Lu, Xu Yin
    2021-06-10
    42229 4327 Pages:22-42
  • Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity

    Jiyong Li
    2024-11-19
    13946 1106 Pages:280-314
  • Weak Error Estimates for Trajectories of SPDEs Under Spectral Galerkin Discretization

    Charles-Edouard Bréhier, Martin Hairer, Andrew M. Stuart
    2019-02-12
    44155 4120 Pages:159-182 Open-access
  • Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays

    Ishtiaq Ali
    2018-08-22
    33495 3773 Pages:49-60
  • Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations

    Yanping Chen, Zhenrong Chen, Yanping Zhou, Fangfang Qin
    2026-04-15
    2828 90 Pages:521-538
  • Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

    Yanping Chen, Zhenrong Chen, Yunqing Huang
    2024-01-16
    25685 2190 Pages:355-371
  • Spectral Method for Mixed Inhomogeneous Boundary Value Problems in Three Dimensions

    Tianjun Wang, Benyu Guo & Wei Li
    2021-07-01
    36126 3869 Pages:579-600
  • On the Error Estimates for the Rotational Pressure-Correction Projection Spectral Methods for the Unsteady Stokes Equations

    Feng-Hui Huang & Chuan-Ju Xu
    2005-06-02
    33057 3381 Pages:285-304
  • Weak Approximations of Stochastic Partial Differential Equations with Fractional Noise

    Meng Cai, Siqing Gan, Xiaojie Wang
    2024-04-08
    19097 1896 Pages:735-754
  • Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

    Lingling Zhou, Wenhua Chen, Ruihan Guo
    2026-02-15
    2265 160 Pages:286-306
  • Spectral Solutions of a Fractional-Order Mathematical Model for Lung Cancer, Sensitivity Analysis, and Feedback Control

    Khadijeh Sadri, David Amilo, Evren Hincal
    2025-06-06
    279 86
  • Efficient Spectral Methods for Eigenvalue Problems of the Integral Fractional Laplacian on a Ball of Any Dimension

    Suna Ma, Huiyuan Li, Zhimin Zhang, Hu Chen, Lizhen Chen
    2024-04-09
    26182 1972 Pages:1032-1062
  • A Note on Jacobi Spectral-Collocation Methods for Weakly Singular Volterra Integral Equations with Smooth Solutions

    Yanping Chen, Xianjuan Li & Tao Tang
    2018-08-22
    37576 3893 Pages:47-56
  • Convergence Analysis for Spectral Approximation to a Scalar Transport Equation with a Random Wave Speed

    Tao Zhou & Tao Tang
    2021-07-01
    36063 3767 Pages:643-656
  • A Spectral Method for Pantograph-Type Delay Differential Equations and Its Convergence Analysis

    Ishtiaq Ali, Hermann Brunner & Tao Tang
    2018-08-07
    33186 3530 Pages:254-265
  • Spectral Analysis of the First-Order Hermite Cubic Spline Collocation Differentiation Matrices

    Ji-Ming Wu, Long-Jun Shen
    2002-10-02
    32824 3542 Pages:551-560
  • Analysis of Two Any Order Spectral Volume Methods for 1-D Linear Hyperbolic Equations with Degenerate Variable Coefficients

    Minqiang Xu, Yanting Yuan, Waixiang Cao, Qingsong Zou
    2024-11-13
    11706 1217 Pages:1627-1655
  • High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

    Mohammad Tanzil Hasan, Chuanju Xu
    2020-05-19
    39464 3041 Pages:580-605
  • Modified Legendre Rational Spectral Method for the Whole Line

    Zhongqing Wang, Benyu Guo
    2004-06-02
    32837 3373 Pages:457-474
  • Stability Analysis and Application of the Exponential Time Differencing Schemes

    Qiang Du, Wenxiang Zhu
    2004-04-02
    33362 4365 Pages:200-209
  • Analysis of Arbitrary High Order Spectral Volume Method for Hyperbolic Conservation Laws Over Rectangular Meshes

    Waixiang Cao, Zhimin Zhang, Qingsong Zou
    2025-09-05
    240 72
  • Rational Spectral Collocation Method for a Coupled System of Singularly Perturbed Boundary Value Problems

    Suqin Chen, Yingwei Wang, & Xionghua Wu
    2018-08-22
    34498 3780 Pages:458-473
  • Shock and Boundary Structure Formation by Spectral-Lagrangian Methods for the Inhomogeneous Boltzmann Transport Equation

    Irene M. Gamba & Sri Harsha Tharkabhushanam
    2018-08-22
    34778 3451 Pages:430-460
  • Serendipity Virtual Element Method for the Second Order Elliptic Eigenvalue Problem in Two and Three Dimensions

    Haokun Li, Yulin Liu, Jian Meng, Xu Qian
    2026-01-20
    71 94
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