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

    Tao Tang, Xiang Xu, Jin Cheng
    2021-07-01
    32903 3745 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
    33062 3910 Pages:81-90
  • Variable Step-Size BDF3 Method for Allen-Cahn Equation

    Minghua Chen, Fan Yu, Qingdong Zhang, Zhimin Zhang
    2024-07-18
    24525 1771 Pages:1380-1406
  • A Hybrid Explicit-Implicit Scheme for the Time-Dependent Wigner Equation

    Haiyan Jiang, Tiao Lu, Xu Yin
    2021-06-10
    42341 4392 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
    14137 1153 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
    44339 4188 Pages:159-182 Open-access
  • Convergence Analysis of Spectral Methods for Integro-Differential Equations with Vanishing Proportional Delays

    Ishtiaq Ali
    2018-08-22
    33608 3825 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
    3242 157 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
    25829 2233 Pages:355-371
  • Spectral Method for Mixed Inhomogeneous Boundary Value Problems in Three Dimensions

    Tianjun Wang, Benyu Guo, Wei Li
    2021-07-01
    36262 3900 Pages:579-600
  • On the Error Estimates for the Rotational Pressure-Correction Projection Spectral Methods for the Unsteady Stokes Equations

    FH Huang, CJ Xu
    2005-06-02
    33159 3402 Pages:285-304
  • Weak Approximations of Stochastic Partial Differential Equations with Fractional Noise

    Meng Cai, Siqing Gan, Xiaojie Wang
    2024-04-08
    19257 1927 Pages:735-754
  • 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
    619 40 Pages:747–778
  • 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
    2556 250 Pages:286-306
  • 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
    26304 2015 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
    37718 3951 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
    36182 3793 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
    33286 3555 Pages:254-265
  • Spectral Analysis of the First-Order Hermite Cubic Spline Collocation Differentiation Matrices

    Ji-Ming Wu, Long-Jun Shen
    2002-10-02
    32930 3578 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
    11856 1263 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
    39587 3071 Pages:580-605
  • Modified Legendre Rational Spectral Method for the Whole Line

    Zhongqing Wang, Benyu Guo
    2004-06-02
    32943 3402 Pages:457-474
  • Stability Analysis and Application of the Exponential Time Differencing Schemes

    Qiang Du, Wenxiang Zhu
    2004-04-02
    33490 4397 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
    570 40 Pages:843–870
  • Rational Spectral Collocation Method for a Coupled System of Singularly Perturbed Boundary Value Problems

    Suqin Chen, Yingwei Wang, Xionghua Wu
    2018-08-22
    34590 3804 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
    34888 3480 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
    155 167
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