Petrov--Galerkin Methods for Linear Volterra Integro-Differential Equations-Reference-Cited by-同舟云学术

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Petrov--Galerkin Methods for Linear Volterra Integro-Differential Equations

Published:2000-01 Issue:3 Volume:38 Page:937-963
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Lin Tao,Lin Yanping,Rao Ming,Zhang Shuhua

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Link

http://epubs.siam.org/doi/pdf/10.1137/S0036142999336145

Reference13 articles.

1. A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations

2. Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels

3. Implicit Runge-Kutta methods of optimal order for Volterra integro-differential equations

4. Polynomial Spline Collocation Methods for Volterra Integrodifferential Equations with Weakly Singular Kernels

5. Higher Accuracy Methods for Second-Kind Volterra Integral Equations Based on Asymptotic Expansions of Iterated Galerkin Methods

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1. On generalized multistep collocation methods for Volterra integro-differential equations;Mathematics and Computers in Simulation;2024-12

2. Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels;Journal of Computational Mathematics;2024-06

3. Convergence analysis and numerical implementation of projection methods for solving classical and fractional Volterra integro-differential equations;Mathematics and Computers in Simulation;2023-09

4. Superconvergent postprocessing of the discontinuous Galerkin time stepping method for nonlinear Volterra integro-differential equations;Journal of Computational and Applied Mathematics;2023-08

5. Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations;ESAIM: Mathematical Modelling and Numerical Analysis;2023-03

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