Stability of backward differentiation formulas for Volterra integro-differential equations
type: Item
instance of: scholarly article
title: Stability of backward differentiation formulas for Volterra integro-differential equations
zbMATH Open document ID: 0949.65139
DOI: 10.1016/S0377-0427(99)00123-5
published in: Journal of Computational and Applied Mathematics
publication date: 2000-12-12T00:00:00Z
review text: The paper deals with the system of Volterra integro-differential equations with linear convolution kernel \[ y'(t)= g(t)+ Ay(t)+ \int^t_0 k(t- s)y(s) ds,\quad t\in[0, T],\tag{1} \] \[ y(0)= y_0;\quad y, g\in\mathbb{R}^d;\quad A, k\in\mathbb{R}^{d\times d}.\tag{2} \] The author analyzes the numerical stability of backward differentiation methods for (1), (2).
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45F05
zbMATH DE Number: 1423344
zbMATH Keywords: system of Volterra integro-differential equations
zbMATH Keywords: linear convolution kernel
zbMATH Keywords: numerical stability
zbMATH Keywords: backward differentiation methods
author: Antonia Vecchio
reviewed by: Emil Minchev
MaRDI profile type: Publication
cites work: Q3750978
cites work: Stability of numerical methods for Volterra integro-differential equations
cites work: Stability of continuous and discrete Volterra integro-differential equations by Liapunov approach
cites work: Stability of difference Volterra equations: Direct Lyapunov method and numerical procedure
cites work: Q4244035
cites work: Q4871718
cites work: Asymptotic stability versus exponential stability in linear volterra difference equations of convolution type
cites work: Q4002473
cites work: Q3222981
cites work: On the Stability of Linear Multistep Methods for Volterra Convolution Equations
cites work: A-stable linear multistep methods for Volterra integro-differential equations
cites work: Q4241037
description: scientific article; zbMATH DE number 1423344