Discrete time relaxation based on direct quadrature methods for Volterra integral equations
type: Item
instance of: scholarly article
title: Discrete time relaxation based on direct quadrature methods for Volterra integral equations
zbMATH Open document ID: 0930.65143
author: A. Paone
author: Antonia Vecchio
published in: Computing
publication date: 1999-06-28T00:00:00Z
review text: Discrete-time relaxation methods based on direct quadrature methods for the numerical solution of second kind Volterra systems are discussed. Sufficient conditions are given for the convergence of the iteration process which does not involve the spectral radius of the iteration matrix. It is directly expressed in terms of the characteristics of the chosen splitting and of the original kernel. Numerical examples are given to illustrate usefulness of the method.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45F05
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 1309780
zbMATH Keywords: discrete-time relaxation methods
zbMATH Keywords: numerical examples
zbMATH Keywords: direct quadrature methods
zbMATH Keywords: second kind Volterra systems
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: s006070050010
OpenAlex ID: W2027204464
DOI: 10.1007/S006070050010
description: scientific article; zbMATH DE number 1309780