Optimal algorithms for the solution of Volterra integral equations of the second kind in classes of smooth functions
type: Item
instance of: scholarly article
title: Optimal algorithms for the solution of Volterra integral equations of the second kind in classes of smooth functions
zbMATH Open document ID: 0734.65094
DOI: 10.1007/BF01060662
author: Yu. Yatsenko
author: Sh. A. Naubetova
published in: Ukrainian Mathematical Journal
publication date: 1989-01-01T00:00:00Z
review text: The authors consider Volterra integral equations of the second kind \(x(t)=\int^{t}_{0}K(t,s)x(s)ds+f(t)\), \(t\in [0,T]\). Optimal algorithms for solving these equations in classes of smooth functions are studied.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45D05
zbMATH DE Number: 4215328
zbMATH Keywords: Sobolev space
zbMATH Keywords: Volterra integral equations of the second kind
zbMATH Keywords: Optimal algorithms
zbMATH Keywords: smooth functions
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
cites work: Q3040466
cites work: Best Approximate Integration Formulas; Best Approximation Formulas
cites work: Q3765203
full work available at URL: https://doi.org/10.1007/bf01060662
OpenAlex ID: W2085135987
description: scientific article; zbMATH DE number 4215328