Implicitly linear collocation methods for nonlinear Volterra equations
type: Item
instance of: scholarly article
title: Implicitly linear collocation methods for nonlinear Volterra equations
zbMATH Open document ID: 0761.65103
DOI: 10.1016/0168-9274(92)90018-9
author: H. Brunner
published in: Applied Numerical Mathematics
publication date: 1992-09-26T00:00:00Z
review text: \textit{S. Kumar} and \textit{I. H. Sloan} [Math. Comput. 48, 585-593 (1987; Zbl 0616.65142)] introduced a new collocation-type method for Hammerstein integral equations. The author applies this method (which he calls implicitly linear collocation) to nonlinear Volterra integral and integro-differential equations and discusses the connection of the method with the iterated collocation method.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 54677
zbMATH Keywords: implicitly linear collocation
zbMATH Keywords: nonlinear Volterra integral and integro- differential equations
zbMATH Keywords: iterated collocation method
reviewed by: G. Vainikko
MaRDI profile type: Publication
full work available at URL: 0168-9274(92)90018-9
OpenAlex ID: W2087310436
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description: scientific article; zbMATH DE number 54677