Convergence analysis of discretization methods for nonlinear first kind Volterra integral equations
type: Item
instance of: scholarly article
title: Convergence analysis of discretization methods for nonlinear first kind Volterra integral equations
zbMATH Open document ID: 0563.65082
DOI: 10.1007/BF01389430
author: S. McKee
author: Rolf Jeltsch
author: Jennifer A. Dixon
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133099
review text: An existence and uniqueness result is given for nonlinear Volterra integral equations of the first kind. This permits, by means of analogous discrete manipulations, a general convergence analysis for a wide class of discretization methods for nonlinear first kind Volterra integral equations to be presented. A concept of optimal consistency allows two- sided error bounds to be derived.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 3898178
zbMATH Keywords: nonlinear Volterra integral equations of the first kind
zbMATH Keywords: convergence
zbMATH Keywords: optimal consistency
zbMATH Keywords: two-sided error bounds
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3898178