Location of boundary contours and discontinuity arcs, of known shape and conditions, of analytic functions by using contour integrals
type: Item
instance of: scholarly article
title: Location of boundary contours and discontinuity arcs, of known shape and conditions, of analytic functions by using contour integrals
zbMATH Open document ID: 0669.65016
DOI: 10.1016/0377-0427(89)90035-6
author: S. H. Smith
published in: Journal of Computational and Applied Mathematics
publication date: 1989-01-01T00:00:00Z
review text: Complex integrals independent of the closed contour C are used for the determination of the position of a boundary contour and/or of an arc of discontinuity of an analytic function \(\phi\) (z). For the application of this method only the values of \(\phi\) (z) or one of its derivatives on C are necessary. The method is illustrated in two elementary applications.
reviewed by: S.Filippi
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 65H05
zbMATH DE Number: 4096671
zbMATH Keywords: Cauchy type integrals
zbMATH Keywords: contour integrals
zbMATH Keywords: inclusions
zbMATH Keywords: complex path- independent integrals
zbMATH Keywords: cracks
zbMATH Keywords: holes
zbMATH Keywords: location of boundaries
zbMATH Keywords: Complex integrals
zbMATH Keywords: arc of discontinuity
zbMATH Keywords: analytic function
MaRDI profile type: Publication
full work available at URL: 0377-0427(89)90035-6
OpenAlex ID: W2072381602
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description: scientific article; zbMATH DE number 4096671