The modified quadrature method for classical pseudodifferential equations of negative order on smooth closed curves
type: Item
instance of: scholarly article
title: The modified quadrature method for classical pseudodifferential equations of negative order on smooth closed curves
zbMATH Open document ID: 0811.65133
DOI: 10.1016/0377-0427(94)90322-0
author: L. Schroderus
author: J. Saranen
published in: Journal of Computational and Applied Mathematics
publication date: 1994-09-22T00:00:00Z
review text: The authors present a modified quadrature method for strongly elliptic boundary integral equations of negative order on smooth closed curves. The method employs a modification that extracts the singularity appearing in the kernel or in some of its derivatives. For approximation of the integral the composite rule is used. Moreover, stability and convergence of this method are shown. Some numerical experiments confirming the theoretical results are also presented.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35S05
zbMATH DE Number: 643777
zbMATH Keywords: classical pseudodifferential equations
zbMATH Keywords: modified quadrature method
zbMATH Keywords: strongly elliptic boundary integral equations of negative order
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: numerical experiments
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)90322-0
OpenAlex ID: W2052218565
cites work: The convergence of spline collocation for strongly elliptic equations on curves
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description: scientific article; zbMATH DE number 643777