Numerical solution of integral equations with a logarithmic kernel by the method of arbitrary collocation points

Chrysakis, AC; Tsamasphyros, G

dc.contributor.author	Chrysakis, AC	en
dc.contributor.author	Tsamasphyros, G	en
dc.date.accessioned	2014-03-01T01:08:57Z
dc.date.available	2014-03-01T01:08:57Z
dc.date.issued	1992	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10753
dc.subject	Integral Equation	en
dc.subject	Numerical Solution	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Mathematical Models - Applications	en
dc.subject.other	Physics - Applications	en
dc.subject.other	Arbitrary Collocation Points (ACP)	en
dc.subject.other	Elasticity Problems	en
dc.subject.other	Gaussian Quadrature	en
dc.subject.other	Mathematical Techniques	en
dc.title	Numerical solution of integral equations with a logarithmic kernel by the method of arbitrary collocation points	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1620330110	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1620330110	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	An integral equation whose kernel presents logarithmic singularity is numerically solved by the method of arbitrary collocation points (ACP). As a first step a Gaussian quadrature of order n (hence of polynomial accuracy 2n - 1) is employed for the numerical approximation of the integral. Until now the collocation, which follows, was performed on special points x(k)BAR, determined as roots of appropriate transcedental functions, in order to retain the 2n - 1 degree of polynomial accuracy of the Gaussian quadrature. In this paper an appropriate interpolatory technique is proposed, so that x(k) may be arbitrary and yet the high (2n - 1) accuracy of the Gaussian quadrature is retained.	en
heal.publisher	Publ by John Wiley & Sons Ltd, Chichester, United Kingdom	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1620330110	en
dc.identifier.isi	ISI:A1992GX34200009	en
dc.identifier.volume	33	en
dc.identifier.issue	1	en
dc.identifier.spage	143	en
dc.identifier.epage	148	en