A Gauss quadrature formula for Cauchy type integrals

Tsamasphyros, G; Dimou, G

dc.contributor.author	Tsamasphyros, G	en
dc.contributor.author	Dimou, G	en
dc.date.accessioned	2014-03-01T01:07:02Z
dc.date.available	2014-03-01T01:07:02Z
dc.date.issued	1988	en
dc.identifier.issn	01787675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9759
dc.subject	Numerical Integration	en
dc.subject	Quadrature Formula	en
dc.subject	Weight Function	en
dc.title	A Gauss quadrature formula for Cauchy type integrals	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00282416	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00282416	en
heal.publicationDate	1988	en
heal.abstract	In this paper, a set of polynomials {φ{symbol}n(x;ζ)} orthogonal with respect to w(x)/(x - ζ) is obtained. (w(x) being a weight function.) Using these polynomials a Gauss formula for the numerical integration of the Cauchy type integrals {Mathematical expression} is for the first time constructed. The proof follows the same lines as the proof of the classical Gauss integration for the Riemann integrals. The proposed quadrature formula is very interesting in many problems of mathematical physics, mechanics etc. The new formula presents the expected polynomial accuracy and it is succesfully tested in three numerical examples. © 1989 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/BF00282416	en
dc.identifier.volume	4	en
dc.identifier.issue	2	en
dc.identifier.spage	137	en
dc.identifier.epage	148	en