Gauss quadrature rules for finite part integrals

Tsamasphyros, George; Dimou, George

dc.contributor.author	Tsamasphyros, George	en
dc.contributor.author	Dimou, George	en
dc.date.accessioned	2014-03-01T01:07:53Z
dc.date.available	2014-03-01T01:07:53Z
dc.date.issued	1990	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10229
dc.subject	Quadrature Rule	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Computer Programming--Algorithms	en
dc.subject.other	Gauss Quadrature Rules	en
dc.subject.other	Riemann Integrals	en
dc.subject.other	Mathematical Techniques	en
dc.title	Gauss quadrature rules for finite part integrals	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1620300103	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1620300103	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	We construct a set of polynomials Φn(x, ξ) which are orthogonal with respect to w(x)/(x - ξ)2, where w(x) is a weight function. These polynomials can be used for the definition of a Gauss quadrature formula for a given finite part integral. The process is exactly the same as the one used for the extraction of the classical Gauss formula for the Riemann integrals. Three different methods are derived. The first and most accurate quadrature formula is successfully tested in some numerical examples. The proposed quadrature formulas have many applications in problems of mathematical physics, mechanics, etc.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1620300103	en
dc.identifier.isi	ISI:A1990DR98000002	en
dc.identifier.volume	30	en
dc.identifier.issue	1	en
dc.identifier.spage	13	en
dc.identifier.epage	26	en