COMPUTATION OF THE ROOTS OF CAUCHY TYPE PRINCIPAL VALUE INTEGRALS.

Anastasselou Eleni, G

dc.contributor.author	Anastasselou Eleni, G	en
dc.date.accessioned	2014-03-01T01:06:15Z
dc.date.available	2014-03-01T01:06:15Z
dc.date.issued	1984	en
dc.identifier.issn	0020-7160	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9265
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	CAUCHY TYPE INTEGRALS	en
dc.subject.other	GAUSSIAN QUADRATURE RULES	en
dc.subject.other	RIEMANN-HILBERT BOUNDARY VALUE PROBLEM	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	COMPUTATION OF THE ROOTS OF CAUCHY TYPE PRINCIPAL VALUE INTEGRALS.	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/00207168408803427	en
heal.identifier.secondary	http://dx.doi.org/10.1080/00207168408803427	en
heal.language	English	en
heal.publicationDate	1984	en
heal.abstract	A new method for the computation of the roots of Cauchy type principal value integrals (inside the integration interval) is proposed. This method is based on the extension of the formulae defining such integrals (by analytic continuation) outside the integration interval and, furthermore, on the application of the method of Burniston and Siewert for the computation of the zeros of sectionally analytic functions. A recent analogous method proposed by the author can alternatively be used. Gaussian quadrature rules are used for the numerical computation of the integrals and, hence, of the sought roots. Numerical results are presented for the roots of the Legendre function of the second kind Q//1(x).	en
heal.publisher	GORDON BREACH SCI PUBL LTD	en
heal.journalName	International Journal of Computer Mathematics	en
dc.identifier.doi	10.1080/00207168408803427	en
dc.identifier.isi	ISI:A1984TK22300006	en
dc.identifier.volume	16	en
dc.identifier.issue	1	en
dc.identifier.spage	85	en
dc.identifier.epage	96	en