Pade approximants for the numerical solution of singular integral equations

Tsamasphyros, G; Theotokoglou, EE

dc.contributor.author	Tsamasphyros, G	en
dc.contributor.author	Theotokoglou, EE	en
dc.date.accessioned	2014-03-01T01:15:02Z
dc.date.available	2014-03-01T01:15:02Z
dc.date.issued	1999	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13295
dc.subject	Density Functional	en
dc.subject	fredholm integral equation	en
dc.subject	Numerical Solution	en
dc.subject	Quadrature Rule	en
dc.subject	Singular Integral Equation	en
dc.subject	Stress Intensity Factor	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Algorithms	en
dc.subject.other	Approximation theory	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Functions	en
dc.subject.other	Integration	en
dc.subject.other	Stress intensity factors	en
dc.subject.other	Epsilon algorithms	en
dc.subject.other	Pade approximants	en
dc.subject.other	Singural integral equations	en
dc.subject.other	Unknown density functions	en
dc.subject.other	Integral equations	en
dc.title	Pade approximants for the numerical solution of singular integral equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s004660050431	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s004660050431	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	A method for accelerating the convergence of the numerical solution of a singular integral equation, based on Pade Approximants, is given in this paper. At first the general form of the Pade Table and of the 'epsilon' algorithm are presented. Taking into consideration the classical quadrature method, based on the Gauss-Jacobi quadrature rule, an approximate formula is derived for the unknown density function of the Cauchy-type singular integral equation or of the equivalent Fredholm integral equation. In this formula applying the 'epsilon' algorithm to the solution for the stress intensity factors, the convergence is achieved after a few operations. The number of numerical operations required for the determination of stress intensity factors is considerable reduced, when compared to the number of operations required for a classical type of solution. Illustrative examples are given, indicating the efficiency of the method.	en
heal.publisher	Springer-Verlag GmbH & Company KG, Berlin, Germany	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s004660050431	en
dc.identifier.isi	ISI:000081238800016	en
dc.identifier.volume	23	en
dc.identifier.issue	5	en
dc.identifier.spage	519	en
dc.identifier.epage	523	en