INTERPOLATING RUNGE-KUTTA-NYSTROM METHODS OF HIGH-ORDER

TSITOURAS, C; PAPAGEORGIOU, G

dc.contributor.author	TSITOURAS, C	en
dc.contributor.author	PAPAGEORGIOU, G	en
dc.date.accessioned	2014-03-01T01:09:26Z
dc.date.available	2014-03-01T01:09:26Z
dc.date.issued	1993	en
dc.identifier.issn	0020-7160	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10978
dc.subject	ORDINARY DIFFERENTIAL EQUATIONS	en
dc.subject	RUNGE-KUTTA-NYSTROM METHODS	en
dc.subject	INTERPOLANTS	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	FORMULAS	en
dc.subject.other	TRIPLES	en
dc.title	INTERPOLATING RUNGE-KUTTA-NYSTROM METHODS OF HIGH-ORDER	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/00207169308804178	en
heal.identifier.secondary	http://dx.doi.org/10.1080/00207169308804178	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	A Runge-Kutta-Nystrom (RKN) formula becomes inefficient when the step size must be reduced often to produce answers at specified points. The last years an effort has been started to providing Runge-Kutta Nystrom methods with an interpolation capability. Then approximations can be produced on intermediate points of a successful step inexpensively. New high order Hermite type interpolants for (RKN) methods are presented. The interpolants which approximate the solution is of O(h(9)) and C-2 while the interpolants which approximate the corresponding derivative is of O(h(8)) and C-1. These interpolants have been constructed in two ways, using values from one and two steps respectively.	en
heal.publisher	GORDON BREACH SCI PUBL LTD	en
heal.journalName	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS	en
dc.identifier.doi	10.1080/00207169308804178	en
dc.identifier.isi	ISI:A1993MR59700009	en
dc.identifier.volume	47	en
dc.identifier.issue	3-4	en
dc.identifier.spage	209	en
dc.identifier.epage	217	en