A P-stable singly diagonally implicit Runge-Kutta-Nyström method

Papageorgiou, G; Famelis, ITh; Tsitouras, Ch

dc.contributor.author	Papageorgiou, G	en
dc.contributor.author	Famelis, ITh	en
dc.contributor.author	Tsitouras, Ch	en
dc.date.accessioned	2014-03-01T01:13:32Z
dc.date.available	2014-03-01T01:13:32Z
dc.date.issued	1998	en
dc.identifier.issn	1017-1398	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12549
dc.subject	P-stability	en
dc.subject	Singly diagonally implicit Runge-Kutta-Nyström	en
dc.subject.classification	Mathematics, Applied	en
dc.title	A P-stable singly diagonally implicit Runge-Kutta-Nyström method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1016644726305	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1016644726305	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	A five-stage fifth-order singly diagonally implicit Runge-Kutta-Nyström method for the integration of second order differential equations possessing an oscillatory solution, is presented in this article. This method is P-stable, which is recommended for problems with a theoretical solution consisting of a periodic part of moderate frequency with a high frequency oscillation with small amplitude superimposed. It also attains an order which is one higher than existing methods of this type. Numerical comparisons with existing methods of this type show its clear advantage.	en
heal.publisher	BALTZER SCI PUBL BV	en
heal.journalName	Numerical Algorithms	en
dc.identifier.doi	10.1023/A:1016644726305	en
dc.identifier.isi	ISI:000075230600008	en
dc.identifier.volume	17	en
dc.identifier.issue	3-4	en
dc.identifier.spage	345	en
dc.identifier.epage	353	en