On the efficiency of Runge-Kutta-Nystrom methods with interpolants for solving equations of the form Y″ = F(T, Y, Y′) over short timespans

Tsitouras, Ch; Papageorgiou, G; Kalvouridis, T

dc.contributor.author	Tsitouras, Ch	en
dc.contributor.author	Papageorgiou, G	en
dc.contributor.author	Kalvouridis, T	en
dc.date.accessioned	2014-03-01T01:08:58Z
dc.date.available	2014-03-01T01:08:58Z
dc.date.issued	1992	en
dc.identifier.issn	0923-2958	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10762
dc.subject	Numerical integration	en
dc.subject	Runge-Kutta-Nystrom methods	en
dc.subject.classification	Astronomy & Astrophysics	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.title	On the efficiency of Runge-Kutta-Nystrom methods with interpolants for solving equations of the form Y″ = F(T, Y, Y′) over short timespans	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00051815	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00051815	en
heal.language	English	en
heal.publicationDate	1992	en
heal.abstract	Runge-Kutta-Nystrom (RKN) codes for the solution of the initial value problem for the general second order differential system have been developed recently, although the methodology on which they are based was known many years ago. In this paper we try to examine the efficiency of several known general Runge-Kutta-Nystrom (GRKN) methods by posing some criteria of cost and accuracy. These methods supplied with the corresponding interpolants, have been applied to some problems of Celestial Dynamics. The results obtained show that these codes have a good response in the approximation of the solution of these problems. © 1992 Kluwer Academic Publishers.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Celestial Mechanics and Dynamical Astronomy	en
dc.identifier.doi	10.1007/BF00051815	en
dc.identifier.isi	ISI:000207131500003	en
dc.identifier.volume	53	en
dc.identifier.issue	4	en
dc.identifier.spage	329	en
dc.identifier.epage	346	en