Some new Runge-Kutta methods with interpolation properties and their application to the Magnetic-Binary Problem

Papageorgiou, G; Simos, Th; Tsitouras, Ch

dc.contributor.author	Papageorgiou, G	en
dc.contributor.author	Simos, Th	en
dc.contributor.author	Tsitouras, Ch	en
dc.date.accessioned	2014-03-01T01:07:16Z
dc.date.available	2014-03-01T01:07:16Z
dc.date.issued	1988	en
dc.identifier.issn	0923-2958	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9896
dc.subject.classification	Astronomy & Astrophysics	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.title	Some new Runge-Kutta methods with interpolation properties and their application to the Magnetic-Binary Problem	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01230713	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01230713	en
heal.language	English	en
heal.publicationDate	1988	en
heal.abstract	Explicit Runge-Kutta methods provide a popular way to solve the initial value problem for a system of nonstiff ordinary differential equations. On the other hand, for these methods, there is no a natural way to approximate the solution at any point within a given integration step. Scaled Runge-Kutta methods have been developed recently which determine the solution of the differential system at non-mesh points of a given integration step. We propose some new such algorithms based upon well known explicit Runge-Kutta methods, and we verify their advantages by applying them to the Magnetic-Binary Problem. © 1988 Kluwer Academic Publishers.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Celestial Mechanics	en
dc.identifier.doi	10.1007/BF01230713	en
dc.identifier.isi	ISI:000207112500011	en
dc.identifier.volume	44	en
dc.identifier.issue	1-2	en
dc.identifier.spage	167	en
dc.identifier.epage	177	en