A tenth order symplectic Runge-Kutta-Nyström method

Tsitouras, Ch

dc.contributor.author	Tsitouras, Ch	en
dc.date.accessioned	2014-03-01T01:14:22Z
dc.date.available	2014-03-01T01:14:22Z
dc.date.issued	1999	en
dc.identifier.issn	0923-2958	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13021
dc.subject	Hamiltonian problems	en
dc.subject	Runge-Kutta-Nyström methods	en
dc.subject	Symplectic methods	en
dc.subject.classification	Astronomy & Astrophysics	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	INTEGRATORS	en
dc.subject.other	SYSTEMS	en
dc.title	A tenth order symplectic Runge-Kutta-Nyström method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1008346516048	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1008346516048	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	A tenth order explicit symmetric and in consequence symplectic Runge-Kutta-Nyström method is presented here. We derive the order conditions needed and solve them for the parameters of the method. Numerical results indicate the superiority of the new method compared to the other high order symplectic methods appeared in the literature until now.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Celestial Mechanics and Dynamical Astronomy	en
dc.identifier.doi	10.1023/A:1008346516048	en
dc.identifier.isi	ISI:000083815000001	en
dc.identifier.volume	74	en
dc.identifier.issue	4	en
dc.identifier.spage	223	en
dc.identifier.epage	230	en