Runge-Kutta interpolants based on values from two successive integration steps

Tsitouras, Ch; Papageorgiou, G

dc.contributor.author	Tsitouras, Ch	en
dc.contributor.author	Papageorgiou, G	en
dc.date.accessioned	2014-03-01T01:08:08Z
dc.date.available	2014-03-01T01:08:08Z
dc.date.issued	1990	en
dc.identifier.issn	0010-485X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10295
dc.subject	AMS Subject Classfication: 65L05	en
dc.subject	Initial value problem	en
dc.subject	Interpolation	en
dc.subject	Rung-Kutta methods	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.title	Runge-Kutta interpolants based on values from two successive integration steps	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02242920	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02242920	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	New interpolants of the explicit Runge-Kutta method for the initial value problem are proposed. These interpolants are based on values of the solution and its derivative from two successive integration steps. In this paper, three interpolants with O(h6) local error (l.e.), for the fifth order solution, of the methods Fehlberg 4(5) (RKF 4(5)), Dormand and Prince 5(4) (RKDP 5(4)) and Verner 5(6) (RKV 5(6)) without extra cost are derived. An interpolant with O(h7) (l.e.) for the sixth order solution of the Verner's method with only one extra function evaluation per integration step is also constructed. The above advantages are obtained without any cost in the magnitude of the error. © 1990 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computing	en
dc.identifier.doi	10.1007/BF02242920	en
dc.identifier.isi	ISI:A1990CT22100004	en
dc.identifier.volume	43	en
dc.identifier.issue	3	en
dc.identifier.spage	255	en
dc.identifier.epage	266	en