Continuous Runge-Kutta-Nyström methods for initial value problems with periodic solutions

Papageorgiou, G; Famelis, ITh

dc.contributor.author	Papageorgiou, G	en
dc.contributor.author	Famelis, ITh	en
dc.date.accessioned	2014-03-01T01:16:14Z
dc.date.available	2014-03-01T01:16:14Z
dc.date.issued	2001	en
dc.identifier.issn	0898-1221	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13996
dc.subject	Continuous extensions	en
dc.subject	Explicit Runge-Kutta-Nyström	en
dc.subject	Phase-lag	en
dc.subject	Scaling	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Algorithms	en
dc.subject.other	Initial value problems	en
dc.subject.other	Oscillations	en
dc.subject.other	Problem solving	en
dc.subject.other	Continuous extensions	en
dc.subject.other	Runge Kutta methods	en
dc.title	Continuous Runge-Kutta-Nyström methods for initial value problems with periodic solutions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0898-1221(01)00230-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0898-1221(01)00230-9	en
heal.language	English	en
heal.publicationDate	2001	en
heal.abstract	In the present work, we are concerned with the derivation of continuous Runge-Kutta-Nystrom methods for the numerical treatment of second-order ordinary differential equations with periodic solutions. Numerical methods used for solving such problems are better to have the characteristic of high phase-lag order. First we analyse the construction algorithm for a high phase-lag order scaled extension of an explicit Runge-Kutta-Nystrom method. Using this procedure, we manage to construct a phase-lag order 14 continuous extension of a popular nine stages 8(6) order ERKN pair. In the literature, only phase-lag order 12 continuous extension of nine stages 8(6) ERKN pairs can be found, so the proposed scaling method has the higher, until now, dispersion order. Numerical tests for the proposed methods are done over various test problems. (C) 2001 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Mathematics with Applications	en
dc.identifier.doi	10.1016/S0898-1221(01)00230-9	en
dc.identifier.isi	ISI:000170803800014	en
dc.identifier.volume	42	en
dc.identifier.issue	8-9	en
dc.identifier.spage	1165	en
dc.identifier.epage	1176	en