On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions

Papageorgiou, G; Famelis, IT

dc.contributor.author	Papageorgiou, G	en
dc.contributor.author	Famelis, IT	en
dc.date.accessioned	2014-03-01T01:14:58Z
dc.date.available	2014-03-01T01:14:58Z
dc.date.issued	1999	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13280
dc.subject	Continuous extensions	en
dc.subject	Delay equations	en
dc.subject	Explicit Runge-Kutta-Nyström (ERKN) methods	en
dc.subject	Phase lag	en
dc.subject	Scaling	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	HIGH-ORDER	en
dc.title	On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0096-3003(98)10020-6	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0096-3003(98)10020-6	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	In this work we dial with the treatment of second order retarded differential equations with periodic solutions by explicit Runge-Kutta-Nystrom methods. In the past such methods have not been studied for this class of problems. We refer to the underline theory and study the behavior of various methods proposed in the literature when coupled with Hermite interpolants. Among them we consider methods having the characteristic of phase-lag order. Then we consider continuous extensions of the methods to treat the retarded part of the problem. Finally we construct scaled extensions and high order interpolants for RKN pairs which have better characteristics compared to analogous methods proposed in the literature. In all cases numerical tests and comparisons are done over various test problems. (C) 1999 Elsevier Science Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/S0096-3003(98)10020-6	en
dc.identifier.isi	ISI:000079649400005	en
dc.identifier.volume	102	en
dc.identifier.issue	1	en
dc.identifier.spage	63	en
dc.identifier.epage	76	en