On using explicit RKN methods for the treatment of retarded differential equations with periodic solutions

dc.contributor.author	Παπαγεωργίου, Γεώργιος	el
dc.contributor.author	Φαμέλης, Ιωάννης Θ.	el
dc.date.accessioned	2015-02-13T16:01:34Z
dc.date.available	2015-02-13T16:01:34Z
dc.date.issued	2015-02-13
dc.identifier.uri	http://hdl.handle.net/11400/6153
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://www.elsevier.com	en
dc.subject	Delay differential equations
dc.subject	Scaling
dc.subject	Εξισώσεις με καθυστέρηση
dc.subject	Απολέπιση
dc.title	On using explicit RKN methods for the treatment of retarded differential equations with periodic solutions	en
heal.type	journalArticle
heal.classification	Electronics
heal.classification	Applied mathematics
heal.classification	Ηλεκτρονική
heal.classification	Εφαρμοσμένα μαθηματικά
heal.classificationURI	http://zbw.eu/stw/descriptor/10455-2
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh93002523
heal.classificationURI	N/A-Ηλεκτρονική
heal.classificationURI	N/A-Εφαρμοσμένα μαθηματικά
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85037892
heal.identifier.secondary	doi:10.1016/S0096-3003(98)10020-6
heal.language	en
heal.access	campus
heal.recordProvider	Τ.Ε.Ι. Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ηλεκτρονικών Μηχανικών Τ.Ε.	el
heal.publicationDate	1999
heal.bibliographicCitation	Papageorgiou, G. and Famelis, I. (July 1999). On using explicit RKN methods for the treatment of retarded differential equations with periodic solutions. Applied Mathematics and Computation. 102(1). pp. 63-76. Elsevier Science Ltd: 1999. Available from: http://www.sciencedirect.com [Accessed 07/07/1999]	en
heal.abstract	In this work we dial with the treatment of second order retarded differential equations with periodic solutions by explicit Runge–Kutta–Nyström 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.	en
heal.publisher	Elsevier Science Ltd	en
heal.journalName	Applied Mathematics and Computation	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true