Continuous  runge-kutta-nyström methods for initial value problems with periodic solutions

dc.contributor.author	Παπαγεωργίου, Γεώργιος	el
dc.contributor.author	Φαμέλης, Ιωάννης Θ.	el
dc.date.accessioned	2015-02-13T17:39:54Z
dc.date.available	2015-02-13T17:39:54Z
dc.date.issued	2015-02-13
dc.identifier.uri	http://hdl.handle.net/11400/6166
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	Continuous extensions
dc.subject	Scaling
dc.subject	Συνεχείς παρατάσεις
dc.subject	Απολέπιση
dc.title	Continuous runge-kutta-nyström methods for initial value problems 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.identifier.secondary	doi:10.1016/S0898-1221(01)00230-9
heal.language	en
heal.access	campus
heal.recordProvider	Τ.Ε.Ι. Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ηλεκτρονικών Μηχανικών Τ.Ε.	el
heal.publicationDate	2001
heal.bibliographicCitation	Papageorgiou, G. and Famelis, I. (October-November 2001). Continuous runge-kutta-nyström methods for initial value problems with periodic solutions. Computer and Mathematics with Applications. 42(8-9). pp. 1165-1176. Elsevier Science Ltd: 2001. Available from: http://www.sciencedirect.com [Accessed 04/10/2001]	en
heal.abstract	In the present work, we are concerned with the derivation of continuous Runge-Kutta-Nyström methods for the numerical treatment of second-order ordinary differential equations with Nyström 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 characteristics of high phase-lag order. First we analyse the construction algorithm for a high phase-lag order scaled extension of an explicit Runge-Kutta-Nyström 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 stage 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.	en
heal.publisher	Elsevier Science Ltd	en
heal.journalName	Computers & Mathematics with Applications	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true