Zero dissipative, explicit numerov type methods for second order IVPs with oscillating solutions

dc.contributor.author	Σίμος, Θεόδωρος	el
dc.contributor.author	Φαμέλης, Ιωάννης Θ.	el
dc.contributor.author	Τσίτουρας, Χαράλαμπος	el
dc.date.accessioned	2015-02-13T16:40:53Z
dc.date.available	2015-02-13T16:40:53Z
dc.date.issued	2015-02-13
dc.identifier.uri	http://hdl.handle.net/11400/6157
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://link.springer.com/	en
dc.subject	Initial value problems
dc.subject	Numerical solution
dc.subject	Προβλήματα αρχικών τιμών
dc.subject	Αριθμητική λύση
dc.title	Zero dissipative, explicit numerov type methods for second order IVPs with oscillating 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/sh85066415
heal.identifier.secondary	DOI 10.1023/A:1026167824656
heal.language	en
heal.access	campus
heal.recordProvider	Τ.Ε.Ι. Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ηλεκτρονικών Μηχανικών Τ.Ε.	el
heal.publicationDate	2003
heal.bibliographicCitation	Simos, T., Famelis, I. and Tsitouras, C. (September 2003). Zero dissipative, explicit numerov type methods for second order IVPs with oscillating solutions. Numerical Algorithms. 34(1). pp. 27-40. Kluwer Academic Publishers: Netherlands, 2003. Available from: http://link.springer.com/	en
heal.abstract	New explicit, zero dissipative, hybrid Numerov type methods are presented in this paper. We derive these methods using an alternative which avoids the use of costly high accuracy interpolatory nodes. We only need the Taylor expansion at some internal points then. The method is of sixth algebraic order at a cost of seven stages per step while their phase lag order is fourteen. The zero dissipation condition is satisfied, so the methods possess an non empty interval of periodicity. Numerical results over some well known problems in physics and mechanics indicate the superiority of the new method.	en
heal.publisher	Kluwer Academic Publishers	el
heal.journalName	Numerical Algorithms	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true