Explicit numerov type methods for second order IVPs with oscillating solutions

dc.contributor.author	Παπαγεωργίου, Γεώργιος	el
dc.contributor.author	Τσίτουρας, Χαράλαμπος	el
dc.contributor.author	Φαμέλης, Ιωάννης Θ.	el
dc.date.accessioned	2015-02-13T16:27:02Z
dc.date.issued	2015-02-13
dc.identifier.uri	http://hdl.handle.net/11400/6155
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.worldscientific.com/	en
dc.subject	Initial value problems
dc.subject	Numerical solution
dc.subject	Προβλημάτων αρχικών τιμών
dc.subject	Αριθμητική λύση
dc.title	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: 10.1142/S0129183101001869
heal.dateAvailable	10000-01-01
heal.language	en
heal.access	forever
heal.recordProvider	Τ.Ε.Ι. Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ηλεκτρονικών Μηχανικών Τ.Ε.	el
heal.publicationDate	2001
heal.bibliographicCitation	Papageorgiou, G., Tsitouras, Ch. and Famelis, I. (June 2001). Explicit numerov type methods for second order IVPs with oscillating solutions. International Journal of Modern Physics C: computational physics and physical computation. 15(5). pp. 657-666. World Scientific Publishing Co Pte Ltd: 2001.	en
heal.abstract	New explicit hybrid Numerov type methods are presented in this paper. These efficient methods are constructed using a new approach, where we do not need the use of the intermediate high accuracy interpolatory nodes, since only the Taylor expansion of the internal points is needed. The methods share sixth algebraic order at a cost of five stages per step while their phase-lag order is 14 and partly satisfy the dissipation order conditions. It has be seen that the property of phase-lag is more important than the nonempty interval in constructing numerical methods for the solution of Schrödinger equation and related problems.1–3 Numerical results over some well known problems in physics and mechanics indicate the superiority of the new methods.	en
heal.publisher	World Scientific Publishing Co Pte Ltd	en
heal.journalName	International Journal of Modern Physics C	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true