Symbolic Derivation of Order Conditions for Hybrid Numerov-type methods solving y’’ = f(x,y)

dc.contributor.author	Φαμέλης, Ιωάννης Θ.	el
dc.contributor.author	Τσίτουρας, Χαράλαμπος	el
dc.date.accessioned	2015-02-14T09:27:08Z
dc.date.available	2015-02-14T09:27:08Z
dc.date.issued	2015-02-14
dc.identifier.uri	http://hdl.handle.net/11400/6193
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	Order conditions
dc.subject	Integer partitions
dc.subject	Όροι παραγγελίας
dc.subject	Ακέραιος χωρίσματα
dc.title	Symbolic Derivation of Order Conditions for Hybrid Numerov-type methods solving y’’ = f(x,y)	en
heal.type	journalArticle
heal.generalDescription	The Proceedings of the Twelfth International Congress on Computational and Applied Mathematics	en
heal.classification	Mathematics
heal.classification	Applied mathematics
heal.classification	Μαθηματικά
heal.classification	Εφαρμοσμένα μαθηματικά
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85082139
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh93002523
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	N/A-Εφαρμοσμένα μαθηματικά
heal.identifier.secondary	doi:10.1016/j.cam.2007.09.017
heal.language	en
heal.access	campus
heal.recordProvider	Τ.Ε.Ι. Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ηλεκτρονικών Μηχανικών Τ.Ε.	el
heal.publicationDate	2008
heal.bibliographicCitation	Famelis, I. and Tsitouras, Ch. (September 2008). Symbolic Derivation of Order Conditions for Hybrid Numerov-type methods solving y’’ = f(x, y). Journal of Computational and Applied Mathematics. 218(2). pp. 543-555. Elsevier Science Ltd: 2008. Available from: http://www.sciencedirect.com [Accessed 26/09/2007]	en
heal.abstract	Numerov-type ODE solvers are widely used for the numerical treatment of second-order initial value problems. In this work we present a powerful and efficient symbolic code in MATHEMATICA for the derivation of their order conditions and principal truncation error terms. The relative tree theory for such order conditions is presented along with the elements of combinatorial mathematics, partitions of integer numbers and computer algebra which are the basis of the implementation of the symbolic code.	en
heal.publisher	Elsevier Science Ltd	en
heal.journalName	Journal of Computational and Applied Mathematics	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true