Neural network based derivation of efficient high order runge-kutta-nystrom pairs for the integration of orbits

dc.contributor.author	Φαμέλης, Ιωάννης Θ.	el
dc.date.accessioned	2015-02-14T11:21:49Z
dc.date.issued	2015-02-14
dc.identifier.uri	http://hdl.handle.net/11400/6226
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	Kepler problem
dc.subject	Neural networks
dc.subject	Πρόβλημα κέπλερ
dc.subject	Νευρωνικό δίκτυο
dc.title	Neural network based derivation of efficient high order runge-kutta-nystrom pairs for the integration of orbits	en
heal.type	journalArticle
heal.classification	Physics
heal.classification	Mathematical physics
heal.classification	Φυσική
heal.classification	Μαθηματική φυσική
heal.classificationURI	http://skos.um.es/unescothes/C02994
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85082129
heal.classificationURI	N/A-Φυσική
heal.classificationURI	N/A-Μαθηματική φυσική
heal.keywordURI	http://zbw.eu/stw/descriptor/19808-6
heal.identifier.secondary	DOI: 10.1142/S0129183111016919
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	2011
heal.bibliographicCitation	Famelis, I. 9December 2011). Neural network based derivation of efficient high order runge-kutta-nystrom pairs for the integration of orbits. International Journal of Modern Physics C. 22(12). pp. 469–473. World Scientific Publishing Company: 2011.	en
heal.abstract	We use Neural Network approach to derive a Runge{Kutta{Nystr om pair of orders 8(6) for the integration of orbital problems. We use an di erential evolution optimization technique to choose the free parameters of the method's family. We train the method to perform optimally in a speci c test orbit from the Kepler problem for a speci c tolerance. Our measure of e ciency involves the global error and the number of function evaluations. Other orbital problems are solved to test the new pair.	en
heal.publisher	World Scienti c Publishing Company	en
heal.journalName	International Journal of Modern Physics C	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true