A third order numerical scheme for the two-dimensional sine-Gordon equation

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-05T16:50:57Z
dc.date.available	2015-06-05T16:50:57Z
dc.date.issued	2015-06-05
dc.identifier.uri	http://hdl.handle.net/11400/15158
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.scopus.com/record/display.url?origin=recordpage&eid=2-s2.0-35748982165&citeCnt=0&noHighlight=false&sort=plf-f&src=s&sid=2DCF200B00379677732236F1AFC88BE5.ZmAySxCHIBxxTXbnsoe5w%3a3440&sot=autdocs&sdt=autdocs&sl=18&s=AU-ID%2815724401200%29&relpos=14	en
dc.subject	Προσέγγιση θεωρίας
dc.subject	Μέθοδος πεπερασμένων διαφορών
dc.subject	Αριθμητικές μέθοδοι
dc.subject	Επίλυση προβλήματος
dc.subject	Σολιτόνια
dc.subject	Approximation theory
dc.subject	Finite differences
dc.subject	Multigrid methods (Numerical analysis)
dc.subject	Problem solving
dc.subject	Solitons
dc.title	A third order numerical scheme for the two-dimensional sine-Gordon equation	en
heal.type	journalArticle
heal.classification	Επιστήμη
heal.classification	Μαθηματικά
heal.classification	Science
heal.classification	Mathematics
heal.classificationURI	N/A-Επιστήμη
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	http://skos.um.es/unescothes/C03532
heal.classificationURI	http://skos.um.es/unescothes/C02437
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85006190
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85048348
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh86007818
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85124672
heal.identifier.secondary	DOI: 10.1016/j.matcom.2006.11.004
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2007-12-01
heal.bibliographicCitation	Bratsos, A.G. (2007) A third order numerical scheme for the two-dimensional sine-Gordon equation. Mathematics and Computers in Simulation. [Online] 76 (4), pp.271-282. Available from: http://www.scopus.com [Accessed 05/06/2015]	en
heal.abstract	A rational approximant of third order, which is applied to a three-time level recurrence relation, is used to transform the two-dimensional sine-Gordon (SG) equation into a second-order initial-value problem. The resulting nonlinear finite-difference scheme, which is analyzed for stability, is solved by an appropriate predictor-corrector (P-C) scheme, in which the predictor is an explicit one of second order. This scheme is accelerated by using a modification (MPC) in which the already evaluated values are used for the corrector. The behavior of the proposed P-C/MPC schemes is tested numerically on the line and ring solitons known from the bibliography, regarding SG equation and conclusions for both the mentioned schemes regarding the undamped and the damped problem are derived.	en
heal.publisher	Elsevier	en
heal.journalName	Mathematics and Computers in Simulation	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true