A modified explicit numerical scheme for the two-dimensional sine-Gordon equation

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-05T16:36:46Z
dc.date.available	2015-06-05T16:36:46Z
dc.date.issued	2015-06-05
dc.identifier.uri	http://hdl.handle.net/11400/15153
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-s2.0-42949130581&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=13	en
dc.subject	Προβλήματα αρχικών τιμών
dc.subject	Μοντέλο πρόβλεψης ελέγχου
dc.subject	Αριθμητικά πειράματα
dc.subject	Αριθμητικό σύστημα
dc.subject	προγνωστικός παράγοντας διόρθωσης
dc.subject	Initial value problems
dc.subject	Predictive control
dc.subject	Numerical experiments
dc.subject	Numerical scheme
dc.subject	Predictor corrector
dc.title	A modified explicit numerical scheme for the two-dimensional sine-Gordon equation	en
heal.type	journalArticle
heal.classification	Μαθηματικά
heal.classification	Εφαρμοσμένα μαθηματικά
heal.classification	Mathematics
heal.classification	Applied mathematics
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	N/A-Εφαρμοσμένα μαθηματικά
heal.classificationURI	http://skos.um.es/unescothes/C02437
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh93002523
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85066415
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh92000169
heal.identifier.secondary	DOI: 10.1080/00207160701417415
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2008-02
heal.bibliographicCitation	Bratsos, A.G. (2008) A modified explicit numerical scheme for the two-dimensional sine-Gordon equation. International Journal of Computer Mathematics. [Online] 85 (2), pp.241-252. Available from: http://www.scopus.com [Accessed 05/06/2015]	en
heal.abstract	A fourth-order rational approximant to the matrix-exponential term in a three-time-level recurrence relation is used to transform the two-dimensional sine-Gordon equation into a second-order initial-value problem. The resulting nonlinear system is solved using an appropriate predictor-corrector (P-C) scheme in which the predictor is an explicit one of second order. The procedure of the corrector is accelerated by using a modification (MPC) in which the already evaluated values are used for the corrector. Both the nonlinear method and the predictor-corrector are analysed for local truncation error and stability. The MPC scheme has been tested on line and circular ring solitons known from the literature, and numerical experiments have proved that there is an improvement in accuracy over the standard predictor-corrector implementation.	en
heal.publisher	Taylor & Francis	en
heal.journalName	International Journal of Computer Mathematics	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true