A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-05T17:25:56Z
dc.date.available	2015-06-05T17:25:56Z
dc.date.issued	2015-06-05
dc.identifier.uri	http://hdl.handle.net/11400/15168
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-s2.0-33847407493&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=20	en
dc.subject	Μέθοδος των πεπερασμένων διαφορών
dc.subject	προγνωστικός παράγοντας διόρθωσης
dc.subject	Σολιτόνια
dc.subject	Finite differences
dc.subject	Predictor-corrector
dc.subject	Solitons
dc.title	A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation	en
heal.type	journalArticle
heal.classification	Πληροφορική
heal.classification	Μαθηματικά
heal.classification	Computer science
heal.classification	Mathematics
heal.classificationURI	N/A-Πληροφορική
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	http://skos.um.es/unescothes/C00750
heal.classificationURI	http://skos.um.es/unescothes/C02437
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85048348
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85124672
heal.identifier.secondary	DOI: 10.1007/s11075-006-9061-3
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2006-12
heal.bibliographicCitation	Bratsos, A.G. (2006) A modified predictor-corrector scheme for the two-dimensional sine-Gordon equation. Numerical Algorithms. [Online] 43 (4), pp.295-308. Available from: http://www.scopus.com [Accessed 05/06/2015]	en
heal.abstract	A three-time level finite-difference scheme based on a fourth order in time and second order in space approximation has been proposed for the numerical solution of the nonlinear two-dimensional sine-Gordon equation. The method, which is analysed for local truncation error and stability, leads to the solution of a nonlinear system. To avoid solving it, a predictor-corrector scheme using as predictor a second-order explicit scheme is proposed. The procedure of the corrector has been modified by considering as known the already evaluated corrected values instead of the predictor ones. This modified scheme has been tested on the line and circular ring soliton and the numerical experiments have proved that there is an improvement in the accuracy over the standard predictor-corrector implementation.	en
heal.publisher	Kluwer Academic Publishers-Plenum Publishers	en
heal.journalName	Numerical Algorithms	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true