A finite-difference method for solving the cubic Schrödinger equation

dc.contributor.author	Twizell, E.H.	en
dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.contributor.author	Newby, J.C.	en
dc.date.accessioned	2015-06-05T18:57:06Z
dc.date.available	2015-06-05T18:57:06Z
dc.date.issued	2015-06-05
dc.identifier.uri	http://hdl.handle.net/11400/15190
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.sciencedirect.com/science/article/pii/S0378475496000560	en
dc.subject	Συνοριακές συνθήκες
dc.subject	Προβλήματα συνοριακών τιμών
dc.subject	Σύγκλιση των αριθμητικών μεθόδων
dc.subject	Εξισώσεις διαφορών
dc.subject	Σφάλματα
dc.subject	Boundary conditions
dc.subject	Boundary value problems
dc.subject	Convergence of numerical methods
dc.subject	Difference equations
dc.subject	Errors
dc.title	A finite-difference method for solving the cubic Schrödinger 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/sh85016102
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85037879
heal.identifier.secondary	DOI: 10.1016/S0378-4754(96)00056-0
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	1997-01
heal.bibliographicCitation	Twizell, E.H., Bratsos, A.G. and Newby, J.C. (1997) A finite-difference method for solving the cubic Schrödinger equation. Mathematics and Computers in Simulation. [Online] 43 (1), pp.67-75. Available from: http://www.sciencedirect.com [Accessed 05/06/2015]	en
heal.abstract	A family of finite-difference methods is used to transform the initial/boundary-value problem associated with the nonlinear Schrödinger equation into a first-order, linear, initial-value problem. Numerical methods are developed by replacing the time and space derivatives by central-difference replacements. The resulting finite-difference methods are analysed for local truncation, errors, stability and convergence. The results of a number of numerical experiments are given.	en
heal.publisher	Elsevier	en
heal.journalName	Mathematics and Computers in Simulation	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true