Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrödinger equation

Simos, TE; Raptis, AD

dc.contributor.author	Simos, TE	en
dc.contributor.author	Raptis, AD	en
dc.date.accessioned	2014-03-01T01:08:00Z
dc.date.available	2014-03-01T01:08:00Z
dc.date.issued	1990	en
dc.identifier.issn	0010-485X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10248
dc.subject	AMS Subject Classification: 65L05	en
dc.subject	phase-lag	en
dc.subject	resonance problem	en
dc.subject	Schrödinger equation	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.other	Numerical Integration	en
dc.subject.other	Schrodinger Equation	en
dc.subject.other	Mathematical Techniques	en
dc.title	Numerov-type methods with minimal phase-lag for the numerical integration of the one-dimensional Schrödinger equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02247883	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02247883	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	Three Numerov-type methods with phase-lag of order eight and ten are developed for the numerical integration of the one-dimensional Schrödinger equation. One has a large interval of periodicity and the other two are P-stable. Extensive numerical testing on the resonance problem indicates that these new methods are generally more accurate than other previously developed finite difference methods for this problem. © 1990 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computing	en
dc.identifier.doi	10.1007/BF02247883	en
dc.identifier.isi	ISI:A1990EC79500007	en
dc.identifier.volume	45	en
dc.identifier.issue	2	en
dc.identifier.spage	175	en
dc.identifier.epage	181	en