High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems

Tsitouras, Ch; Simos, TE

dc.contributor.author	Tsitouras, Ch	en
dc.contributor.author	Simos, TE	en
dc.date.accessioned	2014-03-01T01:17:57Z
dc.date.available	2014-03-01T01:17:57Z
dc.date.issued	2002	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14723
dc.subject	High-order explicit methods	en
dc.subject	Interval of periodicity	en
dc.subject	Oscillating solutions	en
dc.subject	Phase-lag	en
dc.subject	Second-order differential equations	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	INITIAL-VALUE-PROBLEMS	en
dc.subject.other	RUNGE-KUTTA METHODS	en
dc.subject.other	NOUMEROV-TYPE METHOD	en
dc.subject.other	NUMERICAL-INTEGRATION	en
dc.subject.other	SCHRODINGER-EQUATION	en
dc.subject.other	EXPLICIT	en
dc.subject.other	FORMULAS	en
dc.title	High algebraic, high phase-lag order embedded Numerov-type methods for oscillatory problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0096-3003(01)00133-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0096-3003(01)00133-3	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	An embedded Numerov-type method of algebraic order eight with phase-lag orders 10-20 for the numerical integration of second-order periodic initial-value problems is developed in this paper. The method has 10 stages. An error estimation, based on varying the phase-lag order, is introduced and an embedded technique is described. Each method of the embedded pair has a large interval of periodicity. Theoretical evidence and numerical and theoretical results obtained for several well-known problems show the efficiency of the new methods. (C) 2002 Elsevier Science Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/S0096-3003(01)00133-3	en
dc.identifier.isi	ISI:000177193300016	en
dc.identifier.volume	131	en
dc.identifier.issue	1	en
dc.identifier.spage	201	en
dc.identifier.epage	211	en