Families of explicit two-step methods for integration of problems with oscillating solutions

Tsitouras, C

dc.contributor.author	Tsitouras, C	en
dc.date.accessioned	2014-03-01T01:52:05Z
dc.date.available	2014-03-01T01:52:05Z
dc.date.issued	2002	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/26555
dc.subject	explicit Numerov methods	en
dc.subject	periodic ODEs	en
dc.subject	phase lag	en
dc.subject	dissipation	en
dc.subject	sixth algebraic order	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	INITIAL-VALUE-PROBLEMS	en
dc.subject.other	MINIMAL PHASE-LAG	en
dc.subject.other	NOUMEROV-TYPE METHOD	en
dc.subject.other	NUMERICAL-INTEGRATION	en
dc.subject.other	ORDER METHODS	en
dc.subject.other	RUNGE-KUTTA	en
dc.title	Families of explicit two-step methods for integration of problems with oscillating solutions	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	We study a new sixth algebraic order, explicit Numerov-type family of methods. Using every free parameter of the family, even its nodes, we manage to derive two methods. The first with phase-lag of order 12, while the other method has one stage less. This is a considerable improvement over the 10th order phase-lag order methods found in the literature until now. Numerical experiments confirm the superiority of our new methods over older 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.isi	ISI:000178888700014	en
dc.identifier.volume	135	en
dc.identifier.issue	1	en
dc.identifier.spage	169	en
dc.identifier.epage	178	en