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

Tsitouras, Ch

dc.contributor.author	Tsitouras, Ch	en
dc.date.accessioned	2014-03-01T01:18:59Z
dc.date.available	2014-03-01T01:18:59Z
dc.date.issued	2003	en
dc.identifier.issn	00963003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15304
dc.subject	Dissipation	en
dc.subject	Explicit Numerov methods	en
dc.subject	Periodic ODEs	en
dc.subject	Phase lag	en
dc.subject	Sixth algebraic order	en
dc.subject.other	Algebra	en
dc.subject.other	Computer simulation	en
dc.subject.other	Initial value problems	en
dc.subject.other	Integration	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Oscillations	en
dc.subject.other	Problem solving	en
dc.subject.other	Quantum theory	en
dc.subject.other	Phase-lag order methods	en
dc.subject.other	Two-step methods	en
dc.subject.other	Computational methods	en
dc.title	Families of explicit two-step methods for integration of problems with oscillating solutions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0096-3003(01)00322-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0096-3003(01)00322-8	en
heal.publicationDate	2003	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. © 2002 Elsevier Science Inc. All rights reserved.	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/S0096-3003(01)00322-8	en
dc.identifier.volume	135	en
dc.identifier.issue	1	en
dc.identifier.spage	169	en
dc.identifier.epage	178	en