Explicit high order methods for the numerical integration of periodic initial-value problems

Tsitouras, Ch; Simos, TE

dc.contributor.author	Tsitouras, Ch	en
dc.contributor.author	Simos, TE	en
dc.date.accessioned	2014-03-01T01:13:45Z
dc.date.available	2014-03-01T01:13:45Z
dc.date.issued	1998	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12702
dc.subject	Explicit methods	en
dc.subject	High-order method	en
dc.subject	Interval of periodicity	en
dc.subject	Orbital problems	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	MINIMAL PHASE-LAG	en
dc.subject.other	SCHRODINGER-EQUATION	en
dc.subject.other	FORMULAS	en
dc.title	Explicit high order methods for the numerical integration of periodic initial-value problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0096-3003(97)10086-8	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0096-3003(97)10086-8	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	Two explicit two-step hybrid methods of order 7 and 8 for the numerical integration of second order periodic initial-value problems are developed in this paper. The first of them has a large interval of periodicity and the other a minimal phase-lag. Each of them has seven stages per iteration. Numerical and theoretical results obtained for several well-known problems show the efficiency of the new methods. (C) 1998 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(97)10086-8	en
dc.identifier.isi	ISI:000074533200002	en
dc.identifier.volume	95	en
dc.identifier.issue	1	en
dc.identifier.spage	15	en
dc.identifier.epage	26	en