Runge-Kutta pairs for periodic initial value problems

Papageorgiou, G; Tsitouras, Ch; Papakostas, SN

dc.contributor.author	Papageorgiou, G	en
dc.contributor.author	Tsitouras, Ch	en
dc.contributor.author	Papakostas, SN	en
dc.date.accessioned	2014-03-01T01:09:32Z
dc.date.available	2014-03-01T01:09:32Z
dc.date.issued	1993	en
dc.identifier.issn	0010-485X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11058
dc.subject	AMS Subject Classification: 65L05	en
dc.subject	dispersion order	en
dc.subject	error estimation	en
dc.subject	hyperbolic equations	en
dc.subject	periodic initial value problems	en
dc.subject	phaselag	en
dc.subject	Runge-Kutta	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.other	PHASE-LAG	en
dc.subject.other	INTEGRATION	en
dc.subject.other	EQUATIONS	en
dc.title	Runge-Kutta pairs for periodic initial value problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF02243849	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF02243849	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	We study the relative merits of the phase-lag property of Runge-Kutta pairs and we propose new explicit embedded pairs for the numerical solution of first order differential systems with periodical solution. We analyze two families of 5(4) paris and one family of 6(5) pairs with respect to the attainable phase-lag order. From each family we choose a pair with the highest achievable phase-lag order, optimized with respect to a measure of the magnitude of its truncation error coefficients. The new 5(4) algebraic order pairs are of phase-lag order 8(4) and 8(6) and they are both non-dissipative, while the 6(5) pair is dissipative and of phase-lag order 10(6). The new pairs exhibit an improved performance, in comparison with other currently known general and special purpose methods, when they are applied to semidiscretized hyperbolic equations and problems describing free and weakly forced oscillations. © 1993 Springer-Verlag.	en
heal.publisher	Springer-Verlag	en
heal.journalName	Computing	en
dc.identifier.doi	10.1007/BF02243849	en
dc.identifier.isi	ISI:A1993MJ78300005	en
dc.identifier.volume	51	en
dc.identifier.issue	2	en
dc.identifier.spage	151	en
dc.identifier.epage	163	en