High-order explicit Runge-Kutta pair for initial value problems with oscillating solutions

Tsitouras, C

dc.contributor.author	Tsitouras, C	en
dc.date.accessioned	2014-03-01T01:14:18Z
dc.date.available	2014-03-01T01:14:18Z
dc.date.issued	1999	en
dc.identifier.issn	0898-1221	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12989
dc.subject	periodic ODEs	en
dc.subject	amplification error	en
dc.subject	dissipation error	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Error analysis	en
dc.subject.other	Initial value problems	en
dc.subject.other	Ordinary differential equations	en
dc.subject.other	Problem solving	en
dc.subject.other	Oscillating solutions	en
dc.subject.other	Runge Kutta methods	en
dc.title	High-order explicit Runge-Kutta pair for initial value problems with oscillating solutions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0898-1221(99)00074-7	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0898-1221(99)00074-7	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	A new Runge-Kutta-pair of orders eight and seven is presented here. The proposed pair when applied with small step-size to the test equation dy/dx == i omega y, omega real, has amplification factors very near to unit. This is very important then, because the numerical solution stays close to the cyclic solution of the test problem. Numerical tests over a set of problems with oscillating solutions demonstrate the superiority of the new pair. (C) 1999 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	Elsevier Science Ltd	en
heal.journalName	Computers and Mathematics with Applications	en
dc.identifier.doi	10.1016/S0898-1221(99)00074-7	en
dc.identifier.isi	ISI:000079298700004	en
dc.identifier.volume	37	en
dc.identifier.issue	6	en
dc.identifier.spage	31	en
dc.identifier.epage	36	en