Optimized Runge-Kutta pairs for problems with oscillating solutions

Tsitouras, Ch; Simos, TE

dc.contributor.author	Tsitouras, Ch	en
dc.contributor.author	Simos, TE	en
dc.date.accessioned	2014-03-01T01:18:10Z
dc.date.available	2014-03-01T01:18:10Z
dc.date.issued	2002	en
dc.identifier.issn	0377-0427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14842
dc.subject	Dissipation	en
dc.subject	Initial value problem	en
dc.subject	Numerical solution	en
dc.subject	Phase-lag	en
dc.subject	Variable step	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Initial value problems	en
dc.subject.other	Integration	en
dc.subject.other	Optimization	en
dc.subject.other	Poles and zeros	en
dc.subject.other	Runge Kutta methods	en
dc.subject.other	Oscillating problems	en
dc.subject.other	Computational methods	en
dc.subject.other	mathematical method	en
dc.title	Optimized Runge-Kutta pairs for problems with oscillating solutions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0377-0427(02)00475-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0377-0427(02)00475-2	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	Three types of methods for integrating periodic initial value problems are presented. These methods are (i) phase-fitted, (ii) zero dissipation (iii) both zero dissipative and phase fitted. Some particular modifications of well-known explicit Runge-Kutta pairs of orders five and four are constructed. Numerical experiments show the efficiency of the new pairs in a wide range of oscillatory problems. (C) 2002 Elsevier Science B.V. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	Journal of Computational and Applied Mathematics	en
dc.identifier.doi	10.1016/S0377-0427(02)00475-2	en
dc.identifier.isi	ISI:000178713100010	en
dc.identifier.volume	147	en
dc.identifier.issue	2	en
dc.identifier.spage	397	en
dc.identifier.epage	409	en