Explicit Runge-Kutta pairs appropriate for engineering applications

Tsitouras, Ch

dc.contributor.author	Tsitouras, Ch	en
dc.date.accessioned	2014-03-01T01:17:54Z
dc.date.available	2014-03-01T01:17:54Z
dc.date.issued	2002	en
dc.identifier.issn	0307-904X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14693
dc.subject	Oscillatory initial value problems	en
dc.subject	Pairs of embedded methods	en
dc.subject	Phase-lag	en
dc.subject	Plate deflection	en
dc.subject	Runge-Kutta	en
dc.subject	Vibratory systems	en
dc.subject	Wave equation	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Approximation theory	en
dc.subject.other	Differential equations	en
dc.subject.other	Numerical analysis	en
dc.subject.other	Oscillations	en
dc.subject.other	Wave equations	en
dc.subject.other	Vibratory systems	en
dc.subject.other	Runge Kutta methods	en
dc.subject.other	mathematical method	en
dc.title	Explicit Runge-Kutta pairs appropriate for engineering applications	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0307-904X(01)00042-7	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0307-904X(01)00042-7	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	Runge-Kutta (RK) pairs of orders seven and five with minimal phase lag are derived for the numerical approximation of ordinary differential equations with engineering applications. For a class of initial value problems, whose solution is known to be described by free oscillations or free oscillations of high frequency with forced oscillations of low frequency superimposed, the new pair seem to offer clear advantages with respect to older pairs. The new pair is much more efficient than methods using the same number of stages, when applied in some problems of the plate deflection, the wave equation or vibratory systems. (C) 2002 Elsevier Science Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematical Modelling	en
dc.identifier.doi	10.1016/S0307-904X(01)00042-7	en
dc.identifier.isi	ISI:000172931800006	en
dc.identifier.volume	26	en
dc.identifier.issue	1	en
dc.identifier.spage	77	en
dc.identifier.epage	88	en