Explicit two-step methods for second-order linear IVPs

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	0898-1221	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14694
dc.subject	Hybrid Numerov methods	en
dc.subject	Initial value problem	en
dc.subject	Numerical solution	en
dc.subject	Semidiscretization of PDEs	en
dc.subject	Wave equation	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Integration	en
dc.subject.other	Interpolation	en
dc.subject.other	Problem solving	en
dc.subject.other	Wave equations	en
dc.subject.other	Hybrid numerov methods	en
dc.subject.other	Initial value problems	en
dc.title	Explicit two-step methods for second-order linear IVPs	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0898-1221(02)80004-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0898-1221(02)80004-9	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	We present a new type of method for the integration of systems of linear inhomogeneous initial value problems with constant coefficients. Our methods are of hybrid explicit Numerov type. The methods are constructed without the intermediate use of high accuracy interpolatory nodes, since only the Taylor expansion at the internal points is needed. Then we derive the order conditions taking advantage of the special structure of the problem considered. We present a method with algebraic order seven at a cost of only four stages per step. Numerical results over some linear problems, especially arising from the semidiscretization of the wave equation, indicate the superiority of the new method. (C) 2002 Elsevier Science Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Mathematics with Applications	en
dc.identifier.doi	10.1016/S0898-1221(02)80004-9	en
dc.identifier.isi	ISI:000174975300003	en
dc.identifier.volume	43	en
dc.identifier.issue	8-9	en
dc.identifier.spage	943	en
dc.identifier.epage	949	en