Quadratic SDIRK pair for treating chemical reaction problems

dc.contributor.author	Τσίτουρας, Χαράλαμπος	el
dc.contributor.author	Φαμέλης, Ιωάννης Θ.	el
dc.date.accessioned	2015-02-14T09:14:31Z
dc.date.available	2015-02-14T09:14:31Z
dc.date.issued	2015-02-14
dc.identifier.uri	http://hdl.handle.net/11400/6191
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://users.ntua.gr/	en
dc.subject	Initial value problem
dc.subject	Stiffness
dc.subject	Πρόβλημα αρχικών τιμών
dc.subject	Ακαμψία
dc.title	Quadratic SDIRK pair for treating chemical reaction problems	en
heal.type	journalArticle
heal.classification	Mathematics
heal.classification	Applied mathematics
heal.classification	Μαθηματικά
heal.classification	Εφαρμοσμένα μαθηματικά
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85082139
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh93002523
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	N/A-Εφαρμοσμένα μαθηματικά
heal.identifier.secondary	ISSN 0340-6253
heal.language	en
heal.access	campus
heal.recordProvider	Τ.Ε.Ι. Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ηλεκτρονικών Μηχανικών Τ.Ε.	el
heal.publicationDate	2008
heal.bibliographicCitation	Tsitouras, Ch. and Famelis, I. (2008). Quadratic SDIRK pair for treating chemical reaction problems. MATCH-Communications in mathematical and in computer chemistry. 60(3). pp 697-710. Available from: http://users.ntua.gr/	en
heal.abstract	Most of the chemical reactions are modelled as initial value problems (IVP) where the derivative can be expressed as a quadratic function of the dependent variable. Some of the variables in these IVPs change rapidly as time progresses, whereas others vary very slowly, indicating the presence of stiffness. Singly Diagonal Implicit Runge–Kutta (SDIRK) pairs possess an interesting alternative for dealing with such problem. Software SDIRK4 applies a five stage pair SDIRK method of accuracy orders 4(3). In this paper by exploiting the presence of quadratic property, we derive a 5(3) order pair SDIRK methods at the same cost. Numerical results over well known chemical kinetics problems justify our effort.	en
heal.publisher	[χ.ό.]	el
heal.journalName	MATCH-Communications in mathematical and in computer chemistry	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true