Classical and quasi-newton methods for a meteorological parameters prediction boundary value problem

dc.contributor.author	Φαμέλης, Ιωάννης Θ.	el
dc.contributor.author	Γαλάνης, Γεώργιος Ν.	el
dc.contributor.author	Ehrhardt, Matthias	en
dc.contributor.author	Τριανταφύλλου, Δημήτριος	el
dc.date.accessioned	2015-06-07T10:09:38Z
dc.date.issued	2015-06-07
dc.identifier.uri	http://hdl.handle.net/11400/15443
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://www.naturalspublishing.com/	en
dc.subject	Boundary value problem
dc.subject	Finite differences
dc.subject	Information geometry
dc.subject	Newton method
dc.subject	Numerical solution of nonlinear systems
dc.subject	Quasi newton methods
dc.subject	Sparse matrix
dc.subject	Πρόβλημα οριακής τιμής
dc.subject	Πεπερασμένες διαφορές
dc.subject	Πληροφορίες γεωμετρίας
dc.subject	Αριθμητική επίλυση μη γραμμικών συστημάτων
dc.title	Classical and quasi-newton methods for a meteorological parameters prediction boundary value problem	en
heal.type	journalArticle
heal.classification	Science
heal.classification	Physics
heal.classification	Επιστήμη
heal.classification	Φυσική
heal.classificationURI	http://zbw.eu/stw/descriptor/15685-2
heal.classificationURI	http://zbw.eu/stw/descriptor/15669-0
heal.classificationURI	N/A-Επιστήμη
heal.classificationURI	N/A-Φυσική
heal.keywordURI	http://id.loc.gov/authorities/subjects/sh85048348
heal.identifier.secondary	DOI: 10.12785/amis/080604
heal.dateAvailable	10000-01-01
heal.language	en
heal.access	forever
heal.publicationDate	2014
heal.bibliographicCitation	FAMELIS, I.T., GALANIS, G.N., EHRHARDT, M. & TRIANTAFYLLOY, D. (2014). Classical and quasi-newton methods for a meteorological parameters prediction boundary value problem. Applied Mathematics and Information Sciences. [online] 8 (6). p. 2683-2693. Available from: http://www.naturalspublishing.com/	en
heal.abstract	We study the numerical solution of a Boundary Value problem for second order quadratic differential equations which arises in the numerical prediction of meteorological parameters. In the present work, we use finite differences and focus on the numerical solution of the resulting nonlinear system. More precisely, we apply classical Newton's and Quasi-Newton methods paying attention to the special sparse form of the Jacobian matrix and modify appropriately the LU factorization in order to reduce significantly the required floating point operations. Furthermore, we implement and study in depth the behavior of all the proposed procedures in respect of their accuracy, stability and complexity, using data from South East Mediterranean Sea. All the methods are tested with a variety of initial values and their performance is presented and discussed leading to interesting results on the sensitivity of the selected starting point.	en
heal.publisher	Natural Sciences Publishing Cor.	en
heal.journalName	Applied Mathematics and Information Sciences	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	false