{"id":{"repo_id":"greece","oai_identifier":"oai:10442/1505"},"canonical_url":"https://search.dev.ndltd.org/etd/greece/oai:10442/1505","repository":{"repo_id":"greece","name":"Greek National Archive of PhD Theses","base_url":"https://phdtheses.ekt.gr/eadd_oai/request"},"display":{"title":"Συνεχείς επεκτάσεις μεθόδων Runge-Kutta για προβλήματα αρχικών τιμών","abstract":"In this dissertation we examine methods in order to produce continuous extensions of Runge-Kutta algorithms when solving initial value problems. We consider two ways (I) scaling (II) interpolation. The same extension was done for Runge-Kutta-Nystrom methods for initial value problem of second class.","abstract_html":"In this dissertation we examine methods in order to produce continuous extensions of Runge-Kutta algorithms when solving initial value problems. We consider two ways (I) scaling (II) interpolation. 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We consider two ways (I) scaling (II) interpolation. The same extension was done for Runge-Kutta-Nystrom methods for initial value problem of second class.","Στην διατριβή αυτή εξετάζονται μέθοδοι για την κατασκευή συνεχών λύσεων σε πρόβλημα αρχικών τιμών α΄ τάξης έπειτα από την διακριτή προσέγγισή της με μια μέθοδο Runge-Kutta. Οι μέθοδοι αυτές είναι δύο ειδών το scaling και η παρεμβολή. Η ίδια εργασία επεκτάθηκε για μεθόδους Runge-Kutta-Nystrom σε προβλήματα αρχικών τιμών 2ης τάξης."]},{"key":"dc:title","label":"Title","values":["Συνεχείς επεκτάσεις μεθόδων Runge-Kutta για προβλήματα αρχικών τιμών"]}]}],"canonical_facts":{"dc:creator":["Tsitouras, Charalambos","Τσίτουρας, Χαράλαμπος"],"dc:date":["1990"],"dc:description":["In this dissertation we examine methods in order to produce continuous extensions of Runge-Kutta algorithms when solving initial value problems. We consider two ways (I) scaling (II) interpolation. The same extension was done for Runge-Kutta-Nystrom methods for initial value problem of second class.","Στην διατριβή αυτή εξετάζονται μέθοδοι για την κατασκευή συνεχών λύσεων σε πρόβλημα αρχικών τιμών α΄ τάξης έπειτα από την διακριτή προσέγγισή της με μια μέθοδο Runge-Kutta. Οι μέθοδοι αυτές είναι δύο ειδών το scaling και η παρεμβολή. Η ίδια εργασία επεκτάθηκε για μεθόδους Runge-Kutta-Nystrom σε προβλήματα αρχικών τιμών 2ης τάξης."],"dc:identifier":["10.12681/eadd/1505","http://hdl.handle.net/10442/hedi/1505"],"dc:language":["gre"],"dc:publisher":["National Technical University of Athens (NTUA)","Εθνικό Μετσόβιο Πολυτεχνείο (ΕΜΠ)"],"dc:subject":["Αριθμητική ανάλυση","Παρεμβολή","Πρόβλημα αρχικών τιμών","Initial value problem","Interpolation","Numerical analysis","Runge-Kutta method","Scaling","Φυσικές Επιστήμες","Μαθηματικά","Natural Sciences","Mathematics"],"dc:title":["Συνεχείς επεκτάσεις μεθόδων Runge-Kutta για προβλήματα αρχικών τιμών"],"dc:type":["PhD Thesis"]},"updated_at":"2026-07-24T02:24:59Z"}