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Title: A P-stable singly diagonally implicit runge–kutta–nystrom method
Authors: Παπαγεωργίου, Γεώργιος
Φαμέλης, Ιωάννης Θ.
Τσίτουρας, Χαράλαμπος
Item type: Journal article
Keywords: Singly diagonally implicit Runge–Kutta–Nystrom;P-stability;Μεμονωμένη σιωπηρή διαγώνια Runge-Kutta-Nystrom;Ρ-σταθερότητα
Subjects: Electronics
Applied mathematics
Εφαρμοσμένα μαθηματικά
Issue Date: 13-Feb-2015
Publisher: [χ.ό.]
Abstract: A five-stage fifth-order singly diagonally implicit Runge–Kutta–Nystr¨om method for the integration of second order differential equations possessing an oscillatory solution, is presented in this article. This method is P-stable, which is recommended for problems with a theoretical solution consisting of a periodic part of moderate frequency with a high frequency oscillation with small amplitude superimposed. It also attains an order which is one higher than existing methods of this type. Numerical comparisons with existing methods of this type show its clear advantage.
Language: English
Citation: Papageorgiou, G., Famelis, I. and Tsitouras, Ch. (1998). A P-stable singly diagonally implicit runge–kutta–nystrom method. Numerical Algorithms. vol. 17. pp 345-353.
Journal: Numerical Algorithms
Type of Journal: With a review process (peer review)
Access scheme: Embargo
License: Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες
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