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Title: Phase-Fitted modified Runge-Kutta pairs of orders 6(5)
Authors: Τσίτουρας, Χαράλαμπος
Φαμέλης, Ιωάννης Θ.
Item type: Conference publication
Conference Item Type: Full Paper
Keywords: Initial value problem;Order conditions;Πρόβλημα αρχικών τιμών;Συνθήκες προκειμένου
Subjects: Electronics
Applied mathematics
Εφαρμοσμένα μαθηματικά
Issue Date: 12-Feb-2015
Publisher: Wiley-VCH Verlag GmbH & Co. KGaA
Abstract: Modified Runge-Kutta methods are well suited for fulfilling properties that require coefficients depending on step-length. By a simple perturbation of very few coefficients we may produce various function-fitted methods and avoid the overhead of evaluating all of them in every step. In this paper we present the formula of determining the extra algebraic equations of condition generated by the major subcategory of these methods. Also phase-lag and phase-fitted properties are analyzed for this case. Finally a specific phase-fitted pair of orders 6(5) is given.
Description: ICNAAM – 2006 Extended Abstracts
Language: English
Citation: Tsitouras, Ch. and Famelis, I. (2006). Phase-Fitted modified Runge-Kutta pairs of orders 6(5). In the International Conference of Numerical Analysis and Applied Mathematics. Wiley-VCH Verlag GmbH & Co. KGaA: 2006. pp. 1962-1965.
Conference: International Conference of Numerical Analysis and Applied Mathematics
Access scheme: Embargo
License: Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες
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