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A 6(4) optimized embedded Runge–Kutta–Nyström pair for the numerical solution of periodic problems

✍ Scribed by Anastassi, Z.A.; Kosti, A.A.

Book ID
125960573
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
662 KB
Volume
275
Category
Article
ISSN
0377-0427

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✍ Hans Van de Vyver 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 309 KB

New Runge-Kutta-Nyström methods especially designed for the numerical integration of periodic initial value problems are presented in this paper. They are able to integrate exactly the harmonic oscillator. Here we analyze the construction of an embedded 5(3) RKN pair with four stages. Numerical expe