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Comments on “Embedded pair of extended Runge–Kutta–Nyström type methods for perturbed oscillators”

✍ Scribed by Xinyuan Wu; Bin Wang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
210 KB
Volume
34
Category
Article
ISSN
0307-904X

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A 5(3) pair of explicit Runge–Kutta–Nyst
A 5(3) pair of explicit Runge–Kutta–Nyström methods for oscillatory problems
✍ 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