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Explicit parallel two-step Runge-Kutta-Nyström methods

✍ Scribed by N.h. Cong


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
665 KB
Volume
32
Category
Article
ISSN
0898-1221

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A 5(3) pair of explicit Runge–Kutta–Nyst
✍ 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