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The performance of phase-lag enhanced explicit Runge–Kutta Nyström pairs on -body problems

✍ Scribed by P.W. Sharp; J.C. Castillo-Rogez; K.R. Grazier


Book ID
113511824
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
350 KB
Volume
236
Category
Article
ISSN
0377-0427

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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