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A note on stability of multidimensional adapted Runge–Kutta–Nyström methods for oscillatory systems

✍ Scribed by Wu, Xinyuan


Book ID
119191511
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
418 KB
Volume
36
Category
Article
ISSN
0307-904X

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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