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Construction of explicit symmetric and symplectic methods of Runge–Kutta–Nyström type for solving perturbed oscillators

✍ Scribed by J.M. Franco; I. Gómez


Book ID
119187053
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
619 KB
Volume
219
Category
Article
ISSN
0096-3003

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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