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A Runge-Kutta Nyström algorithm

✍ Scribed by D. G. Bettis


Publisher
Springer Netherlands
Year
1973
Tongue
English
Weight
349 KB
Volume
8
Category
Article
ISSN
1572-9478

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A phase-fitted collocation-based Runge–K
✍ B. Paternoster 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 275 KB

We consider collocation-based Runge-Kutta-Nyström methods with symmetric points and derive a three-stage method which results exact in phase for second order linear ODEs having a periodic or an oscillatory solution. We assume that the dominant frequency k can be estimated in advance; then the result