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A functional fitting Runge-Kutta method with variable coefficients

✍ Scribed by Kazufumi Ozawa


Publisher
Japan Society for Industrial and Applied Mathematics
Year
2001
Tongue
English
Weight
1019 KB
Volume
18
Category
Article
ISSN
0916-7005

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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