On the numerical integration of orbital problems with high order Runge–Kutta–Nyström methods
✍ Scribed by Ana B. González; Pablo Martı́n; David J. López
- Book ID
- 108415973
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 106 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0168-9274
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📜 SIMILAR VOLUMES
A symplectic exponentially fitted modified Runge-Kutta-Nystro ¨m method is derived in this paper. It is a two-stage second-order method with FSAL-property. An application to some well known orbital problems shows the properties of the developed method.
In this work we construct new Runge-Kutta-Nyström methods especially designed to integrate exactly the test equation y = -w 2 y. We modify two existing methods: the Runge-Kutta-Nyström methods of fifth and sixth order. We apply the new methods to the computation of the eigenvalues of the Schrödinger