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A symplectic exponentially fitted modified Runge–Kutta–Nyström method for the numerical integration of orbital problems

✍ Scribed by Hans Van de Vyver

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
244 KB
Volume
10
Category
Article
ISSN
1384-1076

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✦ Synopsis

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.

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New modified Runge–Kutta–Nyström methods
New modified Runge–Kutta–Nyström methods for the numerical integration of the Schrödinger equation
✍ Z. Kalogiratou; Th. Monovasilis; T.E. Simos 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 276 KB

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