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Trigonometrically fitted fifth-order runge-kutta methods for the numerical solution of the schrödinger equation

✍ Scribed by Z.A. Anastassi; T.E. Simos


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
483 KB
Volume
42
Category
Article
ISSN
0895-7177

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New modified Runge–Kutta–Nyström methods
✍ 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