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A new embedded 5(3) pair of modified Runge–Kutta–Nyström methods for the numerical solution of the Schrödinger equation

✍ Scribed by Liu, Shiwei; Zheng, Juan; Fang, Yonglei

Book ID
121533554
Publisher
Springer
Year
2014
Tongue
English
Weight
487 KB
Volume
52
Category
Article
ISSN
0259-9791

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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