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A new modified embedded 5(4) pair of explicit Runge–Kutta methods for the numerical solution of the Schrödinger equation

✍ Scribed by Shiwei Liu, Juan Zheng, Yonglei Fang

Book ID
120721022
Publisher
Springer
Year
2012
Tongue
English
Weight
389 KB
Volume
51
Category
Article
ISSN
0259-9791

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New modified Runge–Kutta–Nyström methods
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✍ 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