Runge-Kutta-Nyström interpolants for the numerical integration of special second-order periodic initial-value problems
✍ Scribed by T.E. Simos
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 614 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0898-1221
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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
Several methods have been developed for the solution of (1) belonging to Category I. We mention the works of An eighth-order P-stable two-step method for the numerical integration of second-order periodic initial-value problems is developed Raptis and Allison [5], Cash, in this paper. This method ha