Exponentially Fitted Symplectic Runge-Kutta-Nystr ¨om methods

Authors

Th. Monovasilis, Department of International Trade, Technological Educational Institution of Western Macedonia at Kastoria, Kastoria, Greece
Z. Kalogiratou
T.E. Simos

Author Country (or Countries)

Greece

Abstract

In this work we consider symplectic Runge Kutta Nystr¨om (SRKN) methods with three stages. We construct a fourth order SRKN with constant coefficients and a trigonometrically fitted SRKN method. We apply the new methods on the two-dimentional harmonic oscillator, the Stiefel-Bettis problem and on the computation of the eigenvalues of the Schr¨odinger equation.

Suggested Reviewers

N/A

Recommended Citation

Monovasilis, Th.; Kalogiratou, Z.; and Simos, T.E. (2013) "Exponentially Fitted Symplectic Runge-Kutta-Nystr ¨om methods," Applied Mathematics & Information Sciences: Vol. 07: Iss. 1, Article 8.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol07/iss1/8