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