Symplectic Runge-Kutta-Nystr?m Methods with Phase-Lag Oder 8 and Infinity

Authors

Z. Kalogiratou, Department of Informatics and Computer Technology, Technological Educational Institution of Western Macedonia at Kastoria, Kastoria, P.O. Box. 30, 52100 GreeceFollow
Th. Monovasilis, Department of International Trade, Technological Educational Institution of Western Macedonia at Kastoria, Kastoria, P.O. Box. 30, 52100 GreeceFollow
T. E. Simos, Department of Mathematics, College of Sciences, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia\\ Laboratory of Computational Sciences, Department of Computer Science and Technology, University of Peloponnese, GR-221 00 Tripolis, Greece.Follow

Author Country (or Countries)

Greece.

Abstract

In this work we consider Symplectic Runge Kutta Nystr¨om methods with five stages. A new fourth algebraic order method with phase-lag order eight is presented. Also the symplectic Runge Kutta Nystr¨om of Calvo and Sanz Serna with five stages and fourth order is modified to produce a phase-fitted method. We apply the new methods on several Hamiltonian systems and on the computation of the eigenvalues of the Schr¨odinger Equation.

Recommended Citation

Kalogiratou, Z.; Monovasilis, Th.; and E. Simos, T. (2015) "Symplectic Runge-Kutta-Nystr?m Methods with Phase-Lag Oder 8 and Infinity," Applied Mathematics & Information Sciences: Vol. 09: Iss. 3, Article 2.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss3/2