Construction of Exponentially Fitted Symplectic Runge-Kutta-Nystr?m Methods from Partitioned Runge-Kutta Methods

Authors

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

Author Country (or Countries)

52100 Greece.

Abstract

In this work we derive exponentially fitted symplectic Runge-Kutta-Nystr¨om (RKN) methods from symplectic exponentially fitted partitioned Runge-Kutta (PRK) methods methods. We construct RKN methods from PRK methods with up to five stages and fourth algebraic order.

Recommended Citation

Monovasilis, Th.; Kalogiratou, Z.; and E. Simos, T. (2015) "Construction of Exponentially Fitted Symplectic Runge-Kutta-Nystr?m Methods from Partitioned Runge-Kutta Methods," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 30.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/30