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.
Monovasilis, Th.; Kalogiratou, Z.; and E. Simos, T.
"Construction of Exponentially Fitted Symplectic Runge-Kutta-Nystr?m Methods from Partitioned Runge-Kutta Methods,"
Applied Mathematics & Information Sciences: Vol. 09
, Article 30.
Available at: https://dc.naturalspublishing.com/amis/vol09/iss4/30