%0 Journal Article
%T A Phase-Fitted Runge-Kutta-Nystr£¿m method for the Numerical Solution of Initial Value Problems with Oscillating Solutions
%A D. F. Papadopoulos
%A Z. A. Anastassi
%A T. E. Simos
%J Mathematics
%D 2008
%I arXiv
%R 10.1016/j.cpc.2009.05.014
%X A new Runge-Kutta-Nystr\"om method, with phase-lag of order infinity, for the integration of second-order periodic initial-value problems is developed in this paper. The new method is based on the Dormand and Prince Runge-Kutta-Nystr\"om method of algebraic order four\cite{pa}. Numerical illustrations indicate that the new method is much more efficient than the classical one.
%U http://arxiv.org/abs/0811.2481v1