Modified Runge-Kutta-Nystrom Phase-fitted Methods

5 Modified Runge-Kutta-Nystrom Phase-fitted Methods. - Simos et al. have considered a modified four-stage explicit Rxmge-Kutta-Nystrom method presented in Table 14. The free parameter 3 is determined in order that the method has phase-lag of order infinity (see ref. 6 for more details on phase-lag analysis of Runge-Kutta-Nystrom methods). 

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In [15], [26], [32], [59]-[60], [72] some modified Runge-Kutta or Runge-Kutta-Nystrom methods are constructed. The modification is based on exponential and trigonometric fitting or phase-fitting property. 

Table 14 The modified four-stage explicit phase-fitted Runge-Kutta-Nystrom method of Simos et al.

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