Abstract:Abstract. We consider two step Runge-Kutta-Nyström methods for the numerical integration of y = f (x, y) having periodic or oscillatory solutions. We assume that the frequency ω can be estimated in advance. Using the linear stage representation, we describe how to derive two step Runge-Kutta-Nyström methods which integrate trigonometric and mixed polynomials exactly. The resulting methods depend on the parameter ν = ωh, where h is the stepsize.
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