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An explicit Runge-Kutta (RK) or Runge-Kutta-Nystrom (RKN) method, for the numerical approximation of the initial value problem, can be expanded by the addition of a dense formula which provides solutions at points within or outside the normal step intervals. In this paper, we are concerned with the construction of continuous extensions for RK and RKN methods, intended to approximate first- and...
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