The present paper develops a theory of Natural Continuous Extensions (NCEs) for the discrete approximate solution of an ODE given by a Runge-Kutta process. These NCEs are defined in such a way that the continuous solutions furnished by the one-step collocation methods are included.

Natural continuous extensions of Runge-Kutta methods

ZENNARO, MARINO
1986-01-01

Abstract

The present paper develops a theory of Natural Continuous Extensions (NCEs) for the discrete approximate solution of an ODE given by a Runge-Kutta process. These NCEs are defined in such a way that the continuous solutions furnished by the one-step collocation methods are included.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/1703220
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