Natural continuous extensions of Runge-Kutta methods

Marino Zennaro

Type: Article

Publication Date: 1986-01-01

Citations: 178

DOI: https://doi.org/10.1090/s0025-5718-1986-0815835-1

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.

Locations

Mathematics of Computation - View - PDF

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