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Mathematics of Computation

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Natural continuous extensions of Runge-Kutta methods


Author: M. Zennaro
Journal: Math. Comp. 46 (1986), 119-133
MSC: Primary 65L05
DOI: https://doi.org/10.1090/S0025-5718-1986-0815835-1
MathSciNet review: 815835
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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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DOI: https://doi.org/10.1090/S0025-5718-1986-0815835-1
Article copyright: © Copyright 1986 American Mathematical Society

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