Collocation---Based Two Step Runge---Kutta Methods for Ordinary Differential Equations

Authors:
R. D'Ambrosio;M. Ferro;B. Paternoster
Affiliations:
Dipartimento di Matematica e Informatica, Università degli Studi di Salerno, Fisciano (Sa), Italy 84084;Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli - "Federico II", Napoli, Italy 80126;Dipartimento di Matematica e Informatica, Università degli Studi di Salerno, Fisciano (Sa), Italy 84084
Venue:
ICCSA '08 Proceedings of the international conference on Computational Science and Its Applications, Part II
Year:
2008

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Abstract

We introduce a general family of collocation based two---step Runge---Kutta methods for the numerical integration of Ordinary Differential Equations depending on the stage values at two consecutive step points. We describe two constructive techniques and analyze the properties of the resulting methods.