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.

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

D'AMBROSIO, RAFFAELE;PATERNOSTER, Beatrice
2008

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.
9783540698401
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/3576877
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