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

R. D'Ambrosio, M. Ferro, B. Paternoster
Published 2008 · Mathematics, Computer Science

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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.
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