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. © 2008 Springer-Verlag Berlin Heidelberg.
Collocation-based two step Runge-Kutta methods for ordinary differential equations
D'Ambrosio, R.;
2008-01-01
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. © 2008 Springer-Verlag Berlin Heidelberg.File in questo prodotto:
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