We consider a general family of two step collocation methods for the numerical integration of Ordinary Differential Equations, which depends on the stage values at two consecutive step points. We describe two constructive techniques, discuss the order of the resulting methods, compute the nodes to obtain superconvergence and analyze their linear stability properties. © 2007 American Institute of Physics.
A general family of two step collocation methods for ordinary differential equations
D'Ambrosio, R.;
2007-01-01
Abstract
We consider a general family of two step collocation methods for the numerical integration of Ordinary Differential Equations, which depends on the stage values at two consecutive step points. We describe two constructive techniques, discuss the order of the resulting methods, compute the nodes to obtain superconvergence and analyze their linear stability properties. © 2007 American Institute of Physics.File in questo prodotto:
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