Aim of this paper is to begin an investigation on the Unear stabiUty analysis of a class of General Linear Methods for special second order Ordinary Differential Equations, taking as a starting point a class of two-step Runge-Kutta-Nystrom methods, which is obtained through a transformation of the two-step Runge-Kutta methods. We construct methods with one and two stages possessing the same stability properties of the indirect collocation Gauss-Legendre Runge-Kutta-Nystrom methods, which are P-stable. 2009 American Institute of Physics.
Runge-Kutta-Nystrom stability for a class of general linear methods for y'' = f(x,y)
D'Ambrosio, R.;
2009-01-01
Abstract
Aim of this paper is to begin an investigation on the Unear stabiUty analysis of a class of General Linear Methods for special second order Ordinary Differential Equations, taking as a starting point a class of two-step Runge-Kutta-Nystrom methods, which is obtained through a transformation of the two-step Runge-Kutta methods. We construct methods with one and two stages possessing the same stability properties of the indirect collocation Gauss-Legendre Runge-Kutta-Nystrom methods, which are P-stable. 2009 American Institute of Physics.File in questo prodotto:
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