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.
9780735407091
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/120034
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