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.
|Titolo:||Runge-Kutta-Nystrom stability for a class of general linear methods for y'' = f(x,y)|
|Data di pubblicazione:||2009|
|Appare nelle tipologie:||4.1 Contributo in Atti di convegno|