Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9511592 | Applied Numerical Mathematics | 2005 | 12 Pages |
Abstract
We analyze the linear stability properties of mixed collocation Runge-Kutta-Nyström (RKN) methods for the second order Ordinary Differential Equations yâ³=f(x,y). In particular we consider the influence of the collocation nodes on the stability region, analyzing in detail the case of frequency and step length dependent RKN methods obtained through mixed collocation which are based on Gauss, Radau and Lobatto nodes.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
M. Carpentieri, B. Paternoster,