In cite{C-N} a class of global collocation methods for the numerical solution of systems of nonlinear first-order ordinary differential equations was derived. The favorable comparison with other existing methods stimulated us to study them in depth. So in this paper the equivalent implicit Runge-Kutta methods are derived and their stability is studied. Methods derived in cite{C-N} results to be A-stable at least at up to order 20.
Stability of Chebyshev collocation method
NAPOLI, Anna
2004-01-01
Abstract
In cite{C-N} a class of global collocation methods for the numerical solution of systems of nonlinear first-order ordinary differential equations was derived. The favorable comparison with other existing methods stimulated us to study them in depth. So in this paper the equivalent implicit Runge-Kutta methods are derived and their stability is studied. Methods derived in cite{C-N} results to be A-stable at least at up to order 20.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
