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
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:
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