  We study the A-stability and accuracy characteristics of Clenshaw-Curtis
collocation. We present closed-form expressions to evaluate the Runge-Kutta
coefficients of these methods. From the A-stability study, Clenshaw-Curtis
methods are A-stable up to a high number of nodes. High accuracy is another
benefit of these methods; numerical experiments demonstrate that they can match
the accuracy of the Gauss-Legendre collocation, which has the optimal accuracy
order of all Runge-Kutta methods.
