In , 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  are A-stable at least at up to order 20. © 2004 Elsevier Ltd.
Costabile, F., & Napoli, A. (2004). Stability of Chebyshev collocation methods. Computers & Mathematics with Applications, 47(4–5), 659–666. https://doi.org/10.1016/s0898-1221(04)90053-3