We analyse the attainable order and the stability of Runge-Kutta-Nystr??m (RKN) methods for
special second-order initial-value problems derived by collocation techniques. Like collocation methods for
first-order equations the step point order of s-stage methods can be raised to 2 s for all s. The attainable stage
order is one higher and equals s+1. However, the stability results derived in this paper show that we have to
pay a high price for the increased stage order. ?? 1991
