This paper deals with predictor-corrector iteration of Runge-Kutta-Nystr??m (RKN) methods for
integrating initial-value problems for special second-order ordinary differential equations. We consider RKN
correctors based on both direct and indirect collocation techniques. The paper focuses on the convergence
factors and stability regions of the iterated RKN correctors. It turns out that the methods based on direct
collocation RKN correctors possess smaller convergence factors than those based on indirect collocation
RKN correctors. Both families of methods have sufficiently large stability boundaries for nonstiff problems.
?? 1993.
