%0 Journal Article
%T Nystrom Methods in the RKQ Algorithm for Initial-value Problems
%A J. S. C. Prentice
%J Mathematics
%D 2011
%I arXiv
%X We incorporate explicit Nystrom methods into the RKQ algorithm for stepwise global error control in numerical solutions of initial-value problems. The initial-value problem is transformed into an explicitly second-order problem, so as to be suitable for Nystrom integration. The Nystrom methods used are fourth-order, fifth-order and 10th-order. Two examples demonstrate the effectiveness of the algorithm.
%U http://arxiv.org/abs/1110.6749v2