Identifying efficient ARK methods
by
Nicolette Moir
The University of Auckland

Almost Runge Kutta methods (ARK methods) are a special type of general linear method for solving non-stiff ordinary differential equations. Their properties closely resemble those of Runge-Kutta methods but have the added advantage of higher stage order and the possibility of efficient interpolation and error-estimation. We will give a brief introduction to these methods as well as explore opportunities for optimising these methods by allowing the number of stages to exceed the order.

Date received: October 1, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caek-48.