Some Generalizations of Runge-Kutta Methods
by
Ruby Cheng-pei Chen
The University of Auckland

Pseudo-Runge-Kutta methods were first proposed in 1966, in the hope that they would be more accurate and efficient than traditional Runge-Kutta methods. More recently, other generalizations of Runge-Kutta methods have been proposed. An example of a pseudo-Runge-Kutta method will be studied in terms of its order of accuracy and its stability. A new type of generalization will also be suggested and this will be compared with existing Runge-Kutta methods and pseudo-Runge-Kutta methods.

Date received: October 8, 2001

Copyright © 2001 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 # cahf-19.