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New Zealand Mathematics Colloquium 1999
July 6-9, 1999
Department of Mathematics and Statistics, University of Canterbury
Christchurch, New Zealand

Organizers
Doris Barnard, Therese Boustead, Chris Price, Bruce Robson, Gunter Steinke, Graeme Wake, Allan Willms

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A new family of numerical methods for stiff differential equations
by
J. C. Butcher
Department of Mathematics, The University of Auckland

In the attempt to find a accurate and efficient numerical methods for the solution of stiff differential equation systems, the large family of general linear methods is considered. This includes both Runge-Kutta and linear multistep methods as special cases, since it allows for both multiple stages and multiple values. A new restriction on the parameters of the method, known as ``Inherent Runge-Kutta Stability", is introduced. This narrows the range of possible methods to a smaller family. Specific methods in this family have excellent prospects as potential stiff solvers.

Date received: June 24, 1999

Copyright © 1999 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 # cacc-57.