Some practical general linear methods
by
Will Wright
Department of Mathematics, University of Auckland

General linear methods were derived as a unifying framework for the study of stability, consistency and convergence questions, for traditional methods. However, identifying practical methods from this large class has proved difficult.

In this talk several of the attempts at locating practical general linear methods will be discussed, concentrating on the advantages and disadvantages these methods possess.

Finally a class of general linear methods with a property known as ``inherent Runge-Kutta stability'' will be discussed. These methods are useful for the solution of stiff and non-stiff differential equations.

Date received: October 18, 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-36.