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New Zealand Mathematics Colloquium 2001
December 3-6, 2001
Massey University
Palmerston North, New Zealand

Organizers
Dr I. Boglaev, Dr M. Carter, Dr J. Hudson, Dr C. Little (convenor), Ass. Prof R. McLachlan, Ass. Prof C. Lai

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Stability for Variable Stepsize Numerical Methods for Ordinary Differential Equations
by
Allison Heard
The University of Auckland
Coauthors: John Butcher

Stability is an important consideration in the numerical solution of ordinary differential equations. When the stepsize is constant, it is sufficient to look at the spectral radius of the stability matrix. However, when the stepsize is allowed to vary, products of stability matrices must be investigated and so norms are used. I will review some work on matrix norms and introduce a norm which depends on the ``state'' of the calculation. This has been used successfully to analyse the stability of the three step BDF method.

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-37.