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1998 New Zealand Mathematics Colloquium
July 6-9, 1998
Victoria University of Wellington
Wellington, New Zealand

Organizers
Peter Donelan, Chris Atkin, John Harper, Philip Rhodes-Robinson, Jim Neyland, Geoff Whittle, Steve White, Vladimir Pestov, Tom Crosby

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Geometric Integration
by
J. M. Sanz-Serna
Universidad de Valladolid

The talk is devoted to numerical methods for the solution of initial value problems in ordinary differential equations. I will briefly survey the main historical developments and present the paradigm that was universally accepted fifteen years ago. I will point out several deficiencies of that paradigm and I will discuss several new approaches. The new approaches share a common property: they all focus on the geometric aspects of the system being integrated.

Date received: April 7, 1998

Copyright © 1998 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 # cabd-03.