School Seminars and Colloquia

Faithful and Discrete - the Geometric Numerical Integration of Differential Equations

Colloquium

by Professor Reinout Quispel


Institution: Department of Mathematics and Statistics, La Trobe University
Date: Tue 12th August 2008
Time: 12:00 PM
Location: Russell Love, Richard Berry Bldg, The University of Melbourne

Abstract: Geometric integration is the numerical integration of a differential equation, while preserving one
or more of its geometric physical properties exactly, i.e. to within round off error. Many of these
geometric properties are of crucial importance in physical applications, preservation of energy,
momentum, angular momentum, phase-space volume, symmetries, time-reversal symmetry,
symplectic structure and dissipation are examples. The field has tantalizing connections to
dynamical systems, as well as to Lie groups. In this talk we will present a survey of geometric
numerical integration methods for differential equations.
Our aim has been to make the review of interest for a broad audience.

For More Information: Paul Pearce P.Pearce@ms.unimelb.edu.au or Paul Norbury P.Norbury@ms.unimelb.edu.au

Colloquium Website