Faithful and Discrete - the Geometric Numerical Integration of Differential Equations
by Professor Reinout Quispel
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