Discovery Projects - Grant ID: DP0210300

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0210300

Funding Status
Closed

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Funded Activity Summary

GEOMETRIC NUMERICAL INTEGRATION. Many scientific phenomena in physics, astronomy, and chemistry, are modelled by ordinary differential equations (ODEs). Often these equations have no solution in closed form, and one relies on numerical integration. Traditionally this is done using Runge-Kutta methods or linear multistep methods. In the last decade, however, we (and others) have discovered novel classes of so-called "geometric" numerical integration methods that preserve qualititative features of certain ODE's exactly (in contrast to traditional methods), leading to crucial stability improvements. Extending concepts from dynamical systems theory and traditional numerical ODEs, this project will improve, extend and systematize this new field of geometric integration.

Funded Activity Details

Start Date: 30-06-2002

End Date: 29-06-2005

Funding Scheme: Discovery Projects

Funding Amount: $230,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Theoretical Physics | Numerical and Computational Mathematics | Differential, Difference And Integral Equations | Numerical Analysis

ANZSRC Socio-Economic Objective (SEO)

Physical sciences | Mathematical sciences |

Other Keywords

Differential, Difference And Integral Equations | Mathematical sciences | Numerical Analysis | Numerical and Computational Mathematics | Physical sciences | Theoretical Physics

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