Discovery Projects - Grant ID: DP140100640

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/API/grants/DP140100640

Funding Status
Closed

Does something not look right? The information on this page has been harvested from data sources that may not be up to date. We continue to work with information providers to improve coverage and quality. To report an issue, use the .

Funded Activity Summary

New structures in geometric numerical integration. Many scientific phenomena in physics, astronomy, chemistry, and geoscience, are modelled by differential equations (DEs). Generally DEs have no closed form solutions, and one must rely on numerical integration. Traditionally this is done using, for example, Runge-Kutta methods or linear multistep methods, respectively finite difference or finite element methods. Recently, however, novel so-called ‘geometric’ integration methods that preserve qualitative features of many DEs exactly (as opposed to traditional methods) have been discovered, leading to crucial stability improvements. Combining aspects of dynamical systems theory and traditional numerical DEs, this project will improve, extend, and systematise this new field of geometric integration.

Funded Activity Details

Start Date: 05-2014

End Date: 12-2018

Funding Scheme: Discovery Projects

Funding Amount: $685,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Numerical Solution of Differential and Integral Equations | Mathematical Physics not elsewhere classified | Mathematical Physics | Applied Mathematics not elsewhere classified

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Physical Sciences | Expanding Knowledge in the Mathematical Sciences |

Related Links