Applied & Computational Mathematics

The Applied & Computational Mathematics research area studies a range of applied mathematical topics, including theoretical aspects of computational algorithms, data science, mathematical modelling, and theoretical astrophysics. The group members have a wide range of research interests in developing numerical methods for solving various application problems. We focus on algorithm design, numerical implementation and theoretical analysis.

Capabilities

The research of our group addresses the following aspects of computational and applied mathematics:

• Computational PDEs
• Computational topology and algebraic geometry
• Environmental science
• Inverse problems
• Modelling
• Numerical linear algebra
• Optimisation
• Plasma physics
• Theoretical astrophysics

Reasons to work with us

Our group members have long-term experience in their research areas, which typically ties into practical applications and government or industrial partners. Examples include fluid dynamics with the River Darling Basin Authority, inverse problems with the Australian Signals Directorate, fusion energy with the Australian Nuclear and Science and Technology Organisation, and seismology with GeoSciences Australia. Completed HDR students routinely find employment in top international research agencies (e.g. US Department of Energy), or pursue higher degree studies in world-leading universities in the US and UK (e.g. Oxford).