Computational mathematics

Computational mathematics

The Computational Mathematics research program actively studies theoretical aspects of computational algorithms.

contact_support Contact

About

Our group has 6 continuing and 6 contract staff. The group members have wide range of research interests in developing numerical methods for solving various application problems. We focus on algorithm designs, numerical implementation and theoretical analysis.

Capabilities

The group members have long term experience with their research areas. In particular 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 with their research areas which typically tie with practical applications and government or industrial partners. Examples include fluid dynamics and the River Darling Basin Authority, inverse problems and the Australian Signals Directorate, fusion energy and the Australian Nuclear and Science and Technology Organisation, and seismology and 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 US and UK (e.g. Oxford).
  • Exposure to broader research challenges through the Mathematics and Computational Sciences Seminar Series, a joint initiative between MSI and Computational Science.

Projects

As we move into exascale computing, and beyond, the chance of a fault occurring in the system increases. Traditional approaches to building resilience into the system, such as check-pointing, may become too expensive.

Student intake

Open for Honours, Masters, PhD students

People

Approximation of High Dimensional Data Sets using Sparse Grid Techniques.

Student intake

Open for Honours, Masters, PhD students

People

Mimetic and stable numerical methods for nonlinear shallow water equations

Student intake

Open for students

People

The efficient solution of the Navier Stokes equation provides many challenges. Of particular interest is the efficient description and implementation of free boundaries.

Student intake

Open for Honours, Masters, PhD students

People

The modelling of high dimensional data sets pose a particular challenge both for approximation and the parallel implementation. In this project we investigate the parallelization of sparse grid methods.

Student intake

Open for Honours students

People

The goal of this project is to compute the particle orbits in a MRxMHD equilibrium with fully 3D field and quantify the impact of the islands and chaos to particle confinement.

Student intake

Open for Honours, Masters students

People

Members

Convenor

Qinian Jin

Associate Professor

Emeritus

No photo provided

Emeritus Professor

No photo provided

Emeritus Professor

Researcher

No photo provided

Associate Professor

MSI Fellow

Markus Hegland

Emeritus Professor

Professor

James Nichols

Lecturer

No photo provided

Research Fellow, Institute of Water Futures

Steve Roberts

Emeritus Professor

No photo provided

Associate Professor

No photo provided

Senior Lecturer

Caroline Wormell with a rocky Alp in the background

Postdoctoral Fellow

Student

News

What, exactly, happens on the fifth floor of the Hanna Neumann Building? To find out, you first need to break the code.

Read the article

Ground breaking research recognised with award of prestigious Leslie Fox Prize.

Read the article

MSI academics to participate in multidisciplinary research on fusion energy

Read the article