Computational mathematics

Computational mathematics

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

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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

A possible application area for this project is Stellar Astronomy. The project will involve both computational and mathematics aspects, but the focus will depend on the student's interest.

Student intake

Open for Honours, Masters students

People

Edge Localised Modes – linear stability and dynamics

Student intake

Open for Bachelor, Honours, Masters, PhD, Summer scholar students

People

Fusion energy promises baseload electricity generation with zero greenhouse gas emissions, a virtually inexhaustible supply of fuel, and significantly reduced radioactive waste, compared to fission and coal.

Student intake

Open for Honours, Masters, PhD, Summer scholar students

People

In ITER, broken toroidal symmetry is introduced deliberately, through the use of resonant magnetic perturbation (RMP) coils, to suppress large explosive instabilities known as edge localised modes (ELMs). It is crucial to evaluate the equilibrium and stability of magnetic field configurations with RMP for ITER scenario

Student intake

Open for Honours, Masters, PhD students

Evaluation of hydrological models

Student intake

Open for Summer scholar students

People

Understanding how faults slip during an earthquake is still a grand challenge in seismology.

Student intake

Open for students

People

Members

Convenor

Qinian Jin

Associate Professor

Emeritus

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Emeritus Professor

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Emeritus Professor

Researcher

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Associate Professor

MSI Fellow

Markus Hegland

Emeritus Professor

Professor

James Nichols

Lecturer

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Research Fellow, Institute of Water Futures

Steve Roberts

Emeritus Professor

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Associate Professor

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Senior Lecturer

Caroline Wormell with a rocky Alp in the background

Postdoctoral Fellow

Student

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