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

In this project we rederive and implement a recently published quantum algorithm for the Vlasov-Maxwell system of equations in Q#, a quantum computation platform.

Student intake

Open for Honours, Masters, PhD, Summer scholar students

People

Recent development of a flowing MHD model for a rotating, collisional plasma column discovered the intriguing prediction of opposite axial acceleration of the plasma ions in the subsonic and supersonic regimes. This project would examine the regime above, below, and through the shock.

Student intake

Open for Bachelor, Honours, Masters, Summer scholar students

People

For people involved in the Mathematical Modelling and Computation program, research opportunities exist in formulation of fault-tolerant numerical schemes, implementation of fault-tolerant schemes on supercomputers, simulation of hardware failure events on ultrascale supercomputers, and application of these techniques to scientific computing.

Sensitivity analysis is an important tool in evaluating model behaviour and assessing which parameters are significant, as well as the interactions between parameters.

Student intake

Open for Summer scholar students

People

Shaping value of information to real world conditions in water decision making

Student intake

Open for Summer scholar students

People

I am interested in using a multi-parameter study of invariants from algebraic topology to do statistical shape analysis. The goal is to quantitatively compare geometric objects such as a set of bones, tumours, leaves, bird beaks, etc. I have both theory and application projects.

Student intake

Open for Bachelor, Honours, Masters, PhD 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

News

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