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

This project aims to characterise the properties of network-packet captures (both batched and streaming), and use a combination of statistical techniques , Fourier and higher order spectral methods and correlation analysis techniques to develop candidate reduced “forward-models” for the network parameters.

Student intake

Open for Summer scholar students

People

Fusion plasmas can support a wide range of electromagnetic waves, ranging from pressure and current gradient driven modes to those driven unstable by fast particle-wave resonance. The diagnosis and control of fusion plasmas is contingent on the accurate modelling, prediction, and reliable measurement of such modes.

Student intake

Open for Honours, Masters, PhD students

People

This project seeks to provide a fundamental understanding of the process of energetic particle redistribution from the perspective of thermodynamics and entropy.

Student intake

Open for Honours, Masters, PhD students

People

We will consider numerical methods to model tsunamis, flooding and debris flow.

Student intake

Open for Honours, Masters, PhD students

People

Seismic waves emanating from geophysical events propagate over hundreds to thousands of kilometers interacting with tectonic forces, geological structure, complicated topography and earthquake source processes on scales down to millimeters.

Student intake

Open for students

People

Well-posed and stable boundary conditions for bedload transport equation (the 2D Exner Equation)

Student intake

Open for 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

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

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After a one-year hiatus due to the coronavirus pandemic, Maths Day 2021 was finally able to take place at the ANU Campus, attracting 140 year 11 and 12 maths enthusiasts from the ACT and New South Wales.

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MSI academics to participate in multidisciplinary research on fusion energy

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