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

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

Status

Potential

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

Student intake

Open for Honours, Masters, PhD students

Status

Potential

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.

Status

Current

People

Members

Convenor

Qinian Jin

Associate Professor

Emeritus

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Emeritus Professor

Researcher

Barry Croke

Senior Fellow / Associate Professor

Markus Hegland

Emeritus Professor

Professor

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MSI-Google Fellow

Steve Roberts

Emeritus Professor

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Associate Professor / Director of Research ANU-ASD Co-Lab

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Associate Professor and Director, Mathematical Data Science Centre

Student

News

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

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MSI academics to participate in multidisciplinary research on fusion energy

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