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

Efficient numerical methods for 3D underwater acoustic wave propagation

Student intake

Open for Honours, Masters students

Status

Potential

Adaptive sparse grids automatically search for the best resolution in each dimension and build a model of the data. This project will study techniques, implementations and merits of such adaptive schemes for use in predictive modelling using sparse grids.

Student intake

Open for Honours students

Status

Potential

People

Our projects cover computational methods used in biology, chemistry, physics, finance and machine learning. They prepare applied and pure mathematicians for collaborative work with scientists and engineers and for doing a PhD in this area.

Student intake

Open for Bachelor, Honours students

Status

Potential

People

Clustering, ie finding groups of similar objects, is a central theme in data mining. While the k-means algorithm is one of the most popular at the moment, strong contenders are based on the estimation of density

Student intake

Open for Honours students

Status

Potential

People

Controlled magnetic confinement fusion offers the possibility of an inexhaustible supply of energy with zero greenhouse gas emissions.

Student intake

Open for Honours, Masters, PhD students

Status

Potential

People

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

Status

Potential

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

James Nichols

Lecturer

Steve Roberts

Emeritus Professor

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Associate Professor

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Senior Lecturer

Student

News

Cracked Earth showing lava underneath it

“Faster, more efficient software,” “speedups and code profiling,” and “parallel programming” – these were the central takeaways from the two-week National Computational Infrastructure (NCI) HPC-AI Hackathon hosted in partnership with NVIDIA, and the OpenACC organisation from 24 October to 4 November.

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Dr Xia Hua, who recently won a prestigious Eureka Prize for her mathematics research, used to hate maths. What she really loved was frogs. Which is lucky, because it’s the frogs that helped to get her here.

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

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