Computational mathematics

Computational mathematics

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

contact_support Contact

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

The goal of this project is to compute the particle orbits in a MRxMHD equilibrium with fully 3D field and quantify the impact of the islands and chaos to particle confinement.

Student intake

Open for Honours, Masters students

Status

Potential

People

Develop mathematical models for disease spread that take into account human mobility and population dynamics, which can be calibrated using machine learning methods.

Student intake

Open for Bachelor, Honours, Masters, PhD students

Status

Potential

People

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

Status

Potential

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

Status

Potential

People

Describe the theoretical properties of methods based on machine learning to solve forward, inverse and operator design problems associated with partial differential equations.

Student intake

Open for Bachelor, Honours, Masters, PhD students

Status

Potential

People

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

Status

Potential

People

Members

Convenor

Qinian Jin

Associate Professor

Emeritus

No photo provided

Emeritus Professor

Researcher

Barry Croke

Senior Fellow / Associate Professor

Markus Hegland

Emeritus Professor

Professor

profile

MSI-Google Fellow

Steve Roberts

Emeritus Professor

No photo provided

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

No photo provided

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.

Read the article

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

Read the article

MSI academics to participate in multidisciplinary research on fusion energy

Read the article