Research projects
Research projects
Explore diverse mathematical research projects at ANU's Mathematical Sciences Institute. Engage in areas like algebra, geometry, computational mathematics, and astrophysics, addressing complex real-world challenges. Contact your supervisor for further discussion and ideas.
Displaying 1 - 15 of 30 project(s).
Efficient numerical methods for 3D underwater acoustic wave propagation
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.
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.
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
Controlled magnetic confinement fusion offers the possibility of an inexhaustible supply of energy with zero greenhouse gas emissions.
The discontinuous Galerkin (DG) method is now an established method for computing approximate solutions of partial differential equations in many applications.
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.
Edge Localised Modes – linear stability and dynamics
Student intake
Open for Bachelor, Honours, Masters, PhD, Summer scholar students
Group
People
- Matthew Hole, Supervisor
Fusion energy promises baseload electricity generation with zero greenhouse gas emissions, a virtually inexhaustible supply of fuel, and significantly reduced radioactive waste, compared to fission and coal.
Student intake
Open for Honours, Masters, PhD, Summer scholar students
Group
People
- Matthew Hole, Supervisor
In ITER, broken toroidal symmetry is introduced deliberately, through the use of resonant magnetic perturbation (RMP) coils, to suppress large explosive instabilities known as edge localised modes (ELMs). It is crucial to evaluate the equilibrium and stability of magnetic field configurations with RMP for ITER scenario
Understanding how faults slip during an earthquake is still a grand challenge in seismology.
As we move into exascale computing, and beyond, the chance of a fault occurring in the system increases. Traditional approaches to building resilience into the system, such as check-pointing, may become too expensive.
Approximation of High Dimensional Data Sets using Sparse Grid Techniques.
Mimetic and stable numerical methods for nonlinear shallow water equations