Scientific Computing & Numerical Modelling
A vast amount of scientific research is now conducted using computers.
The development of models and algorithms to mimic complex physical, biological
and financial systems relies on sound mathematical formulations. Examples
of current research in mathematics at UQ include modelling of chemical kinetics,
gene splicing, fracture of composites, pricing financial bonds and
computational neroscience.
Mathematics also plays a central role in the ongoing development of
efficient algroithms which underpin the success of modern computing.
Areas of expertise in the mathematics department include molecular
dynamics, visualization, parallel algorithms, stochastic modelling, grid
computing and traditional eigenvalue and linear system solvers.
For more information follow the links to people's personal web pages.
Medical imaging/image processing, computational statistics, scientific data
visualisation, scientific computing in archaeology.
Supercomputing applications, environmental modelling, stochastic processes
Scientific parallel computing, environmental modelling, numerical solution
of differential equations (deterministic and stochastic), mathematical finance,
computational biology, engineering applications.
Numerical solution of integral equations, convergence of numerical methods for free and moving boundary problems, applications in computer graphics.
3D graphics programming, supercomputing, access/visualisation grid
Supercomputing, eigenvalues, linear systems
Simulation and visualisation techniques for biological research
Phd projects
- Complex systems approaches to genetic regulation of plant development.
- Mathematical and computational methods for modelling the control of plant
development and function
- Computational modelling of intra-cellular processes
Scholarship available
3D graphics programming, scientific visualisation
Visualisation of landscapes and environmental model.
Statistical mechanics, molecular dynamics, scientific computing, scientific
data visualisation.
Microstructure and properties of random materials. Gaussian random fields, boolean models, elasticity, transport theory, fracture of composites
Phd projects
- Computational fracture mechanics in porous and composite materials
- Relating exponents in fractional diffusion models of contaminant dispersion to heterogeneous geological structures
- Determination of yield surfaces in porous materials
Fracture of composite materials, including human bone. Plasticity of porous
materials. Dynamics of fibre slippage in fibrous assemblies. Topology Optimisation.
Parallel and Distributed Optimization of Engineering Systems, Visualization
and Virtual Reality in Engineering, High Performance Computing, Evolutionary
Computation, Computer Aided Design, Finite Element Analysis and Application
Current Students
- Farah Abdullah, A comparison of parallel implementation methods in deterministic and stochastic differential equations. Advisors: Kevin Burrage, Tianhai Tian.
- Margherita Carletti, Stochastic modelling of genetic regulatory networks. Advisors: Kevin Burrage, Tianhai Tian.
- Vivien Challis, Topology Optimisation of Material properties Advisors: Tony Roberts, Andy Wilkins.
- Benjamin Hollis, Simultaneous vehicle crew scheduling. Advisors: Graeme Chandler, Michael Forbes.
- Christopher Haynes, Diffusion, flow and dispersion in random heterogeneous environments. Advisors: Tony Roberts, Graeme Chandler.
- Benjamin Hollis, Simultaneous vehicle crew scheduling. Advisors: Graeme Chandler, Michael Forbes.
- Dharma Lesmono, Optimal early exercise for uncertain payoffs. Advisors: Kevin Burrage, Elliot Tonkes, Phil Pollett.
- Milan Letic, Pricing contingent claims under stochastic volatility. Advisors: Graeme Chandler, Philip Gray.
- Dan Nicolau, Complex phenomena and information processing in biological systems. Advisors: Kevin Burrage, John Hancock.
- Antony Stace, Valuation of Asian options with aritmetic average. Supervisor: Graeme Chandler, Elliot Tonkes, Phil Pollett.