Current Research Projects
Environmental Modelling
1. A joint collaborative project between CIAMP and the Queensland Department of Primary Industries (QDPI) on the utilization of high performance computing in drought modelling. This involves fitting surfaces to sparse data (up to 6,000 data points) across Australia which is then input into a number of simulation codes which simulate various agricultural and environmental factors such as pasture growth.
2. A collaborative project with QDPI involves the downsizing of rainfall outputs from Global Circulation Models for predicting seasonal and inter-annual rainfalls across Australia.
3. A The design of modular interactive modelling and visualisation environments for spatial modelling.
Differential Equations
1. A monograph entitled Parallel and Sequential methods for Ordinary
Differential Equations published by OUP in 1995 (SEE BELOW).
2. Joint work with Dr Bert Pohl in the development of a parallel waveform relaxation code based on VODE which runs in a MIMD environment.
3. Joint work with Zdzislaw Jackiewicz and Rosie Renaut (ASU, Tempe) on methodologies for accelerating and preconditioning waveform relaxation.
Deflation techniques for solving large-scale linear systems
1. Joint work with Jocelyne Erhel (INRIA) and Alan Williams (UQ) in accelerating the convergence of iterative methods (Jacobi, Gauss-Seidel, GMRES etc) by deflation techniques. The eigenvalues that cause divergence or slow convergence are deflated adaptively into a stiff subspace.
This has the effect of reducing the spectral radius of the iteration matrix as the iterations proceed. A coupled iteration takes place between these two subspaces.
2. Parallel implementation of these techniques.