I will introduce techniques from algebraic geometry and resolution of singularities that
allow us to analyse asymptotic behaviors of nonlinear differential and difference
|A/Professor Stephen Roberts|
|Australian National University |
For the last 10 years I have been working with members of the risk assessment group at Geoscience Australia to develop an open source software package, ANUGA, for tsunami and flood modelling. I will relay my experiences of this collaboration, commenting on how mathematical and computational ideas have been applied to produce more accurate and faster predictions of natural hazards, and to predict the effect of these events on communities.
On the way I will give an overview of the process of tsunami generation and show the results of our simulation of the recent Tohoku tsunami in Japan and comment on our efforts to run our simulation on a supercomputer the equivalent of 100,000 PC?s, the K computer.
In this talk, we discuss the mechanical behaviour for non-bonded interactions between various nanostructures by using applied mathematical modelling techniques and a continuum approach. Particularly, we look at modelling nanostructures, such as nanotubes, aromatics rings and nanopores, which have potential applications in nanomedicine and environmental monitoring. The talk also touches on modelling polymer chains and proteins using classical calculus of variations.