[symbol logo]     University of Sydney
[School of Mathematics and Statistics]
Applied Mathematics Seminar
    
  
 
University of Sydney> Maths & Stats> Research> Applied Mathematics Seminar> Abstracts
    

 
 

Tony Roberts
Department of Mathematics & Computing, University of Southern Queensland

Coordinate transforms underpin multiscale modelling and reduction in deterministic and stochastic systems

Thursday 6th September 14:05-14:55pm, Eastern Avenue Lecture Theatre.

A persistent feature of complex systems in engineering and science is the emergence of macroscopic, coarse grained, coherent behaviour from the interactions of microscopic agents (molecules, cells) and with their environment. In current modeling, ranging from ecology to materials science, the underlying microscopic mechanisms are known, but the closures to translate microscale knowledge to a system level macroscopic description are rarely available in closed form. Kevrekidis proposes new `equation free' computational methodologies to circumvent this stumbling block in multiscale modelling. Nonlinear coordinate transforms underpin analytic techniques that support these computational methodologies. But to do so we must cross multiple space and time scales, in both deterministic and stochastic systems, and where the microstructure is either smooth or detailed. Using examples, I describe progress in using nonlinear coordinate transforms to illuminate such multiscale modelling issues.