Model Reductions and Model Couplings
Dr. Roderick Melnik
Mathematical Modelling
Wilfrid Laurier University
Abstract
Many, if not most, problems in describing natural phenomena, processes, and man-made systems lead to coupled mathematical models which are usually not amenable to analytical treatments. The development, analysis, and applications of effective numerical approximations for such models become a core element in their studies.
This talk will be devoted to several classes of such problems, focusing on models describing non-equilibrium phenomena such as phase transformations. Other mathematical models of interest in this talk will include models for low-dimensional semiconductor nanostructures, such as quantum dots, where the coupling of different physical fields becomes increasingly important in applications.
