Research & Projects

Extending the SIR Model to Describe Infectious Spread in Space

This work focuses on using a Kernel based SIR model to describe infectious spread. It allows for highly detailed control of the spread. The goal of the project is to use optimal control to solve the inverse problem: Given infectious data, find the parameters that produce it. Poster GIFS

Efficient Multilevel Methods for Material Properties Inversion in Heat Transfer Problems

We consider the Heat equation with a diffusivity as a function of space. Given data, we want use optimal control to solve for the diffusivity. Our work focuses on developing a Multi-grid Method used to pre-condition Hessian. This can be used to improve the speed of using Newton's Method.