Title: Numerical Analysis of a Model for the Growth of Microorganisms

Speaker(s): Alexander Craig Montgomery, Braden Carlson

Abstract: A system that arises in a model for the growth of microorganisms in a chemostat is studied. A new semi-implicit numerical scheme is proposed. It is proven that the scheme is uniquely solvable and unconditionally stable. The convergence rate of the numerical solution to the true solution of the system is also given.

Advisors: Jianlong Han, Seth Armstrong, Sarah Duffin