Director of Undergraduate Studies
Department of Mathematical Sciences
University of Delaware
SIAM Review, Section Editor
I am interested in a solving a variety of problems that arise in fluid dynamics, computational methods, swarming and wireless networks. On the surface, it may look like these problems have nothing to do with one another, but mathematically, they are all connected. In the broad sense, the mathematical problems that interest me involve the deep connections between discrete and continuous mathematical structures. For instance, I like to solve partial differential equations that describe fluid motion using particle methods. The fluid motion is described by continuous equations. My numerical methods capture this behavior with discrete particles.
Fall 2013: Math 817: Introduction to Numerical Methods for Partial Differential Equations
Fall 2013 office hours: Mon 1400-1500, Wed 1400-1500 and Thu 0900-1000.
Jennifer Miller: PDE modeling and analysis of swarms.
Dr. Miller is now a Visiting Assistant Professor at Trinity College.
Claudio Torres: High performance computing with particles. Numerical PDEs. After finishing his degree, Dr. Torres was a postdoctoral fellow in Prof. Emelianenko's group at George Mason University. Now, he is a tenure track faculty member at the Universidad Tecnica Federico Santa Maria.