Complex Biological Systems

The department is a leader in the analysis of systems of nonlinear differential equations that arise in modeling a variety of physical phenomena. They include problems in biology, chemistry, phase transitions, fluid flow, flame propagation, diffusion processes, and pattern formation in nonlinear stochastic partial differential equations. Research in these areas is aided by a variety of computational facilities, including Sun Microsystem work stations and the massively parallel machines at the Pittsburgh Supercomputing Center.

Applied analysis is an important area of research in the Department of Mathematics.