The research and teaching foci of the Department of Applied Mathematics at IIT are primarily in four areas of modern applied mathematics. A brief description of each of these areas along with a list of faculty with primary and secondary interests and expertise in the area can be found by clicking in the following table.
Applied analysis is one of the foundations for interdisciplinary applied mathematics.
The basic framework, concepts and techniques of modern mathematical analysis are essential for modeling, analysis and simulation of complicated phenomena in engineering and science. Applying the ideas and methods of modern mathematical analysis to such problems has been a thoroughly interdisciplinary effort. Research and teaching within the applied analysis group at IIT concentrates on development and applied analysis group at IIT concentrates on development and application of new techniques for investigating numerous phenomena in engineering and science. In particular, members of the group do research in numerical analysis, nonlinear dynamics, stochastic dynamics, partial differential equations and stochastic partial differential equations. Applications of this research is in geophysical fluid dynamics, computational fluid dynamics, conservation laws, materials science, viscoelastic and polymeric fluid flows, biological science, quantum mechanics and electrodynamics, solid mechanics, financial engineering and other disciplines.