Applied Mathematics at Texas A&M University

Control Theory.  Control Theory is a major research area of both applied mathematics and engineering spanning applications as diverse as the control of space vehicles and the active and passive damping of buildings and bridges in order to improve their earthquake tolerance. The principal members of the Control Theory Group here are Goong Chen and Jianxin Zhou.

Applied Mechanics.  Applied Mechanics refers to applied contiuum mechanics and encompasses classical fluid dynamics, solid mechanics, thermo-mechanics, etc. Our research activities in applied mechanics are highly interdisciplinary involving mathematicians working in collaboration with colleagues from engineering, material science, geoscience, economics, medicine and the life sciences. Several faculty work in fluid dynamics, including flow through porous media, and viscoelastic flows, (Prabir Daripa, Richard Ewing, Ciprian Foias, K. R. Rajagopal, and John Slattery), and solid mechanics, including biological materials (K.R. Rajagopal , John Slattery and Jay Walton). Members of this group have close ties with colleagues in the interdisciplinary Faculty in Material Science Engineering, the Center for Composite Materials and the Institute for Scientific Computation.

Differential Equations. Many faculty in the department work on theoretical and applied aspects of differential equations including partial differential equations, dynamical systems and inverse problems. For a description of the breadth of these activities, see the Differential Equations webpage.

Numerical Analysis. Computational mathematics plays a prominent role in modern applied mathematics, and we have a very strong program in Numerical Analysis and Scientific Computation. For more defails see the Numerical Analysis webpage.

Applied Mathematics Seminar. The Applied Mathematics Seminar is the primary venue for weekly departmental talks in applied mathematics. Our speaker list includes outside experts as well as our own faculty and students. This semester'shttp://www.math.tamu.edu/news_events/applied_math_seminar.html schedule can be viewed through the link Applied Mathematics Seminar.

In addition to the research groups listed above, many other application areas of mathematics are represented among our faculty including: Transport Theory ( Paul Nelson, Don Allen); Traffic Flow ( Paul Nelson); Mathematical Ecology ( Jay Walton, Paulo Lima-Filho); Photonic Crystals, Tomography and various Inverse Problems ( Peter Kuchment, Bill Rundell); Spectral Theory and Asymptotics with applications to Mathematical Physics (Steve Fulling); Game Theory and Mathematical Economics (Jianxin Zhou); Quantum Computing</a> (Goong Chen, Steve Fulling).

The department regularly has Post-Doctoral faculty working with members of the Applied Mathematics Group. Current post-doctoral faculty working in various areas of applied mathematics include: Brian Ewald (Fluid Dynamics, Ocean and Atmospheric Sciences); Changbing Hu (Solid Mechanics).

At the graduate level the basic course sequence in differential equations is Math 611/ Math 612 while more advanced topics are covered in the Math 670/ Math 671 sequence. We also teach basic courses Math 602 and Math 603 intended for students from the physical sciences and engineering.
Regularly taught applied courses include Mathematical Foundations of Continuum Mechanics (Math 604), Mathematical Fluid Dynamics (Math 605), Dynamical Systems (Math 614), Applied Stochastic Differential Equations (Math 625), Mathematical Modelling (Math 647) and Hydrodynamic Stability (Math 672). Special topics courses taught in recent years include the titles: "Hamiltonian Systems", "Inverse Problems", "Boundary Element Methods", "Applied Exterior Calculus."