This area involves study and research on theoretical and implementational aspects of numerical simulations: applied mathematics (functional analysis, partial differential equations, dynamical systems), numerical analysis (a- priori and a-posteriori error estimation, adaptive algorithms, stochasticity), computer science (high performance linear algebra, parallel computing), software engineering (programming in Fortran 90, C, C++ , data structures),visualization and geometry modeling, and mathematical modeling (multiscale, multiphysics problems).
This area involves study and research in system theory, control theory, optimal control theory, approximation theory, time-delay observers, estimation theory, and stochastic control theory and their application to the navigation, guidance, control, and flight mechanics of aerospace vehicles.
This area involves study and research in the applications of celestial mechanics, analytical dynamics, geophysics, numerical analysis, optimization theory, estimation theory, mathematics, and computer technology to model the dynamic behavior of natural and artificial bodies in the solar system.
This area involves study and research in theoretical, computational, and experimental structural dynamics. Included are aeroelasticity, linear and nonlinear structural system identification, structural acoustics, and computational techniques for very-large-scale vibration analysis.