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 research in system theory, controls, networks, autonomy, and robotics with applications to the navigation, guidance, control, and flight mechanics of space, air, sea, and land based vehicles. Major research topics include onboard-optimal path-planning, differential games, hybrid-systems analysis, learning-based control, multi-vehicle coordination, swarm systems, vision and radio-based navigation, controlled-mobility wireless networks, robust communications, trust, and the study of human-robot interaction problems. Several of these projects are sponsored by: the Defense Advanced Research Projects Agency, the Air Force Office of Scientific Research, the National Science Foundation, the Office of Naval Research, the Missile Defense Agency, National Aeronautics and Space Administration, and the Jet Propulsion Laboratories.
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.