Research in the MDO Lab embraces both the theory and applications perspectives. On the theory side, we develop numerical methods that are applicable to a wide range of problems. Much of our work has focused on the accurate and efficient
computation of derivatives to aid gradient-based optimization methods, but derivatives have many other applications. The
complex-step method for computing derivatives, for example, has been applied to a wide range of disciplines, including
geophysics,
biotechnology and
statistics. We have written a
survey of MDO architectures, and we are constantly looking for opportunities to improve these architectures. We are currently collaborating with NASA in the development of
OpenMDAO, a framework to facilitate the application of MDO to real world engineering design problems.