Publications of the Aero-Astronautics Group 1965-76.

This document summarizes the research performed by the Aero-Astronautics Group of Rice University during the period 1965-76 under several AFOSR, NSF, and NASA grants. This research has been reported in 133 Aero-Astronautics Reports and 91 papers published in the open literature. It has spanned the following mathematical areas i nonlinear equations ii differential equations iii two-point and multipoint boundary-value problems iv mathematical programming v optimal control and vi calculus of variations. In these areas, it has led to the development of several new analytical and computational techniques. Concerning applications, the research reported here is of interest in several areas of engineering, science, and economics. With particular regard to aerospace engineering, it applies to the following problem areas i optimum atmospheric flight trajectories ii optimum extra-atmospheric flight trajectories iii optimum aerodynamic shapes and iv optimum structures. Author