This document summarizes the research performed at Rice University during the period 1971-76 under Air Force Grant No. AF-AFOSR-72-2185 in several areas of numerical analysis of interest in aerospace systems theory, namely: (i) solution of nonlinear equations, (ii) solution of differential equations, (iii) mathematical programming problems, and (iv) optimal control problems. The work summarized here is eminently applicable to these areas of aerospace engineering: (i) optimum atmospheric flight trajectories, (ii) optimum extra-atmospheric flight trajectories, (iii) optimum aerodynamic shapes, and (iv) optimum structures. (Author)


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