Computing Methods in Applied Mathematics.

The objective of this investigation is to contribute to computing methods in applied mathematics. The study involves theoretical analyses and development of examples having current interest. The theoretical analyses are concerned with a solution of nonlinear, algebraic or transcendental equations, b solution of nonlinear, ordinary differential equations, c solution of nonlinear, partial differential equations, d mathematical programming problems, e optimal control problems involving ordinary differential equations, and f optimal control problems involving partial differential equations. The examples are concerned with particular problems occurring in flight mechanics, astrodynamics, aerodynamics, and stability and control of aerospace vehcles. The main analytical results, summarized in seven report and five articles, are described.