The numerical solution of variational problems.

by Stuart E. Dreyfus

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A discussion of the numerical solution of variational problems of both the conventional and inequality constrained types. The author outlines briefly what, until recently, has been the usual approach. A gradient technique is then considered that has proved very successful in practice. Finally, the numerical solution of a variant of the classical brachistochrone problem is examined where a state variable inequality constraint has been introduced, but for which the analytic solution is still known.

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