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- W2250367035 abstract "This chapter discusses the application of the theory of dynamic programming to the numerical solution of problems in the calculus of variations. The basic step in dynamic programming is the recognition of the fact that the calculus of variations is a particular example of a multistage decision process of continuous type. Various problems arising in the study of optimal trajectories can be formulated as questions within the calculus of variations. Standard variational techniques then transform the original problems into those of solving nonlinear differential equations subject to two-point boundary conditions. The general one-dimensional variational problem of minimizing is a routine problem that can quickly and accurately be solved using dynamic programming techniques in conjunction with digital computers. The technique of polynomial approximation can be used to tabulate functions of several variables in a quick and efficient way. This technique helps in using the functional equation approach to solve multidimensional variational problems." @default.
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- W2250367035 date "1962-01-01" @default.
- W2250367035 modified "2023-09-27" @default.
- W2250367035 title "On the Determination of Optimal Trajectories Via Dynamic Programming" @default.
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- W2250367035 doi "https://doi.org/10.1016/s0076-5392(08)62096-2" @default.
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