Invariant imbedding and neutron transport theory--II: functional equations.

by Richard Ernest Bellman, Robert E. Kalaba, G. M. Wing


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A discussion of some one-dimensional fission processes with particular attention to questions of critical length and energy dependence of the products of fission. Various interconnections between the functions used in the invariant-imbedding approach and the classical approach are indicated. In addition, it is shown how one may pass from the consideration of certain linear two-point boundary-value problems to nonlinear (Riccation type) initial-value problems. The former are useful for theoretical considerations, the latter for numerical computations. 30 pp.

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