Invariant imbedding and a reformulation of the internal intensity problem in transport theory

by Richard Ernest Bellman, H. H. Natsuyama, Robert E. Kalaba


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Given a complete set of initial conditions, modern computers can integrate on the order of one thousand simultaneous nonlinear ordinary differential equations. One aim of the theory of invariant imbedding is to show how to use this capacity to resolve significant problems in transport theory. This Memorandum shows how to compute internal intensities when a finite homogeneous slab is illuminated by uniform parallel rays of radiation. It is assumed that there is absorption and isotropic scattering in the slab. 23 pp. Bibliog.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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