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

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

ResearchPublished 1965

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.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1965
  • Print Format: Paperback
  • Paperback Pages: 23
  • Paperback Price: $20.00
  • Document Number: RM-4539-PR

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RAND Style Manual
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Invariant imbedding and a reformulation of the internal intensity problem in transport theory, RAND Corporation, RM-4539-PR, 1965. As of October 11, 2024: https://www.rand.org/pubs/research_memoranda/RM4539.html
Chicago Manual of Style
Bellman, Richard Ernest, H. H. Natsuyama, and Robert E. Kalaba, Invariant imbedding and a reformulation of the internal intensity problem in transport theory. Santa Monica, CA: RAND Corporation, 1965. https://www.rand.org/pubs/research_memoranda/RM4539.html. Also available in print form.
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