Accession Number : AD0614031

Title :   INVARIANT IMBEDDING AND A REFORMULATION OF THE INTERNAL INTENSITY PROBLEM IN TRANSPORT THEORY,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Bellman,R. E. ; Kagiwada,H. H. ; Kalaba,R. E.

Report Date : APR 1965

Pagination or Media Count : 23

Abstract : Modern electronic computers can integrate in the order of one thousand simultaneous nonlinear ordinary differential equations, given a complete set of initial conditions. One of the aims of the theory of invariant imbedding is to show how to use this capability to resolve significant problems in transport theory. In the present paper the authors show 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. (Author)

Descriptors :   (*INTEGRAL EQUATIONS, TRANSPORT PROPERTIES), (*TRANSPORT PROPERTIES, INTEGRAL EQUATIONS), NUMERICAL ANALYSIS, ALGEBRA, DIFFERENTIAL GEOMETRY, INVARIANCE, NEUTRON TRANSPORT THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE