Accession Number : AD0660096

Title :   EVALUATION OF FUNCTIONALS OF SOLUTIONS OF FREDHOLM INTEGRAL EQUATIONS WITH DISPLACEMENT KERNELS,

Corporate Author : RAND CORP SANTA MONICA CALIF

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

Report Date : OCT 1967

Pagination or Media Count : 12

Abstract : The report gives a simplified method of evaluating functionals of solutions of Fredholm integral equations using the b and h functions reported in AD-648 506. AD-648 506 showed that all the important functions of multiple scattering could be expressed with ease in terms of the simpler b and h, which represent the internal specific intensities in atmospheres illuminated isotropically from the top (b) or bottom (h). A more generalized mathematical treatment is presented in this study. The functions b and h depend on only three variables, whereas I depends on four, and their use avoids a matrix inversion.

Descriptors :   (*INTEGRAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES), SCATTERING, EXPONENTIAL FUNCTIONS, MATHEMATICS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE