
Accession Number : AD0691232
Title : NEWTON'S METHOD FOR THE NONLINEAR INTEGRAL EQUATION FOR THE H FUNCTION OF ISOTROPIC SCATTERING,
Corporate Author : RAND CORP SANTA MONICA CALIF
Personal Author(s) : Kagiwada,H. ; Kalaba,R.
Report Date : JUN 1969
Pagination or Media Count : 13
Abstract : The paper presents the application of a version of Newton's method to the numerical solution of a basic nonlinear integral equation in the theory of radiative transfer. A sequence of rapidly convergent approximations to the H function of Chandrasekhar is determined. The method evaluates integrals by means of a gaussian quadrature formula, and the resulting equations can be used to obtain values quickly and accurately.
Descriptors : (*THERMAL RADIATION, INTEGRAL EQUATIONS), (*INTEGRAL EQUATIONS, *NUMERICAL ANALYSIS), LIGHT TRANSMISSION, SCATTERING, ITERATIONS, CONVERGENCE, COMPUTER PROGRAMMING
Subject Categories : Numerical Mathematics
Thermodynamics
Distribution Statement : APPROVED FOR PUBLIC RELEASE