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