NEWTON'S METHOD FOR THE NONLINEAR INTEGRAL EQUATION FOR THE H FUNCTION OF ISOTROPIC SCATTERING,

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.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1969
Accession Number
AD0691232

Entities

People

  • Harriet H. Kagiwada
  • Robert E. Kalaba

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Equations
  • Gaussian Quadrature
  • Integral Equations
  • Integrals
  • Mathematics
  • Radiative Transfer
  • Scattering

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis