ON LINEAR INTEGRAL EQUATIONS FOR A CERTAIN CLASS OF H-FUNCTIONS APPLICABLE TO THE THEORY OF NEUTRON TRANSPORT AND RADIATIVE TRANSFER,

Abstract

A matrix version of the classical Riemann-Hilbert problem defined on an open contour is discussed. The problem is reduced to a quasi-regular integral equation for cases where the sufficient Holder continuity condition is satisfied and the component indices are non-negative. As an illustration of this procedure, linear integral equations, rather than the usual non-linear forms, for Chandrasekhar's functions H sub l(u) and H sub r(u) are established in a form amenable to solution by numerical iteration. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 16, 1970
Accession Number
AD0703721

Entities

People

  • C. E. Siewert
  • E. E. Burniston

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Continuity
  • Equations
  • Integral Equations
  • Integrals
  • Iterations
  • Mathematical Analysis
  • Mathematics
  • Radiative Transfer
  • Transport Ships

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra