Accession Number : AD0703721

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

Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH APPLIED MATHEMATICS RESEARCH GROUP

Personal Author(s) : Burniston,E. E. ; Siewert,C. E.

Report Date : 16 MAR 1970

Pagination or Media Count : 18

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)

Descriptors :   (*NEUTRON TRANSPORT THEORY, INTEGRAL EQUATIONS), (*THERMAL RADIATION, INTEGRAL EQUATIONS), (*INTEGRAL EQUATIONS, NUMERICAL ANALYSIS), ITERATIONS, MATRICES(MATHEMATICS), COMPLEX VARIABLES

Subject Categories : Theoretical Mathematics
      Fission Reactor Physics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE