
Accession Number : AD0703721
Title : ON LINEAR INTEGRAL EQUATIONS FOR A CERTAIN CLASS OF HFUNCTIONS 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 RiemannHilbert problem defined on an open contour is discussed. The problem is reduced to a quasiregular integral equation for cases where the sufficient Holder continuity condition is satisfied and the component indices are nonnegative. As an illustration of this procedure, linear integral equations, rather than the usual nonlinear 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