Accession Number:

ADA301212

Title:

The Mathematical Development of the End-Point Method

Descriptive Note:

Corporate Author:

TECHNICAL INFORMATION SERVICE (AEC) OAK RIDGE TN

Personal Author(s):

Report Date:

1945-04-10

Pagination or Media Count:

48.0

Abstract:

The end-point method is mathematically developed and its application to the Milne kernel studied in detail. The general solution of the Wiener-Hopf integral equation is first obtained. The Mime kernel appears in applying this method to the integral equation describing the diffusion and multiplication of neutrons in multiplying and scattering media. The neutrons are treated as monochromatic, isotropically scattered and of the same total mean free path in all materials involved. Only problems with spherical symmetry are treated, these being reducible to equivalent infinite slab problems. Solutions are obtained for tamped and untamped spheres in the former case both growing and decaying exponential asymptotic solutions in the tamper are treated in detail. Appendix I treats the effects of the approximations inherent in the end-point method cf. LADC - 79. Appendix II gives the solution of the inhomogeneous Wiener-Hopf equation. AN

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE