Multigroup transport equations with nondiagonal cross-section matrices

B. L. Willis; C. V.M. Van Der Mee

doi:10.1063/1.527078

Multigroup transport equations with nondiagonal cross-section matrices

B. L. Willis, C. V.M. Van Der Mee

Mathematics and Statistics

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Abstract

Multigroup transport equations with nondiagonal cross-section matrices are studied using the Wiener-Hopf method. Formulas for the solution and the exit distribution are given in terms of the factorization of the symbol of the Wiener-Hopf equation. Unlike the formulas for a diagonal cross-section matrix, these formulas involve derivatives of the H-functions. For the case of two groups, the H-functions are computed explicitly.

Original language	English (US)
Pages (from-to)	1633-1638
Number of pages	6
Journal	Journal of Mathematical Physics
Volume	27
Issue number	6
DOIs	https://doi.org/10.1063/1.527078
State	Published - 1986

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.527078

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title = "Multigroup transport equations with nondiagonal cross-section matrices",

abstract = "Multigroup transport equations with nondiagonal cross-section matrices are studied using the Wiener-Hopf method. Formulas for the solution and the exit distribution are given in terms of the factorization of the symbol of the Wiener-Hopf equation. Unlike the formulas for a diagonal cross-section matrix, these formulas involve derivatives of the H-functions. For the case of two groups, the H-functions are computed explicitly.",

author = "Willis, {B. L.} and {Van Der Mee}, {C. V.M.}",

year = "1986",

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Multigroup transport equations with nondiagonal cross-section matrices

Abstract

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