### 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) |
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Pages (from-to) | 1633-1638 |

Number of pages | 6 |

Journal | Journal of Mathematical Physics |

Volume | 27 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 1986 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Journal of Mathematical Physics*,

*27*(6), 1633-1638. https://doi.org/10.1063/1.527078

**Multigroup transport equations with nondiagonal cross-section matrices.** / Willis, B. L.; Van Der Mee, C. V.M.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 27, no. 6, pp. 1633-1638. https://doi.org/10.1063/1.527078

}

TY - JOUR

T1 - Multigroup transport equations with nondiagonal cross-section matrices

AU - Willis, B. L.

AU - Van Der Mee, C. V.M.

PY - 1986/1/1

Y1 - 1986/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36549096229&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36549096229&partnerID=8YFLogxK

U2 - 10.1063/1.527078

DO - 10.1063/1.527078

M3 - Article

AN - SCOPUS:36549096229

VL - 27

SP - 1633

EP - 1638

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 6

ER -