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    Multigroup transport equations with nondiagonal cross section matrices

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    LD5655.V856_1985.W548.pdf (2.344Mb)
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    Date
    1985
    Author
    Willis, Barton L.
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    Abstract
    It is shown that multigroup transport equations with nondiagonal cross section matrices arise when the modal approximation is applied to energy dependent transport equations. This work is a study of such equations for the case that the cross section matrix is nondiagonalizable. For the special case of a two-group problem with a noninvertible scattering matrix, the problem is solved completely via the Wiener-Hopf method. For more general problems, generalized Chandrasekhar H equations are derived. A numerical method for their solution is proposed. Also, the exit distribution is written in terms of the H functions.
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    http://hdl.handle.net/10919/49963
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    • Doctoral Dissertations [14965]

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