Calculating near-singular eigenvalues of the neutron transport operator with arbitrary order anisotropic scattering

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Abstract

In this paper, a new method is presented to calculate the so-called near-singular eigenvalues of the neutron transport operator. The neutron transport operator can have anisotropic scattering up to an arbitrary order. The near-singular eigenvalues are eigenvalues that are so close to the continuum interval [-1,+1] that they have to be represented as 1+delta where delta can be very small.

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Original languageEnglish
Pages (from-to)2216-2230
JournalMathematics and Computers in Simulation
Volume80
Issue number11
DOIs
Publication statusPublished - 1 Jul 2010

Keywords

  • neutron transport, near-singular eigenvalues, anisotropic scattering

ID: 129279