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

Gert Van den Eynde; Robert Beauwens; Ernest Mund; Hamid Aït Abderrahim; Didier De Bruyn

doi:10.1016/j.matcom.2010.04.015

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

Gert Van den Eynde, Robert Beauwens, Ernest Mund, Hamid Aït Abderrahim, Didier De Bruyn

Research output › peer-review

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.

Original language	English
Pages (from-to)	2216-2230
Journal	Mathematics and Computers in Simulation
Volume	80
Issue number	11
DOIs	https://doi.org/10.1016/j.matcom.2010.04.015
State	Published - 1 Jul 2010

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Cite this

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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.",

keywords = "neutron transport, near-singular eigenvalues, anisotropic scattering",

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A2 - De Bruyn, Didier

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AB - 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.

KW - neutron transport

KW - near-singular eigenvalues

KW - anisotropic scattering

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