TY - JOUR

T1 - Calculating near-singular eigenvalues of the neutron transport operator with arbitrary order anisotropic scattering

AU - Van den Eynde, Gert

AU - Beauwens, Robert

AU - Mund, Ernest

A2 - Aït Abderrahim, Hamid

A2 - De Bruyn, Didier

N1 - Score = 10

PY - 2010/7/1

Y1 - 2010/7/1

N2 - 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.

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

UR - http://ecm.sckcen.be/OTCS/llisapi.dll/open/ezp_107000

UR - http://knowledgecentre.sckcen.be/so2/bibref/7117

U2 - 10.1016/j.matcom.2010.04.015

DO - 10.1016/j.matcom.2010.04.015

M3 - Article

SN - 0378-4754

VL - 80

SP - 2216

EP - 2230

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 11

ER -