TY - JOUR

T1 - Calculating the discrete spectrum of the transport operator with arbitrary order anisotropic scattering

AU - Van den Eynde, Gert

AU - Beauwens, Robert

AU - Mund, Ernest

A2 - Aït Abderrahim, Hamid

N1 - Score = 10

PY - 2007/9

Y1 - 2007/9

N2 - We consider here the numerical determination of the discrete spectrum of the neutron transport operator in homogeneous subcritical infinite medium in the
case of highly anisotropic scattering. Under mild assumptions on the scattering coefficients, one knows that the discrete spectrum is a finite set whose elements are real with absolute values larger than one. Under these assumptions, we describe a method to compute all eigenvalues for an arbitrary order of anisotropic scattering. The method has been implemented in a C++ library using IEEE double precision arithmetic, allowing for fast calculations. Numerical results are compared to values in literature and to high-precision calculations using MAPLE

AB - We consider here the numerical determination of the discrete spectrum of the neutron transport operator in homogeneous subcritical infinite medium in the
case of highly anisotropic scattering. Under mild assumptions on the scattering coefficients, one knows that the discrete spectrum is a finite set whose elements are real with absolute values larger than one. Under these assumptions, we describe a method to compute all eigenvalues for an arbitrary order of anisotropic scattering. The method has been implemented in a C++ library using IEEE double precision arithmetic, allowing for fast calculations. Numerical results are compared to values in literature and to high-precision calculations using MAPLE

KW - neutron transport operator

KW - discrete spectrum

KW - anisotropic scattering

UR - http://ecm.sckcen.be/OTCS/llisapi.dll/open/ezp_83873

UR - http://knowledgecentre.sckcen.be/so2/bibref/4521

U2 - 10.1080/00411450701456923

DO - 10.1080/00411450701456923

M3 - Article

SN - 0041-1450

VL - 36

SP - 179

EP - 197

JO - Transport Theory and Statistical Physics

JF - Transport Theory and Statistical Physics

IS - 1-3

ER -