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
VL - 36
SP - 179
EP - 197
JO - Transport Theory and Statistical Physics
JF - Transport Theory and Statistical Physics
SN - 0041-1450
IS - 1-3
ER -