$L_p$ and eigenvalue error estimates for the discrete ordinates method for two-dimensional neutron transport
Artikel i vetenskaplig tidskrift, 1989

The convergence of the discrete ordinates method is studied for angular discretization of the neutron transport equation for a two-dimensional model problem with the constant total cross section and isotropic scattering. Considering a symmetric set of quadrature points on the unit circle, error estimates are derived for the scalar flux in $L_P $ norms for $1 \leqq p \leqq \infty $. A postprocessing procedure giving improved $L_\infty $ estimates is also analyzed. Finally error estimates are given for simple isolated eigenvalues of the solution operator.

LP estimates

eigenvalue estimates

quadrature rule

neutron transport equation


discrete ordinates method scalar flux


Mohammad Asadzadeh

Institutionen för matematik

Göteborgs universitet

SIAM Journal on Numerical Analysis

Vol. 26 66-87