  This paper provides a generalization of the realizability-preserving
discontinuous-Galerkin scheme for quadrature-based minimum-entropy models to
full-moment models of arbitrary order. It is applied to the class of Kershaw
closures, which are able to provide a cheap closure of the moment problem. This
results in an efficient algorithm for the underlying linear transport equation.
The efficiency of high-order methods is demonstrated using numerical
convergence tests and non-smooth benchmark problems.
