Meshless local Petrov-Galerkin solution of the neutron transport equation with streamline-upwind Petrov-Galerkin stabilization.

•SUPG stabilization facilitates solution of the MLPG neutron transport equation.•MLS functions and SUPG stabilization permit enforcement of particle conservation.•Spatially-dependent cross sections are included directly in the weak form integration.•The MLPG equations exhibit second-order convergence to benchmark solutions.