  In the aim of reducing the computational cost of the resolution of
parameter-dependent eigenvalue problems, a model order reduction (MOR)
procedure is proposed. We focus on the case of non-self-adjoint generalized
eigenvalue problems, such as the stationary multigroup neutron diffusion
equations. The method lies in an approximation of the manifold of solutions
using a Proper Orthogonal Decomposition approach. The numerical method is
composed of two stages. In the offline stage, we build a reduced space which
approximates the manifold. In the online stage, for any given new set of
parameters, we solve a reduced problem on the reduced space within a much
smaller computational time than the required time to solve the high-fidelity
problem. This method is applied to core computations in the APOLLO3 code.
