Thecurrenttrendsofcomputationalanalysesofnuclearreactordynamicsinnormal, incidentand accident scenarios are characterised by the desire to model the relevant physical phenomena with increasing accuracy and to remain within practical limits of computational time. Considering the implications on the modelling of neutronics, it is understood that phase-space-dependent neutron kinetics is necessary in order to achieve the requirements on accuracy. However, the solution of theneutronanddelayedneutronprecursorbalanceequationsbymeansofthetraditionalapproach of direct numerical integration contributes significantly to the computational burden, which is a consequence of the large number of unknowns and the time-stiffness of the system of balance equations.