The proceedings of the Workshop on Neutrons and Numerical Methods brings together recent research which combines neutron scattering experiments and numerical modeling of interatomic forces. Since the neutron probes directly the neutron motion, a quantitative comparison of the experimental and numerical results is made. These numerical simulations give a much deeper insight into the structure and dynamics being studied. Furthermore, neutron data constitute a rigorous test of the ever-increasing number of numerical methods available, many of which are presented here. The data enable the simulation method best suited to the system under study to be selected.