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Abstract

This article studies the reduction of fluctuations in the calculation of nuclear reactivity using the Simpson’s 3/8 rule and a 1st order low-pass filter. Numerical experiments are performed for several time steps and standard deviations. It is assumed that the density of the neutron population has Gaussian noise around a mean value. The results indicate that the method can be used for time steps of up to 0.1s with standard deviations of up to 0.1 without having any limitation on the assumption of the neutron density form.