A system of stochastic differential equations can accurately model the random behavior of the neutron density and the precursor concentrations in a point reactor. Due to the issue of stiffness, numerical implementation may be challenging. This research focused on studying the influence of stochastic fluctuations upon the results of the neutron point kinetics equations, and to find an approach to obtain a nonstiff solution for the stochastic neutron point kinetics equations.

A system of stochastic differential equations can accurately model the random behavior of the neutron density and the precursor concentrations in a point reactor. Due to the issue of stiffness, numerical implementation may be challenging. This research focused on studying the influence of stochastic fluctuations upon the results of the neutron point kinetics equations, and to find an approach to obtain a nonstiff solution for the stochastic neutron point kinetics equations.

### Publications

[J10] A nonstiff solution for the stochastic neutron point kinetics equations

Milena Wollmann da Silva, Richard Vasques, Bardo E. J. Bodmann, Marco T. Vilhena

Annals of Nuclear Energy, vol. 97(-), 2016, pp. 47-52

[C1] Influence of stochastic moments in the solution of the neutron point kinetics equation

Milena Wollmann da Silva, Bardo E. J. Bodmann, Marco T. Vilhena, Richard Vasques

C. Constanda, A. Kirsch, Integral Methods in Science and Engineering, Springer: Birkhauser Basel, 2015, pp. 613-624

Milena Wollmann da Silva, Bardo E. J. Bodmann, Marco T. Vilhena, Richard Vasques

Proceedings of 7th INAC: International Nuclear Atlantic Conference, São Paulo, Brazil, 2015 Oct