TY - JOUR
T1 - Solution of the stochastic point kinetics equations using the implicit Euler-Maruyama method
AU - Suescún-Díaz, Daniel
AU - Oviedo-Torres, Yohan M.
AU - Girón-Cruz, Luis E.
N1 - Publisher Copyright:
© 2018 Elsevier Ltd
PY - 2018/7
Y1 - 2018/7
N2 - In this work, the implicit Euler-Maruyama method is used to solve the stochastic point kinetics equations for different forms of reactivity: constant, linear and sinusoidal. A covariance matrix is proposed considering the one-speed diffusion theory of a nuclear reactor subject to the initial condition applying to the pulsed neutron methods. The results obtained with this method are more efficient in the calculation of neutron densities and delayed neutron precursors. It was possible to reduce the standard deviation with a very good precision for the expected values.
AB - In this work, the implicit Euler-Maruyama method is used to solve the stochastic point kinetics equations for different forms of reactivity: constant, linear and sinusoidal. A covariance matrix is proposed considering the one-speed diffusion theory of a nuclear reactor subject to the initial condition applying to the pulsed neutron methods. The results obtained with this method are more efficient in the calculation of neutron densities and delayed neutron precursors. It was possible to reduce the standard deviation with a very good precision for the expected values.
KW - Implicit Euler-Maruyama
KW - Neutron density
KW - Nuclear reactors
KW - Stochastic point kinetics equations
UR - http://www.scopus.com/inward/record.url?scp=85045893132&partnerID=8YFLogxK
U2 - 10.1016/j.anucene.2018.03.013
DO - 10.1016/j.anucene.2018.03.013
M3 - Article
AN - SCOPUS:85045893132
SN - 0306-4549
VL - 117
SP - 45
EP - 52
JO - Annals of Nuclear Energy
JF - Annals of Nuclear Energy
ER -