Cuadraturas de Gauss-Legendre para resolver numéricamente la ecuación inversa de la cinética puntual.

The present study develops a new method for calculating reactivity by using the Gauss-Legendre quadrature to numerically solve the inverse point kinetic equation. This quadrature can use different nodes and weights from Legendre polynomials with different orders. The results show good accuracy for polynomial higher orders with small time steps. The discretization obtained with the Gauss-Legendre quadrature allows expressing the reactivity calculation in the form of linear convolutions for integral dependence. The differential is approximated with a special quadrature by taking advantage of the behavior of the Lagrange polynomials. Results can be improved, but increases computational cost. It is concluded that the method developed here can be implemented in a reactivity digital meter that measures neutron populations as input signals for a nuclear reactor. [ABSTRACT FROM AUTHOR]