Geodesic
On numerical solution to the problem of reactor kinetics with delayed neutrons by Monte Carlo method
Applications of Mathematics, Tome 39 (1994) no. 4, pp. 269-286.

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In this paper, the linear problem of reactor kinetics with delayed neutrons is studied whose formulation is based on the integral transport equation. Besides the proof of existence and uniqueness of the solution, a special random process and random variables for numerical elaboration of the problem by Monte Carlo method are presented. It is proved that these variables give an unbiased estimate of the solution and that their expectations and variances are finite.
DOI : 10.21136/AM.1994.134257
Classification : 45K05, 65C05, 65R20, 82C70, 82C80
Mots-clés : reactor kinetics; integral transport equation; Monte Carlo method 
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     title = {On numerical solution to the problem of reactor kinetics with delayed neutrons by {Monte} {Carlo} method},
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Kyncl, Jan. On numerical solution to the problem of reactor kinetics with delayed neutrons by Monte Carlo method. Applications of Mathematics, Tome 39 (1994) no. 4, pp. 269-286. doi : 10.21136/AM.1994.134257. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134257/

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