Abstract
A Monte Carlo algorithm admitting parallelization is constructed for estimation of probability moments of the spectral radius of the operator of the integral equation describing transfer of particles with multiplication in a random medium. A randomized homogenization method is developed with the same aim on the base of the theory of small perturbations and diffusive approximation. Test calculations performed for a one-group spherically symmetric model system have shown a satisfactory concordance of results obtained from two models.
| Original language | English |
|---|---|
| Pages (from-to) | 165-172 |
| Number of pages | 8 |
| Journal | Russian Journal of Numerical Analysis and Mathematical Modelling |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 27 Jun 2017 |
Keywords
- effective multiplication factor
- Monte Carlo method
- probability distribution
- radiative transfer.
- Statistical modelling