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.
Funding source: Russian Foundation for Basic Research
Award Identifier / Grant number: 15–01–08988
Funding statement: The work was supported by the Program of Fundamental Research of the Presidium of the RAS I.33II, by the Russian Foundation for Basic Research (projects no. 15–01–08988, 15–01–00894, 16–01–00530, 16–01–00145, 17–01–00823.
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Articles in the same Issue
- Frontmatter
- The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with ‘liquid’ boundaries
- New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media
- Asymptotic approximations for the stationary radiative-conductive heat transfer problem in the two-dimensional system of plates
- Variational assimilation of mean daily observation data for the problem of sea hydrothermodynamics
- Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method
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Articles in the same Issue
- Frontmatter
- The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with ‘liquid’ boundaries
- New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media
- Asymptotic approximations for the stationary radiative-conductive heat transfer problem in the two-dimensional system of plates
- Variational assimilation of mean daily observation data for the problem of sea hydrothermodynamics
- Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method
- Numerical investigation of diagnostic properties of p53-dependent microRNAs