Study and optimization of \(N\)-particle numerical statistical algorithm for solving the Boltzmann equation

DOI10.1134/S0965542524700246MaRDI QIDQ6556267

S. V. Rogazinskii, Galiya Z. Lotova, G. A. Mikhaĭlov

Publication date: 17 June 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Monte Carlo methodBoltzmann equationstatistical modelingmolecular chaosmajorizing frequency method\(N\)-particle Markov chain

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Numerical-statistical study of the prognostic efficiency of the SEIR model
• Exact solutions of the nonlinear Boltzmann equation and the theory of relaxation of a Maxwellian gas
• Direct statistical simulation of collisional relaxation in mixtures of gases with a large difference in concentrations
• Analysis of a stage-dependent epidemic model based on a non-Markov random process
• A check of a non-linear scheme for the Monte Carlo method
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