Использование кинетических моделей и моделирования многочастичных систем в некоторых областях науки

Translated title of the contribution: Application of kinetic models and simulation of multi-particle systems in some fields of science

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Abstract

In this paper we cover our experience applied in the field of multi-particle systems simulation for some problems arising in various fields of science such as rarefied gas dynamics, particle coagulation, vehicular traffic flows, and price formation. All these problems are described by the Boltzmann type equations. To solve them numerically, we apply the approach which uses the integral equation of the second kind and the corresponding Markov chain. The latter is uniquely determined by the coefficients of the integral equation. It allows spreading the well-developed theory of weight Monte Carlo methods to the considered problems
Translated title of the contributionApplication of kinetic models and simulation of multi-particle systems in some fields of science
Original languageRussian
Pages (from-to)3-12
Number of pages10
JournalМатематическое моделирование, компьютерный и натурный эксперимент в естественных науках
Issue number1
Publication statusPublished - 2019

State classification of scientific and technological information

  • 27 MATHEMATICS
  • 27.41 Computational mathematics

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