Weighted statistical modelling algorithms with branching and extension of a model ensemble of interacting particles
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Sergey V. Rogasinsky
Abstract
A modification of the weighted statistical modelling of the evolution of an ensemble of interacting particles is constructed for approximate solution of a nonlinear kinetic equation. If the auxiliary weight exceeds one, we propose to use randomized branching of trajectory of the model ensemble of particles or its corresponding extension. Numerical analysis of constructed algorithms is performed for specifically formulated model problem on relaxation of a mixture of two gases with very different concentrations.
Acknowledgement
The author expresses his gratitude to the Corr. Member of the RAS Prof. G. A. Mikhailov for useful advice and remarks.
Funding
The work was supported by the Russian Foundation for Basic Research (projects No. 15–01–00894-a, 15–01–08988-a, 16–01–00530-a), by the Program of Fundamental Research of the Presidium of the RAS (I.33), by the Program ‘Leading Scientific Schools of the Russian Federation’ (project NSh–5111.2014.1).
References
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© 2016 Walter de Gruyter GmbH, Berlin/Boston
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Artikel in diesem Heft
- Frontmatter
- Research Article
- Application of kinetic approach to porous medium flow simulation in environmental hydrology problems on high-performance computing systems
- Research Article
- Weighted Monte Carlo estimators for angular distributions of the solar radiation reflected from a cloud layer
- Research Article
- Weighted statistical modelling algorithms with branching and extension of a model ensemble of interacting particles
- Research Article
- A combined computational algorithm for solving the problem of long surface waves runup on the shore
- Research Article
- Numerical simulation of the performance of an artificial heart valve
