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The discrete-stochastic approaches to solving the linearized Boltzmann equation

Author

Listed:
  • Plotnikov Mikhail

    (Institute of Thermophysics Russian Acad. Sci., prosp. Lavrentieva 1, 630090 Novosibirsk, Russia; e-mail: plotnikov@itp.nsc.ru)

  • Shkarupa Elena

    (Institute of Computational Mathematics and Mathematical Geophysics Russian Acad. Sci., prosp. Lavrentieva 6, 630090 Novosibirsk, Russia; e-mail: sev@osmf.sscc.ru)

Abstract

The test particle Monte Carlo method for solving the linearized Boltzmann equation is considered. The main idea of this work is the construction of the relations between the sample size and the number of grid nodes which guarantee the attainment of the given error level on the base of the theory of discrete-stochastic numerical methods. Three approaches to construction of the upper error bound of the method are suggested. The optimal (in the sense of the obtained upper error bounds) relations between the sample size and the number of grid nodes are constructed.

Suggested Citation

  • Plotnikov Mikhail & Shkarupa Elena, 2005. "The discrete-stochastic approaches to solving the linearized Boltzmann equation," Monte Carlo Methods and Applications, De Gruyter, vol. 11(4), pages 447-462, December.
    • Handle: RePEc:bpj:mcmeap:v:11:y:2005:i:4:p:447-462:n:2
    DOI: 10.1515/156939605777438532
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