A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case

Lorenzo Pareschi; Bernt Wennberg

doi:10.1515/mcma.2001.7.3-4.349

A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case

Lorenzo Pareschi^*
, Bernt Wennberg

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We present a recursive Monte Carlo method for the numerical solution of the Boltzmann equation. The method is based on the Wild sum expansion of the solution in the Maxwellian case. The recursive structure is used efficiently to obtain uniform accuracy in time, a very desirable property in many practical applications. Numerical examples of some space homogeneous computations are given.

Original language	English
Pages (from-to)	349-357
Number of pages	9
Journal	Monte Carlo Methods and Applications
Volume	7
Issue number	3-4
DOIs	https://doi.org/10.1515/mcma.2001.7.3-4.349
Publication status	Published - Jan 2001

ASJC Scopus subject areas

Statistics and Probability
Applied Mathematics

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10.1515/mcma.2001.7.3-4.349

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abstract = "We present a recursive Monte Carlo method for the numerical solution of the Boltzmann equation. The method is based on the Wild sum expansion of the solution in the Maxwellian case. The recursive structure is used efficiently to obtain uniform accuracy in time, a very desirable property in many practical applications. Numerical examples of some space homogeneous computations are given.",

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AU - Wennberg, Bernt

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AB - We present a recursive Monte Carlo method for the numerical solution of the Boltzmann equation. The method is based on the Wild sum expansion of the solution in the Maxwellian case. The recursive structure is used efficiently to obtain uniform accuracy in time, a very desirable property in many practical applications. Numerical examples of some space homogeneous computations are given.

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ER -

A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case

Abstract

ASJC Scopus subject areas

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