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Volume 27, Issue 2-3
Three Way Decomposition for the Boltzmann Equation

Ilgis Ibragimov & Sergej Rjasanow

J. Comp. Math., 27 (2009), pp. 184-195.

Published online: 2009-04

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  • Abstract

The initial value problem for the spatially homogeneous Boltzmann equation is considered. A deterministic numerical scheme for this problem is developed by the use of the three way decomposition of the unknown function as well as of the collision integral. On this way, almost linear complexity of the algorithm is achieved. Some numerical examples are presented.

  • Keywords

Boltzmann equation, Deterministic scheme, Three way decomposition.

  • AMS Subject Headings

82C40, 82C80, 65R20.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-27-184, author = {Ilgis Ibragimov and Sergej Rjasanow}, title = {Three Way Decomposition for the Boltzmann Equation}, journal = {Journal of Computational Mathematics}, year = {2009}, volume = {27}, number = {2-3}, pages = {184--195}, abstract = {

The initial value problem for the spatially homogeneous Boltzmann equation is considered. A deterministic numerical scheme for this problem is developed by the use of the three way decomposition of the unknown function as well as of the collision integral. On this way, almost linear complexity of the algorithm is achieved. Some numerical examples are presented.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8567.html} }
TY - JOUR T1 - Three Way Decomposition for the Boltzmann Equation AU - Ilgis Ibragimov & Sergej Rjasanow JO - Journal of Computational Mathematics VL - 2-3 SP - 184 EP - 195 PY - 2009 DA - 2009/04 SN - 27 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8567.html KW - Boltzmann equation, Deterministic scheme, Three way decomposition. AB -

The initial value problem for the spatially homogeneous Boltzmann equation is considered. A deterministic numerical scheme for this problem is developed by the use of the three way decomposition of the unknown function as well as of the collision integral. On this way, almost linear complexity of the algorithm is achieved. Some numerical examples are presented.

Ilgis Ibragimov and Sergej Rjasanow. (2009). Three Way Decomposition for the Boltzmann Equation. Journal of Computational Mathematics. 27 (2-3). 184-195. doi:
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