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

Ilgis Ibragimov & Sergej Rjasanow

DOI:

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.

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COPYRIGHT: © Global Science Press

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@Article{JCM-27-184, author = {}, 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 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 KW - Deterministic scheme KW - 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 & Sergej Rjasanow. (2019). Three Way Decomposition for the Boltzmann Equation. Journal of Computational Mathematics. 27 (2-3). 184-195. doi:
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