Geodesic
A deterministic particle-in-cell method for solving the problems of
Numerical methods and programming, Tome 12 (2011) no. 3, pp. 368-374

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A method for the numerical solution of the Boltzmann equation is proposed. The method belongs to the family of deterministic particle-in-cell methods. Some numerical results of its application to the homogeneous relaxation of a gas are discussed. The development of such a method becomes feasible due to the possibility of representing the collision integral in divergent form.
Keywords: rarefied gas dynamics; Boltzmann equation; numerical methods. 
@article{VMP_2011_12_3_a7,
     author = {E. A. Malkov and M. S. Ivanov},
     title = {A deterministic particle-in-cell method for solving the problems of},
     journal = {Numerical methods and programming},
     pages = {368--374},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2011_12_3_a7/}
}
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E. A. Malkov; M. S. Ivanov. A deterministic particle-in-cell method for solving the problems of. Numerical methods and programming, Tome 12 (2011) no. 3, pp. 368-374. http://geodesic.mathdoc.fr/item/VMP_2011_12_3_a7/