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On two numerical schemes of the Monte Carlo method for solving the Boltzmann equation

✍ Scribed by N. M. Moskaleva


Book ID
111502645
Publisher
Allerton Press, Inc.
Year
2010
Tongue
English
Weight
200 KB
Volume
43
Category
Article
ISSN
1063-4541

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On the convergence of numerical schemes
✍ T. Horsin; S. Mischler; A. Vasseur πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 201 KB

We consider a time and spatial explicit discretisation scheme for the Boltzmannequation. We prove some Maxwellian bounds on the resulting approximated solution anddeduce its convergence using a new time-discrete averaging lemma. ο›™ 2003 Γ‰ditions scientifiques et mΓ©dicales Elsevier SAS MSC: 35A35; 65L