A deterministic particle method for nonlinear diffusion equations

Authors
Lions, PL Mas-Gallic, S
Citation
Pl. Lions et S. Mas-gallic, A deterministic particle method for nonlinear diffusion equations, CR AC S I, 332(4), 2001, pp. 369-376
Citations number
14
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
4
Year of publication
2001
Pages
369 - 376
Database
ISI
SICI code
0764-4442(20010215)332:4<369:ADPMFN>2.0.ZU;2-J
Abstract
We study in this Note a deterministic particle method for heat (or Fokker-P lanck) equations or for porous media equations. This method is based upon a n approximation of these equations by nonlinear transport equations and we prove the convergence of that approximation. Finally, we present some numer ical experiments for the hear equation and for an example of porous media e quations. (C) 2001 Academie des sciences/Editions scientifiques et medicale s Elsevier SAS.