On the Chang and Cooper scheme applied to a linear Fokker-Planck equation
Buet, Christophe ; Dellacherie, Stéphane
Commun. Math. Sci., Tome 8 (2010) no. 1, p. 1079-1090 / Harvested from Project Euclid
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We show that for a particular linear Fokker-Planck operator, the explicit Chang and Cooper scheme is positive and entropy satisfying under a CFL criterion when the initial condition is positive. Then, we deduce that the distribution given by the explicit Chang and Cooper scheme converges toward a discrete Maxwellian equilibrium.
Publié le : 2010-12-15
Classification:  Kinetic equation,  Fokker-Planck-Landau operator,  explicit Chang and Cooper scheme,  positive and entropy satisfying scheme,  65M06,  65M12,  82C40,  82D10 
@article{1288725273,
     author = {Buet, Christophe and Dellacherie, St\'ephane},
     title = {On the Chang and Cooper scheme applied to a linear Fokker-Planck equation},
     journal = {Commun. Math. Sci.},
     volume = {8},
     number = {1},
     year = {2010},
     pages = { 1079-1090},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1288725273}
}

Buet, Christophe; Dellacherie, Stéphane. On the Chang and Cooper scheme applied to a linear Fokker-Planck equation. Commun. Math. Sci., Tome 8 (2010) no. 1, pp.  1079-1090. http://gdmltest.u-ga.fr/item/1288725273/