CONSERVATIVE AND ENTROPY DECAYING NUMERICAL SCHEME FOR THE ISOTROPIC FOKKER-PLANCK-LANDAU EQUATION

Authors
BUET C CORDIER S
Citation
C. Buet et S. Cordier, CONSERVATIVE AND ENTROPY DECAYING NUMERICAL SCHEME FOR THE ISOTROPIC FOKKER-PLANCK-LANDAU EQUATION, Journal of computational physics (Print), 145(1), 1998, pp. 228-245
Citations number
20
Categorie Soggetti
Computer Science Interdisciplinary Applications","Physycs, Mathematical","Computer Science Interdisciplinary Applications","Physycs, Mathematical
Journal title
Journal of computational physics (Print) → ACNP
ISSN journal
00219991
Volume
145
Issue
1
Year of publication
1998
Pages
228 - 245
Database
ISI
SICI code
0021-9991(1998)145:1<228:CAEDNS>2.0.ZU;2-O
Abstract
Homogeneous Fokker-Planck-Landau equation denoted by FPLE is studied f or Coulombian and isotropic distribution function, i.e. when the distr ibution function depends only on time and on the modulus of the veloci ty. We derive a new conservative and entropy decaying semi-discretized FPLE for which Lye prove the existence of global in time, positive. F or the time-discretized equation, we give upper bound for the time ste p which guarantes positivity and entropy decay of the numerical soluti on. (C) 1998 Academic Press.