Numerical analysis of conservative and entropy schemes for the Fokker-Planck-Landau equation

Authors
Buet, C Cordier, S
Citation
C. Buet et S. Cordier, Numerical analysis of conservative and entropy schemes for the Fokker-Planck-Landau equation, SIAM J NUM, 36(3), 1999, pp. 953-973
Citations number
30
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
36
Issue
3
Year of publication
1999
Pages
953 - 973
Database
ISI
SICI code
0036-1429(19990429)36:3<953:NAOCAE>2.0.ZU;2-3
Abstract
Conservatives and entropy schemes for the Fokker-Planck-Landau (FPL) equati on are studied. We prove the existence of a unique positive and global in t ime solution for the homogeneous linear and nonlinear discretized (either i n the velocity space or both in the velocity space and in time) FPL equatio n. The stability analysis of these schemes leads to sufficient conditions o n the time-step that guarantee positivity and entropy decay.