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

@inproceedings{Buet1997NumericalAO,
  title={Numerical analysis of conservative and entropic schemes for the Fokker-Planck-Landau equation},
  author={Christophe Buet and S. Cordier},
  year={1997}
}
Conservatives and entropy schemes for the Fokker-Planck-Landau are investigated. We prove the existence of an unique, positive, entropic and global in time solution for the homogeneous linear and non linear discretized (either in the velocity space or both in the velocity and in time) Fokker Planck equation. The stability analysis of these schemes permits us to exhibit sufficient conditions on the time step that guarantees positivity and entropy decay of the scheme. Résumé Nous étudions des sch… CONTINUE READING

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