22–24 May 2024
INRIA
Europe/Paris timezone

Pauline Lafitte - Towards a scheme of uniform order in time for the Fokker-Planck equation

24 May 2024, 11:45
45m
Aurigny (INRIA)

Aurigny

INRIA

Campus de Beaulieu, 263 Av. Général Leclerc, 35042 Rennes

Description

The sensitive issue of the discretisation of Neumann's boundary condition for a Fokker-Planck equation while preserving self-adjointness led us to the study of an inconsistent scheme for the evolutionary or stationary heat equation. Together with Guillaume Dujardin, we showed the uniform convergence in time at order 1/2 for this last scheme, under a classical stability condition, and pursue this study for the Fokker-Planck equation.
This order of convergence is also the one obtained numerically.

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