2 papers
math.AP2025
Infinitely many saturated travelling waves for a degenerate Fisher-KPP equation not in divergence form
Matthieu Alfaro, Maxime Herda, Andrea Natale
We consider an epidemic model with distributed-contacts. When the contact kernel concentrates, one formally reaches a very degenerate Fisher-KPP equation with a diffusion term that…
math.AP2024
Discretizing the Fokker-Planck equation with second-order accuracy: a dissipation driven approach
Clément Cancès, Léonard Monsaingeon, Andrea Natale
We propose a fully discrete finite volume scheme for the standard Fokker-Planck equation. The space discretization relies on the well-known square-root approximation, which falls i…