2 papers
math.NA2025
Numerical analysis of the large deviation regime of a kinetic equation with a nonlocal Hamilton-Jacobi limit
Hélène Hivert, Tino Laidin
We develop and study an asymptotic-preserving (AP) numerical scheme for a linear kinetic equation in a large deviation regime. After applying a Hopf-Cole transform to the distribut…
math.NA2024
Structure-preserving scheme for fractional nonlinear diffusion equations
Hélène Hivert, Florian Salin
In this paper, we introduce and analyze a numerical scheme for solving the Cauchy-Dirichlet problem associated with fractional nonlinear diffusion equations. These equations genera…