Numerical analysis of a kinetic equation with a nonlocal Hamilton-Jacobi limit

par Tino Laidin

mardi 17 févr. 2026, 11:00 → 12:15 Europe/Paris

In this talk, I will present a joint work with H. Hivert, in which we develop and analyze an asymptotic-preserving scheme for a linear kinetic equation in a large deviations regime. The scheme is based on the Duhamel formulation of the equation combined with a semi-Lagrangian approximation, and its asymptotic limit is rigorously established. Using a discrete representation formula, we also prove the convergence of the limit scheme, which correctly recovers the viscosity solution of the limiting nonlocal Hamilton–Jacobi equation. Finally, I will present numerical experiments that confirm the theoretical results and demonstrate the robustness of the method.