231 citations
- Centre National de la Recherche ScientifiqueFR38 papers
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- Institute of Nuclear Physics of LyonFR7 papers
- Consejo Superior de Investigaciones CientíficasES6 papers
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- Institut de Physique des 2 Infinis de LyonFR5 papers
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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
Numerical approximation of a class of constrained Hamilton-Jacobi equations
Benoît Gaudeul, Hélène Hivert
In this paper, we introduce a framework for the discretization of a class of constrained Hamilton-Jacobi equations, a system coupling a Hamilton-Jacobi equation with a Lagrange mul…