187 citations · 1.1k across the 80 of their papers we have counts for
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Energy and implicit discretization of the Fokker-Planck and Keller-Segel type equations
Luís Neves de Almeida, Federica Bubba, Benoît Perthame +1
The parabolic-elliptic Keller-Segel equation with sensitivity saturation, because of its pattern formation ability, is a challenge for numerical simulations. We provide two finite-…
Semi-discretization for stochastic scalar conservation laws with multiple rough fluxes
Benjamin Gess, Benoît Perthame, Panagiotis E. Souganidis
We develop a semi-discretization approximation for scalar conservation laws with multiple rough time dependence in inhomogeneous fluxes. The method is based on Brenier's transport-…
Numerical Solution of an Inverse Problem in Size-Structured Population Dynamics
Marie Doumic Jauffret, Benoît Perthame, Jorge P. Zubelli
We consider a size-structured model for cell division and address the question of determining the division (birth) rate from the measured stable size distribution of the population…