2 citations · 3 across the 2 of their papers we have counts for
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Nonlocal particle approximation for linear and fast diffusion equations
José Antonio Carrillo, Antonio Esposito, Jakub Skrzeczkowski +1
We construct deterministic particle solutions for linear and fast diffusion equations using a nonlocal approximation. We exploit the -Wasserstein gradient flow structure of the…
Convergence of a particle method for a regularized spatially homogeneous Landau equation
José A. Carrillo, Matias G. Delgadino, Jeremy S. H. Wu
We study a regularized version of the Landau equation, which was recently introduced in~\cite{CHWW20} to numerically approximate the Landau equation with good accuracy at reasonabl…
A particle method for the homogeneous Landau equation
Jose A. Carrillo, Jingwei Hu, Li Wang +1
We propose a novel deterministic particle method to numerically approximate the Landau equation for plasmas. Based on a new variational formulation in terms of gradient flows of th…