90 citations · 370 across the 42 of their papers we have counts for
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On numerical Landau damping for splitting methods applied to the Vlasov-HMF model
Erwan Faou, Romain Horsin, Frédéric Rousset
We consider time discretizations of the Vlasov-HMF (Hamiltonian Mean-Field) equation based on splitting methods between the linear and non-linear parts. We consider solutions start…
High-order Hamiltonian splitting for Vlasov-Poisson equations
Fernando Casas, Nicolas Crouseilles, Erwan Faou +1
We consider the Vlasov-Poisson equation in a Hamiltonian framework and derive new time splitting methods based on the decomposition of the Hamiltonian functional between the kineti…
Collision of almost parallel vortex filaments
Valeria Banica, Erwan Faou, Evelyne Miot
We investigate the occurrence of collisions in the evolution of vortex filaments through a system introduced by Klein, Majda and Damodaran [KMD95] and Zakharov [Z88,Z99]. We first…