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math.NA2015
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…
math.NA2015★ 4 cited
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…