241 citations
- Université de RennesFR519 papers
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- Université Rennes 1FR189 papers
- Institut national de recherche en sciences et technologies du numériqueFR81 papers
- École Normale Supérieure de RennesFR38 papers
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- Laboratoire d’Analyse et de Mathématiques AppliquéesFR26 papers
- Laboratoire de Mathématiques Jean LerayFR25 papers
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5 papers · 2 filters
On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions
Xavier Antoine, Qinglin Tang, Yong Zhang
In this paper, we propose some efficient and robust numerical methods to compute the ground states and dynamics of Fractional Schrödinger Equation (FSE) with a rotation term and no…
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…
Asymptotic Preserving numerical schemes for multiscale parabolic problems
Nicolas Crouseilles, Mohammed Lemou, Gilles Vilmart
We consider a class of multiscale parabolic problems with diffusion coefficients oscillating in space at a possibly small scale . Numerical homogenization methods are…
Multiscale numerical schemes for kinetic equations in the anomalous diffusion limit
Nicolas Crouseilles, Hélène Hivert, Mohammed Lemou
We construct numerical schemes to solve kinetic equations with anomalous diffusion scaling. When the equilibrium is heavy-tailed or when the collision frequency degenerates for sma…