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- Nicolas Crouseilles, Michel Mehrenberger, Eric SonnendrÃ¼cker
- J. Comput. Physics
- 2010

Conservative methods for the numerical solution of the Vlasov equation are developed in the context of the one-dimensional splitting. In the case of constant advection, these methods and theâ€¦ (More)

In this work, we extend the micro-macro decomposition based numerical schemes developed in [3] to the collisional Vlasov-Poisson model in the diffusion and high-field asymptotics. In doing so, weâ€¦ (More)

Abstract. We present a discontinuous Galerkin scheme for the numerical approximation of the onedimensional periodic Vlasov-Poisson equation. The scheme is based on a Galerkin-characteristics methodâ€¦ (More)

- R. Belaouar, Nicolas Crouseilles, Pierre Degond, Eric SonnendrÃ¼cker
- J. Sci. Comput.
- 2009

This paper deals with the numerical simulations of the Vlasov-Poisson equation using a phase space grid in the quasi-neutral regime. In this limit, explicit numerical schemes suffer from numericalâ€¦ (More)

- Nicolas Crouseilles, Thomas Respaud, Eric SonnendrÃ¼cker
- Computer Physics Communications
- 2009

This work deals with the numerical solution of the Vlasov equation. This equation gives a kinetic description of the evolution of a plasma, and is coupled with Poissonâ€™s equation for the computationâ€¦ (More)

- Nicolas Crouseilles, Guillaume Latu, Eric SonnendrÃ¼cker
- J. Comput. Physics
- 2009

A method for computing the numerical solution of Vlasov type equations on massively parallel computers is presented. In contrast with Particle In Cell methods which are known to be noisy, the methodâ€¦ (More)

- Nicolas Crouseilles, Guillaume Latu, Eric SonnendrÃ¼cker
- Applied Mathematics and Computer Science
- 2007

This work is devoted to the numerical simulation of the Vlasov equation using a phase space grid. In contrast to ParticleIn-Cell (PIC) methods, which are known to be noisy, we propose aâ€¦ (More)

- Mihai Bostan, Nicolas Crouseilles
- Numerische Mathematik
- 2009

The subject matter of this paper concerns the numerical approximation of reduced Vlasov-Maxwell models by semi-Lagrangian schemes. Such reduced systems have been introduced recently in the literatureâ€¦ (More)

- Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou
- J. Comput. Physics
- 2015

â€” A new splitting is proposed for solving the Vlasovâ€“Maxwell system. This splitting is based on a decomposition of the Hamiltonian of the Vlasovâ€“Maxwell system and allows for the construction ofâ€¦ (More)

- Nicolas Crouseilles, Lukas Einkemmer, Erwan Faou
- ArXiv
- 2014