This paper addresses non-linear gyrokinetic simulations of ion temperature gradient (ITG)
turbulence in tokamak plasmas. The electrostatic GYSELA code is one of the few …

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 …

This work deals with the numerical solution of the Vlasov equation, which provides a kinetic
description of the evolution of a plasma, and is coupled with Poisson's equation. A new …

Abstract “Generalized Hydrodynamics”(GHD) stands for a model that describes one-
dimensional integrable systems in quantum physics, such as ultra-cold atoms or spin chains …

A new scheme for solving the Vlasov equation using an unstructured mesh for the phase
space is proposed. The algorithm is based on the semi-Lagrangian method which exploits …

The purpose of the present paper is to compare two semi-Lagrangian methods in the context
of the four-dimensional Vlasov–Poisson equation. More specifically, our goal is to compare …

We introduce and analyze two new semi-discrete numerical methods for the multi-
dimensional Vlasov–Poisson system. The schemes are constructed by combining a …

Abstract We consider the Vlasov–Poisson equation in a Hamiltonian framework and derive
new time splitting methods based on the decomposition of the Hamiltonian functional …

We construct a new family of semi-discrete numerical schemes for the approximation of the
one-dimensional periodic Vlasov-Poisson system. The methods are based on the coupling …

The validity of quasilinear (QL) theory describing the weak warm beam–plasma instability
has been a controversial topic for several decades. This issue is tackled anew, both …