122 citations · 372 across the 25 of their papers we have counts for
28 papers
Exponential DG methods for Vlasov equations
Nicolas Crouseilles, Xue Hong
In this work, an exponential Discontinuous Galerkin (DG) method is proposed to solve numerically Vlasov type equations. The DG method is used for space discretization which is comb…
High order asymptotic preserving scheme for linear kinetic equations with diffusive scaling
Megala Anandan, Benjamin Boutin, Nicolas Crouseilles
In this work, high order asymptotic preserving schemes are constructed and analysed for kinetic equations under a diffusive scaling. The framework enables to consider different cas…
Conservative stabilized Runge-Kutta methods for the Vlasov-Fokker-Planck equation
Ibrahim Almuslimani, Nicolas Crouseilles
In this work, we aim at constructing numerical schemes, that are as efficient as possible in terms of cost and conservation of invariants, for the Vlasov--Fokker--Planck system cou…
Exact splitting methods for kinetic and Schr{ö}dinger equations
Joackim Bernier, Nicolas Crouseilles, Yingzhe Li
In [8], some exact splittings are proposed for inhomogeneous quadratic differential equations including, for example, transport equations, kinetic equations, and Schr{ö}dinger type…
Exponential methods for solving hyperbolic problems with application to kinetic equations
Nicolas Crouseilles, Lukas Einkemmer, Josselin Massot
The efficient numerical solution of many kinetic models in plasma physics is impeded by the stiffness of these systems. Exponential integrators are attractive in this context as th…
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou +2
In this paper, we consider the three dimensional Vlasov equation with an inhomogeneous, varying direction, strong magnetic field. Whenever the magnetic field has constant intensity…