19 citations · 26 across the 3 of their papers we have counts for
3 papers
Physics-based adaptivity of a spectral method for the Vlasov-Poisson equations based on the asymmetrically-weighted Hermite expansion in velocity space
Cecilia Pagliantini, Gian Luca Delzanno, Stefano Markidis
We propose a spectral method for the 1D-1V Vlasov-Poisson system where the discretization in velocity space is based on asymmetrically-weighted Hermite functions, dynamically adapt…
Energy-conserving explicit and implicit time integration methods for the multi-dimensional Hermite-DG discretization of the Vlasov-Maxwell equations
Cecilia Pagliantini, Gianmarco Manzini, Oleksandr Koshkarov +2
We study the conservation properties of the Hermite-discontinuous Galerkin (Hermite-DG) approximation of the Vlasov-Maxwell equations. In this semi-discrete formulation, the total…
The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations
Oleksandr Koshkarov, Gianmarco Manzini, Gian Luca Delzanno +2
We discuss the development, analysis, implementation, and numerical assessment of a spectral method for the numerical simulation of the three-dimensional Vlasov-Maxwell equations.…