82 citations · 558 across the 33 of their papers we have counts for
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Anti-symmetric and Positivity Preserving Formulation of a Spectral Method for Vlasov-Poisson Equations
Opal Issan, Oleksandr Koshkarov, Federico D. Halpern +2
We analyze the anti-symmetric properties of a spectral discretization for the one-dimensional Vlasov-Poisson equations. The discretization is based on a spectral expansion in veloc…
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…
Convergence of spectral discretizations of the Vlasov-Poisson system
Gianmarco Manzini, Daniele Funaro, Gian Luca Delzanno
We prove the convergence of a spectral discretization of the Vlasov-Poisson system. The velocity term of the Vlasov equation is discretized using either Hermite functions on the in…
A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system
G. Manzini, G. L. Delzanno, J. Vencels +1
We present the design and implementation of an L2-stable spectral method for the discretization of the Vlasov- Poisson model of a collisionless plasma in one space and velocity dim…