82 citations · 558 across the 33 of their papers we have counts for
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math.NA2016★ 17 cited
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…
math.NA2016★ 39 cited
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…