Error analysis of Fourier–Legendre and Fourier–Hermite spectral-Galerkin methods for the Vlasov–Poisson system

Xiaolong Zhang, Li-Lian Wang, Hongli Jia

Type: Article

Publication Date: 2023-11-01

Citations: 0

DOI: https://doi.org/10.1051/m2an/2023091

Abstract

We conduct a rigorous error analysis of the spectral-Galerkin methods for the 1D-1V Vlasov–Poisson system with the velocity variable in both finite and infinite domains. The estimates significantly improve the very limited existing results. We also provide numerical results to demonstrate the effectiveness of the analysed methods.

Locations

ESAIM. Mathematical modelling and numerical analysis - View - PDF
Springer Link (Chiba Institute of Technology) - View - PDF

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