| Issue |
ESAIM: M2AN
Volume 57, Number 6, November-December 2023
|
|
|---|---|---|
| Page(s) | 3637 - 3668 | |
| DOI | https://doi.org/10.1051/m2an/2023091 | |
| Published online | 22 December 2023 | |
Error analysis of Fourier–Legendre and Fourier–Hermite spectral-Galerkin methods for the Vlasov–Poisson system
1
MOE-LCSM, CHP-LCOCS, School of Mathematics and Statistics, Hunan Normal University, Changsha 410081, P.R. China
2
Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371, Singapore
3
Department of Statistics, School of Science, Donghua University, Shanghai 200063, P.R. China
* Corresponding author: lilian@ntu.edu.sg
Received:
23
October
2022
Accepted:
6
November
2023
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.
Mathematics Subject Classification: 76M22 / 65N35 / 65N12 / 35Q83
Key words: The Vlasov–Poisson system / Fourier–Legendre spectral method / Fourier–Hermite spectral method / error analysis
© The authors. Published by EDP Sciences, SMAI 2023
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