Author:
Zhang Xiaolong,Wang Li-Lian,Jia Hongli
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.
Funder
Ministry of Education - Singapore
Natural Science Foundation
Natural Science Foundation of Hunan
China Scholarship Council