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

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Esaim-Probability and Statistics Pub Date : 2023-11-15 DOI:10.1051/m2an/2023091

XIAOLONG ZHANG, Li-Lian Wang, HONGLI JIA

引用次数: 0

Abstract

We conduct a rigorous error analysis of the spectral-Galerkin methods for the 1D1V Vlasov-Poisson system with the velocity variable in both a finite or an infinite domain. The estimates significantly improve the very limited existing results. We also provide numerical results to demonstrate the effectiveness of the analysed methods.

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Vlasov-Poisson系统Fourier-Legendre和Fourier-Hermite谱伽辽金方法的误差分析

在有限域和无限域中分别对速度变量为1D1V的Vlasov-Poisson系统的谱伽辽金方法进行了严格的误差分析。这些估计大大改善了非常有限的现有结果。数值结果证明了所分析方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Esaim-Probability and Statistics STATISTICS & PROBABILITY-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research and survey papers in the area of Probability and Statistics. It covers theoretical and practical aspects, in any field of these domains. Of particular interest are methodological developments with application in other scientific areas, for example Biology and Genetics, Information Theory, Finance, Bioinformatics, Random structures and Random graphs, Econometrics, Physics. Long papers are very welcome. Indeed, we intend to develop the journal in the direction of applications and to open it to various fields where random mathematical modelling is important. In particular we will call (survey) papers in these areas, in order to make the random community aware of important problems of both theoretical and practical interest. We all know that many recent fascinating developments in Probability and Statistics are coming from "the outside" and we think that ESAIM: P&S should be a good entry point for such exchanges. Of course this does not mean that the journal will be only devoted to practical aspects.