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On the stability of spectral methods for the homogeneous Boltzmann equation

 

作者: L. Pareschi,   G. Russo,  

 

期刊: Transport Theory and Statistical Physics  （Taylor Available online 2000）
卷期: Volume 29, issue 3-5  

页码: 431-447

 

ISSN:0041-1450

 

年代: 2000

 

DOI:10.1080/00411450008205883

 

出版商: Taylor & Francis Group

 

关键词: Boltzmann equation;spectral methods;smoothing tecniques

 

数据来源: Taylor

 

摘要:

In this paper we introduce a new smoothed scheme derived from the spectral Fourier method for the homogeneous Boltzmann equation recently introduced in [14, 15]. More precisely we show that using suitable smoothing filters the method can be designed in such a way that the spectral solution remains positive in time and preserves the total mass. Several numerical examples are given to illustrate the previous analysis.

 

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