Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 431-447 |
| Number of pages | 17 |
| Journal | Transport Theory and Statistical Physics |
| Volume | 29 |
| Issue number | 3-5 |
| DOIs | |
| Publication status | Published - 2000 |
Keywords
- Boltzmann equation
- Smoothing tecniques
- Spectral methods
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Transportation
- General Physics and Astronomy
- Applied Mathematics