# A mixed spectral-difference method for the steady state Boltzmann-Poisson system

Research output: Contribution to journalArticle

14 Citations (Scopus)

### Abstract

The approximate solution of the Boltzmann transport equation via Galerkin-type series expansion methods leads to a system of conservation laws in space and time for the expansion coefficients. In this paper, we derive discretization methods for these equations in the mean field approximation, which are based on the entropy principles of the underlying Boltzmann equation, and discuss the performance of these discretizations and the series expansion approach in nonequilibrium regimes.

Original language English (US) 64-89 26 SIAM Journal on Numerical Analysis 41 1 https://doi.org/10.1137/S003614290138958X Published - Feb 2003

### Fingerprint

Spectral Methods
Series Expansion
Ludwig Boltzmann
Difference Method
Siméon Denis Poisson
Boltzmann Transport Equation
Systems of Conservation Laws
Discretization Method
Mean-field Approximation
Boltzmann Equation
Galerkin
Non-equilibrium
Approximate Solution
Boltzmann equation
Discretization
Entropy
Conservation
Coefficient

### Keywords

• Boltzmann equation
• Finite differences
• Galerkin methods

### ASJC Scopus subject areas

• Mathematics(all)
• Applied Mathematics
• Computational Mathematics

### Cite this

In: SIAM Journal on Numerical Analysis, Vol. 41, No. 1, 02.2003, p. 64-89.

Research output: Contribution to journalArticle

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