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A numerical method for kinetic semiconductor equations in the drift-diffusion limit

delete1999-01-01
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Axel Klar *
DOI:10.1137/S1064827597319258delete
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Abstract

Abstract

En 中文
An asymptotic-induced scheme for kinetic semiconductor equations with the diffusion scaling is developed. The scheme is based on the asymptotic analysis of the kinetic semiconductor equation. It works uniformly for all ranges of mean free paths. The velocity discretization is done using quadrature points equivalent to a moment expansion method. Numerical results for different physical situations are presented.
Keywords:
kinetic semiconductor equations
asymptotic analysis
drift-diffusion limit
numerical methods for stiff equations

Journal

SIAM Journal on Scientific Computing cover
SIAM Journal on Scientific Computing
IF:
2.6
Papers:
5.1K
Citations:
1.8W

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