A Numerical Method for Kinetic Semiconductor Equations in the Drift-Diffusion Limit

@article{Klar1999ANM,
  title={A Numerical Method for Kinetic Semiconductor Equations in the Drift-Diffusion Limit},
  author={Axel Klar},
  journal={SIAM J. Scientific Computing},
  year={1999},
  volume={20},
  pages={1696-1712}
}
An asymptotic-induced scheme for kinetic semiconductor equations with the diiusion 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 diierent physical situations are presented. 

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