Numerische Mathematik

, Volume 55, Issue 5, pp 599–618

Numerical analysis of the weighted particle method applied to the semiconductor Boltzmann equation

  • P. Degond
  • B. Niclot
Article

DOI: 10.1007/BF01398918

Cite this article as:
Degond, P. & Niclot, B. Numer. Math. (1989) 55: 599. doi:10.1007/BF01398918

Summary

The semiconductor Boltzmann equation involves an integral operator, the kernel of which is a measure supported by a surface. This feature introduces some singularities of the exact solution, which makes the numerical approximation of this equation difficult. This paper is devoted to the error analysis of the weighted particle method (introduced by Mas-Gallic and Raviart [14]) applied to the space homogeneous semiconductor Boltzmann equation. The results are commented in view of the practical use of the method. This paper is closely related to [12], where results of numerical simulations on both test and real problems are given.

Subject Classifications

AMS(MOS): 65P05 CR: G1.8 

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • P. Degond
    • 1
  • B. Niclot
    • 2
  1. 1.Centre de Mathématiques AppliquéesEcole PolytechniquePalaiseau CedexFrance
  2. 2.Citroen, DAT/CSICentre TechniqueVelizy-Villacoublay CedexFrance

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