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Semiconductors pp 333-341 | Cite as

Adaptive Methods for the Solution of the Wigner-Poisson System

  • Christian Ringhofer
Conference paper
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 59)

Abstract

A numerical method, based on spectral collocation, for the solution of the Wigner-Poisson system is presented. A numerical example is briefly discussed.

Keywords

Wave Packet Pseudo Differential Operator Adaptive Grid Boltzmann Transport Equation Resonant Tunneling Diode 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    A. Arnold and C. Ringhofer, in preparation.Google Scholar
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    N. Kluksdahl et.al., Phys. Rev. B, vol 39 (1989), pp. 7720–7735.CrossRefGoogle Scholar
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    P. Markowich et.al., Semiconductor Equations, Springer Verlag (1990).MATHCrossRefGoogle Scholar
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    C. Ringhofer, SIAM J. Num. Anal., vol. 27 (1990), pp. 32–50.MathSciNetMATHCrossRefGoogle Scholar
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    C. Ringhofer, to appear in SIAM J. Num. Anal., (1992).Google Scholar
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    V. Tatarskij, Soviet Phys., Uspekhi 26 (1983), pp. 311–327.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer-Verlag New York, Inc. 1994

Authors and Affiliations

  • Christian Ringhofer
    • 1
  1. 1.Department of MathematicsArizona State UniversityTempeUSA

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