Spectral collocation technique for the solution of the Wigner-Poisson problem

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6 Scopus citations

Abstract

A spectral collocation method for the Wigner-Poisson system is presented, a nonlinear pseudodifferential system describing quantum mechanical transport phenomena. The stability and consistency properties of the method are analyzed. Spectral accuracy and linearized stability are proven. A numerical test example illustrating these results is presented.

Original languageEnglish (US)
Pages (from-to)679-700
Number of pages22
JournalSIAM Journal on Numerical Analysis
Volume29
Issue number3
DOIs
StatePublished - Jan 1 1992

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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