Operator splitting methods applied to spectral discretizations of quantum transport equations

Anton Arnold, Christian Ringhofer

Research output: Contribution to journalArticle

16 Scopus citations

Abstract

The Wigner-Poisson equation is the most successful basis for transient simulations of quantum-effect semiconductor devices so far. We present a full discretization of this nonlinear pseudo-differential system using a mixed spectral-collocation and operator splitting method. Convergence and nonlinear stability of the scheme are proven.

Original languageEnglish (US)
Pages (from-to)1876-1894
Number of pages19
JournalSIAM Journal on Numerical Analysis
Volume32
Issue number6
DOIs
StatePublished - Jan 1 1995

Keywords

  • Collocation methods
  • Operator splitting methods
  • Wigner functions

ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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