Computation of current-voltage characteristics in a semiconductor device using arc-length continuation

Peter A. Markowich, Christian A. Ringhofer, Alois Steindl

Research output: Contribution to journalArticle

4 Scopus citations


This paper is concerned with the computation of semiconductor device current-voltage characteristics. We describe an algorithm which allows the computation of characteristics by continuation in a parameter which approximates the arc length of the characteristic. The use of this parameterization allows the characteristic to continue beyond snap-back voltages, while continuation in the voltage fails past snap-back voltages. We discuss the implementation of the parameterization and give a numerical example.

Original languageEnglish (US)
Pages (from-to)175-187
Number of pages13
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Issue number2
StatePublished - Sep 1 1984


ASJC Scopus subject areas

  • Applied Mathematics

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