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

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

doi:10.1093/imamat/33.2.175

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 journal › Article › peer-review

5 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	175-187
Number of pages	13
Journal	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume	33
Issue number	2
DOIs	https://doi.org/10.1093/imamat/33.2.175
State	Published - Sep 1984
Externally published	Yes

ASJC Scopus subject areas

Applied Mathematics

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10.1093/imamat/33.2.175

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title = "Computation of current-voltage characteristics in a semiconductor device using arc-length continuation",

abstract = "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.",

author = "Markowich, {Peter A.} and Ringhofer, {Christian A.} and Alois Steindl",

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AU - Markowich, Peter A.

AU - Ringhofer, Christian A.

AU - Steindl, Alois

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PY - 1984/9

Y1 - 1984/9

N2 - 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.

AB - 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.

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

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