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

Christian Ringhofer

doi:10.1137/0729043

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

Christian Ringhofer

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

8 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 language	English (US)
Pages (from-to)	679-700
Number of pages	22
Journal	SIAM Journal on Numerical Analysis
Volume	29
Issue number	3
DOIs	https://doi.org/10.1137/0729043
State	Published - Jan 1 1992

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1137/0729043

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title = "Spectral collocation technique for the solution of the Wigner-Poisson problem",

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.",

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AB - 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.

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

Abstract

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