Operator splitting methods applied to spectral discretizations of quantum transport equations

Anton Arnold; Christian Ringhofer

doi:10.1137/0732084

Operator splitting methods applied to spectral discretizations of quantum transport equations

Anton Arnold, Christian Ringhofer

Mathematical and Statistical Sciences, School of (SoMSS)

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

19 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 language	English (US)
Pages (from-to)	1876-1894
Number of pages	19
Journal	SIAM Journal on Numerical Analysis
Volume	32
Issue number	6
DOIs	https://doi.org/10.1137/0732084
State	Published - 1995

Keywords

Collocation methods
Operator splitting methods
Wigner functions

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1137/0732084

Cite this

@article{6c4223965f774649a5e0dc341f70b24f,

title = "Operator splitting methods applied to spectral discretizations of quantum transport equations",

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.",

keywords = "Collocation methods, Operator splitting methods, Wigner functions",

author = "Anton Arnold and Christian Ringhofer",

note = "Publisher Copyright: {\textcopyright} 1995 Society for Industrial and Applied Mathematics.",

year = "1995",

doi = "10.1137/0732084",

language = "English (US)",

volume = "32",

pages = "1876--1894",

journal = "SIAM Journal on Numerical Analysis",

issn = "0036-1429",

publisher = "Society for Industrial and Applied Mathematics Publications",

number = "6",

}

TY - JOUR

T1 - Operator splitting methods applied to spectral discretizations of quantum transport equations

AU - Arnold, Anton

AU - Ringhofer, Christian

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

KW - Collocation methods

KW - Operator splitting methods

KW - Wigner functions

UR - http://www.scopus.com/inward/record.url?scp=0000828858&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000828858&partnerID=8YFLogxK

U2 - 10.1137/0732084

DO - 10.1137/0732084

M3 - Article

AN - SCOPUS:0000828858

SN - 0036-1429

VL - 32

SP - 1876

EP - 1894

JO - SIAM Journal on Numerical Analysis

JF - SIAM Journal on Numerical Analysis

IS - 6

ER -

Operator splitting methods applied to spectral discretizations of quantum transport equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this