Convergency of the Monte Carlo algorithm for the solution of the Wigner quantum-transport equation
type: Item
instance of: scholarly article
title: Convergency of the Monte Carlo algorithm for the solution of the Wigner quantum-transport equation
zbMATH Open document ID: 0860.65144
DOI: 10.1016/0895-7177(96)00047-7
author: Yanyan Li
published in: Mathematical and Computer Modelling
publication date: 1997-04-14T00:00:00Z
review text: This paper discusses the convergence of the Monte Carlo algorithm for the solution of the Wigner quantum-transport equation. Essentially there is a convergence problem at the boundaries \(+\infty\) and \(-\infty\) for the momentum \(p\). This is discussed in detail and it is shown that the approximation tends to the Wigner function uniformly as the domain of the simulation domain for \(p\) tends to \(-\infty < p < \infty\).
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 81S30
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 915035
zbMATH Keywords: convergence
zbMATH Keywords: Monte Carlo algorithm
zbMATH Keywords: Wigner quantum-transport equation
reviewed by: Brian L. Burrows
MaRDI profile type: Publication
full work available at URL: 0895-7177(96)00047-7
OpenAlex ID: W2025911110
Wikidata QID: Q61610186
description: scientific article; zbMATH DE number 915035