Reduction of the number of particles in the stochastic weighted particle method for the Boltzmann equation
type: Item
instance of: scholarly article
title: Reduction of the number of particles in the stochastic weighted particle method for the Boltzmann equation
zbMATH Open document ID: 0909.65144
author: S. Rjasanow
author: Thomas Schreiber
author: Wolfgang Wagner
published in: Journal of Computational Physics
publication date: 1998-10-18T00:00:00Z
review text: The authors study theoretically and numerically the problem of reducing the number of particles in the stochastic weighted particle method for the Boltzmann equation. Theoretical estimates for the error in the bounded Lipschitz metric and in the Sobolev space \(H^{-2}\) are obtained. The results are illustrated numerically for the spatially homogeneous Boltzmann equation.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 82C31
zbMATH DE Number: 1212282
zbMATH Keywords: error bounds
zbMATH Keywords: numerical examples
zbMATH Keywords: reduction of the number of particles
zbMATH Keywords: stochastic weighted particle method
zbMATH Keywords: Boltzmann equation
reviewed by: Emil Minchev
MaRDI profile type: Publication
full work available at URL: jcph.1998.6018
OpenAlex ID: W1974579699
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DOI: 10.1006/JCPH.1998.6018
description: scientific article; zbMATH DE number 1212282