Particle simulations of the Kac model of the Boltzmann equation
type: Item
instance of: scholarly article
title: Particle simulations of the Kac model of the Boltzmann equation
zbMATH Open document ID: 0891.65145
DOI: 10.1016/S0377-0427(97)00184-2
author: I. Coulibaly
author: Christian Lécot
published in: Journal of Computational and Applied Mathematics
publication date: 1998-03-11T00:00:00Z
review text: This paper presents a simplified mathematical model of the Boltzmann equation which was introduced by \textit{M. Kac} [Probability and related topics in physical sciences (1959; Zbl 0087.33003)]. An error bound for the method is established and simulation experiments are compared with computational methods. The results obtained are encouraging.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 82C80
Mathematics Subject Classification ID: 11K38
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 82C40
zbMATH DE Number: 1115958
zbMATH Keywords: particle simulations
zbMATH Keywords: quasi-Monte Carlo simulation
zbMATH Keywords: \((t,m,s)\)-nets
zbMATH Keywords: \((t,s)\)-sequences
zbMATH Keywords: kinetic theory of gases
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: error bound
reviewed by: Prabhat Kumar Mahanti
MaRDI profile type: Publication
cites work: Direct simulation of gas flows at the molecular level
cites work: Q4856451
cites work: Q4856458
cites work: Q4369777
cites work: Discrépance de suites associées à un système de numération (en dimension s)
cites work: Q5656839
cites work: Q3259971
cites work: Q4856465
cites work: Radiative heat transfer with quasi-monte carlo methods
cites work: Q4767350
cites work: Low discrepancy sequences for solving the Boltzmann equation
cites work: A Quasi-Monte Carlo Method for the Boltzmann Equation
cites work: Error bounds for quasi-Monte Carlo integration with nets
cites work: A Quasi-Monte Carlo Approach to Particle Simulation of the Heat Equation
cites work: Quasi-Monte Carlo integration
cites work: Q4856468
cites work: Quasi-Monte Carlo methods and pseudo-random numbers
cites work: Point sets and sequences with small discrepancy
cites work: Low-discrepancy and low-dispersion sequences
cites work: Q4003879
cites work: A comparative study of pseudo and quasi random sequences for the solution of integral equations
cites work: Irregularities for distribution IX
cites work: Lectures on irregularities of distribution. (Notes by T. N. Shorey)
cites work: Q4856456
description: scientific article; zbMATH DE number 1115958