A kinetic theory for nonanalog Monte Carlo particle transport algorithms: Exponential transform with angular biasing in planar-geometry anisotropically scattering media
type: Item
instance of: scholarly article
title: A kinetic theory for nonanalog Monte Carlo particle transport algorithms: Exponential transform with angular biasing in planar-geometry anisotropically scattering media
zbMATH Open document ID: 0909.65145
author: Taro Ueki
author: Edward W. Larsen
published in: Journal of Computational Physics
publication date: 1999-04-12T00:00:00Z
review text: The authors develop a new theory for the classical exponential transform with angular biasing applied \(1-D\) monoenergetic deep penetration transport problems with anisotropic scattering. The approach is based on developing of a new Boltzmann Monte Carlo (BMC) equation that predicts the statistical behaviour of Monte Carlo (MC) particles governed by the nonanalog MC transport process. The authors also develop the generalized Dwivedi transform (GDT) scheme and use the BMC equation to determine the maximum safe values of the GDT transform parameter.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 82C70
zbMATH DE Number: 1212283
zbMATH Keywords: nonanalog Monte Carlo particle
zbMATH Keywords: kinetic theory
zbMATH Keywords: Boltzmann Monte Carlo equation
zbMATH Keywords: generalized Dwivedi transform scheme
zbMATH Keywords: exponential transform
zbMATH Keywords: monoenergetic deep penetration transport problems
zbMATH Keywords: anisotropic scattering
reviewed by: Emil Minchev
MaRDI profile type: Publication
full work available at URL: jcph.1998.6039
OpenAlex ID: W2045920409
cites work: Q3802475
cites work: An Analytic Approach to Variance Reduction
cites work: A synopsis of Monte Carlo perturbation algorithms
cites work: Q4836494
cites work: The Asymptotic Efficiency of Simulation Estimators
cites work: Q3725507
cites work: Existence and Uniqueness Theorems for the Neutron Transport Equation
DOI: 10.1006/JCPH.1998.6039
description: scientific article; zbMATH DE number 1212283