The regular components of asymptotic approximations of solution to the transport equation for optically thick media
type: Item
instance of: scholarly article
title: The regular components of asymptotic approximations of solution to the transport equation for optically thick media
zbMATH Open document ID: 0941.35115
author: T. A. Germogenova
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-05-04T00:00:00Z
review text: The author constructs asymptotic approximations of the solution to the transport equation for a homogeneous plane layer in terms of a parameter \(\varepsilon\) (the inverse of the optical thickness of the layer). In the case when scattering indicatrix and radiation-source term are smooth, formulas and equations are obtained for the regular components of these approximations both for a medium with strong absorption and for a scattering-dominated medium. A theoretical estimate of the accuracy of the asymptotic approximations is established.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 65N06
zbMATH DE Number: 1438771
zbMATH Keywords: asymptotic approximations
zbMATH Keywords: transport equation
zbMATH Keywords: medium with strong absorption
zbMATH Keywords: scattering-dominated medium
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1438771