An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres
type: Item
instance of: scholarly article
title: An \(L^1\) refined projection approximate solution of the radiation transfer equation in stellar atmospheres
zbMATH Open document ID: 1005.65144
DOI: 10.1016/S0377-0427(01)00403-4
published in: Journal of Computational and Applied Mathematics
publication date: 2002-06-24T00:00:00Z
review text: The authors consider the numerical solution of a weakly singular second kind Fredholm integral equation which appears in astrophysics by a piecewise constant Galerkin method. They prove convergence in \(L^1\) and develop an iterative refinement method to deal with a large number of unknowns. A parallel implementation of the algorithm and the results of numerical test are discussed.
reviewed by: Gunther Schmidt
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 85A25
zbMATH DE Number: 1758417
zbMATH Keywords: weakly singular kernel
zbMATH Keywords: second kind Fredholm integral equation
zbMATH Keywords: iterative refinement
zbMATH Keywords: parallelization
zbMATH Keywords: radiation transfer equation
zbMATH Keywords: stellar atmospheres
zbMATH Keywords: numerical examples
zbMATH Keywords: astrophysics
zbMATH Keywords: Galerkin method
zbMATH Keywords: convergence
author: M. Ahues
author: Filomena D. d'Almeida
author: Alain Largillier
author: Olivier Titaud
author: P. B. Vasconcelos
describes a project that uses: ScaLAPACK
MaRDI profile type: Publication
cites work: Q3661894
cites work: THE ROLES OF A WEAK SINGULARITY AND THE GRID UNIFORMITY IN RELATIVE ERROR BOUNDS
cites work: Q4124250
cites work: ScaLAPACK Users' Guide
cites work: Q3263585
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
full work available at URL: s0377-0427(01)00403-4
OpenAlex ID: W1994978427
description: scientific article; zbMATH DE number 1758417