An L-1 refined projection approximate solution of the radiation transfer equation in stellar atmospheres

• Tipo: Artigo em Revista Científica Internacional
• Data: 2002

Autores

Ahues, M (Autor) Outra; Filomena Dias d Almeida (Autor) FEUP; Largillier, A (Autor) Outra; Titaud, O (Autor) Outra; vasconcelos, pb (Autor) FEP

Revista

Título: Journal of Computational and Applied Mathematics

Vol. 140 Nº 1-2

Páginas: 13-26

ISSN: 0377-0427

Editora: Elsevier

Indexação

ISI Proceedings

ISI Web of Knowledge - 24 Citações

Scopus - 28 Citações

Classificação Científica

FOS: Ciências exactas e naturais

Outras Informações

ID Authenticus: P-000-Q56

DOI: 10.1016/s0377-0427(01)00403-4

Abstract (EN): This paper deals with the numerical approximation of the solution of a weakly singular integral equation of the second kind which appears in Astrophysics. The reference space is the complex Banach space of Lebesgue integrable functions on a bounded interval whose amplitude represents the optical thickness of the atmosphere. The kernel of the integral operator is defined through the first exponential-integral function and depends on the albedo of the media. The numerical approximation is based on a sequence of piecewise constant projections along the common annihilator of the corresponding local means. In order to produce high precision solutions without solving large scale linear systems, we develop an iterative refinement technique of a low order approximation, For this scheme, parallelization of matrix computations is suitable.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 14