Errors and grids for projected weakly singular integral equations

• Tipo: Artigo em Revista Científica Internacional
• Data: 2013

Autores

d'Almeida, F.D. (Autor) FEUP; Ahues, M. (Autor) Outra; Fernandes, R. (Autor) Outra

Revista

Título: International Journal of Pure and Applied Mathematics

Vol. 89

Páginas: 203-213

ISSN: 1311-8080

Editora: Academic Publications Ltd

Indexação

ISI Web of Knowledge

Scopus - 3 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-008-JQQ

DOI: 10.12732/ijpam.v89i2.6

Abstract (EN): In the solution of weakly singular Fredholm integral equations of the second kind defined on the space of Lebesgue integrable complex valued functions by projection methods, the choice of the grid is crucial. We will present the proof of an error bound in terms of the mesh size of the underlying discretization grid on which no regularity assumptions are made and compare it with other recently proposed error bounds. This proof generalizes the work done for the Galerkin method, to the case of Kantorovich and Sloan methods. This allows us to use nonuniform grids when there are boundary layers or discontinuities in the right hand side of the equation. We illustrate this with an example on the radiative transfer model in stellar atmospheres.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 11