Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/50136
Título: | Projection methods based on grids for weakly singular integral equations |
Autor(es): | Almeida, Filomena D. de Fernandes, Maria Rosário Ribeiro |
Palavras-chave: | Projection approximations in L1 Weakly singular integral operators Error bounds |
Data: | Abr-2017 |
Editora: | Elsevier 1 |
Revista: | Applied Numerical Mathematics |
Resumo(s): | For the solution of a weakly singular Fredholm integral equation of the 2nd kind defined on a Banach space, for instance L^1([a,b]), the classical projection methods with the discretization of the approximating operator on a finite dimensional subspace usually use a basis of this subspace built with grids on [a,b]. This may require a large dimension of the subspace. One way to overcome this problem is to include more information in the approximating operator or to compose one classical method with one step o iterative refinement. This is the case of Kulkarni method or iterated Kantorovich method. Here we compare these methods in terms of accuracy and arithmetic workload. A theorem stating comparable error bounds for these methods, under very weak assumptions on the kernel, the solution and the space where the problem is set, is given. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/50136 |
DOI: | 10.1016/j.apnum.2016.10.006 |
ISSN: | 0168-9274 |
e-ISSN: | 1873-5460 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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AlmeidaFernandesAPNUM.pdf Acesso restrito! | 140,66 kB | Adobe PDF | Ver/Abrir |
Este trabalho está licenciado sob uma Licença Creative Commons