Influence of the order between discretization and regularization in solving ill-posed problems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2025-04

Autores

Grammont, L (Autor) Outra; vasconcelos, pb (Autor) FEP

Revista

Título: Mathematics and Computers in Simulation

Vol. 230

Páginas: 400-412

ISSN: 0378-4754

Editora: Elsevier

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-010-2FB

DOI: 10.1016/j.matcom.2024.02.010

Abstract (EN): Discretization and regularization are required steps to provide a stable approximation when solving integral equations of the first kind. The integral operator involved may be approximated by a sequence of finite rank operators and then the regularization procedure is applied. On the other hand, a regularization procedure can be conceived prior to the discretization. Both approaches are developed, implemented and compared for certain projection based methods.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 13