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

• Type: Article in International Scientific Journal
• Date: 2025-04

Authors

Grammont, L (Author) Other; vasconcelos, pb (Author) FEP

Journal

Title: Mathematics and Computers in Simulation

Vol. 230

Pages: 400-412

ISSN: 0378-4754

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13