On the efficient method of solving ill-posed problems by adaptive discretization

• Date: 2009
• Main Authors: Solodky, S.G., Volynets, E.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Subjects: Геометрія, топологія та їх застосування
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/6332
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the efficient method of solving ill-posed problems by adaptive discretization / S.G. Solodky, E.A. Volynets // Збірник праць Інституту математики НАН України. — 2009. — Т. 6, № 2. — С. 524-549. — Бібліогр.: 11 назв. — англ.

To solve ill-posed problems Ax = f is used the Fakeev-Lardy regularization, using an adaptive discretization strategy. It is shown that for some classes of finitely smoothing operators proposed algorithm achieves the optimal order of accuracy and is more economical in the sense of amount of discrete...