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

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...

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Datum:2009
Hauptverfasser: Solodky, S.G., Volynets, E.A.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2009
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Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/6332
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Zusammenfassung: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 information then standard methods