Regularizing Algorithms for Detecting Discontinuities in Ill-Posed Problems / Ageev A. L.,Antonova T. V. // COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. - 2008. - V. 48, l. 8. - P. 1284-1292.

ISSN/EISSN:

0965-5425 / нет данных

Type:

Article

Abstract:

The problem of detecting singularities (discontinuities of the first kind) of a noisy function in L(2) is considered. A wide class of regularizing algorithms that can detect discontinuities is constructed. New estimates of accuracy of determining the location of discontinuities are obtained and their optimality in terms of order with respect to the error level delta is proved for some classes of functions with isolated singularities. New upper bounds for the singularity separation threshold are obtained.

Author keywords:

ill-posed problems; detection of discontinuities; regularizing algorithms; separation threshold SPECTRAL INSTRUMENTS; RESOLVING POWER

DOI:

10.1134/S0965542508080034

Web of Science ID:

ISI:000262334700003

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	AUG
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
Keywords-Plus	SPECTRAL INSTRUMENTS; RESOLVING POWER
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Mathematical
Funding-Acknowledgement	Russian Foundation for Basic Research {[}06-01-00116]; Russian Academy of Sciences
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project no. 06-01-00116) and by the Grant for Young Scientists of the Ural Division of the Russian Academy of Sciences (2006).
Number-of-Cited-References	16
Journal-ISO	Comput. Math. Math. Phys.
Doc-Delivery-Number	392XE