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This article is cited in 3 scientific papers (total in 3 papers)
Dynamic reconstruction of the right-hand side of a hyperbolic equation
V. I. Maksimovab a Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia
b Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia
Abstract:
A hyperbolic equation subject to external disturbances is considered. It is assumed that its solution can be measured (possibly with some errors). Algorithms for recovering (reconstructing) the disturbances from the measurements are described. The algorithms are robust to observational and computational errors.
Key words:
hyperbolic equations, reconstruction of disturbances, numerical reconstruction algorithms.
Received: 18.03.2013
Citation:
V. I. Maksimov, “Dynamic reconstruction of the right-hand side of a hyperbolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015), 1008–1019; Comput. Math. Math. Phys., 55:6 (2015), 1004–1014
Linking options:
https://www.mathnet.ru/eng/zvmmf10222 https://www.mathnet.ru/eng/zvmmf/v55/i6/p1008
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Abstract page: | 292 | Full-text PDF : | 53 | References: | 67 | First page: | 13 |
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