This article is cited in 3 papers

Dynamic reconstruction of the right-hand side of a hyperbolic equation

V. I. Maksimov<sup>ab

a</sup> 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.

UDC: 519.633.9

Received: 18.03.2013

DOI: 10.7868/S0044466915060083

 English version: Computational Mathematics and Mathematical Physics, 2015, 55:6, 1004–1014

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