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

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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.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia

    V. I. Maksimov

  2. Ural Federal University, ul. Mira 19, Yekaterinburg, 620002, Russia

    V. I. Maksimov

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  1. V. I. Maksimov
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Correspondence to V. I. Maksimov.

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Original Russian Text © V.I. Maksimov, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 6, pp. 1008–1019.

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Maksimov, V.I. Dynamic reconstruction of the right-hand side of a hyperbolic equation. Comput. Math. and Math. Phys. 55, 1004–1014 (2015). https://doi.org/10.1134/S096554251506007X

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  • DOI: https://doi.org/10.1134/S096554251506007X

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