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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages C.4–C.21
(Mi semr549)
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Proceedings of conferences
Numerical solution of initial-boundary value problem for the Helmholtz equation
M. A. Bektemesova, S. I. Kabanikhinbc, D. B. Nurseitovd, S. Y. Kasenovd a al-Farabi Kazakh National university, av. al-Farabi, 71,
050038, Almaty, Kazakhstan
b Institute of Computational Mathematics and Mathematical Geophysics SB RAS, prospect Akademika Lavrentjeva, 6, 630090, Novosibirsk, Russia
c Novosibirsk State University, Pirogova str., 2, 630090, Novosibirsk, Russia
d National Open Research Laboratory of Information and Space Technologies KazNTU, av. Satpaev, 22, 050013, Almaty, Kazakhstan
Abstract:
We discuss continuation problem for the Helmholtz equation. Numerical algorithm and regularization method based on singular-value decomposition are presented. Comparative analysis of Tikhonov regularization method and Godunov's approach are presented.
Keywords:
continuation problem, regualarization problem, comparative analysis, numerical methods, Godunov methods.
Received April 6, 2014, published December 20, 2014
Citation:
M. A. Bektemesov, S. I. Kabanikhin, D. B. Nurseitov, S. Y. Kasenov, “Numerical solution of initial-boundary value problem for the Helmholtz equation”, Sib. Èlektron. Mat. Izv., 11 (2014), C.4–C.21
Linking options:
https://www.mathnet.ru/eng/semr549 https://www.mathnet.ru/eng/semr/v11/p4
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Abstract page: | 490 | Full-text PDF : | 231 | References: | 58 |
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