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Sib. Èlektron. Mat. Izv., 2014, Volume 11, Pages C.4–C.21 (Mi semr549)  

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.

Full text: PDF file (632 kB)
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Document Type: Proceedings
UDC: 519.63
MSC: 65L09
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

Citation in format AMSBIB
\Bibitem{BekKabNur14}
\by M.~A.~Bektemesov, S.~I.~Kabanikhin, D.~B.~Nurseitov, S.~Y.~Kasenov
\paper Numerical solution of initial-boundary value problem for the Helmholtz equation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages C.4--C.21
\mathnet{http://mi.mathnet.ru/semr549}


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