Proceedings of conferences Numerical solution of initial-boundary value problem for the Helmholtz equation M. A. Bektemesov a ,
S. I. Kabanikhin bc ,
D. B. Nurseitov d ,
S. Y. Kasenov d 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.
UDC:
519.63
MSC: 65L09 Received April 6, 2014 , published
December 20, 2014
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