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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 451, Pages 43–53
(Mi znsl6345)
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This article is cited in 2 scientific papers (total in 2 papers)
Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment)
M. N. Demchenkoa, N. V. Filimonenkovab a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia
Abstract:
We discuss the results of numerical experiment of solving an ill-posed Cauchy problem for the wave equation. We give the instrumental function for the regularizing algorithm applied here and carry out the analysis of stability.
Key words and phrases:
ill-posed Cauchy problem, wave equation, regularizing algorithm.
Received: 31.10.2016
Citation:
M. N. Demchenko, N. V. Filimonenkova, “Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment)”, Mathematical problems in the theory of wave propagation. Part 46, Zap. Nauchn. Sem. POMI, 451, POMI, St. Petersburg, 2016, 43–53; J. Math. Sci. (N. Y.), 226:6 (2017), 720–726
Linking options:
https://www.mathnet.ru/eng/znsl6345 https://www.mathnet.ru/eng/znsl/v451/p43
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Abstract page: | 184 | Full-text PDF : | 49 | References: | 42 |
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