V. G. Romanov, P. S. Moshkalev, “The one-dimensional inverse problem of finding a tsunami source”, Sib. Zh. Ind. Mat., 14:3 (2011), 87

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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 3, Pages 87–99 (Mi sjim686)

This article is cited in 8 scientific papers (total in 8 papers)

The one-dimensional inverse problem of finding a tsunami source

V. G. Romanov^a, P. S. Moshkalev^b

^a Sobolev Institute of Mathematics SB RAS, Novosibirsk, RUSSIA
^b Novosibirsk State University, Novosibirsk, RUSSIA

Full-text PDF (309 kB) Citations (8)

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Abstract: We consider in the one-dimensional version a model inverse problem of finding the initial state of the ocean surface. We prove that the initial state is uniquely determined by the oscillation regime of a sole point on the ocean surface. We give algorithms for solving the direct and inverse problems and include the results of test simulations.

Keywords: tsunami wave propagation, Cauchy problem, inverse problem, simulation algorithms.

Received: 18.01.2011

Bibliographic databases:

Document Type: Article

UDC: 517.958

Language: Russian

Citation: V. G. Romanov, P. S. Moshkalev, “The one-dimensional inverse problem of finding a tsunami source”, Sib. Zh. Ind. Mat., 14:3 (2011), 87–99

Citation in format AMSBIB

\Bibitem{RomMos11}

\by V.~G.~Romanov, P.~S.~Moshkalev

\paper The one-dimensional inverse problem of finding a~tsunami source

\jour Sib. Zh. Ind. Mat.

\yr 2011

\vol 14

\issue 3

\pages 87--99

\mathnet{http://mi.mathnet.ru/sjim686}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2953778}

Linking options:

https://www.mathnet.ru/eng/sjim686

https://www.mathnet.ru/eng/sjim/v14/i3/p87

This publication is cited in the following 8 articles:

Leble S., Vereshchagin S., Bakhmetieva V N., Grigoriev I G., “on the Diagnosis of Unidirectional Acoustic Waves as Applied to the Measurement of Atmospheric Parameters By the Api Method in the Sura Experiment”, Atmosphere, 11:9 (2020), 924
Leble S.B., Vereshchagin S.D., Vereshchagina I.S., “Algorithm For the Diagnostics of Waves and Entropy Mode in the Exponentially Stratified Atmosphere”, Russ. J. Phys. Chem. B, 14:2 (2020), 371–376
Kabanikhin S.I., Iskakov K.T., Tokseit D.K., Shishlenin M.A., Toibekov A., “Problem of Describing the Function of a Gpr Source”, Bull. Karaganda Univ-Math., 100:4 (2020), 71–80
S. I. Kabanikhin, O. I. Krivorotko, “An algorithm for source reconstruction in nonlinear shallow-water equations”, Comput. Math. Math. Phys., 58:8 (2018), 1334–1343
Holec M. Cotelo M. Velarde P. Liska R., “Application of Discontinuous Galerkin Adaptive Mesh and Order Refinement Method to Energy Transport and Conservation Equation in Radiation-Hydrodynamics”, Proceedings of the 1St Pan-American Congress on Computational Mechanics and Xi Argentine Congress on Computational Mechanics, ed. Idelsohn S. Sonzogni V. Coutinho A. Cruchaga M. Lew A. Cerrolaza M., Int Center Numerical Methods Engineering, 2015, 919–930
Kabanikhin S.I. Krivorotko O.I., “Coupled Inverse Problems and Visualization of Atmosphere-Ocean System”, Coupled Problems in Science and Engineering Vi, ed. Schrefler B. Onate E. Papadrakakis M., Int Center Numerical Methods Engineering, 2015, 921–929
M. A. Shishlenin, “Matrichnyi metod v zadachakh opredeleniya istochnikov kolebanii”, Sib. elektron. matem. izv., 11 (2014), 161–171
Agoshkov V.I., Rakhuba M.V., “The Study of Tsunami Source Reconstruction Problem”, Russ. J. Numer. Anal. Math. Model, 28:1 (2013), 1–12

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Сибирский журнал индустриальной математики

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References:	90
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