Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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IssuesArchive of Issues2017-1pp.21-28

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Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
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D.A. Lozhnikov and V.E. Nazaikinskii, "Method for the analysis of long water waves taking into account reflection from a gently sloping beach," J. Appl. Math. Mech. 81 (1), 21-28 (2017)
Year 2017 Volume 81 Issue 1 Pages 21-28
DOI 10.1016/j.jappmathmech.2017.07.003
Title Method for the analysis of long water waves taking into account reflection from a gently sloping beach
Author(s) D.A. Lozhnikov (Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow; Moscow Institute of Physics and Technology (State University), Dolgoprudny, Russia, lozhnikov_d@list.ru)
V.E. Nazaikinskii (Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow; Moscow Institute of Physics and Technology (State University), Dolgoprudny, Russia, nazaikinskii@yandex.ru)
Abstract Algorithms and their software implementation are described that allow calculating the front propagation for a long wave (for example, a tsunami wave) described in the approximation of the linearized shallow water equations with reflection from a shallow beach taken into account. The algorithms are based on a construction of asymptotic solutions of the Cauchy problem for hyperbolic equations with degeneracy on the boundary earlier proposed with the participation of one of the authors. The results of a numerical experiment are presented.
Received 16 April 2016
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