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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 017, 14 pp.
DOI: https://doi.org/10.20948/prepr-2018-17 (Mi ipmp2379) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Construction of exact solutions of certain equations of hyperbolic type containing a discontinuity propagating along a non-homogeneous background

Yu. A. Kriksin, P. A. Kuchugov, M. E. Ladonkina, O. A. Nekliudova, V. F. Tishkin
Full-text PDF (721 kB) Citations (3)
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DOI: https://doi.org/10.20948/prepr-2018-17
Abstract: Precise solutions for the quasilinear transport equation and a system of shallow water equations that contain discontinuities propagating along an inhomogeneous background are were constructed in this paper. These solutions can be used as test tasks for verification of newly created software packages and numerical methods.
Keywords: quasi-linear transport equation, shallow water equations, exact solution, discontinuous Galerkin method.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00361-a
16-01-00333_а
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: Yu. A. Kriksin, P. A. Kuchugov, M. E. Ladonkina, O. A. Nekliudova, V. F. Tishkin, “Construction of exact solutions of certain equations of hyperbolic type containing a discontinuity propagating along a non-homogeneous background”, Keldysh Institute preprints, 2018, 017, 14 pp.
Citation in format AMSBIB
\Bibitem{KriKucLad18}
\by Yu.~A.~Kriksin, P.~A.~Kuchugov, M.~E.~Ladonkina, O.~A.~Nekliudova, V.~F.~Tishkin
\paper Construction of exact solutions of certain equations of hyperbolic type containing a discontinuity propagating along a non-homogeneous background
\jour Keldysh Institute preprints
\yr 2018
\papernumber 017
\totalpages 14
\mathnet{http://mi.mathnet.ru/ipmp2379}
\crossref{https://doi.org/10.20948/prepr-2018-17}
\elib{https://elibrary.ru/item.asp?id=32463812}
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  • https://www.mathnet.ru/eng/ipmp2379
  • https://www.mathnet.ru/eng/ipmp/y2018/p17
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Full-text PDF :188
    References:37
     
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