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KIAM Preprint № 17, Moscow, 2018
Authors: Kriksin Y.A., Kuchugov P.A., Ladonkina M. E., Neklyudova O.A., Tishkin V.F.
Construction of exact solutions of certain equations of hyperbolic type containing a discontinuity propagating along a non-homogeneous background
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
Publication language: russian,  pages: 14
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Kriksin Yury Anatolievich,  orcid.org/0000-0002-3840-4874KIAM RAS
  • Kuchugov Pavel Alexandrovich,  orcid.org/0000-0003-3240-2963KIAM RAS
  • Ladonkina Marina Eugenievna,  orcid.org/0000-0001-7596-1672KIAM RAS
  • Neklyudova Olga Alexandrovna,  orcid.org/0000-0001-9465-4782KIAM RAS
  • Tishkin Vladimir Fedorovich,  orcid.org/0000-0001-7295-7002KIAM RAS