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Discontinuous Galerkin method for numerical solution of the regularized long wave equation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F12%3A%230000819" target="_blank" >RIV/46747885:24510/12:#0000819 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1063/1.4766775" target="_blank" >http://dx.doi.org/10.1063/1.4766775</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.4766775" target="_blank" >10.1063/1.4766775</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Discontinuous Galerkin method for numerical solution of the regularized long wave equation

  • Original language description

    In this paper we are concerned with the development of sufficiently robust, accurate and efficient numerical method for the solution of the regularized long wave (RLW) equation, an important nonlinear equation describing a large class of physical phenomena. The main idea is based on the discretization of the RLW equation with the aid of a combination of the discontinuous Galerkin method for the space semi-discretization and the backward difference formula for the time discretization. This proposed scheme seems to be a promising technique due to the high order piecewise polynomial discontinuous approximation and avoiding the time step restriction. The appended numerical experiments investigate the conservative properties of the RLW equation related to mass, momentum and energy, and illustrate the potency of the scheme, consequently.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    AIP Conference Proceedings 1497, Applications of Mathematics in Engineering and Economics, AMEE '12

  • ISBN

    978-0-7354-1111-1

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    118-125

  • Publisher name

    American Institute of Physics

  • Place of publication

    Melville, NY, USA

  • Event location

    Sozopol, Bulgaria

  • Event date

    Dec 6, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    312260000016