All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Analysis and application of the discontinuous Galerkin method to the RLW equation

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10195486" target="_blank" >RIV/00216208:11320/13:10195486 - isvavai.cz</a>

  • Alternative codes found

    RIV/46747885:24510/13:#0001000

  • Result on the web

    <a href="http://dx.doi.org/10.1186/1687-2770-2013-116" target="_blank" >http://dx.doi.org/10.1186/1687-2770-2013-116</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1186/1687-2770-2013-116" target="_blank" >10.1186/1687-2770-2013-116</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Analysis and application of the discontinuous Galerkin method to the RLW equation

  • Original language description

    In this work, our main purpose is to develop of a sufficiently robust, accurate and efficient numerical scheme for the solution of the regularized long wave (RLW) equation, an important partial differential equation with quadratic nonlinearity, describing a large number of physical phenomena. The crucial 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. Furthermore, a suitable linearization preserves a linear algebraic problem at each time level. We present error analysis of the proposed scheme for the case of nonsymmetric discretization of the dispersive term. The appended numericalexperiments confirm theoretical results and investigate the conservative properties of the RLW equation related to mass, momentum and energy. Both procedures illustrate the potency of the scheme consequently.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/EE2.3.09.0155" target="_blank" >EE2.3.09.0155: Constitution and improvement of a team for demanding technical computations on parallel computers at TU Liberec</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Boundary Value Problems [online]

  • ISSN

    1687-2770

  • e-ISSN

  • Volume of the periodical

    neuveden

  • Issue of the periodical within the volume

    116 (7 May 2013)

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    20

  • Pages from-to

    1-20

  • UT code for WoS article

    000320662500001

  • EID of the result in the Scopus database