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On Runge-Kutta, collocation and discontinuous Galerkin methods: mutual connections and resulting consequences to the analysis

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317210" target="_blank" >RIV/00216208:11320/15:10317210 - isvavai.cz</a>

  • Result on the web

    <a href="http://panm17.math.cas.cz/PANM17_proceedings.pdf" target="_blank" >http://panm17.math.cas.cz/PANM17_proceedings.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Runge-Kutta, collocation and discontinuous Galerkin methods: mutual connections and resulting consequences to the analysis

  • Original language description

    It is shown that discontinuous Galerkin method has natural mutual connection to collocation methods and Runge-Kutta methods. This connection enables us to employ the techniques of proofs developed for any of these methods. We use this idea to discuss thesuperconvergence property for discontinuous Galerkin method.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA13-00522S" target="_blank" >GA13-00522S: Qualitative analysis and numerical solution of problems of flows in generally time-dependent domains with various boundary conditions</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Programs and Algorithms of Numerical mathematics 17

  • ISBN

    978-80-85823-64-6

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    231-236

  • Publisher name

    Matematický ústav AV ČR

  • Place of publication

    Praha

  • Event location

    Horni Maxov

  • Event date

    Jun 8, 2014

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article