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Smooth approximation and its application to some 1D problems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00376844" target="_blank" >RIV/67985840:_____/12:00376844 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Smooth approximation and its application to some 1D problems

  • Original language description

    In the contribution, we are concerned with the exact interpolation of the data at nodes given and also with the smoothness of the interpolating curve and its derivatives. This task is called the problem of smooth approximation of data. The interpolatingcurve or surface is defined as the solution of a variational problem with constraints. We discuss the proper choice of basis systems for this way of approximation and present the results of several 1D numerical examples that show the quality of smooth approximation.

  • 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/IAA100190803" target="_blank" >IAA100190803: The finite element method for higher dimensional problems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

    Proceedings of the International Conference Applications of Mathematics 2012

  • ISBN

    978-80-85823-60-8

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    243-252

  • Publisher name

    Institute of Mathematics AS CR

  • Place of publication

    Prague

  • Event location

    Prague

  • Event date

    May 2, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article