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Numerical Integration of Multiple Integrals Using Taylor's Polynomial

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F15%3APU116970" target="_blank" >RIV/00216305:26230/15:PU116970 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.scopus.com/record/display.uri?eid=2-s2.0-84960951970&origin=resultslist&sort=plf-f&src=s&st1=satek&st2=&sid=48BB54244E7021166FCB6A0794EA66EC.f594dyPDCy4K3aQHRor6A%3a20&sot=b&sdt=b&sl=18&s=AUTHOR-NAME%28satek%29&relpos=4&citeCnt=0&searchTerm=" target="_blank" >http://www.scopus.com/record/display.uri?eid=2-s2.0-84960951970&origin=resultslist&sort=plf-f&src=s&st1=satek&st2=&sid=48BB54244E7021166FCB6A0794EA66EC.f594dyPDCy4K3aQHRor6A%3a20&sot=b&sdt=b&sl=18&s=AUTHOR-NAME%28satek%29&relpos=4&citeCnt=0&searchTerm=</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical Integration of Multiple Integrals Using Taylor's Polynomial

  • Original language description

    The paper concentrates on a new method of numerical computation of multiple integrals. Equations based on Taylor polynomial are derived. Multiple integral of a continuous function of n-variables is numerically integrated step by step by reducing its dimension. First, integration formulas for a function of two variables are derived. Formulas for function of n-variables are generalized using composition. Numerical derivatives for Taylor terms are repeatedly computed from simple integrals. Finally method is demonstrated on an exponential function of two-variables and a new approach to determine a number of Taylor terms is discussed.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

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

    Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications

  • ISBN

    978-989-758-120-5

  • ISSN

  • e-ISSN

  • Number of pages

    9

  • Pages from-to

    163-171

  • Publisher name

    SciTePress - Science and Technology Publications

  • Place of publication

    Colmar

  • Event location

    Calmar

  • Event date

    Jul 21, 2015

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article