Detail publikace

Numerical Integration of Multiple Integrals Using Taylor's Polynomial

CHALOUPKA, J. KUNOVSKÝ, J. ŠÁTEK, V. VEIGEND, P. MARTINKOVIČOVÁ, A.

Originální název

Numerical Integration of Multiple Integrals Using Taylor's Polynomial

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Multiple Integrals, Numerical Integration, Taylor's Polynomial, Modern Taylor Series Method

Autoři

CHALOUPKA, J.; KUNOVSKÝ, J.; ŠÁTEK, V.; VEIGEND, P.; MARTINKOVIČOVÁ, A.

Rok RIV

2015

Vydáno

21. 7. 2015

Nakladatel

SciTePress - Science and Technology Publications

Místo

Colmar

ISBN

978-989-758-120-5

Kniha

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

Strany od

163

Strany do

171

Strany počet

9

URL

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=

BibTex

@inproceedings{BUT119827,
  author="Jan {Chaloupka} and Jiří {Kunovský} and Václav {Šátek} and Petr {Veigend} and Alžbeta {Martinkovičová}",
  title="Numerical Integration of Multiple Integrals Using Taylor's Polynomial",
  booktitle="Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications",
  year="2015",
  pages="163--171",
  publisher="SciTePress - Science and Technology Publications",
  address="Colmar",
  isbn="978-989-758-120-5",
  url="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="
}