Publication Details

Numerical Integration of Multiple Integrals Using Taylor's Polynomial

CHALOUPKA, J.; KUNOVSKÝ, J.; ŠÁTEK, V.; VEIGEND, P.; MARTINKOVIČOVÁ, A. Numerical Integration of Multiple Integrals Using Taylor's Polynomial. In Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications. Colmar: SciTePress - Science and Technology Publications, 2015. p. 163-171. ISBN: 978-989-758-120-5.

Czech title

Numerická integrace vícenásobných integrálů pomocí Taylorova polynomu

Type

conference paper

Language

English

Authors

Chaloupka Jan, Ing.
Kunovský Jiří, doc. Ing., CSc.
Šátek Václav, Ing., Ph.D. (DITS)
Veigend Petr, Ing., Ph.D. (DITS)
Martinkovičová Alžbeta, Mgr.

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=

Keywords

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

Abstract

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.

Published

2015

Pages

163–171

Proceedings

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

ISBN

978-989-758-120-5

Publisher

SciTePress - Science and Technology Publications

Place

Colmar

EID Scopus

2-s2.0-84960951970

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="
}