Publication detail

Numerical Integration of Multiple Integrals Using Taylor's Polynomial

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

Original Title

Numerical Integration of Multiple Integrals Using Taylor's Polynomial

Type

conference paper

Language

English

Original 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.

Keywords

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

Authors

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

RIV year

2015

Released

21. 7. 2015

Publisher

SciTePress - Science and Technology Publications

Location

Colmar

ISBN

978-989-758-120-5

Book

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

Pages from

163

Pages to

171

Pages count

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="
}