Conference paper

CHALOUPKA Jan, KUNOVSKÝ Jiří, ŠÁTEK Václav, VEIGEND Petr and MARTINKOVIČOVÁ Alžbeta. 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, pp. 163-171. ISBN 978-989-758-120-5. Available from: 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=
Publication language:english
Original title:Numerical Integration of Multiple Integrals Using Taylor's Polynomial
Title (cs):Numerická integrace vícenásobných integrálů pomocí Taylorova polynomu
Pages:163-171
Proceedings:Proceedings of the 5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications
Conference:5th International Conference on Simulation and Modeling Methodologies, Technologies and Applications
Place:Colmar, FR
Year:2015
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=
ISBN:978-989-758-120-5
Publisher:SciTePress - Science and Technology Publications
Keywords
Multiple Integrals, Numerical Integration, Taylor's Polynomial, Modern Taylor Series Method
Annotation
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.
BibTeX:
@INPROCEEDINGS{
   author = {Jan Chaloupka and Ji{\v{r}}{\'{i}} Kunovsk{\'{y}} and
	V{\'{a}}clav {\v{S}}{\'{a}}tek and Petr Veigend and
	Al{\v{z}}beta Martinkovi{\v{c}}ov{\'{a}}},
   title = {Numerical Integration of Multiple Integrals Using Taylor's
	Polynomial},
   pages = {163--171},
   booktitle = {Proceedings of the 5th International Conference on
	Simulation and Modeling Methodologies, Technologies and
	Applications},
   year = {2015},
   location = {Colmar, FR},
   publisher = {SciTePress - Science and Technology Publications},
   ISBN = {978-989-758-120-5},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=10825}
}

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