Conference paper

NEČASOVÁ Gabriela, KUNOVSKÝ Jiří, ŠÁTEK Václav, CHALOUPKA Jan and VEIGEND Petr. Multiple Integral Computations Using Taylor Series. In: MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling. Vienna: ARGE Simulation News, 2015, pp. 705-706. ISBN 978-3-901608-46-9. Available from: http://www.scopus.com/record/display.uri?eid=2-s2.0-84954135997&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=0&citeCnt=0&searchTerm=
Publication language:english
Original title:Taylor Series Based Differential Formulas
Title (cs):Výpočet vícerozměrných integrálů s využitím metody Taylorovy řady
Pages:705-706
Proceedings:MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling
Conference:MATHMOD 2015 - 8th Vienna International Conference on Mathematical Modelling
Series:ARGESIM REPORT No. 44
Place:Vienna, AT
Year:2015
URL:http://www.scopus.com/record/display.uri?eid=2-s2.0-84954135997&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=0&citeCnt=0&searchTerm=
ISBN:978-3-901608-46-9
Publisher:ARGE Simulation News
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Keywords
Di erential equations, Multiple integrals, Taylor series method, Partial Di erential Equations
Annotation
The paper is a part of student cooperation in AKTION project (Austria-Czech) and concentrates on numerical computations using high-order forward, backward and symmetrical formulas. As an example, the hyperbolic PDE is analyzed, together with multiple integral computations. A multiple integral of a continuous function of n variables can be computed by n-ary integration of the function fixing the remaining variables.
BibTeX:
@INPROCEEDINGS{
   author = {Gabriela Ne{\v{c}}asov{\'{a}} and Ji{\v{r}}{\'{i}}
	Kunovsk{\'{y}} and V{\'{a}}clav {\v{S}}{\'{a}}tek and Jan
	Chaloupka and Petr Veigend},
   title = {Taylor Series Based Differential Formulas},
   pages = {705--706},
   booktitle = {MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical
	Modelling},
   series = {ARGESIM REPORT No. 44},
   year = {2015},
   location = {Vienna, AT},
   publisher = {ARGE Simulation News},
   ISBN = {978-3-901608-46-9},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php.en.iso-8859-2?id=10746}
}

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