Faculty of Information Technology, BUT

Publication Details

Taylor Series Based Differential Formulas

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. ARGESIM REPORT No. 44. 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=
Czech title
Výpočet vícerozměrných integrálů s využitím metody Taylorovy řady
Type
conference paper
Language
english
Authors
URL
Keywords
Di erential equations, Multiple integrals, Taylor series method, Partial Di erential Equations
Abstract
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.
Published
2015
Pages
705-706
Proceedings
MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling
Series
ARGESIM REPORT No. 44
Conference
MATHMOD 2015 - 8th Vienna International Conference on Mathematical Modelling, Vienna, AT
ISBN
978-3-901608-46-9
Publisher
ARGE Simulation News
Place
Vienna, AT
DOI
BibTeX
@INPROCEEDINGS{FITPUB10746,
   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",
   doi = "10.1016/j.ifacol.2015.05.209",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/10746"
}
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