Publication Details

Taylor Series Based Differential Formulas

NEČASOVÁ Gabriela, KUNOVSKÝ Jiří, ŠÁTEK Václav, CHALOUPKA Jan and VEIGEND Petr. Taylor Series Based Differential Formulas. 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
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Chaloupka Jan, Ing. (DITS FIT BUT)
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
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
10.1016/j.ifacol.2015.05.209
EID Scopus
2-s2.0-84954135997
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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