Publication Details

Taylor Series Based Differential Formulas

NEČASOVÁ, G.; KUNOVSKÝ, J.; ŠÁTEK, V.; CHALOUPKA, J.; VEIGEND, P. Taylor Series Based Differential Formulas. In MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling. ARGESIM REPORT No. 44. Vienna: ARGE Simulation News, 2015. p. 705-706. ISBN: 978-3-901608-46-9.
Czech title
Výpočet vícerozměrných integrálů s využitím metody Taylorovy řady
Type
conference paper
Language
English
Authors
Nečasová Gabriela, Ing., Ph.D. (DITS)
Kunovský Jiří, doc. Ing., CSc.
Šátek Václav, Ing., Ph.D. (DITS)
Chaloupka Jan, Ing.
Veigend Petr, Ing., Ph.D. (DITS)
URL
Keywords

Dierential equations, Multiple integrals, Taylor series method, Partial Dierential 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
ISBN
978-3-901608-46-9
Publisher
ARGE Simulation News
Place
Vienna
DOI
10.1016/j.ifacol.2015.05.209
EID Scopus
2-s2.0-84954135997
BibTeX 
@inproceedings{BUT119795,
  author="Gabriela {Nečasová} and Jiří {Kunovský} and Václav {Šátek} and Jan {Chaloupka} and Petr {Veigend}",
  title="Taylor Series Based Differential Formulas",
  booktitle="MATHMOD VIENNA 2015 - 8th Vienna Conference on Mathematical Modelling",
  year="2015",
  series="ARGESIM REPORT No. 44",
  pages="705--706",
  publisher="ARGE Simulation News",
  address="Vienna",
  doi="10.1016/j.ifacol.2015.05.209",
  isbn="978-3-901608-46-9",
  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="
}
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