Result 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.
Type
conference paper
Language
English
Authors
Nečasová Gabriela, Ing., Ph.D., DITS (FIT)
Kunovský Jiří, doc. Ing., CSc., DITS (FIT)
Šátek Václav, Ing., Ph.D., DITS (FIT)
Chaloupka Jan, Ing., DITS (FIT)
Veigend Petr, Ing., Ph.D., DITS (FIT)
Kunovský Jiří, doc. Ing., CSc., DITS (FIT)
Šátek Václav, Ing., Ph.D., DITS (FIT)
Chaloupka Jan, Ing., DITS (FIT)
Veigend Petr, Ing., Ph.D., DITS (FIT)
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.
Keywords
Dierential equations, Multiple integrals, Taylor series method, Partial Dierential Equations
URL
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
ISBN
978-3-901608-46-9
Publisher
ARGE Simulation News
Place
Vienna
DOI
EID Scopus
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="
}
Files
Projects
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, start: 2011-01-01, end: 2015-12-31, completed
Modern Taylor Series Method and Parallel Implementation of Numerical Methods for Large Systems, MŠMT, AKTION Česká republika - Rakousko, Aktion, start: 2014-02-10, end: 2015-04-30, completed
Spolehlivost a bezpečnost v IT, BUT, Vnitřní projekty VUT, FIT-S-14-2486, start: 2014-01-01, end: 2016-12-31, completed
Verifikace a optimalizace počítačových systémů, BUT, Vnitřní projekty VUT, FIT-S-12-1, start: 2012-01-01, end: 2014-12-31, completed
Modern Taylor Series Method and Parallel Implementation of Numerical Methods for Large Systems, MŠMT, AKTION Česká republika - Rakousko, Aktion, start: 2014-02-10, end: 2015-04-30, completed
Spolehlivost a bezpečnost v IT, BUT, Vnitřní projekty VUT, FIT-S-14-2486, start: 2014-01-01, end: 2016-12-31, completed
Verifikace a optimalizace počítačových systémů, BUT, Vnitřní projekty VUT, FIT-S-12-1, start: 2012-01-01, end: 2014-12-31, completed
Research groups
Departments