Publication Details

New Trends in Taylor Series Based Applications

KOCINA, F.; ŠÁTEK, V.; VEIGEND, P.; NEČASOVÁ, G.; VALENTA, V.; KUNOVSKÝ, J. New Trends in Taylor Series Based Applications. In 13rd International Conference of Numerical Analysis and Applied Mathematics. AIP conference proceedings. Rhodes: American Institute of Physics, 2015. p. 1-4. ISBN: 978-0-7354-1287-3. ISSN: 0094-243X.
Czech title
Nové trendy v aplikacích Taylorovy řady
Type
conference paper
Language
English
Authors
Kocina Filip, Ing., Ph.D.
Šátek Václav, Ing., Ph.D. (DITS)
Veigend Petr, Ing., Ph.D. (DITS)
Nečasová Gabriela, Ing., Ph.D. (DITS)
Valenta Václav, Ing., Ph.D.
Kunovský Jiří, doc. Ing., CSc.
URL
Keywords

Differential Equations; Parallel Solution; Taylor Series Method; Telegraph Equation

Abstract

The paper deals with the solution of large system of linear ODEs when minimal comunication among parallel processors is required. The Modern Taylor Series Method (MTSM) is used. The MTSM allows using a higher order during the computation that means a larger integration step size while keeping desired accuracy. As an example of complex systems we can take the Telegraph Equation Model. Symbolic and numeric solutions are compared when harmonic input signal is used.

Published
2015
Pages
1–4
Journal
AIP conference proceedings, vol. 2016, no. 1648, ISSN 0094-243X
Proceedings
13rd International Conference of Numerical Analysis and Applied Mathematics
ISBN
978-0-7354-1287-3
Publisher
American Institute of Physics
Place
Rhodes
DOI
10.1063/1.4952173
UT WoS
000380803300397
EID Scopus
2-s2.0-84984560484
BibTeX 
@inproceedings{BUT120374,
  author="Filip {Kocina} and Václav {Šátek} and Petr {Veigend} and Gabriela {Nečasová} and Václav {Valenta} and Jiří {Kunovský}",
  title="New Trends in Taylor Series Based Applications",
  booktitle="13rd International Conference of Numerical Analysis and Applied Mathematics",
  year="2015",
  journal="AIP conference proceedings",
  volume="2016",
  number="1648",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4952173",
  isbn="978-0-7354-1287-3",
  issn="0094-243X",
  url="https://www.scopus.com/record/display.uri?eid=2-s2.0-84984560484&origin=resultslist&sort=plf-f&src=s&st1=New+Trends+in+Taylor+Series+Based+Applications&st2=&sid=124ED7E8734090D5B21AEE9C5813DCB8.FZg2ODcJC9ArCe8WOZPvA%3a10&sot=b&sdt=b&sl=53&s=TITLE%28New+Tr"
}
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