Publication Details

New Trends in Taylor Series Based Applications

KOCINA Filip, ŠÁTEK Václav, VEIGEND Petr, NEČASOVÁ Gabriela, VALENTA Václav and KUNOVSKÝ Jiří. New Trends in Taylor Series Based Applications. In: 13rd International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2015, pp. 1-4. ISBN 978-0-7354-1287-3. ISSN 0094-243X. Available from: 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
Czech title
Nové trendy v aplikacích Taylorovy řady
Type
conference paper
Language
english
Authors
Kocina Filip, Ing., Ph.D. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Veigend Petr, Ing., Ph.D. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Valenta Václav, Ing. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
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 - American Institute of Physics, vol. 2016, no. 1648, ISSN 0094-243X
Proceedings
13rd International Conference of Numerical Analysis and Applied Mathematics
Conference
13rd International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
ISBN
978-0-7354-1287-3
Publisher
American Institute of Physics
Place
Rhodes, GR
DOI
10.1063/1.4952173
UT WoS
000380803300397
EID Scopus
2-s2.0-84984560484
BibTeX 
@INPROCEEDINGS{FITPUB10856,
   author = "Filip Kocina and V\'{a}clav \v{S}\'{a}tek and Petr Veigend and Gabriela Ne\v{c}asov\'{a} and V\'{a}clav Valenta and Ji\v{r}\'{i} Kunovsk\'{y}",
   title = "New Trends in Taylor Series Based Applications",
   pages = "1--4",
   booktitle = "13rd International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   volume = 2016,
   number = 1648,
   year = 2015,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISBN = "978-0-7354-1287-3",
   ISSN = "0094-243X",
   doi = "10.1063/1.4952173",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/10856"
}
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