Detail publikačního výsledku

New Trends in Taylor Series Based Applications

KOCINA, F.; ŠÁTEK, V.; VEIGEND, P.; NEČASOVÁ, G.; VALENTA, V.; KUNOVSKÝ, J.

Originální název

New Trends in Taylor Series Based Applications

Anglický název

New Trends in Taylor Series Based Applications

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

KOCINA, F.; ŠÁTEK, V.; VEIGEND, P.; NEČASOVÁ, G.; VALENTA, V.; KUNOVSKÝ, J.

Rok RIV

2018

Vydáno

23.09.2015

Nakladatel

American Institute of Physics

Místo

Rhodes

ISBN

978-0-7354-1287-3

Kniha

13rd International Conference of Numerical Analysis and Applied Mathematics

ISSN

0094-243X

Periodikum

AIP conference proceedings

Svazek

2016

Číslo

1648

Stát

Spojené státy americké

Strany od

1

Strany do

4

Strany počet

4

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

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"
}