Publication result detail

New Trends in Taylor Series Based Applications

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

Original Title

New Trends in Taylor Series Based Applications

English Title

New Trends in Taylor Series Based Applications

Type

Paper in proceedings (conference paper)

Original 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.

English 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.

Keywords

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

Key words in English

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

Authors

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

RIV year

2018

Released

23.09.2015

Publisher

American Institute of Physics

Location

Rhodes

ISBN

978-0-7354-1287-3

Book

13rd International Conference of Numerical Analysis and Applied Mathematics

ISBN

0094-243X

Periodical

AIP conference proceedings

Volume

2016

Number

1648

State

United States of America

Pages from

1

Pages to

4

Pages count

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"
}