Publication Details

New Trends in Taylor Series Based Computations

KUNOVSKÝ, J.; ŠÁTEK, V.; KOCINA, F.; NEČASOVÁ, G.; MAREK, M.; SCHIRRER, A. New Trends in Taylor Series Based Computations. In 12th 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 ve výpočtech s využitím Taylorovy řady
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc.
Šátek Václav, Ing., Ph.D. (DITS)
Kocina Filip, Ing., Ph.D.
Nečasová Gabriela, Ing., Ph.D. (DITS)
Marek Martin, Ing.
Schirrer Alexander, doc. Dr. Ing. (FIT)
URL
Keywords

Ordinary Differential Equations, Taylor Series Method, TKSL, Partial Differential Equations

Abstract

The paper is a part of student cooperation in AKTION project (Austria-Czech) and concentrates on the numerical solution of partial differential equations (PDEs) using high-order forward, backward and symmetrical formulas. As an example, the hyperbolic PDE is analyzed. The paper is based on the numerical solution of ordinary differential equations by the Taylor series method and on the simulation language TKSL that has been created to test the properties of the technical initial problems and to test an algorithm for Taylor series method. The idea of parallel computations using special integrators is also a part of the paper.

Published
2015
Pages
1–4
Journal
AIP conference proceedings, vol. 2015, no. 1648, ISSN 0094-243X
Proceedings
12th International Conference of Numerical Analysis and Applied Mathematics
ISBN
978-0-7354-1287-3
Publisher
American Institute of Physics
Place
Rhodes
DOI
10.1063/1.4913136
UT WoS
000355339705133
EID Scopus
2-s2.0-84939649102
BibTeX 
@inproceedings{BUT111516,
  author="Jiří {Kunovský} and Václav {Šátek} and Filip {Kocina} and Gabriela {Nečasová} and Martin {Marek} and Alexander {Schirrer}",
  title="New Trends in Taylor Series Based Computations",
  booktitle="12th International Conference of Numerical Analysis and Applied Mathematics",
  year="2015",
  journal="AIP conference proceedings",
  volume="2015",
  number="1648",
  pages="1--4",
  publisher="American Institute of Physics",
  address="Rhodes",
  doi="10.1063/1.4913136",
  isbn="978-0-7354-1287-3",
  issn="0094-243X",
  url="http://dx.doi.org/10.1063/1.3241449"
}
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