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.
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
Conference
12th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, GR
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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