Publication Details

New Trends in Taylor Series Based Computations

KOCINA Filip, KUNOVSKÝ Jiří, MAREK Martin, NEČASOVÁ Gabriela, SCHIRRER Alexander and ŠÁTEK Václav. New Trends in Taylor Series Based Computations. In: 12th 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: http://dx.doi.org/10.1063/1.3241449
Czech title
Nové trendy ve výpočtech s využitím Taylorovy řady
Type
conference paper
Language
english
Authors
Kocina Filip, Ing., Ph.D. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Marek Martin, Ing. (DITS FIT BUT)
Nečasová Gabriela, Ing., Ph.D. (DITS FIT BUT)
Schirrer Alexander, doc. Dr. Ing. (TU-Wien)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
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 - American Institute of Physics, 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, GR
DOI
10.1063/1.4913136
UT WoS
000355339705133
EID Scopus
2-s2.0-84939649102
BibTeX 
@INPROCEEDINGS{FITPUB10496,
   author = "Filip Kocina and Ji\v{r}\'{i} Kunovsk\'{y} and Martin Marek and Gabriela Ne\v{c}asov\'{a} and Alexander Schirrer and V\'{a}clav \v{S}\'{a}tek",
   title = "New Trends in Taylor Series Based Computations",
   pages = "1--4",
   booktitle = "12th International Conference of Numerical Analysis and Applied Mathematics",
   journal = "AIP Conference Proceedings - American Institute of Physics",
   volume = 2015,
   number = 1648,
   year = 2015,
   location = "Rhodes, GR",
   publisher = "American Institute of Physics",
   ISBN = "978-0-7354-1287-3",
   ISSN = "0094-243X",
   doi = "10.1063/1.4913136",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/10496"
}
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