Publication Details

Technical Initial Problems and Automatic Transformation

KALUŽA Vlastimil, KUNOVSKÝ Jiří, SEHNALOVÁ Pavla and KOPŘIVA Jan. Technical Initial Problems and Automatic Transformation. In: 2009 International Conference on Computational Intelligence, Modelling and Simulation. Brno: IEEE Computer Society, 2009, pp. 75-80. ISBN 978-0-7695-3795-5.
Czech title
Technické počáteční problémy a automatická transformace
Type
conference paper
Language
english
Authors
Kaluža Vlastimil, Ing. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Sehnalová Pavla, Ing. (DITS FIT BUT)
Kopřiva Jan, Ing. Ing. (DITS FIT BUT)
Keywords

Taylor series method, differential equations, TKSL, numerical method, order of Taylor series method

Abstract

In this paper an outline is given of historical and current developments in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. Then an extremely accurate and fast method for the numerical solution of ordinary differential equations is presented.
In general Taylor series method is not included or even mentioned in surveys on numerical integration techniques as the programs were written by mathematicians with the main objective of demonstrating the feasibility of the concept and with the goal of finding integration algorithms of very high accuracy. For this reason such programs should be looked upon as a stimulus for writing more advanced software employing Taylor series better able to compete with programs using other methods. An attempt in this direction is TKSL, a program the results of which will be dealt with.

Published
2009
Pages
75-80
Proceedings
2009 International Conference on Computational Intelligence, Modelling and Simulation
Conference
International Conference on Computer Modelling and Simulation - CSSim 2009, Brno, CZ
ISBN
978-0-7695-3795-5
Publisher
IEEE Computer Society
Place
Brno, CZ
BibTeX 
@INPROCEEDINGS{FITPUB9050,
   author = "Vlastimil Kalu\v{z}a and Ji\v{r}\'{i} Kunovsk\'{y} and Pavla Sehnalov\'{a} and Jan Kop\v{r}iva",
   title = "Technical Initial Problems and Automatic Transformation",
   pages = "75--80",
   booktitle = "2009 International Conference on Computational Intelligence, Modelling and Simulation",
   year = 2009,
   location = "Brno, CZ",
   publisher = "IEEE Computer Society",
   ISBN = "978-0-7695-3795-5",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/9050"
}
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