Publication Details

Methodology of the Taylor Series Based Computations

DROZDOVÁ Martina, KOPŘIVA Jan, KUNOVSKÝ Jiří and PINDRYČ Milan. Methodology of the Taylor Series Based Computations. In: Proceedings of Third Asia International Conference on Modelling and Simulation. Bandung/Bali: IEEE Computer Society, 2009, pp. 206-211. ISBN 978-0-7695-3648-4.
Czech title
Metodologie výpočtu pomocí Taylorovy řady
Type
conference paper
Language
english
Authors
Drozdová Martina, Ing. (DITS FIT BUT)
Kopřiva Jan, Ing. Ing. (DITS FIT BUT)
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Pindryč Milan, Ing. (DITS FIT BUT)
Keywords

ordinary differential equations, TKSL, Taylor series method, Fourier analysis

Abstract

In this paper an outline is presented of historical and current developments in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. The principal idea of an extremely accurate and fast method for numerical solutions of ordinary differential equations is presented in the paper.
In general Taylor series are not included or not 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 providing integration algorithms of very high accuracy. For this reason the 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 [8], a program the results of which will be dealt with.

Published
2009
Pages
206-211
Proceedings
Proceedings of Third Asia International Conference on Modelling and Simulation
Conference
Third Asia International Conference on Modelling & Simulation, Bandung, Bali, ID
ISBN
978-0-7695-3648-4
Publisher
IEEE Computer Society
Place
Bandung/Bali, ID
BibTeX 
@INPROCEEDINGS{FITPUB8964,
   author = "Martina Drozdov\'{a} and Jan Kop\v{r}iva and Ji\v{r}\'{i} Kunovsk\'{y} and Milan Pindry\v{c}",
   title = "Methodology of the Taylor Series Based Computations",
   pages = "206--211",
   booktitle = "Proceedings of Third Asia International Conference on Modelling and Simulation",
   year = 2009,
   location = "Bandung/Bali, ID",
   publisher = "IEEE Computer Society",
   ISBN = "978-0-7695-3648-4",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/8964"
}
Back to top