Publication Details

Modern Taylor Series Method

KUNOVSKÝ Jiří, ŘEZÁČ David and MELKES František. Modern Taylor Series Method. In: Proceedings of 38th International Conference MOSIS '04. Ostrava, 2004, pp. 9-20. ISBN 80-85988-98-4.
Czech title
Moderní metoda Taylorovy řady
Type
conference paper
Language
english
Authors
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Řezáč David, Ing., Ph.D. (DITS FIT BUT)
Melkes František, Prof. RNDr., CSc. (DMAT FEEC BUT)
Keywords

Taylor series, Systems of ordinary differential equations, Applications of Modern Taylor Series Method

Abstract

The method is based on an original mathematical method which uses the Taylor series method for solving differential equations in a non-traditional way. Even though this method is not much preferred in the literature, experimental calculations done at the Department of Intelligent Systems of the Faculty of Information Technology of TU Brno have shown and theoretical analyses at
the Department of Mathematics of the Faculty of Electrical Engineering and Communication of TU Brno have verified that the accuracy and stability of the Taylor series method exceeds the currently used algorithms for numerically solving differential equations. It has been verified that the computation quite naturally uses the full hardware accuracy of the computer.

The "Modern Taylor Seriers Method" also has some properties very favourable for parallel processing. Many calculation operations are independent making it possible to perform the calculations using separate processors of parallel computing systems.

Published
2004
Pages
9-20
Proceedings
Proceedings of 38th International Conference MOSIS '04
Conference
MOSIS 2004 - Modelling and Simulation of Systems, Rožnov pod Radhoštěm, CZ
ISBN
80-85988-98-4
Place
Ostrava, CZ
BibTeX 
@INPROCEEDINGS{FITPUB7425,
   author = "Ji\v{r}\'{i} Kunovsk\'{y} and David \v{R}ez\'{a}\v{c} and Franti\v{s}ek Melkes",
   title = "Modern Taylor Series Method",
   pages = "9--20",
   booktitle = "Proceedings of 38th International Conference MOSIS '04",
   year = 2004,
   location = "Ostrava, CZ",
   ISBN = "80-85988-98-4",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/7425"
}
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