Publication Details

Modern Taylor Series Method

KUNOVSKÝ, J.; ŘEZÁČ, D.; MELKES, F. Modern Taylor Series Method. Proceedings of 38th International Conference MOSIS '04. Ostrava: 2004. p. 9-20. ISBN: 80-85988-98-4.
Czech title
Moderní metoda Taylorovy řady
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc.
Řezáč David, Ing., Ph.D.
Melkes František, prof. RNDr., CSc.
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 theTaylor series method for solving differential equations in anon-traditional way. Even though this method is not much preferred inthe literature, experimental calculations done at the Department ofIntelligent Systems of the Faculty of Information Technology of TU Brnohave shown and theoretical analyses at
the Department of Mathematics of the Faculty of Electrical Engineeringand Communication of TU Brno have verified that the accuracy andstability of the Taylor series method exceeds the currently usedalgorithms for numerically solving differential equations. It has beenverified that the computation quite naturally uses the full hardwareaccuracy of the computer.

The "Modern Taylor Seriers Method" also has some properties veryfavourable for parallel processing. Many calculation operations areindependent making it possible to perform the calculations usingseparate 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
BibTeX 
@inproceedings{BUT16920,
  author="Jiří {Kunovský} and David {Řezáč} and František {Melkes}",
  title="Modern Taylor Series Method",
  booktitle="Proceedings of 38th International Conference MOSIS '04",
  year="2004",
  pages="9--20",
  address="Ostrava",
  isbn="80-85988-98-4"
}
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