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 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

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"
}