Detail publikace

Modern Taylor Series Method

KUNOVSKÝ, J. ŘEZÁČ, D. MELKES, F.

Originální název

Modern Taylor Series Method

Typ

článek ve sborníku mimo WoS a Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

KUNOVSKÝ, J.; ŘEZÁČ, D.; MELKES, F.

Vydáno

19. 4. 2004

Místo

Ostrava

ISBN

80-85988-98-4

Kniha

Proceedings of 38th International Conference MOSIS '04

Strany od

9

Strany do

20

Strany počet

12

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"
}