Publication detail

Modern Taylor Series Method

KUNOVSKÝ, J. ŘEZÁČ, D. MELKES, F.

Original Title

Modern Taylor Series Method

Type

article in a collection out of WoS and Scopus

Language

English

Original 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.

Keywords

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

Authors

KUNOVSKÝ, J.; ŘEZÁČ, D.; MELKES, F.

Released

19. 4. 2004

Publisher

Marq software s.r.o.

Location

Ostrava

ISBN

80-85988-98-4

Book

Proceedings of 38th International Conference MOSIS '04

Pages from

9

Pages to

20

Pages count

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",
  publisher="Marq software s.r.o.",
  address="Ostrava",
  isbn="80-85988-98-4"
}