Publication Details

TKSL and Stiff System Detection

KUNOVSKÝ, J.; ŘEZÁČ, D. TKSL and Stiff System Detection. Proceedings of the 3rd International Conference Aplimat. Bratislava: Slovak University of Technology in Bratislava, 2004. p. 621-626. ISBN: 80-227-1995-1.
Czech title
TKSL a detekce stiff soustav
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc.
Řezáč David, Ing., Ph.D.
Keywords

Modern Taylor series method, TKSL, stiff system detection

Abstract

The paper is based on an original mathematical method which uses the Taylor series method for solving differential equations in a non-traditional way. The outstanding feature of the newly developed MTSM (Modern Taylor Series Method) is very high accuracy and speed of the computation. Besides, it has some properties very favourable for parallel processing as only the basic mathematical operations are used during the computation. The Modern Taylor Series Method has been implemented into TKSL/C. The program is able to solve very large systems of ordinary differential equations. However, in technical practice we often have to deal with stiff systems of differential equations. The aim of this paper is to show the stiff system detection and the way of changing the integration step during the computation process when using the Modern Taylor Series Method.

Published
2004
Pages
621–626
Proceedings
Proceedings of the 3rd International Conference Aplimat
ISBN
80-227-1995-1
Publisher
Slovak University of Technology in Bratislava
Place
Bratislava
BibTeX 
@inproceedings{BUT16900,
  author="Jiří {Kunovský} and David {Řezáč}",
  title="TKSL and Stiff System Detection",
  booktitle="Proceedings of the 3rd International Conference Aplimat",
  year="2004",
  pages="621--626",
  publisher="Slovak University of Technology in Bratislava",
  address="Bratislava",
  isbn="80-227-1995-1"
}
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