Detail publikace

TKSL and Stiff System Detection

KUNOVSKÝ, J. ŘEZÁČ, D.

Originální název

TKSL and Stiff System Detection

Typ

článek ve sborníku mimo WoS a Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Modern Taylor series method, TKSL, stiff system detection

Autoři

KUNOVSKÝ, J.; ŘEZÁČ, D.

Vydáno

4. 2. 2004

Nakladatel

Slovak University of Technology in Bratislava

Místo

Bratislava

ISBN

80-227-1995-1

Kniha

Proceedings of the 3rd International Conference Aplimat

Strany od

621

Strany do

626

Strany počet

6

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"
}