Conference paper

 
Kunovský, J., Řezáč, D.: TKSL and Stiff System Detection, In: Proceedings of the 3rd International Conference Aplimat, Bratislava, SK, STUBA, 2004, p. 621-626, ISBN 80-227-1995-1
Publication language:english
Original title:TKSL and Stiff System Detection
Title (cs):TKSL a detekce stiff soustav
Pages:621-626
Proceedings:Proceedings of the 3rd International Conference Aplimat
Conference:APLIMAT 2004
Place:Bratislava, SK
Year:2004
ISBN:80-227-1995-1
Publisher:Slovak University of Technology in Bratislava
Keywords
Modern Taylor series method, TKSL, stiff system detection
Annotation
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.
BibTeX:
@INPROCEEDINGS{
   author = {Jiří Kunovský and David Řezáč},
   title = {TKSL and Stiff System Detection},
   pages = {621--626},
   booktitle = {Proceedings of the 3rd International Conference Aplimat},
   year = {2004},
   location = {Bratislava, SK},
   publisher = {Slovak University of Technology in Bratislava},
   ISBN = {80-227-1995-1},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=7380}
}