Result 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.
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc., DITS (FIT)
Řezáč David, Ing., Ph.D., CVP - Univerzita tř.vě (CECC), DITS (FIT)
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 developedMTSM (Modern Taylor Series Method) is very high accuracy and speed ofthe computation. Besides, it has some properties very favourable forparallel processing as only the basic mathematical operations are usedduring the computation.
The Modern Taylor Series Method has been implemented into TKSL/C. Theprogram is able to solve very large systems of ordinary differentialequations.

However, in technical practice we often have to deal with stiff systemsof differential equations. The aim of this paper is to show the stiffsystem detection and the way of changing the integration step duringthe computation process when using the Modern Taylor Series Method.

Keywords

Modern Taylor series method, TKSL, stiff system detection

Published
2004
Pages
621–626
Proceedings
Proceedings of the 3rd International Conference Aplimat
Conference
APLIMAT 2004
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"
}
Projects
Environment for Development, Modelling, and Application of Heterogeneous Systems, GACR, Standardní projekty, GA102/01/1485, start: 2001-01-01, end: 2003-12-31, completed
Simulation language TKSL, BUT, Institucionální podpora na rozvoj výzkumné organizace, UIVT-TKSL, start: 2001-08-02, end: 2010-12-31, completed
Research groups
High Performance Computing Research Group (RG HPC)
Departments
Department of Intelligent Systems (DITS)
Faculty of Information Technology (FIT)
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