Publication result detail

TKSL and Stiff System Detection

KUNOVSKÝ, J.; ŘEZÁČ, D.

Original Title

TKSL and Stiff System Detection

English Title

TKSL and Stiff System Detection

Type

Paper in proceedings outside WoS and Scopus

Original 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.

English 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

Key words in English

Modern Taylor series method, TKSL, stiff system detection

Authors

KUNOVSKÝ, J.; ŘEZÁČ, D.

Released

04.02.2004

Publisher

Slovak University of Technology in Bratislava

Location

Bratislava

ISBN

80-227-1995-1

Book

Proceedings of the 3rd International Conference Aplimat

Pages from

621

Pages to

626

Pages count

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"
}