Publication Details

Stiffness in Technical Initial Problems

KUNOVSKÝ, J.; ŠÁTEK, V.; VOPĚNKA, V. Stiffness in Technical Initial Problems. In Proceedings of the 10th International Conference of Numerical Analysis and Applied Mathematics. AIP Conference Proceedings. Kos: American Institute of Physics, 2012. p. 2221-2224. ISBN: 978-0-7354-1091-6. ISSN: 1551-7616.
Czech title
Tuhost v počátečních technických problémech
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc.
Šátek Václav, Ing., Ph.D. (DITS)
Vopěnka Václav, Ing.
and others
URL
Keywords

Differential equations, Taylor series method, TKSL, Stiff systems

Abstract

Technical initial problems are defined as initial problems where the right-hand side functions of the system are those occurring in the technical practice, that is functions generated by adding, multiplying and superposing elementary functions. Such systems can be expanded into systems with only rationals operations on the right-hand sides of the equations. In such a case the Taylor series terms can easily be calculated. Test examples are presented in the paper. Stiffness in technical initial problems can be eliminated by the TKSL software and solved by the direct use of the explicit and implicit Taylor series methods.

Published
2012
Pages
2221–2224
Journal
AIP Conference Proceedings, no. 1479, ISSN 1551-7616
Proceedings
Proceedings of the 10th International Conference of Numerical Analysis and Applied Mathematics
ISBN
978-0-7354-1091-6
Publisher
American Institute of Physics
Place
Kos
DOI
10.1063/1.4756634
UT WoS
000310698100524
BibTeX 
@inproceedings{BUT97009,
  author="Jiří {Kunovský} and Václav {Šátek} and Václav {Vopěnka}",
  title="Stiffness in Technical Initial Problems",
  booktitle="Proceedings of the 10th International Conference of Numerical Analysis and Applied Mathematics",
  year="2012",
  journal="AIP Conference Proceedings",
  number="1479",
  pages="2221--2224",
  publisher="American Institute of Physics",
  address="Kos",
  doi="10.1063/1.4756634",
  isbn="978-0-7354-1091-6",
  issn="1551-7616",
  url="http://proceedings.aip.org/resource/2/apcpcs/1479/1/2221_1"
}
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