Detail publikace

Stiffness in Technical Initial Problems

KUNOVSKÝ, J. ŠÁTEK, V. VOPĚNKA, V.

Originální název

Stiffness in Technical Initial Problems

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Differential equations, Taylor series method, TKSL, Stiff systems

Autoři

KUNOVSKÝ, J.; ŠÁTEK, V.; VOPĚNKA, V.

Rok RIV

2012

Vydáno

25. 9. 2012

Nakladatel

American Institute of Physics

Místo

Kos

ISBN

978-0-7354-1091-6

Kniha

Proceedings of the 10th International Conference of Numerical Analysis and Applied Mathematics

ISSN

1551-7616

Periodikum

AIP Conference Proceedings

Číslo

1479

Stát

Spojené státy americké

Strany od

2221

Strany do

2224

Strany počet

4

URL

http://proceedings.aip.org/resource/2/apcpcs/1479/1/2221_1

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"
}