Publication detail

Stiffness in Technical Initial Problems

KUNOVSKÝ, J. ŠÁTEK, V. VOPĚNKA, V.

Original Title

Stiffness in Technical Initial Problems

Type

conference paper

Language

English

Original 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.

Keywords

Differential equations, Taylor series method, TKSL, Stiff systems

Authors

KUNOVSKÝ, J.; ŠÁTEK, V.; VOPĚNKA, V.

RIV year

2012

Released

25. 9. 2012

Publisher

American Institute of Physics

Location

Kos

ISBN

978-0-7354-1091-6

Book

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

ISBN

1551-7616

Periodical

AIP Conference Proceedings

Number

1479

State

United States of America

Pages from

2221

Pages to

2224

Pages count

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"
}