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Conference paper

KUNOVSKÝ Jiří, ŠÁTEK Václav and VOPĚNKA Václav. Stiffness in Technical Initial Problems. In: Proceedings of the 10th International Conference of Numerical Analysis and Applied Mathematics. Kos: American Institute of Physics, 2012, p. 4. ISBN 978-0-7354-1091-6. ISSN 1551-7616. Available from: http://proceedings.aip.org/resource/2/apcpcs/1479/1/2221_1

Publication language:

english

Original title:

Stiffness in Technical Initial Problems

Title (cs):

Tuhost v počátečních technických problémech

Pages:

Proceedings:

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

Conference:

10th International Conference of Numerical Analysis and Applied Mathematics

Place:

Kos, GR

Year:

2012

URL:

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

ISBN:

978-0-7354-1091-6

Journal:

AIP Conference Proceedings, No. 1479, US

ISSN:

1551-7616

Publisher:

American Institute of Physics

Files:

Keywords

Differential equations, Taylor series method, TKSL, Stiff systems

Annotation

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.

BibTeX:

@INPROCEEDINGS{
   author = {Ji{\v{r}}{\'{i}} Kunovsk{\'{y}} and V{\'{a}}clav
	{\v{S}}{\'{a}}tek and V{\'{a}}clav Vop{\v{e}}nka},
   title = {Stiffness in Technical Initial Problems},
   pages = {4},
   booktitle = {Proceedings of the 10th International Conference of
	Numerical Analysis and Applied Mathematics},
   journal = {AIP Conference Proceedings},
   number = {1479},
   year = {2012},
   location = {Kos, GR},
   publisher = {American Institute of Physics},
   ISBN = {978-0-7354-1091-6},
   ISSN = {1551-7616},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php.en.iso-8859-2?id=10088}
}

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