Publication Details

Taylor Series And Stiff System Detection

KUNOVSKÝ Jiří, TOMICA Petr and HOLUB Ondřej. Taylor Series And Stiff System Detection. In: Proceedings from the 4-th International conference Aplimat 2005. Part II. Bratislava: Slovak University of Technology in Bratislava, 2005, pp. 75-80. ISBN 80-969264-2-X.
Czech title
Detekce Tuhých Systémů a Metoda Taylorovy Řady
Type
conference paper
Language
english
Authors
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Tomica Petr, Ing. (DITS FIT BUT)
Holub Ondřej, Ing. (FEECS BUT)
Keywords

Modern Taylor series method, TKSL, stiff system detection

Abstract

An original numerical method for solving systems of ordinal differential equations - Modern Taylor Series Method (MTSM) - has been created at FIT VUT Brno. The metod uses a variable number of terms of Taylor series that has a positive inffuence on speed and accurancy of computation MTSM uses only basic  arithmetic operations and it is easily parallelable in different degrees of  parallelization. It is the aim of this paper to evaluate the possibilities of  the stiff systems being solved by the Modern Taylor Series Method.

Published
2005
Pages
75-80
Proceedings
Proceedings from the 4-th International conference Aplimat 2005
Series
Part II
Conference
APLIMAT 2005, Bratislava, SK
ISBN
80-969264-2-X
Publisher
Slovak University of Technology in Bratislava
Place
Bratislava, SK
BibTeX 
@INPROCEEDINGS{FITPUB7718,
   author = "Ji\v{r}\'{i} Kunovsk\'{y} and Petr Tomica and Ond\v{r}ej Holub",
   title = "Taylor Series And Stiff System Detection",
   pages = "75--80",
   booktitle = "Proceedings from the 4-th International conference Aplimat 2005",
   series = "Part II",
   year = 2005,
   location = "Bratislava, SK",
   publisher = "Slovak University of Technology in Bratislava",
   ISBN = "80-969264-2-X",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/7718"
}
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