Publication Details
Taylorian initial problem
Kunovský Jiří, doc. Ing., CSc. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
ordinary differential equations, Taylor series, TKSL, MTSM
In recent years, intensive research in the field of numerical solutions of systems of ordinary
and partial differential equations has been done at the Brno University of Technology, Faculty of
Information Technology, Department of Intelligent Systems. The basic numerical method employed
is the so-called Modern Taylor Series Method (MTSM). It has been described, studied, and numerous
aspects have been investigated such as processing in parallel systems. Also a simulation system TKSL
has been developed which is based on the Taylor series method. Although
there have been considerable practical results, theoretical issues are yet to be investigated. A theoretical
background of the method, some succesful results, some comparisons to word standards and idea of
parallel processing will be provided in this paper.
@INPROCEEDINGS{FITPUB8874,
author = "Michal Kraus and Ji\v{r}\'{i} Kunovsk\'{y} and V\'{a}clav \v{S}\'{a}tek",
title = "Taylorian initial problem",
pages = "1181--1186",
booktitle = "Proceedings MATHMOD 09 Vienna - Full Papers CD Volume",
year = 2009,
location = "Vienna, AT",
publisher = "ARGE Simulation News",
ISBN = "978-3-901608-35-3",
language = "english",
url = "https://www.fit.vut.cz/research/publication/8874"
}