Conference paperKRAUS Michal, KUNOVSKÝ Jiří and ŠÁTEK Václav. Taylorian initial problem. In: Proceedings MATHMOD 09 Vienna  Full Papers CD Volume. Vienna: ARGE Simulation News, 2009, pp. 11811186. ISBN 9783901608353.  Publication language:  english 

Original title:  Taylorian initial problem 

Title (cs):  Taylorian initial problem 

Pages:  11811186 

Proceedings:  Proceedings MATHMOD 09 Vienna  Full Papers CD Volume 

Conference:  MATHMOD 2009  6th Vienna International Conference on Mathematical Modelling 

Place:  Vienna, AT 

Year:  2009 

ISBN:  9783901608353 

Publisher:  ARGE Simulation News 

Keywords 

ordinary differential equations, Taylor series, TKSL, MTSM

Annotation 

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 socalled 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. 
BibTeX: 

@INPROCEEDINGS{
author = {Michal Kraus and Ji{\v{r}}{\'{i}} Kunovsk{\'{y}} and
V{\'{a}}clav {\v{S}}{\'{a}}tek},
title = {Taylorian initial problem},
pages = {11811186},
booktitle = {Proceedings MATHMOD 09 Vienna  Full Papers CD Volume},
year = {2009},
location = {Vienna, AT},
publisher = {ARGE Simulation News},
ISBN = {9783901608353},
language = {english},
url = {http://www.fit.vutbr.cz/research/view_pub.php?id=8874}
} 
