Conference paperKOPŘIVA Jan, KUNOVSKÝ Jiří, ŠÁTEK Václav, DROZDOVÁ Martina and SCHIRRER Alexander. Parallel Computations Based on Automatic Transformation of Ordinary Differential Equations. In: Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics. Rhodes: American Institute of Physics, 2013, pp. 22932296. ISBN 9780735411845. ISSN 0094243X.  Publication language:  english 

Original title:  Parallel Computations Based on Automatic Transformation of Ordinary Differential Equations 

Title (cs):  Paralelní výpočty založené na automatické tranformaci obyčejných diferenciálních rovnic 

Pages:  22932296 

Proceedings:  Proceedings of the 11th International Conference of Numerical Analysis and Applied Mathematics 

Conference:  11th International Conference of Numerical Analysis and Applied Mathematics 

Place:  Rhodes, GR 

Year:  2013 

ISBN:  9780735411845 

Journal:  AIP Conference Proceedings  American Institute of Physics, No. 1, US 

ISSN:  0094243X 

DOI:  10.1063/1.4825998 

Publisher:  American Institute of Physics 

Keywords 

Modified Numerical Integration Methods, Parallel Computations, Initial Value Problems, Ordinary Differential Equations

Annotation 

Even though the idea of parallel computing and parallel connection of high amount of microprocessors is attractive, it is not easy to reach big increase in performance compared to single processor approach. The potential of parallel data processing has already been studied. It was found, that even a small percentage of sequential steps may lead to high reduction of performance of the entire system. This is the consequence of the fact, that most algorithms were not developed for heavy parallel systems. 
BibTeX: 

@INPROCEEDINGS{
author = {Jan Kop{\v{r}}iva and Ji{\v{r}}{\'{i}}
Kunovsk{\'{y}} and V{\'{a}}clav {\v{S}}{\'{a}}tek
and Martina Drozdov{\'{a}} and Alexander Schirrer},
title = {Parallel Computations Based on Automatic
Transformation of Ordinary Differential Equations},
pages = {22932296},
booktitle = {Proceedings of the 11th International Conference of
Numerical Analysis and Applied Mathematics},
journal = {AIP Conference Proceedings  American Institute of Physics},
number = 1,
year = 2013,
location = {Rhodes, GR},
publisher = {American Institute of Physics},
ISBN = {9780735411845},
ISSN = {0094243X},
doi = {10.1063/1.4825998},
language = {english},
url = {http://www.fit.vutbr.cz/research/view_pub.php?id=10317}
} 
