Conference paperKRAUS Michal, KUNOVSKÝ Jiří and ŠÁTEK Václav. Taylor Series Numerical Integrator. In: Second UKSIM European Symposium on Computer Modeling and Simulation. Liverpool: IEEE Computer Society, 2008, pp. 177180. ISBN 9780769533254.  Publication language:  english 

Original title:  Taylor Series Numerical Integrator 

Title (cs):  Taylor Series Numerical Integrator 

Pages:  177180 

Proceedings:  Second UKSIM European Symposium on Computer Modeling and Simulation 

Conference:  2nd UK European Symposium on Computer Modelling and Simulation 

Place:  Liverpool, GB 

Year:  2008 

ISBN:  9780769533254 

Publisher:  IEEE Computer Society 

Keywords 

differential equation, Taylor series, integrator, FPGA

Annotation 

The simulation language TKSL and Modern Taylor Series Method have proved to be very powerful computing tools for extremely exact, stable and fast numerical solutions of systems of differential equations. In a natural way, TKSL also involves solutions of problems that can be converted to solving a system of differential equations. As an example, a solution of a set of simultaneous algebraic equations by system of differential equations is dealt with in the paper. The solution of a set of algebraic equations by differential equations represents a parallel computation when special units so called integrators are used. All the integrators are working in parallel, e.g. all integrators are controlled by the same algorithm of a numerical integration method. That is why, a parallel interpretation of integrators in a suitable hardware can be expected. We outline the design and implementation of an FPGAbased numerical integrator that will form the basis of our FPGAbased parallel hardware. A Numerical Integrator Simulator is used for simulation of a behavior of Taylor Series Numerical Integrator. 
BibTeX: 

@INPROCEEDINGS{
author = {Michal Kraus and Ji{\v{r}}{\'{i}} Kunovsk{\'{y}} and
V{\'{a}}clav {\v{S}}{\'{a}}tek},
title = {Taylor Series Numerical Integrator},
pages = {177180},
booktitle = {Second UKSIM European Symposium on Computer Modeling and
Simulation},
year = {2008},
location = {Liverpool, GB},
publisher = {IEEE Computer Society},
ISBN = {9780769533254},
language = {english},
url = {http://www.fit.vutbr.cz/research/view_pub.php.en.iso88592?id=8734}
} 
