Conference paper

KRAUS 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. 177-180. ISBN 978-0-7695-3325-4.
Publication language:english
Original title:Taylor Series Numerical Integrator
Title (cs):Taylor Series Numerical Integrator
Pages:177-180
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:978-0-7695-3325-4
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
FPGA-based 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 = {177--180},
   booktitle = {Second UKSIM European Symposium on Computer Modeling and
	Simulation},
   year = {2008},
   location = {Liverpool, GB},
   publisher = {IEEE Computer Society},
   ISBN = {978-0-7695-3325-4},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=8734}
}

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