Faculty of Information Technology, BUT

Publication Details

Taylor Series Numerical Integrator

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.
Czech title
Taylor Series Numerical Integrator
Type
conference paper
Language
english
Authors
Keywords
differential equation, Taylor series, integrator, FPGA
Abstract
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.
Published
2008
Pages
177-180
Proceedings
Second UKSIM European Symposium on Computer Modeling and Simulation
Conference
2nd UK European Symposium on Computer Modelling and Simulation, Liverpool, GB
ISBN
978-0-7695-3325-4
Publisher
IEEE Computer Society
Place
Liverpool, GB
BibTeX
@INPROCEEDINGS{FITPUB8734,
   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 = "https://www.fit.vut.cz/research/publication/8734"
}
Back to top