Conference paper

KUNOVSKÝ Jiří, ŠÁTEK Václav, KRAUS Michal and KOPŘIVA Jan. Semi-analytical Computations Based on TKSL. In: Second UKSIM European Symposium on Computer Modeling and Simulation. Liverpool: IEEE Computer Society, 2008, pp. 159-164. ISBN 978-0-7695-3325-4.
Publication language:english
Original title:Semi-analytical Computations Based on TKSL
Title (cs):Semi-analytical Computations Based on TKSL
Pages:159-164
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, TKSL, Polynomials functions, Finite integrals, Fourier Series, Exponential functions
Annotation
The paper deals with semi-analytical computations and gives the examples of absolutely exact solutions that can be obtained using numerical solutions of differential equations. Numerical solutions of differential equations based on the Taylor series are implemented in a simulation language TKSL. Polynomials functions, Finite integrals, Fourier Series and Exponential functions are but a few examples of successful application areas. The main idea behind the Modern Taylor Series Method is an automatic integration method order setting, i.e. using as many Taylor series terms for computing as needed to achieve the required accuracy. The Modern Taylor Series Method used in the computations increases the method order automatically, i.e. the values of the Taylor series terms are computed for increasing integer values of p until adding the next term does not improve the accuracy of the solution.
BibTeX:
@INPROCEEDINGS{
   author = {Ji{\v{r}}{\'{i}} Kunovsk{\'{y}} and V{\'{a}}clav
	{\v{S}}{\'{a}}tek and Michal Kraus and Jan Kop{\v{r}}iva},
   title = {Semi-analytical Computations Based on TKSL},
   pages = {159--164},
   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=8733}
}

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