Conference paperKUNOVSKÝ Jiří, ŠÁTEK Václav, KRAUS Michal and KOPŘIVA Jan. Semianalytical Computations Based on TKSL. In: Second UKSIM European Symposium on Computer Modeling and Simulation. Liverpool: IEEE Computer Society, 2008, pp. 159164. ISBN 9780769533254.  Publication language:  english 

Original title:  Semianalytical Computations Based on TKSL 

Title (cs):  Semianalytical Computations Based on TKSL 

Pages:  159164 

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, TKSL, Polynomials functions, Finite integrals, Fourier Series, Exponential functions 
Annotation 

The paper deals with semianalytical 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 = {Semianalytical Computations Based on TKSL},
pages = {159164},
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?id=8733}
} 
