Conference paperKUNOVSKÝ Jiří, KRAUS Michal, ŠÁTEK Václav and KALUŽA Vlastimil. Accuracy and Word Width in TKSL. In: Second UKSIM European Symposium on Computer Modeling and Simulation. Liverpool: IEEE Computer Society, 2008, pp. 153158. ISBN 9780769533254.  Publication language:  english 

Original title:  Accuracy and Word Width in TKSL 

Title (cs):  Accuracy and Word Width in TKSL 

Pages:  153158 

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, word width

Annotation 

Homogeneous differential equations with constant coefficients are analysed in the paper to show how extremely high accuracy and speed of computations can be obtained using Taylor series for numerical solutions of differential equations. Two examples of homogeneous differential equations and their solutions by the Modern Taylor Series Method will be analysed in this paper. 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 Michal Kraus and
V{\'{a}}clav {\v{S}}{\'{a}}tek and Vlastimil Kalu{\v{z}}a},
title = {Accuracy and Word Width in TKSL},
pages = {153158},
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=8732}
} 
