Publication Details
Accuracy and Word Width in TKSL
Kraus Michal, Ing. (DITS FIT BUT)
Šátek Václav, Ing., Ph.D. (DITS FIT BUT)
Kaluža Vlastimil, Ing. (DITS FIT BUT)
differential equation, Taylor series, TKSL, word width
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.
@INPROCEEDINGS{FITPUB8732,
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 = "153--158",
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/8732"
}