Publication Details

Accuracy and Word Width in TKSL

KUNOVSKÝ, J.; KRAUS, M.; ŠÁTEK, V.; KALUŽA, V. Accuracy and Word Width in TKSL. Second UKSIM European Symposium on Computer Modeling and Simulation. Liverpool: IEEE Computer Society, 2008. p. 153-158. ISBN: 978-0-7695-3325-4.
Czech title
Accuracy and Word Width in TKSL
Type
conference paper
Language
English
Authors
Kunovský Jiří, doc. Ing., CSc.
Kraus Michal, Ing., Ph.D.
Šátek Václav, Ing., Ph.D. (DITS)
Kaluža Vlastimil, Ing.
Keywords

differential equation, Taylor series, TKSL, word width

Abstract

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.

Published
2008
Pages
153–158
Proceedings
Second UKSIM European Symposium on Computer Modeling and Simulation
ISBN
978-0-7695-3325-4
Publisher
IEEE Computer Society
Place
Liverpool
BibTeX
@inproceedings{BUT32114,
  author="Jiří {Kunovský} and Michal {Kraus} and Václav {Šátek} and Vlastimil {Kaluža}",
  title="Accuracy and Word Width in TKSL",
  booktitle="Second UKSIM European Symposium on Computer Modeling and Simulation",
  year="2008",
  pages="153--158",
  publisher="IEEE Computer Society",
  address="Liverpool",
  isbn="978-0-7695-3325-4"
}
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