Publication detail

Accuracy and Word Width in TKSL

KUNOVSKÝ, J. KRAUS, M. ŠÁTEK, V. KALUŽA, V.

Original Title

Accuracy and Word Width in TKSL

Type

article in a collection out of WoS and Scopus

Language

English

Original 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.

Keywords

differential equation, Taylor series, TKSL, word width

Authors

KUNOVSKÝ, J.; KRAUS, M.; ŠÁTEK, V.; KALUŽA, V.

RIV year

2008

Released

8. 9. 2008

Publisher

IEEE Computer Society

Location

Liverpool

ISBN

978-0-7695-3325-4

Book

Second UKSIM European Symposium on Computer Modeling and Simulation

Pages from

153

Pages to

158

Pages count

6

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"
}