Detail publikačního výsledku

Accuracy and Word Width in TKSL

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

Originální název

Accuracy and Word Width in TKSL

Anglický název

Accuracy and Word Width in TKSL

Druh

Stať ve sborníku mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

differential equation, Taylor series, TKSL, word width

Klíčová slova v angličtině

differential equation, Taylor series, TKSL, word width

Autoři

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

Rok RIV

2010

Vydáno

08.09.2008

Nakladatel

IEEE Computer Society

Místo

Liverpool

ISBN

978-0-7695-3325-4

Kniha

Second UKSIM European Symposium on Computer Modeling and Simulation

Strany od

153

Strany do

158

Strany počet

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"
}