Detail publikace

Accuracy and Word Width in TKSL

Originální název

Accuracy and Word Width in TKSL

Anglický název

Accuracy and Word Width in TKSL

Jazyk

en

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.

BibTex


@inproceedings{BUT32114,
  author="Jiří {Kunovský} and Michal {Kraus} and Václav {Šátek} and Vlastimil {Kaluža}",
  title="Accuracy and Word Width in TKSL",
  annote="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.",
  address="IEEE Computer Society",
  booktitle="Second UKSIM European Symposium on Computer Modeling and Simulation",
  chapter="32114",
  edition="NEUVEDEN",
  howpublished="print",
  institution="IEEE Computer Society",
  year="2008",
  month="september",
  pages="153--158",
  publisher="IEEE Computer Society",
  type="conference paper"
}