Detail publikace

Automatic Method Order Settings

Originální název

Automatic Method Order Settings

Anglický název

Automatic Method Order Settings

Jazyk

en

Originální abstrakt

Methods of numerical solutions of differential equations have been studied since the end of the last century. A large number of integration formulas have been published especially for solving special systems of differential equations. In general, it was not possible to choose the best method but for a subclass of tasks defined by similar properties the most suitable method could always be found. The presented "Modern Taylor Series Method" has proved to be both very accurate and fast. It is based on a direct use of the Taylor series. 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.

Anglický abstrakt

Methods of numerical solutions of differential equations have been studied since the end of the last century. A large number of integration formulas have been published especially for solving special systems of differential equations. In general, it was not possible to choose the best method but for a subclass of tasks defined by similar properties the most suitable method could always be found. The presented "Modern Taylor Series Method" has proved to be both very accurate and fast. It is based on a direct use of the Taylor series. 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.

BibTex


@inproceedings{BUT33778,
  author="Jiří {Kunovský} and Václav {Šátek} and Michal {Kraus} and Jan {Kopřiva}",
  title="Automatic Method Order Settings",
  annote="Methods of numerical solutions of differential equations have been studied since
the end of the last century. A large number of integration formulas have been
published especially for solving special systems of differential equations. In
general, it was not possible to choose the best method but for a subclass of
tasks defined by similar properties the most suitable method could always be
found.
The presented "Modern Taylor Series Method" has proved to be both very accurate
and fast. It is based on a direct use of the Taylor series.
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.",
  address="IEEE Computer Society",
  booktitle="Proceedings of Eleventh International Conference on Computer Modelling and Simulation",
  chapter="33778",
  edition="NEUVEDEN",
  howpublished="print",
  institution="IEEE Computer Society",
  year="2009",
  month="march",
  pages="117--122",
  publisher="IEEE Computer Society",
  type="conference paper"
}