Detail publikačního výsledku

Automatic Method Order Settings

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

Original Title

Automatic Method Order Settings

English Title

Automatic Method Order Settings

Type

Paper in proceedings (conference paper)

Original Abstract

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.

English abstract

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.

Keywords

TKSL, ordinary differential equations, Taylor series method

Key words in English

TKSL, ordinary differential equations, Taylor series method

Authors

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

RIV year

2010

Released

24.03.2009

Publisher

IEEE Computer Society

Location

Cambridge

ISBN

978-0-7695-3593-7

Book

Proceedings of Eleventh International Conference on Computer Modelling and Simulation

Pages from

117

Pages to

122

Pages count

6

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@inproceedings{BUT33778,
  author="Jiří {Kunovský} and Václav {Šátek} and Michal {Kraus} and Jan {Kopřiva}",
  title="Automatic Method Order Settings",
  booktitle="Proceedings of Eleventh International Conference on Computer Modelling and Simulation",
  year="2009",
  pages="117--122",
  publisher="IEEE Computer Society",
  address="Cambridge",
  isbn="978-0-7695-3593-7"
}