Detail publikace

Automatic Method Order Settings

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

Originální název

Automatic Method Order Settings

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

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.

Klíčová slova

TKSL, ordinary differential equations, Taylor series method

Autoři

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

Rok RIV

2009

Vydáno

24. 3. 2009

Nakladatel

IEEE Computer Society

Místo

Cambridge

ISBN

978-0-7695-3593-7

Kniha

Proceedings of Eleventh International Conference on Computer Modelling and Simulation

Strany od

117

Strany do

122

Strany počet

6

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"
}