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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" }