Detail publikačního výsledku

Methodology of the Taylor Series Based Computations

DROZDOVÁ, M.; KOPŘIVA, J.; KUNOVSKÝ, J.; PINDRYČ, M.

Originální název

Methodology of the Taylor Series Based Computations

Anglický název

Methodology of the Taylor Series Based Computations

Druh

Stať ve sborníku mimo WoS a Scopus

Originální abstrakt

In this paper an outline is presented of historical and current developments in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. The principal idea of an extremely accurate and fast method for numerical solutions of ordinary differential equations is presented in the paper.
In general Taylor series are not included or not even mentioned in surveys on numerical integration techniques as the programs were written by mathematicians with the main objective of demonstrating the feasibility of the concept and with the goal of providing integration algorithms of very high accuracy. For this reason the programs should be looked upon as a stimulus for writing more advanced software employing Taylor series better able to compete with programs using other methods. An attempt in this direction is TKSL [8], a program the results of which will be dealt with.

Anglický abstrakt

In this paper an outline is presented of historical and current developments in the application of recurrent Taylor series to the integration of systems of ordinary differential equations. The principal idea of an extremely accurate and fast method for numerical solutions of ordinary differential equations is presented in the paper.
In general Taylor series are not included or not even mentioned in surveys on numerical integration techniques as the programs were written by mathematicians with the main objective of demonstrating the feasibility of the concept and with the goal of providing integration algorithms of very high accuracy. For this reason the programs should be looked upon as a stimulus for writing more advanced software employing Taylor series better able to compete with programs using other methods. An attempt in this direction is TKSL [8], a program the results of which will be dealt with.

Klíčová slova

ordinary differential equations, TKSL, Taylor series method, Fourier analysis

Klíčová slova v angličtině

ordinary differential equations, TKSL, Taylor series method, Fourier analysis

Autoři

DROZDOVÁ, M.; KOPŘIVA, J.; KUNOVSKÝ, J.; PINDRYČ, M.

Rok RIV

2010

Vydáno

25.05.2009

Nakladatel

IEEE Computer Society

Místo

Bandung/Bali

ISBN

978-0-7695-3648-4

Kniha

Proceedings of Third Asia International Conference on Modelling and Simulation

Strany od

206

Strany do

211

Strany počet

6

Plný text v Digitální knihovně

http://hdl.handle.net/

BibTex

@inproceedings{BUT30213,
  author="Martina {Drozdová} and Jan {Kopřiva} and Jiří {Kunovský} and Milan {Pindryč}",
  title="Methodology of the Taylor Series Based Computations",
  booktitle="Proceedings of Third Asia International Conference on Modelling and Simulation",
  year="2009",
  pages="206--211",
  publisher="IEEE Computer Society",
  address="Bandung/Bali",
  isbn="978-0-7695-3648-4"
}