Detail publikačního výsledku

Taylorian initial problem

KUNOVSKÝ, J.; KRAUS, M.; ŠÁTEK, V.

Originální název

Taylorian initial problem

Anglický název

Taylorian initial problem

Druh

Stať ve sborníku mimo WoS a Scopus

Originální abstrakt

In recent years, intensive research in the field of numerical solutions of systems of ordinary
and partial differential equations has been done at the Brno University of Technology, Faculty of
Information Technology, Department of Intelligent Systems. The basic numerical method employed
is the so-called Modern Taylor Series Method (MTSM). It has been described, studied, and numerous
aspects have been investigated such as processing in parallel systems. Also a simulation system TKSL
has been developed which is based on the Taylor series method.  Although
there have been considerable practical results, theoretical issues are yet to be investigated. A theoretical
background of the method, some succesful results, some comparisons to word standards and idea of
parallel processing will be provided in this paper.

Anglický abstrakt

In recent years, intensive research in the field of numerical solutions of systems of ordinary
and partial differential equations has been done at the Brno University of Technology, Faculty of
Information Technology, Department of Intelligent Systems. The basic numerical method employed
is the so-called Modern Taylor Series Method (MTSM). It has been described, studied, and numerous
aspects have been investigated such as processing in parallel systems. Also a simulation system TKSL
has been developed which is based on the Taylor series method.  Although
there have been considerable practical results, theoretical issues are yet to be investigated. A theoretical
background of the method, some succesful results, some comparisons to word standards and idea of
parallel processing will be provided in this paper.

Klíčová slova

ordinary differential equations, Taylor series, TKSL, MTSM

Klíčová slova v angličtině

ordinary differential equations, Taylor series, TKSL, MTSM

Autoři

KUNOVSKÝ, J.; KRAUS, M.; ŠÁTEK, V.

Rok RIV

2010

Vydáno

11.02.2009

Nakladatel

ARGE Simulation News

Místo

Vienna

ISBN

978-3-901608-35-3

Kniha

Proceedings MATHMOD 09 Vienna - Full Papers CD Volume

Strany od

1181

Strany do

1186

Strany počet

6

Plný text v Digitální knihovně

http://hdl.handle.net/

BibTex

@inproceedings{BUT30198,
  author="Jiří {Kunovský} and Michal {Kraus} and Václav {Šátek}",
  title="Taylorian initial problem",
  booktitle="Proceedings MATHMOD 09 Vienna - Full Papers CD Volume",
  year="2009",
  pages="1181--1186",
  publisher="ARGE Simulation News",
  address="Vienna",
  isbn="978-3-901608-35-3"
}