Publication detail

Taylorian initial problem

KUNOVSKÝ, J. KRAUS, M. ŠÁTEK, V.

Original Title

Taylorian initial problem

Type

article in a collection out of WoS and Scopus

Language

English

Original Abstract

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.

Keywords

ordinary differential equations, Taylor series, TKSL, MTSM

Authors

KUNOVSKÝ, J.; KRAUS, M.; ŠÁTEK, V.

RIV year

2009

Released

11. 2. 2009

Publisher

ARGE Simulation News

Location

Vienna

ISBN

978-3-901608-35-3

Book

Proceedings MATHMOD 09 Vienna - Full Papers CD Volume

Pages from

1181

Pages to

1186

Pages count

6

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"
}