Detail publikace

Taylorian initial problem

Originální název

Taylorian initial problem

Anglický název

Taylorian initial problem

Jazyk

en

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.

BibTex


@inproceedings{BUT30198,
  author="Jiří {Kunovský} and Michal {Kraus} and Václav {Šátek}",
  title="Taylorian initial problem",
  annote="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.",
  address="ARGE Simulation News",
  booktitle="Proceedings MATHMOD 09 Vienna - Full Papers CD Volume",
  chapter="30198",
  edition="NEUVEDEN",
  howpublished="print",
  institution="ARGE Simulation News",
  year="2009",
  month="february",
  pages="1181--1186",
  publisher="ARGE Simulation News",
  type="conference paper"
}