Publication detail

Taylor Series And Stiff System Detection

KUNOVSKÝ, J., TOMICA, P., HOLUB, O.

Original Title

Taylor Series And Stiff System Detection

English Title

Taylor Series And Stiff System Detection

Type

conference paper

Language

en

Original Abstract

An original numerical method for solving systems of ordinal differential equations - Modern Taylor Series Method (MTSM) - has been created at FIT VUT Brno. The metod uses a variable number of terms of Taylor series that has a positive inffuence on speed and accurancy of computation MTSM uses only basic  arithmetic operations and it is easily parallelable in different degrees of  parallelization. It is the aim of this paper to evaluate the possibilities of  the stiff systems being solved by the Modern Taylor Series Method.

English abstract

An original numerical method for solving systems of ordinal differential equations - Modern Taylor Series Method (MTSM) - has been created at FIT VUT Brno. The metod uses a variable number of terms of Taylor series that has a positive inffuence on speed and accurancy of computation MTSM uses only basic  arithmetic operations and it is easily parallelable in different degrees of  parallelization. It is the aim of this paper to evaluate the possibilities of  the stiff systems being solved by the Modern Taylor Series Method.

Keywords

Modern Taylor series method, TKSL, stiff system detection

RIV year

2005

Released

04.02.2005

Publisher

Slovak University of Technology in Bratislava

Location

Bratislava

ISBN

80-969264-2-X

Book

Proceedings from the 4-th International conference Aplimat 2005

Edition

Part II

Pages from

75

Pages to

80

Pages count

5

Documents

BibTex


@inproceedings{BUT21450,
  author="Jiří {Kunovský} and Petr {Tomica} and Ondřej {Holub}",
  title="Taylor Series And Stiff System Detection",
  annote="An original numerical method for solving systems of ordinal
differential equations - Modern Taylor Series Method (MTSM) - has been
created at FIT VUT Brno. The metod uses a variable number of terms of
Taylor series that has a positive inffuence on speed and accurancy of
computation MTSM uses only basic  arithmetic operations and it is
easily parallelable in different degrees of  parallelization. It
is the aim of this paper to evaluate the possibilities of  the
stiff systems being solved by the Modern Taylor Series Method.",
  address="Slovak University of Technology in Bratislava",
  booktitle="Proceedings from the 4-th International conference Aplimat 2005",
  chapter="21450",
  edition="Part II",
  institution="Slovak University of Technology in Bratislava",
  year="2005",
  month="february",
  pages="75--80",
  publisher="Slovak University of Technology in Bratislava",
  type="conference paper"
}