Detail publikačního výsledku

Comparison of TKSL to world standards

KUNOVSKÝ, J.; ŠÁTEK, V.; KRAUS, M.; PINDRYČ, M.

Original Title

Comparison of TKSL to world standards

English Title

Comparison of TKSL to world standards

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

An original mathematical method which uses the Taylor series method forsolving differential equations in a nontraditional way has beendeveloped and implemented in the Taylor Kunovsky Simulation Language(TKSL). Even though this method is not much preferred in theliterature, experimental calculations have shown and theoreticalanalyses have verified that the accuracy and stability of the Taylorseries method exceed that of the currently used algorithms fornumerically solving differential equations. It is the aim of the paperto compare TKSL to world standards (i.e., MATLAB, Maple and Mathematicasoftware).

English abstract

An original mathematical method which uses the Taylor series method forsolving differential equations in a nontraditional way has beendeveloped and implemented in the Taylor Kunovsky Simulation Language(TKSL). Even though this method is not much preferred in theliterature, experimental calculations have shown and theoreticalanalyses have verified that the accuracy and stability of the Taylorseries method exceed that of the currently used algorithms fornumerically solving differential equations. It is the aim of the paperto compare TKSL to world standards (i.e., MATLAB, Maple and Mathematicasoftware).

Keywords

TKSL; MATLAB; Maple; Wolfram Mathematica; differential equetions

Key words in English

TKSL; MATLAB; Maple; Wolfram Mathematica; differential equetions

Authors

KUNOVSKÝ, J.; ŠÁTEK, V.; KRAUS, M.; PINDRYČ, M.

RIV year

2010

Released

11.04.2009

ISBN

1741-8569

Periodical

International Journal of Autonomic Computing

Volume

1

Number

2

State

United Kingdom of Great Britain and Northern Ireland

Pages from

182

Pages to

191

Pages count

10

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@article{BUT49311,
  author="Jiří {Kunovský} and Václav {Šátek} and Michal {Kraus} and Milan {Pindryč}",
  title="Comparison of TKSL to world standards",
  journal="International Journal of Autonomic Computing",
  year="2009",
  volume="1",
  number="2",
  pages="182--191",
  issn="1741-8569"
}