Detail publikačního výsledku

Extremely Exact Solutions of Large Systems of Differential Equations

KUNOVSKÝ, J.; MELKES, F.

Originální název

Extremely Exact Solutions of Large Systems of Differential Equations

Anglický název

Extremely Exact Solutions of Large Systems of Differential Equations

Druh

Stať ve sborníku mimo WoS a Scopus

Originální abstrakt

A new version of the simulation language TKSL/C for extremely exact, stable, robust and fast numerical solutions of ordinary differential equations has been created. The algorithm of the solution is based on the Taylor series method. Positive properties of the method and some test examples of the Taylor series method are presented together with possible applications.In a natural way, the Taylor series method involves solutions of problems that can be reduced (transformed) into solving a system of differential equations. That is why large systems of linear algebraic equations, partial differential equations and roots of algebraic equations are delt with.

Anglický abstrakt

A new version of the simulation language TKSL/C for extremely exact, stable, robust and fast numerical solutions of ordinary differential equations has been created. The algorithm of the solution is based on the Taylor series method. Positive properties of the method and some test examples of the Taylor series method are presented together with possible applications.In a natural way, the Taylor series method involves solutions of problems that can be reduced (transformed) into solving a system of differential equations. That is why large systems of linear algebraic equations, partial differential equations and roots of algebraic equations are delt with.

Klíčová slova

TKSL/C, differential equations, Taylor series

Klíčová slova v angličtině

TKSL/C, differential equations, Taylor series

Autoři

KUNOVSKÝ, J.; MELKES, F.

Vydáno

01.01.2001

Nakladatel

Faculty of Electrical Engineering, Czech Technical University

Místo

Praha

ISBN

1-56555-225-3

Kniha

Proceedings of the 15th European Simulation Multiconference ESM'2001

Strany od

19

Strany do

24

Strany počet

6

BibTex

@inproceedings{BUT5592,
  author="Jiří {Kunovský} and František {Melkes}",
  title="Extremely Exact Solutions of Large Systems of Differential Equations",
  booktitle="Proceedings of the 15th European Simulation Multiconference ESM'2001",
  year="2001",
  pages="19--24",
  publisher="Faculty of Electrical Engineering, Czech Technical University",
  address="Praha",
  isbn="1-56555-225-3"
}