Detail publikace

Extremely Exact Solutions of Large Systems of Differential Equations (invited paper)

KUNOVSKÝ, J.; MELKES, F. Extremely Exact Solutions of Large Systems of Differential Equations (invited paper). Proceedings of the 15th European Simulation Multiconference ESM'2001. Praha: Faculty of Electrical Engineering, Czech Technical University, 2001. p. 19-24. ISBN: 1-56555-225-3.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Kunovský Jiří, doc. Ing., CSc.
Melkes František, prof. RNDr., CSc.
Klíčová slova

TKSL/C, differential equations, Taylor series

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.

Rok
2001
Strany
19–24
Sborník
Proceedings of the 15th European Simulation Multiconference ESM'2001
ISBN
1-56555-225-3
Vydavatel
Faculty of Electrical Engineering, Czech Technical University
Místo
Praha
BibTeX 
@inproceedings{BUT5592,
  author="Jiří {Kunovský} and František {Melkes}",
  title="Extremely Exact Solutions of Large Systems of Differential Equations (invited paper)",
  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"
}
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