Publication Details

Extremely Exact Solutions of Large Systems of Differential Equations

KUNOVSKÝ Jiří and MELKES František. Extremely Exact Solutions of Large Systems of Differential Equations (invited paper). In: Proceedings of the 15th European Simulation Multiconference ESM'2001. Praha: Faculty of Electrical Engineering, Czech Technical University, 2001, pp. 19-24. ISBN 1-56555-225-3.
Type
conference paper
Language
english
Authors
Kunovský Jiří, Doc. Ing., CSc. (DCSE FEECS BUT)
Melkes František, Prof. RNDr., CSc. (DMATH FEECS BUT)
Keywords

TKSL/C, differential equations, Taylor series

Abstract

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.

Annotation

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.

Published
2001
Pages
19-24
Proceedings
Proceedings of the 15th European Simulation Multiconference ESM'2001
Conference
European Simulation Multiconference , Prague, CZ
ISBN
1-56555-225-3
Publisher
Faculty of Electrical Engineering, Czech Technical University
Place
Praha, CZ
BibTeX
@INPROCEEDINGS{FITPUB6722,
   author = "Ji\v{r}\'{i} Kunovsk\'{y} and Franti\v{s}ek Melkes",
   title = "Extremely Exact Solutions of Large Systems of Differential Equations",
   pages = "19--24",
   booktitle = "Proceedings of the 15th European Simulation Multiconference ESM'2001",
   year = 2001,
   location = "Praha, CZ",
   publisher = "Faculty of Electrical Engineering, Czech Technical University",
   ISBN = "1-56555-225-3",
   language = "english",
   url = "https://www.fit.vut.cz/research/publication/6722"
}
Back to top