Publication Details
Extremely Exact Solutions of Large Systems of Differential Equations
Melkes František, Prof. RNDr., CSc. (DMATH FEECS BUT)
TKSL/C, differential equations, Taylor series
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.
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.
@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"
}