Publication detail

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

KUNOVSKÝ, J., MELKES, F.

Original Title

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

Type

conference paper

Language

English

Original 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.

Keywords

TKSL/C, differential equations, Taylor series

Authors

KUNOVSKÝ, J., MELKES, F.

RIV year

2001

Released

1. 1. 2001

Publisher

Faculty of Electrical Engineering

Location

Praha

ISBN

1-56555-225-3

Book

Proceedings of the 15th European Simulation Multiconference ESM'2001

Pages from

19

Pages to

24

Pages count

6

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",
  address="Praha",
  isbn="1-56555-225-3"
}