Detail publikace

Convergence Acceleration and Optimal Parameter Estimation at FFT-based 2D-NILT Method

BRANČÍK, L.

Originální název

Convergence Acceleration and Optimal Parameter Estimation at FFT-based 2D-NILT Method

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

Laplace transforms in two variables can very be useful for solving certain partial differential equations, namely those describing transient behaviour of linear dynamical systems. In practice, it is often either too difficult or even impossible to obtain corresponding originals by analytic methods. In such cases methods that enable getting original numerically have to be applied. The 2D-NILT method based on FFT, recently published and verified in Matlab language, seems to be well usable. Its main advantage lies in high speed of calculation, however, it is necessary to connect it always with proper technique of acceleration of the convergence to achieve required accuracy. It was shown either the epsilon or the quotient-difference algorithms are very suitable for this purpose. In the paper an error analysis, comparison and evaluation of the optimal NILT parameters are newly presented.

Klíčová slova

Convergence acceleration, Two-dimensional Laplace transform, Numerical inversion, epsilon-algorithm, quotient-difference algorithm

Autoři

BRANČÍK, L.

Rok RIV

2004

Vydáno

1. 9. 2004

Místo

Zakopane

ISBN

83-916444-4-8

Kniha

Proceedings of VI. International Workshop "Computational Problems of Electrical Engineering"

Strany od

173

Strany do

176

Strany počet

4

URL

http://www.iem.pw.edu.pl/cpee/CD/

BibTex

@inproceedings{BUT11497,
  author="Lubomír {Brančík}",
  title="Convergence Acceleration and Optimal Parameter Estimation at FFT-based 2D-NILT Method",
  booktitle="Proceedings of VI. International Workshop {"}Computational Problems of Electrical Engineering{"}",
  year="2004",
  pages="4",
  address="Zakopane",
  isbn="83-916444-4-8",
  url="http://www.iem.pw.edu.pl/cpee/CD/"
}