Detail publikace

Elaboration of FFT-based 2D-NILT Methods in Terms of Accuracy and Numerical Stability

BRANČÍK, L.

Originální název

Elaboration of FFT-based 2D-NILT Methods in Terms of Accuracy and Numerical Stability

Typ

článek v časopise - ostatní, Jost

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 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 estimation of the optimal 2D-NILT parameters are newly presented.

Klíčová slova

two-dimensional Laplace transform, numerical inversion, FFT, epsilon algorithm, quotient-difference algorithm

Autoři

BRANČÍK, L.

Rok RIV

2005

Vydáno

1. 2. 2005

Nakladatel

SIGMA-NOT

ISSN

0033-2097

Periodikum

Przeglad Elektrotechniczny

Ročník

LXXXI

Číslo

2

Stát

Polská republika

Strany od

84

Strany do

89

Strany počet

6

BibTex

@article{BUT42759,
  author="Lubomír {Brančík}",
  title="Elaboration of FFT-based 2D-NILT Methods in Terms of Accuracy and Numerical Stability",
  journal="Przeglad Elektrotechniczny",
  year="2005",
  volume="LXXXI",
  number="2",
  pages="6",
  issn="0033-2097"
}