Detail publikačního výsledku

Numerical Inversion of 3D Laplace Transforms for Weakly Nonlinear Systems Solution

BRANČÍK, L.

Originální název

Numerical Inversion of 3D Laplace Transforms for Weakly Nonlinear Systems Solution

Anglický název

Numerical Inversion of 3D Laplace Transforms for Weakly Nonlinear Systems Solution

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

The paper deals with a technique for numerical inversion of three-dimensional Laplace transforms (3D NILT) being based on the FFT & IFFT in conjunction with the quotient-difference algorithm. This method generalizes 2D NILT technique developed formerly to three variables. Especially an error analysis has resulted in a new formula equating a relative error of the method to paths of the integration of triple Bromwich integral. To evaluate triple infinite sums obtained by numerical integration, the partial inversion technique is used. The method was algorithmized in Matlab language environment and applied for solving a response of a weakly nonlinear circuit via Volterra series expansion to demonstrate its practical usefulness.

Anglický abstrakt

The paper deals with a technique for numerical inversion of three-dimensional Laplace transforms (3D NILT) being based on the FFT & IFFT in conjunction with the quotient-difference algorithm. This method generalizes 2D NILT technique developed formerly to three variables. Especially an error analysis has resulted in a new formula equating a relative error of the method to paths of the integration of triple Bromwich integral. To evaluate triple infinite sums obtained by numerical integration, the partial inversion technique is used. The method was algorithmized in Matlab language environment and applied for solving a response of a weakly nonlinear circuit via Volterra series expansion to demonstrate its practical usefulness.

Klíčová slova

Numerical inversion, three-dimensional Laplace transform, weakly nonlinear system, Volterra series.

Klíčová slova v angličtině

Numerical inversion, three-dimensional Laplace transform, weakly nonlinear system, Volterra series.

Autoři

BRANČÍK, L.

Rok RIV

2011

Vydáno

19.04.2010

Nakladatel

Brno University of Technology

Místo

Brno, Czech Republic

ISBN

978-1-4244-6319-0

Kniha

Proceedings of 20th International Conference RADIOELEKTRONIKA 2010

Strany od

221

Strany do

224

Strany počet

4

URL

http://www.radio.feec.vutbr.cz/radioelektronika/

BibTex

@inproceedings{BUT29366,
  author="Lubomír {Brančík}",
  title="Numerical Inversion of 3D Laplace Transforms for Weakly Nonlinear Systems Solution",
  booktitle="Proceedings of 20th International Conference RADIOELEKTRONIKA 2010",
  year="2010",
  pages="221--224",
  publisher="Brno University of Technology",
  address="Brno, Czech Republic",
  isbn="978-1-4244-6319-0",
  url="http://www.radio.feec.vutbr.cz/radioelektronika/"
}