Detail publikačního výsledku

Novel FFT-Based Method for Numerical Inversion of Two-Dimensional Laplace Transforms.

BRANČÍK, L.

Originální název

Novel FFT-Based Method for Numerical Inversion of Two-Dimensional Laplace Transforms.

Anglický název

Novel FFT-Based Method for Numerical Inversion of Two-Dimensional Laplace Transforms.

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

The paper presents a new way of numerical inversion of two-dimensional Laplace transforms (2D-NILT). The method comes out the previous works where the 2D-NILT techniques based on the FFT and epsilon-algorithm was elaborated. Here, however, quotient-difference algorithm of Rutishauser is used to accelerate the convergence of a two-dimensional complex Fourier series instead of the epsilon-algorithm. This approach leads to the improvement in the numerical stability of the method while the accuracy is approximatelly the same.

Anglický abstrakt

The paper presents a new way of numerical inversion of two-dimensional Laplace transforms (2D-NILT). The method comes out the previous works where the 2D-NILT techniques based on the FFT and epsilon-algorithm was elaborated. Here, however, quotient-difference algorithm of Rutishauser is used to accelerate the convergence of a two-dimensional complex Fourier series instead of the epsilon-algorithm. This approach leads to the improvement in the numerical stability of the method while the accuracy is approximatelly the same.

Klíčová slova

Two-dimensional Laplace transform, numerical inversion, FFT, quotient-difference algorithm, Matlab language

Klíčová slova v angličtině

Two-dimensional Laplace transform, numerical inversion, FFT, quotient-difference algorithm, Matlab language

Autoři

BRANČÍK, L.

Rok RIV

2011

Vydáno

22.05.2002

Nakladatel

Institute of Theoretical and Industrial Electrical Engineering of Silesian University of Technology

Místo

Gliwice-Ustroň, Poland

ISBN

83-85940-24-3

Kniha

Proceedings of 25th International Conference on Fundamentals of Electrotechnics and Circuit Theory IC-SPETO 2002

Strany od

199

Strany počet

4

BibTex

@inproceedings{BUT5162,
  author="Lubomír {Brančík}",
  title="Novel FFT-Based Method for Numerical Inversion of Two-Dimensional Laplace Transforms.",
  booktitle="Proceedings of 25th International Conference on Fundamentals of Electrotechnics and Circuit Theory IC-SPETO 2002",
  year="2002",
  number="1.",
  pages="4",
  publisher="Institute of Theoretical and Industrial Electrical Engineering of Silesian University of Technology",
  address="Gliwice-Ustroň, Poland",
  isbn="83-85940-24-3"
}