Detail publikačního výsledku

Numerical Inversion of Two-Dimensional Laplace Transforms Based on FFT and Quotient-Difference Algorithm.

BRANČÍK, L.

Originální název

Numerical Inversion of Two-Dimensional Laplace Transforms Based on FFT and Quotient-Difference Algorithm.

Anglický název

Numerical Inversion of Two-Dimensional Laplace Transforms Based on FFT and Quotient-Difference Algorithm.

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

Laplace transforms in two variables can very be useful in the solution of partial differential equations describing transient behaviour of linear dynamical systems. However, it is often either too difficult or even impossible to obtain their originals analytically. The paper presents a new way of the numerical inversion of two-dimensional Laplace transforms (2D-NILT) based on the FFT and the quotient-difference algorithm of Rutishauser. In principle, infinite two-dimensional complex Fourier series arising in the approximate formula are partially evaluated using the FFT to ensure the high speed of computation. Then the quotient-difference algorithm is applied to accelerate the convergence of these series enabling to gain the required accuracy of results. The method has been programmed and verified using the universal language Matlab.

Anglický abstrakt

Laplace transforms in two variables can very be useful in the solution of partial differential equations describing transient behaviour of linear dynamical systems. However, it is often either too difficult or even impossible to obtain their originals analytically. The paper presents a new way of the numerical inversion of two-dimensional Laplace transforms (2D-NILT) based on the FFT and the quotient-difference algorithm of Rutishauser. In principle, infinite two-dimensional complex Fourier series arising in the approximate formula are partially evaluated using the FFT to ensure the high speed of computation. Then the quotient-difference algorithm is applied to accelerate the convergence of these series enabling to gain the required accuracy of results. The method has been programmed and verified using the universal language Matlab.

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

27.03.2002

Nakladatel

The Institute of Electronics, Information and Communication Engineers, Tokyo, Japan

Místo

Waseda University, Tokyo, Japan

Kniha

Proceedings of The International Conference on Fundamentals of Electronics, Communications and Computer Sciences ICFS 2002

Strany od

15

Strany počet

6

BibTex

@inproceedings{BUT4999,
  author="Lubomír {Brančík}",
  title="Numerical Inversion of Two-Dimensional Laplace Transforms Based on FFT and Quotient-Difference Algorithm.",
  booktitle="Proceedings of The International Conference on Fundamentals of Electronics, Communications and Computer Sciences ICFS 2002",
  year="2002",
  number="1.",
  pages="6",
  publisher="The Institute of Electronics, Information and Communication Engineers, Tokyo, Japan",
  address="Waseda University, Tokyo, Japan"
}