Detail publikačního výsledku

Improved Method of Numerical Inversion of Two-Dimensional Laplace Transforms for Dynamical Systems Simulation.

BRANČÍK, L.

Originální název

Improved Method of Numerical Inversion of Two-Dimensional Laplace Transforms for Dynamical Systems Simulation.

Anglický název

Improved Method of Numerical Inversion of Two-Dimensional Laplace Transforms for Dynamical Systems Simulation.

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. It is often either too difficult or even impossible to obtain their originals analytically, however. The paper presents a novel way of the 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 the e-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 e-algorithm. This leads to an improvement in the numerical stability of the method while the accuracy is approximatelly the same.

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. It is often either too difficult or even impossible to obtain their originals analytically, however. The paper presents a novel way of the 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 the e-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 e-algorithm. This leads to an 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, dynamical system simulation, Matlab language

Klíčová slova v angličtině

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

Autoři

BRANČÍK, L.

Rok RIV

2011

Vydáno

15.09.2002

Nakladatel

Zagreb University of Technology

Místo

Dubrovnik, Croatia

ISBN

0-7803-7596-3

Kniha

Proceedings of The 9th IEEE International Conference on Electronics, Circuits and Systems

Strany od

385

Strany do

388

Strany počet

4

BibTex

@inproceedings{BUT5165,
  author="Lubomír {Brančík}",
  title="Improved Method of Numerical Inversion of Two-Dimensional Laplace Transforms for Dynamical Systems Simulation.",
  booktitle="Proceedings of The 9th IEEE International Conference on Electronics, Circuits and Systems",
  year="2002",
  number="1.",
  pages="385--388",
  publisher="Zagreb University of Technology",
  address="Dubrovnik, Croatia",
  isbn="0-7803-7596-3"
}