Publication detail

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

BRANČÍK, L.

Original Title

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

Type

conference paper

Language

English

Original Abstract

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.

Keywords

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

Authors

BRANČÍK, L.

RIV year

2002

Released

15. 9. 2002

Publisher

Zagreb University of Technology

Location

Dubrovnik, Croatia

ISBN

0-7803-7596-3

Book

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

Edition number

1.

Pages from

385

Pages to

388

Pages count

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"
}