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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
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" }