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BRANČÍK, L.
Original Title
Numerical Inversion of Two-Dimensional Laplace Transforms Based on FFT and Quotient-Difference Algorithm.
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. 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.
Keywords
two-dimensional Laplace transform, numerical inversion, FFT, quotient-difference algorithm, Matlab language
Authors
RIV year
2002
Released
27. 3. 2002
Publisher
The Institute of Electronics, Information and Communication Engineers, Tokyo, Japan
Location
Waseda University, Tokyo, Japan
Pages from
15
Pages to
20
Pages count
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" }