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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F02%3APU30199" target="_blank" >RIV/00216305:26220/02:PU30199 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Numerical Inversion of Two-Dimensional Laplace Transforms Based on FFT and Quotient-Difference Algorithm.
Original language description
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 arisiing 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.
Czech name
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Czech description
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Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of The International Conference on Fundamentals of Electronics, Communications and Computer Sciences ICFS?2002
ISBN
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ISSN
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e-ISSN
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Number of pages
6
Pages from-to
15-20
Publisher name
The Institute of Electronics, Information and Communication Engineers, Tokyo, Japan
Place of publication
Waseda University, Tokyo, Japan
Event location
Tokyo
Event date
Mar 27, 2002
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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