Convergence Problems and Optimal Parameter Estimation in FFT-based Method of Numerical Inversion of Two-Dimensional Laplace Transforms

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Convergence Problems and Optimal Parameter Estimation in FFT-based Method of Numerical Inversion of Two-Dimensional Laplace Transforms

Popis výsledku v původním jazyce

When solving certain partial differential equations, namely those describing transient behaviour of linear dynamical systems, Laplace transforms in two variables can very be useful. However, it is often either too difficult or impossible to get their objects by analytic method. There were developed a few methods that enable finding the objects numerically. One of them is the FFT-based method recently published and verified using Matlab language. Its main advantage lies in high speed of computation, however, a proper technique of convergence acceleration has to be applied to achieve required accuracy. It was shown either the epsilon or quotient-difference algorithms are convenient for this purpose. In this paper the error analysis and the estimation ofoptimal parameters for the FFT-based 2D-NILT in conjunction with quotient-difference algorithm are newly carried out.

Název v anglickém jazyce

Convergence Problems and Optimal Parameter Estimation in FFT-based Method of Numerical Inversion of Two-Dimensional Laplace Transforms

Popis výsledku anglicky

When solving certain partial differential equations, namely those describing transient behaviour of linear dynamical systems, Laplace transforms in two variables can very be useful. However, it is often either too difficult or impossible to get their objects by analytic method. There were developed a few methods that enable finding the objects numerically. One of them is the FFT-based method recently published and verified using Matlab language. Its main advantage lies in high speed of computation, however, a proper technique of convergence acceleration has to be applied to achieve required accuracy. It was shown either the epsilon or quotient-difference algorithms are convenient for this purpose. In this paper the error analysis and the estimation ofoptimal parameters for the FFT-based 2D-NILT in conjunction with quotient-difference algorithm are newly carried out.

Druh

D - Stať ve sborníku

CEP obor

JA - Elektronika a optoelektronika, elektrotechnika

OECD FORD obor

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Projekt

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Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2004

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

The 47th IEEE International Midwest Symposium on Circuits and Systems

ISBN

0-7803-8346-X

ISSN

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e-ISSN

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Počet stran výsledku

4

Strana od-do

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Název nakladatele

NEUVEDEN

Místo vydání

Hiroshima

Místo konání akce

Hiroshima

Datum konání akce

25. 7. 2004

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000225098300029