Numerická inverze Laplaceova obrazu

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

Numerical Inversion of the Laplace Transform

Popis výsledku v původním jazyce

A survey of the most commonly used methods of the numerical inversion of Laplace transform is presented in this paper. Author focused his attention on the possibility of the numerical inversion in MATLAB, which provide engineers, scientists, mathematicians and educators with an environment for technical computing applications. There are currently no functions to perform the numerical inversion in MATLAB. Algorithms of the Weeks, and Dubner & Abate & Crump's methods were found on the Internet, and Stehfest's algorithm was written by the author. These methods were numerically tested. Since every method has its weak points, author recommends the simultaneous execution of few different methods and comparison the results. The conclusion following from the results is that the numerical inversion of the Laplace transform might be the precise and reliable method to calculate the original.

Název v anglickém jazyce

Numerical Inversion of the Laplace Transform

Popis výsledku anglicky

A survey of the most commonly used methods of the numerical inversion of Laplace transform is presented in this paper. Author focused his attention on the possibility of the numerical inversion in MATLAB, which provide engineers, scientists, mathematicians and educators with an environment for technical computing applications. There are currently no functions to perform the numerical inversion in MATLAB. Algorithms of the Weeks, and Dubner & Abate & Crump's methods were found on the Internet, and Stehfest's algorithm was written by the author. These methods were numerically tested. Since every method has its weak points, author recommends the simultaneous execution of few different methods and comparison the results. The conclusion following from the results is that the numerical inversion of the Laplace transform might be the precise and reliable method to calculate the original.

Druh

D - Stať ve sborníku

CEP obor

BC - Teorie a systémy řízení

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2004

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings the 6th International Scientific - Technical Conference Process Control 2004

ISBN

80-7194-662-1

ISSN

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e-ISSN

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Počet stran výsledku

21

Strana od-do

145

Název nakladatele

University of Pardubice

Místo vydání

Pardubice

Místo konání akce

Kouty nad desnou, Czech Republic

Datum konání akce

1. 1. 2004

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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