Two Approaches to Derive Approximate Formulae of NILT Method with Generalization

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F15%3APU114245" target="_blank" >RIV/00216305:26220/15:PU114245 - isvavai.cz</a>
Result on the web
<a href="https://ieeexplore.ieee.org/document/7160256" target="_blank" >https://ieeexplore.ieee.org/document/7160256</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/MIPRO.2015.7160256" target="_blank" >10.1109/MIPRO.2015.7160256</a>

Result language
angličtina
Original language name
Two Approaches to Derive Approximate Formulae of NILT Method with Generalization
Original language description
The paper deals with relationship between two approaches to derive approximate formulae of one specific numerical inverse Laplace transform (NILT) method, which is based on the approximation of the exp(st) function in the definition Bromwich integral, and the method based on the direct numerical integration of this ILT integral. It is shown that respective approximate formulae can also be derived by integrating the Bromwich integral numerically provided the integration path and the step are properly chosen as time-dependent. The generalization of the NILT formulae is also suggested leading to possibility to predict a limiting absolute error. The experimental error analysis is performed in the Matlab program for properly chosen Laplace transforms, and modified usage of Euler transformation to accelerate convergence of infinite series is tested successfully.
Czech name
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Czech description
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of MIPRO 2015 - 38th International Convention
ISBN
978-953-233-083-0
ISSN
—
e-ISSN
—
Number of pages
6
Pages from-to
155-160
Publisher name
Croatian Society for Information and Communication Technology, Electronics and Microelectronics - MIPRO
Place of publication
Opatija, Croatia
Event location
Opatija
Event date
May 25, 2015
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000380405300024

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