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Comparison of two possible approaches to inverse laplace transform applied to wave problems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F12%3A00377657" target="_blank" >RIV/61388998:_____/12:00377657 - isvavai.cz</a>

  • Alternative codes found

    RIV/49777513:23520/12:43915103

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Comparison of two possible approaches to inverse laplace transform applied to wave problems

  • Original language description

    This paper concerns the investigation of non-stationary wave phenomena in a thin elastic disc under radial impact by means of analytical methods. When the method of integral transforms is used for solving the system of PDEs describing a wave problem solved, one has to overcome the problem of inverse transform. This work focuses on two possible approaches to the inverse Laplace transform. Using the existing analytical solution of the problem, the classic method making use of the residue theorem and the method based on the numerical inverse Laplace transform are compared. Advantages and disadvantages of both approaches, mainly from computational point of view, are discussed and demonstrated.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BI - Acoustics and oscillation

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP101%2F12%2F2315" target="_blank" >GAP101/12/2315: Modelling of acoustic wave propagation in strongly heterogeneous media; multi-scale numerical and analytical approaches</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Engineering Mechanics 2012

  • ISBN

    978-80-86246-40-6

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    25-32

  • Publisher name

    ITAM AS CR, v. v. i.

  • Place of publication

    Prague

  • Event location

    Svratka

  • Event date

    May 14, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article