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Taylor Series Expansion for Functions of Correlated Random Variables

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F21%3APU139140" target="_blank" >RIV/00216305:26110/21:PU139140 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Taylor Series Expansion for Functions of Correlated Random Variables

  • Original language description

    Semi-probabilistic approach in combination with non-linear finite element method is employed more frequently nowadays for design and assessment of structures. In that case, it is crucial to estimate statistical moments of structural resistance assuming uncertain input variables. The task is the estimation of statistical moments of function of random variables solved by finite element method. One of the solutions is represented by Taylor series expansion, which can be further used for the derivation of specific differencing schemes. The paper is focused on derivation of accurate differencing schemes for functions of correlated random variables. It is numerically shown, that the proposed differencing schemes are more accurate in comparison to standard scheme in case of strong correlation.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

  • OECD FORD branch

    20102 - Construction engineering, Municipal and structural engineering

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2021

  • Confidentiality

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