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Numerical Solution of Differential Equations with Random Parameters

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F71226401%3A_____%2F15%3A%231006723" target="_blank" >RIV/71226401:_____/15:#1006723 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.vspj.cz/tvurci-cinnost-a-projekty/casopisy-vspj/logos-polytechnikos" target="_blank" >https://www.vspj.cz/tvurci-cinnost-a-projekty/casopisy-vspj/logos-polytechnikos</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Numerical Solution of Differential Equations with Random Parameters

  • Original language description

    Numerical methods for the solution of differential equations with randomly distributed parameters provide uncertainty quantification of the approximate solution. One of such methods is the stochastic Galerkin method, which uses the weak form of the equation and yields a projection of the exact solution onto an appropriate finite dimensional function space. Since the computational cost of the solution of related systems of linear equations may be high, some preconditioning techniques are used. In this paper we study a block structure of the corresponding matrices, and introduce some new characteristics of their spectra, namely, the number of unit eigenvalues.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>ost</sub> - Miscellaneous article in a specialist periodical

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    LOGOS POLYTECHNIKOS

  • ISSN

    1804-3682

  • e-ISSN

  • Volume of the periodical

    6

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    10

  • Pages from-to

    117-126

  • UT code for WoS article

  • EID of the result in the Scopus database