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Integrating composed singularities using nonuniform subdivision and extrapolation (Q1964095)

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scientific article; zbMATH DE number 1398812
Language Label Description Also known as
English
Integrating composed singularities using nonuniform subdivision and extrapolation
scientific article; zbMATH DE number 1398812

    Statements

    title
    Integrating composed singularities using nonuniform subdivision and extrapolation (English)
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    author
    Kristoffer Singstad
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    Terje O. Espelid
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    publication date
    19 July 2000
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    review text
    The authors consider the problem of computation of the numerical value of multidimensional integrals of functions which have a singularity on the boundary of the domain of integration. They provide error estimates for the case where the domain of integration has been discretized and provide a globally adaptive cubature algorithm. Discussions of the stability problem are given and the results of some calculations are analyzed.
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    zbMATH Keywords
    nonuniform subdivision
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    extrapolation
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    singular integrals
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    homogeneous functions
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    multidimensional integrals
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    error estimates
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    adaptive cubature algorithm
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    stability
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    describes a project that uses
    DCUHRE
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    DECUHR
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    Identifiers

    Mathematics Subject Classification ID
    65D32
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    41A55
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    41A63
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    zbMATH DE Number
    1398812
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