Stability of qualocation methods for elliptic boundary integral equations (Q1425608)

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scientific article; zbMATH DE number 2059937
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Stability of qualocation methods for elliptic boundary integral equations
scientific article; zbMATH DE number 2059937

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    Stability of qualocation methods for elliptic boundary integral equations (English)
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    17 March 2004
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    The author is concerned with the numerical stability of qualocation methods (quadrature modified collocation methods) for elliptic boundary integral equations. He extends some results of \textit{I. H. Sloan} and \textit{W. Wendland} [Numer. Math. 79, No. 3, 451--483 (1998; Zbl 0908.65104)] and formulates a conjecture which is supported by numerical experiments.
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    uniform ellipticity
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    quadrature rules
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    stability functions
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    collocation methods
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    elliptic boundary integral equations
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    numerical experiments
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