Qualocation methods for elliptic boundary integral equations (Q1128222)

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scientific article; zbMATH DE number 1187550
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Qualocation methods for elliptic boundary integral equations
scientific article; zbMATH DE number 1187550

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    Qualocation methods for elliptic boundary integral equations (English)
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    4 March 1999
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    The authors discuss a class of singular integral equations on the unit circle in the complex plane. The numerical method is a combination of collocation with a quadrature rule. Error bounds are obtained, and example calculations are given. The analysis is based on Fourier series. The results extend earlier work of \textit{G. A. Chandler} and \textit{I. H. Sloan} [Numer. Math. 58, No. 5, 537-567 (1990; Zbl 0694.65068)].
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    singular integral equation
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    collocation
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    qualocation methods
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    elliptic boundary integral equations
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    pseudodifferential equations
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    error bounds
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