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Quasiwidths and optimization of methods of mixed approximation of multidimensional singular integrals with kernels of hilbert type

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Abstract

We consider the problem of application of mixed methods to the construction of algorithms, optimal in accuracy, for the calculation of multidimensional singular integrals with Hilbert-type kernels. We propose a method for the optimization of cubature formulas for singular integrals with Hilbert-type kernels based on the theory of quasiwidths.

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Authors and Affiliations

  1. Institute of Geotechnical Mechanics, Ukrainian Academy of Sciences, Dnepropetrovsk

    S. B. Vakarchuk

  2. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    M. Sh. Shabozov

Authors
  1. S. B. Vakarchuk
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  2. M. Sh. Shabozov
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Vakarchuk, S.B., Shabozov, M.S. Quasiwidths and optimization of methods of mixed approximation of multidimensional singular integrals with kernels of hilbert type. Ukr Math J 48, 846–865 (1996). https://doi.org/10.1007/BF02384171

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  • DOI: https://doi.org/10.1007/BF02384171

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