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Optimization of direct methods for the approximate solution of weakly singular integral equations

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Abstract

For a class of weakly singular integral equations with power and logarithmic singularities, we establish the optimal order of the error of direct methods and indicate the procedure which realizes this order.

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Authors and Affiliations

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

    A. N. Urumbaev

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  1. A. N. Urumbaev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1246–1254, September, 1994.

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Urumbaev, A.N. Optimization of direct methods for the approximate solution of weakly singular integral equations. Ukr Math J 46, 1369–1378 (1994). https://doi.org/10.1007/BF01059427

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  • DOI: https://doi.org/10.1007/BF01059427

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