Complexity-optimal algorithms for the approximate solution of singular integral equations (Q2703912)

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Complexity-optimal algorithms for the approximate solution of singular integral equations
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    3 October 2001
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    optimal numerical method
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    weakly singular integral equations
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    singular integral equations
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    algorithms
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    Complexity-optimal algorithms for the approximate solution of singular integral equations (English)
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    The author estimates the number of arithmetic operations necessary for the numerical solution of one- and multi-dimensional second kind weakly singular integral equations and of one-dimensional singular integral equations. For these classes of integral equations he proposes algorithms that are optimal with respect to the order of complexity. No numerical example is considered.
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