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Ultima descărcare din IBN: 2023-07-16 21:45 |
SM ISO690:2012 CAPCELEA, Titu. Algoritm efectiv pentru rezolvarea ecuaţiilor integrale singulare. In: Studia Universitatis Moldaviae (Seria Ştiinţe Exacte şi Economice), 2007, nr. 2, pp. 17-22. ISSN 1857-2073. |
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Studia Universitatis Moldaviae (Seria Ştiinţe Exacte şi Economice) | ||||||
Numărul 2 / 2007 / ISSN 1857-2073 /ISSNe 2345-1033 | ||||||
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Pag. 17-22 | ||||||
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We present a fast algorithm with 2 O(n log n) computational complexity for the approximate solution of Cauchy
singular integral equations with smooth continuous coefficients, defined on the unit circle of the complex plane. In order to obtain this algorithm we adopt Amosov`s idea [1] to the quadrature method. In the case when the approximate
method is applicable [2], the solution n ϕ of the mentioned fast algorithm satisfies the same convergence rate as the
solution n ϕ∗ of the quadrature method. |
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