Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, Number 3, Pages 83–91 (Mi basm209)  
Research articles

Approximate solution of the Dirichlet problem in a circle

Alexander Kouleshoff

Mechanics and Mathematics Faculty, Belarussian State University, Minsk, Belarus
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Abstract: The approaches to the solution of Dirichlet problem in a unit radius circle are constructed in the manner of rational functions. There were found the estimates of approaches' inaccuracies. Assuming that the boundary condition is to be a measurable bounded function with the finite number of discontinuities. Constructions use the solution of trigonometric problem of moments.
Keywords and phrases: Dirichlet problem, rational functions, trigonometric problem of moments, orthonormalized polynomials, rational approximation.
Received: 12.11.2003
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Document Type: Article
MSC: 30C80
Language: English
Citation: Alexander Kouleshoff, “Approximate solution of the Dirichlet problem in a circle”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 3, 83–91
Citation in format AMSBIB
\Bibitem{Kou03}
\by Alexander~Kouleshoff
\paper Approximate solution of the Dirichlet problem in a~circle
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2003
\issue 3
\pages 83--91
\mathnet{http://mi.mathnet.ru/basm209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2053649}
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