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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, номер 3, страницы 83–91
(Mi basm209)
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Research articles
Approximate solution of the Dirichlet problem in a circle
Alexander Kouleshoff Mechanics and Mathematics Faculty, Belarussian State University,
Minsk, Belarus
Аннотация:
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.
Ключевые слова и фразы:
Dirichlet problem, rational functions, trigonometric problem of moments, orthonormalized polynomials, rational approximation.
Поступила в редакцию: 12.11.2003
Образец цитирования:
Alexander Kouleshoff, “Approximate solution of the Dirichlet problem in a circle”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 3, 83–91
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/basm209 https://www.mathnet.ru/rus/basm/y2003/i3/p83
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