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ЖУРНАЛЫ // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Архив

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, номер 3, страницы 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

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.

MSC: 30C80

Поступила в редакцию: 12.11.2003

Язык публикации: английский



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