Approximate solution of the Dirichlet problem in a circle
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KOULESHOFF, Alexandr. Approximate solution of the Dirichlet problem in a circle. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 3(43), pp. 83-91. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(43) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322

Approximate solution of the Dirichlet problem in a circle

Pag. 83-91

Kouleshoff Alexandr
 
Institute of Mathematics and Computer Science ASM
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

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.

Cuvinte-cheie
Dirichlet problem,

rational functions, trigonometric problem of moments, orthonormalized polynomials, rational approximation.