Collocation and Quadrature Methods for Solving Singular Integral Equations with Piecewise Continuous Coefficients
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CAPCELEA, Titu. Collocation and Quadrature Methods for Solving Singular Integral Equations with Piecewise Continuous Coefficients. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 3(52), pp. 27-44. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(52) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322

Collocation and Quadrature Methods for Solving Singular Integral Equations with Piecewise Continuous Coefficients

Pag. 27-44

Capcelea Titu
 
Moldova State University
 
 
Disponibil în IBN: 21 decembrie 2015


Rezumat

The computation schemes of collocation and mechanical quadrature methods for approximate solving of the complete singular integral equations with piecewise continuous coefficients and a regular kernel with weak singularity are elaborated. The case when the equations are defined on the unit circumference of the complex plane is examined. The sufficient conditions for the convergence of these methods in the space L2 are obtained

Cuvinte-cheie
Cauchy singular integral equations, piecewise continuous coefficients, quadrature method.,

collocation method