In this paper we consider a polynomial collocation method for the numerical solution of Cauchy singular integral equations with fixed singularities over the interval, where the fixed singularities are supposed to be of Mellin convolution type. For the stability and convergence of this method in weighted L2 spaces, we derive necessary and sufficient conditions
We consider Mellin convolution equations with additional Cauchy kernel in weighted Lebesgue and Lebe...
AbstractThe paper presents a selection of modern results concerning the numerical analysis of one-di...
AbstractCauchy singular integral equations on an interval are studied in weighted spaces of continuo...
In this paper we consider a polynomial collocation method for the numerical solution of Cauchy singu...
This paper is concerned with the stability of collocation methods for Cauchy singular integral equat...
We consider a collocation method for Cauchy singular integral equations on the interval based on wei...
We consider a finite section (Galerkin) and a collocation method for Cauchy singular integral equati...
We consider a polynomial collocation for the numerical solution of a second kind integral equation w...
In this paper we propose a quadrature method for the numerical solution of Cauchy singular integral ...
AbstractThe convergence and stability of a discrete collocation method for Cauchy singular integral ...
The dissertation consists of two parts. In the first part approximate methods for multidimensional w...
AbstractThe classical collocation method for Cauchy-type singular integral equations of the second k...
AbstractThe application of a collocation method with respect to the Chebyshev nodes of second kind t...
AbstractA collocation method for a first-kind integral equation with a hypersingular kernel on an in...
This thesis investigates the polynomial collocation method for the numerical solution of Cauchy type...
We consider Mellin convolution equations with additional Cauchy kernel in weighted Lebesgue and Lebe...
AbstractThe paper presents a selection of modern results concerning the numerical analysis of one-di...
AbstractCauchy singular integral equations on an interval are studied in weighted spaces of continuo...
In this paper we consider a polynomial collocation method for the numerical solution of Cauchy singu...
This paper is concerned with the stability of collocation methods for Cauchy singular integral equat...
We consider a collocation method for Cauchy singular integral equations on the interval based on wei...
We consider a finite section (Galerkin) and a collocation method for Cauchy singular integral equati...
We consider a polynomial collocation for the numerical solution of a second kind integral equation w...
In this paper we propose a quadrature method for the numerical solution of Cauchy singular integral ...
AbstractThe convergence and stability of a discrete collocation method for Cauchy singular integral ...
The dissertation consists of two parts. In the first part approximate methods for multidimensional w...
AbstractThe classical collocation method for Cauchy-type singular integral equations of the second k...
AbstractThe application of a collocation method with respect to the Chebyshev nodes of second kind t...
AbstractA collocation method for a first-kind integral equation with a hypersingular kernel on an in...
This thesis investigates the polynomial collocation method for the numerical solution of Cauchy type...
We consider Mellin convolution equations with additional Cauchy kernel in weighted Lebesgue and Lebe...
AbstractThe paper presents a selection of modern results concerning the numerical analysis of one-di...
AbstractCauchy singular integral equations on an interval are studied in weighted spaces of continuo...
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