1,721,007 research outputs found
Remarks on two integral operators and numerical methods for CSIE
Full text linkIn this paper the author extends the mapping properties of some singular integral operators in Zygmund spaces equipped with uniform norm. As by-product quadrature methods for solving CSIE having index and are proposed. Their stability and convergence are proved and error estimates in Zygmund norm are given. Some numerical tests are also shown
An Algorithm for the Evaluation of Two-Dimensional Hilbert Transform with non-standard Weight Functions
No full textRemarks on two integral operators and numerical methods for Cauchy singular integral equations
No full textNystrom Method for Fredholm integral equations on bounded integrals via orthogonal polynomials
No full textQuadrature rules for high-oscillatory and periodic functions and some applications to integral equations
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A modified Nystrom method for integral equations with Mellin type kernels
No full textThe aim of this paper is to propose a new modified Nyström method for the approximation of the solutions of second kind integral equations with fixed singularities of Mellin convolution type. The stability and the convergence are proved in L^2 spaces and error estimates in L^2 norm are given. Finally, numerical tests showing the effectiveness of the method are presented
A quadrature method for systems of Cauchy Singular Integral Equations
No full textThis talk deals with the numerical treatment of systems of Cauchy Singular integral equations with constant coefficients.
A quadrature type method is proposed and its stability and convergence are proved in weighted spaces.
Moreover it is shown that the procedure leads to solve a determined and well conditioned linear system
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