1,721,108 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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Simulazione della distribuzione di molecole di interesse biotecnologico nei trattamenti termici: risultati preliminari
No full textA 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
Numerical solution of systems of Cauchy singular integral equations with constant coefficients
No full textThis paper deals with the numerical solution of a class of systems of Cauchy singular integral equations with constant coefficients. The proposed procedure consists of two basic steps: the first one is to consider a modified problem equivalent to the original one under suitable conditions, the second one is to approximate its solution by means of a vector of polynomial functions. Such array is constructed by applying a quadrature type method,
based on Gaussian rules, that leads to solve a determined and well conditioned linear system.
The convergence and stability of the method are proved in weighted L2 spaces. Some numerical tests are also shown
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