## A collocation scheme for a certain Cauchy singular integral equation based on the superconvergence analysis

- Dongjie Liu, Xiaoping Zhang, Jiming Wu
- Applied Mathematics and Computation
- 2013

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@article{Bonis2012NumericalSO, title={Numerical solution of systems of Cauchy singular integral equations with constant coefficients}, author={Maria Carmela De Bonis and Concetta Laurita}, journal={Applied Mathematics and Computation}, year={2012}, volume={219}, pages={1391-1410} }

- Published in Applied Mathematics and Computation 2012
DOI:10.1016/j.amc.2012.08.022

This 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… CONTINUE READING