Speaker
Luisa Fermo
(University of Cagliari)
Description
We introduce the anti-Gauss cubature rule for approximating integrals defined on the square whose integrand function may have algebraic singularities at the boundaries. An application of such a rule to the numerical solution of Fredholm integral equations of the second-kind is also explored. The stability, convergence, and conditioning of the proposed Nystr\"om-type method are studied. The numerical solution of the resulting dense linear system is also investigated and several numerical tests are presented.
Primary authors
Patricia Diaz de Alba
(University of Salerno)
Luisa Fermo
(University of Cagliari)
Giuseppe Rodriguez
(Universita' di Cagliari)
