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math.NA2024
Approximation of the Hilbert Transform on the unit circle
Luisa Fermo, Valerio Loi
The paper deals with the numerical approximation of the Hilbert transform on the unit circle using Szegö and anti-Szegö quadrature formulas. These schemes exhibit maximum precision…
math.NA2024
A global approximation method for second-kind nonlinear integral equations
Luisa Fermo, Anna Lucia Laguardia, Concetta Laurita +1
A global approximation method of Nyström type is explored for the numerical solution of a class of nonlinear integral equations of the second kind. The cases of smooth and weakly s…