Reduced Hilbert transforms are obtained by restricting the domain of integration to a subset of R. In the case of the real positive semiaxis we show stability and convergenge of a suitable Nystrom method to solve the corresponding singular integral equation.
Numerical solution of singular integral equations arising from reduced Hilbert transform / Criscuolo, Giuliana. - (2020). (Intervento presentato al convegno Functional Analysis, Approximation Theory and Numerical Analysis (FAANA) tenutosi a Matera (Italy) nel July 7-10-2020 - Due to the covid-19 crisis the conference has been postponed to 2022).
Numerical solution of singular integral equations arising from reduced Hilbert transform
Criscuolo Giuliana
2020
Abstract
Reduced Hilbert transforms are obtained by restricting the domain of integration to a subset of R. In the case of the real positive semiaxis we show stability and convergenge of a suitable Nystrom method to solve the corresponding singular integral equation.File in questo prodotto:
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