Two different direct methods are proposed to solve Cauchy singular integral equations on the real line. The aforementioned methods differ in order to be able to prove their convergence which depends on the smoothness of the known term function in the integral equation.

SOME CONSIDERATIONS ON NUMERICAL METHODS FOR CAUCHY SINGULAR INTEGRAL EQUATIONS ON THE REAL LINE

Capobianco, Maria Rosaria
Co-primo
;
2024

Abstract

Two different direct methods are proposed to solve Cauchy singular integral equations on the real line. The aforementioned methods differ in order to be able to prove their convergence which depends on the smoothness of the known term function in the integral equation.
2024
Istituto per le applicazioni del calcolo - IAC - Sede Secondaria Napoli
Hilbert transform, singular integral equation, Hermite weight
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/486221
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