IMAL 13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
A combined wavelet-spectral regularization method for linear ill-posed problems
Autor/es:
ACOSTA, MARÍA FLORENCIA
Lugar:
Valdivia
Reunión:
Encuentro; II Encuentro de mujeres matemáticas de América Latina; 2018
Institución organizadora:
Universidad Austral de Chile
Resumen:
A two-step wavelet-spectral method for regularizing linear ill-posed problems is presented. A wavelet expansion followed by thresholding constitutes the first step while the second step consists of the application of a classical spectral regularization method which satisfies certain conditions. Orders of convergence are obtained and it is shown that, under certain hypotheses, the two-step method is optimal. Finally, numerical results are presented for the case of an integral operator.
