In this work we develop the Gaussian quadrature rule for weight functions involving fractional powers, exponentials and Bessel functions of the first kind. Besides the computation based on the use of the standard and the modied Chebyshev algorithm, here we present a very stable algorithm based on the preconditioning of the moment matrix. Numerical experiments are provided and a geophysical application is considered.
Gaussian rule for integrals involving Bessel functions
Eleonora Denich
;Paolo Novati
2023-01-01
Abstract
In this work we develop the Gaussian quadrature rule for weight functions involving fractional powers, exponentials and Bessel functions of the first kind. Besides the computation based on the use of the standard and the modied Chebyshev algorithm, here we present a very stable algorithm based on the preconditioning of the moment matrix. Numerical experiments are provided and a geophysical application is considered.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
GaussianBessel.pdf post print.pdf
Open Access dal 15/11/2023
Tipologia:
Bozza finale post-referaggio (post-print)
Licenza:
Digital Rights Management non definito
Dimensione
356.28 kB
Formato
Adobe PDF
|
356.28 kB | Adobe PDF | Visualizza/Apri |
|
s10543-023-00997-5.pdf
accesso aperto
Tipologia:
Documento in Versione Editoriale
Licenza:
Creative commons
Dimensione
515.27 kB
Formato
Adobe PDF
|
515.27 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
