In the recent years considerable attention has been focused on the numerical computation of the eigenvalues and eigenfunctions of the nite (truncated) Hankel transform, important for numerous applications. However, due to the very special behavior of the Hankel transform eigenfunctions, their direct numerical calculation often causes an essential loss of accuracy. Here, we discuss several simple, e cient and robust numerical techniques to compute Hankel transform eigenfunctions via the associated singular self-adjoint Sturm-Liouville operator. The properties of the proposed approaches are compared and illustrated by means of numerical experiments.
On the Calculation of the Finite Hankel Transform Eigenfunctions
AMODIO, Pierluigi;SETTANNI, GIUSEPPINA;
2011-01-01
Abstract
In the recent years considerable attention has been focused on the numerical computation of the eigenvalues and eigenfunctions of the nite (truncated) Hankel transform, important for numerous applications. However, due to the very special behavior of the Hankel transform eigenfunctions, their direct numerical calculation often causes an essential loss of accuracy. Here, we discuss several simple, e cient and robust numerical techniques to compute Hankel transform eigenfunctions via the associated singular self-adjoint Sturm-Liouville operator. The properties of the proposed approaches are compared and illustrated by means of numerical experiments.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
