Update of spherical Bessel transform: FFTW and OpenMP

Furthermore, the updated version uses the module concept to achieve a better control over the memory allocation/deallocation, which also contributes to the performance of the updated package. Title of program: SBT, version number 3 Catalogue Id: AANZ_v3_0 Nature of problem The Fourier transform of a spherically symmetric angular momentum eigen-function leads to the spherical Bessel transform of the corresponding radial function.

Radial functions are often given numerically, on a radial grid. Therefore, the direct computation of the spherical Bessel transform would require of order N arithmetical operations for each value of the transform variable, where N is the number of points on the radial grid. At large values of the transform variable, the rapid oscillation o ...

Versions of this program held in the CPC repository in Mendeley Data AANZ_v1_0; LSFBTR; 10.1016/0010-4655(83)90126-1 AANZ_v2_0; NumSBT; 10.1016/j.cpc.2008.10.003 AANZ_v3_0; SBT, version number 3; 10.1016/j.cpc.2010.08.024 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)