Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6929220 | Journal of Computational Physics | 2018 | 10 Pages |
Abstract
A new algorithm for numerical evaluation of spherical Bessel transform is proposed in this paper. In this method, the spherical Bessel function is approximately represented as an exponential sum with complex parameters. This is obtained by expressing an integral representation of spherical Bessel function in complex plane, and discretizing contour integrals along steepest descent paths and a contour path parallel to real axis using numerical quadrature rule with the double-exponential transformation. The number of terms in the expression is reduced using the modified balanced truncation method. The residual part of integrand is also expanded by exponential functions using Prony-like method. The spherical Bessel transform can be evaluated analytically on arbitrary points in half-open interval.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Hidekazu Ikeno,