%0 Journal Article
%T Laplace每Fourier Transform of the Stretched Exponential Function: Analytic Error Bounds, Double Exponential Transform, and Open-Source Implementation ※libkww§
%A Joachim Wuttke
%J Algorithms
%D 2012
%I MDPI AG
%R 10.3390/a5040604
%X The C library libkww provides functions to compute the Kohlrausch每Williams每 Watts function, i.e., the Laplace每Fourier transform of the stretched (or compressed) exponential function exp(- t 汕 ) for exponents 汕 between 0.1 and 1.9 with double precision. Analytic error bounds are derived for the low and high frequency series expansions. For intermediate frequencies, the numeric integration is enormously accelerated by using the Ooura每Mori double exponential transformation. The primitive of the cosine transform needed for the convolution integrals is also implemented. The software is hosted at http://apps.jcns.fz-juelich.de/kww; version 3.0 is deposited as supplementary material to this article.
%K stretched exponential
%K Laplace每Fourier transform
%K numeric integration
%U http://www.mdpi.com/1999-4893/5/4/604