Laplace-Fourier Transform of the Stretched Exponential Function: Analytic Error Bounds, Double Exponential Transform, and Open-Source Implementation "libkww"

@article{Wuttke2012LaplaceFourierTO,
  title={Laplace-Fourier Transform of the Stretched Exponential Function: Analytic Error Bounds, Double Exponential Transform, and Open-Source Implementation "libkww"},
  author={J. Wuttke},
  journal={Algorithms},
  year={2012},
  volume={5},
  pages={604-628}
}
  • J. Wuttke
  • Published 2012
  • Computer Science, Mathematics, Physics
  • Algorithms
  • The C library libkww provides functions to compute the Kohlrausch-Williams- Watts function, i.e., the Laplace-Fourier transform of the stretched (or compressed) exponential function exp( t ) for exponents 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-Mori double exponential transformation. The primitive of the cosine… CONTINUE READING

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