Laplace-Fourier transform of the stretched exponential function: analytic error bounds, double exponential transform, and open-source implementation ``libkww

DOI10.3390/a5040604zbMath1462.44001arXiv0911.4796OpenAlexW2112612564WikidataQ29397002 ScholiaQ29397002MaRDI QIDQ1736532

Joachim Wuttke

Publication date: 26 March 2019

Published in: Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4796

zbMATH Keywords

Laplace-Fourier transformstretched exponentialnumeric integration

Mathematics Subject Classification ID

Laplace transform (44A10) Numerical integration (65D30) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items (4)

An efficient series approximation for the Lévy \(\alpha\)-stable symmetric distribution ⋮ Conformable Laplace transform of fractional differential equations ⋮ Modelling of noise reduction in complex multistream jets ⋮ libkww

Uses Software

• DLMF
• GSL

Cites Work

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• Modelling the relaxation modulus of linear viscoelasticity using Kohlrausch functions
• On Lévy (or stable) distributions and the Williams-Watts model of dielectric relaxation
• The double exponential formula for oscillatory functions over the half infinite interval
• NIST digital library of mathematical functions
• A robust double exponential formula for Fourier-type integrals
• Discovery of the double exponential transformation and its developments
• The singularities of Cauchy's distributions
• Complex Dynamics of Glass-Forming Liquids
• A Simple "Filon-Trapezoidal" Rule
• The double-exponential transformation in numerical analysis

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