Mopsik, F.
(1999),
A Fast Method of Transforming Relaxation Functions Into the Frequency Domain, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD
(Accessed June 2, 2023)
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A Fast Method of Transforming Relaxation Functions Into the Frequency Domain
Published
Author(s)
Abstract
The limits to the error due to truncation of the numeric integration of the onesided Laplace transform of a relaxation function in the time domain into its equivalent frequency domain are established. Separate results are given for large and small . These results show that, for a given , only a restricted range of time samples is needed to perform the computation to a given accuracy. These results are then combined with a known error estimate for integration by cubic splines to give a good estimate for the number of points needed to perform the computation to a given accuracy. For a given data window between t1 and t2, the computation time is shown to be proportional to ln(t1/t2).Citation
Journal of Research (NIST JRES) -
Volume
104 No. 2
NIST Pub Series
Pub Type
NIST Pubs
Keywords
cubic spline, error estimate, Laplace transform, numeric integration, numeric transform, relaxation function, time domain
Citation
Created January 1, 1999, Updated February 17, 2017