An official website of the United States government
Here’s how you know
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
A Fast Method of Transforming Relaxation Functions Into the Frequency Domain
Published
Author(s)
F I. Mopsik
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).
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)