A Critical Evaluation and Modification of the Padé–Laplace Method for Deconvolution of Viscoelastic Spectra

A Critical Evaluation and Modification of the Padé–Laplace Method for Deconvolution of Viscoelastic Spectra

This paper shows that using the Padé–Laplace (PL) method for deconvolution of multi-exponential functions (stress relaxation of polymers) can produce ill-conditioned systems of equations. Analysis of different sets of generated data points from known multi-exponential functions indicates that by inc...

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Bibliographic Details
Main Authors: Siamak Shams Es-haghi, Douglas J. Gardner
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Molecules
Subjects:
viscoelasticity
rheology
stress relaxation
Padé approximant
Toeplitz matrix
condition number
Online Access:https://www.mdpi.com/1420-3049/26/16/4838

Internet

https://www.mdpi.com/1420-3049/26/16/4838

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