Table 4.

For the polymer described by the BSW spectrum (51): the square model error ${\mathit{\epsilon }}_N^T{\mathit{\epsilon }}_N$ (31), the smoothness index ${\mathcal{I}}_N^{\gamma }$ (32), and the noise robustness index ${\mathcal{Q}}_N^{\gamma }$ (38) for $N$ measurements of the relaxation modulus corrupted by additive independent noises selected according to uniform distribution from the interval $\left[-0.005, 0.005\right] \mathrm{M}\mathrm{P}\mathrm{a}$ and parameters $\gamma$ introduced in the modified Lagrange functional (25).

$\mathit{\gamma }$ $\left[{\mathit{s}}^{-1}\right]$	Index	$\mathit{N}=50$	$\mathit{N}=100$	$\mathit{N}=200$	$\mathit{N}=500$	$\mathit{N}=1000$
1 × 10−7	${\mathit{\epsilon }}_N^T{\mathit{\epsilon }}_N$ $\left[{\mathrm{M}\mathrm{P}\mathrm{a}}^2\right]$	4.50707 × 10−4	8.19820 × 10−4	1.65574 × 10−3	3.89542 × 10−3	7.93196 × 10−3
	${\mathcal{I}}_N^{\gamma }$ $\left[\mathrm{M}{\mathrm{P}\mathrm{a}}^2·\mathrm{s}\right]$	3.21654 × 103	3.24851 × 103	3.24718 × 103	3.23537 × 103	3.24043 × 103
	${\mathcal{Q}}_N^{\gamma }$ $\left[\mathrm{M}{\mathrm{P}\mathrm{a}}^2·\mathrm{s}\right]$	11.891956	11.219052	10.864104	8.652512	10.942303
5 × 10−7	${\mathit{\epsilon }}_N^T{\mathit{\epsilon }}_N$ $\left[{\mathrm{M}\mathrm{P}\mathrm{a}}^2\right]$	5.16852 × 10−4	8.57969 × 10−4	1.67497 × 10−3	3.90799 × 10−3	7.94415 × 10−3
	${\mathcal{I}}_N^{\gamma }$ $\left[\mathrm{M}{\mathrm{P}\mathrm{a}}^2·\mathrm{s}\right]$	3.15685 × 103	3.21397 × 103	3.22838 × 103	3.22318 × 103	3.22606 × 103
	${\mathcal{Q}}_N^{\gamma }$ $\left[\mathrm{M}{\mathrm{P}\mathrm{a}}^2·\mathrm{s}\right]$	2.175434	2.067436	2.0363525	2.006206	2.710421
1 × 10−6	${\mathit{\epsilon }}_N^T{\mathit{\epsilon }}_N$ $\left[{\mathrm{M}\mathrm{P}\mathrm{a}}^2\right]$	6.72858 × 10−4	9.49036 × 10−4	1.71894 × 10−3	3.93047 × 10−3	7.95659 × 10−3
	${\mathcal{I}}_N^{\gamma }$ $\left[\mathrm{M}{\mathrm{P}\mathrm{a}}^2·\mathrm{s}\right]$	3.10426 × 103	3.18335 × 103	3.213648 × 103	3.21555 × 103	3.22182 × 103
	${\mathcal{Q}}_N^{\gamma }$ $\left[\mathrm{M}{\mathrm{P}\mathrm{a}}^2·\mathrm{s}\right]$	1.076912	0.975302	0.944682	0.997097	1.417322
5 × 10−6	${\mathit{\epsilon }}_N^T{\mathit{\epsilon }}_N$ $\left[{\mathrm{M}\mathrm{P}\mathrm{a}}^2\right]$	3.81118 × 10−3	2.95039 × 10−3	2.87847 × 10−3	4.44269 × 10−3	8.24008 × 10−3
	${\mathcal{I}}_N^{\gamma }$ $\left[\mathrm{M}{\mathrm{P}\mathrm{a}}^2·\mathrm{s}\right]$	2.82672 × 103	3.00764 × 103	3.11432 × 103	3.17172 × 103	3.19764 × 103
	${\mathcal{Q}}_N^{\gamma }$ $\left[\mathrm{M}{\mathrm{P}\mathrm{a}}^2·\mathrm{s}\right]$	0.169205	0.230928	0.230358	0.204836	0.308728
1 × 10−5	${\mathit{\epsilon }}_N^T{\mathit{\epsilon }}_N$ $\left[{\mathrm{M}\mathrm{P}\mathrm{a}}^2\right]$	1.08157 × 10−2	7.46682 × 10−3	5.81259 × 10−3	5.84646 × 10−3	9.03681 × 10−3
	${\mathcal{I}}_N^{\gamma }$ $\left[\mathrm{M}{\mathrm{P}\mathrm{a}}^2·\mathrm{s}\right]$	2.58939 × 103	2.85463 × 103	3.01535 × 103	3.12462 × 103	3.17095 × 103
	${\mathcal{Q}}_N^{\gamma }$ $\left[\mathrm{M}{\mathrm{P}\mathrm{a}}^2·\mathrm{s}\right]$	0.078727	0.114988	0.140981	0.118423	0.169938