Table A5.

For the optimal FMM approximating the relaxation modulus (43) of the material described by the BSW spectrum (42): the elements ${\alpha }_N^{\ast }$, ${\beta }_N^{\ast }$, $G_{eN}^{\ast }$ and ${\tau }_{rN}^{\ast }$ of the parameter vector ${\mathit{g}}_N^{\ast }$, the mean-square identification indices $Q_N\left({\mathit{g}}_N^{\ast }\right)$, Equation (24), the mean relative square model approximation index $Q_{Nrel}\left({\mathit{g}}_N^{\ast }\right)$, Equation (38), the sampling points-independent integral indices $Q\left({\mathit{g}}_N^{\ast }\right)$ defined by the optimization task (26), and the relative errors $ERR$ (37) of the parameter ${\mathit{g}}^{\ast }$ for $N$ measurements corrupted by the noises with standard deviation $\sigma =6 \left[\mathrm{k}\mathrm{P}\mathrm{a}\right]$.

$\mathit{N}$	${\mathit{Q}}_{\mathit{N}}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right) \left[{\mathbf{M}\mathbf{P}\mathbf{a}}^2\right]$	${\mathit{Q}}_{\mathit{N}\mathit{r}\mathit{e}\mathit{l}}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right)\left[\mathbf{-}\right]$	$\mathit{Q}\left({\mathit{g}}_{\mathit{N}}^{\ast }\right) \left[{\mathbf{M}\mathbf{P}\mathbf{a}}^2\right]$	$\mathit{E}\mathit{R}\mathit{R} [\mathbf{\%}]$	${\mathit{\alpha }}_{\mathit{N}}^{\ast }\left[-\right]$	${\mathit{\beta }}_{\mathit{N}}^{\ast }\left[-\right]$	${\mathit{G}}_{\mathit{e}\mathit{N}}^{\ast } \left[\mathbf{M}\mathbf{P}\mathbf{a}\right]$	${\mathit{\tau }}_{\mathit{r}\mathit{N}}^{\ast }\left[\mathbf{s}\right]$
50	5.334837 × 10−5	1.607199 × 10−6	5.383509 × 10−5	1.783	0.691583	7.062629 × 10−2	1.352647	5.543339 × 103
100	4.625811 × 10−5	1.912785 × 10−6	5.226179 × 10−5	4.853	0.652363	6.407151 × 10−2	1.421237	4.988252 × 103
200	4.104462 × 10−5	6.4067158 × 10−8	6.964808 × 10−5	7.841	0.632293	5.905374 × 10−2	1.467987	4.606199 × 103
500	3.664178 × 10−5	7.819189 × 10−8	3.074233 × 10−5	1.039	0.681071	7.285674 × 10−2	1.342891	5.745449 × 103
1000	3.879589 × 10−5	6.729167 × 10−8	2.961505 × 10−5	0.869	0.689812	7.328929 × 10−2	1.333233	5.801105 × 103
2000	3.618881 × 10−5	1.385717 × 10−9	3.604767 × 10−5	1.786	0.675299	6.992477 × 10−2	1.362099	5.542684 × 103
5000	5.999448 × 10−5	3.264396 × 10−8	2.456599 × 10−5	8.109 × 10−2	0.752093	8.335898 × 10−2	1.242558	6.579817 × 103
7000	6.106792	5.065819 × 10−9	2.598612 × 10−5	0.195	0.763258	8.506666 × 10−2	1.229229	6.680137 × 103
10,000	6.592012 × 10−5	1.717204 × 10−9	2.536338 × 10−5	0.144	0.759401	8.444666 × 10−2	1.234044	6.640191 × 103
12,000	5.916358 × 10−5	2.831521 × 10−9	2.384641 × 10−5	5.855 × 10−4	0.737150	8.077941 × 10−2	1.264056	6.382156 × 103
15,000	5.893401 × 10−5	1.984301 × 10−10	2.384002 × 10−5	2.644 × 10−4	0.738283	8.108685 × 10−2	1.261701	6.408038 × 103