Exact(8)
Efficient and highly accurate solutions are obtained with a small number of retained modes.
The results in this table show that with few numbers of retained modes we obtained a maximum pointwise error of order 10−8.
In the third step, by properly selecting the number of retained modes, the original time series can be approximated to a numerical model.
In Table 2, we list the maximum pointwise error E and the time elapsed τ for different values of M. The results in this table show that with few numbers of retained modes we obtained a reasonable accuracy 10−13.
Also, various definitions of the residual are briefly discussed, along with the number and distribution of snapshots, the number of retained modes, and the effect of CFD errors, to conclude that the method is numerically robust.
The choice of the number of retained modes is made after considering both the image reconstruction errors as well as the convergence of the effective material constitutive behavior obtained by numerical homogenization.
Similar(52)
If better superdirectivity is required to be obtained in practice, the maximum order of the retained mode-beams is unnecessarily selected to be large.
A free interface method is presented in this paper and six test cases are used to evaluate the number of retained substructure modes necessary to ensure convergence.
The accuracy of estimated loads is dependent on the placement of gages on the instrumented structure and the number of retained strain modes from strain modal analysis.
The results indicate that the proposed algorithm, though approximate, can yield very accurate information about dynamic behavior of large order non-linear systems, even with few numbers of retained component modes.
Although both are competent for intercellular transfer ex vivo, Eng2a and b, arising from a recent duplication, might have retained distinct modes of action (intracrine or paracrine), supported by the increased transcriptional activity of Eng2a.
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