C-accuracy is the accuracy of the total contigs, which is designed to evaluate the accuracy of all assembled contigs totally and defined as C-accuracy = 1 − (L error/ L total); L total represents the total number of all contigs including repeats and nonrepeats and L error is the sum of all error contigs.
The results of L w L 2, L w L ∞, and H w L 1 errors of (48) subject to the second type of boundary conditions is given in Table 5.
L ∞, RMS, and L 2 errors are calculated for each equation with particular values of arbitrary constants, which are small and negligible.
Finally, in Section 5, absolute, root mean square (RMS), and L ∞ errors are calculated.
In Tables 1 and 2, we compare l ∞ errors using the proposed method, at N = M = 5 with different choices of ν, △x, α, β and △t, and that obtained by Sousa [31].
Only the latest L w errors (boldsymbol {epsilon }_{L_{w}}(n) = [epsilon (n-L_{w}+1),ldots,epsilon (n)]^{T}) are utilized to estimate the system performance, where L w is the free-parameter window length.
However, pure theoretical parameter L2/3 is statistically indistinguishable from L (see errors of correlation in Table 2).
and the L ∞ error norm L ∞ = U exact − U N ∞ ≃ max j U j exact − U N j.
Accuracy and efficiency of the method are demonstrated by computing the numerical conserved laws and L2, L ∞ error norms.
More precisely, we establish the following optimal L ∞ error estimates: ∥ u α − u α h ∥ ∞ ≤ C h 2 | ln h | 2 (1.9).
