Sentence examples for errors of the scheme from inspiring English sources

The phase errors of the scheme are very small, approximately as small as those of the 2-D quasi-stabilized FEM method and substantially smaller than those of alternatives in 3-D, assuming the same number of gridpoints per wavelength is used.

As exposed in Figure 15, which corresponds to 5 MHz pre-correlation bandwidth, the running average errors of the scheme based on our proposed WFs decrease toward small values from a delay which is greater than approximately 150 m with respect to the LOS.

We analyze the stability and truncation errors of the schemes.

Depending on the numerical method, time step and grid spacing, the numerical simulation may lead to (a) the correct solution (within the truncation error of the scheme), (b) a divergent solution, (c) a wrong propagation speed of discontinuities solution or (d) other spurious solutions that are solutions of the discretized counterparts but are not solutions of the governing equations.

The error of the scheme is measured in the discrete maximum norm.

Therefore, a linear combination of the two methods can reduce the dispersive error of the scheme.

A second evaluation ψ n + 1 = ψ n + Δ t ∑ i = 1 N − 1 b ∗ i k i accurate at order N − 1, which uses an other ponderation { b ∗ i }, i = 1, 2, …, N. The difference between these two evaluations gives an estimate of the approximation error of the scheme: ϵ = Δ t ∑ i = 1 N − 1 ( b i − b ∗ i ) k i. (30).

Figure 4a depicts the CFR surface estimation error given by the proposed EKF scheme and Figure 4b depicts the estimation errors of the LS scheme, where the improvement of CFR estimation in the proposed scheme can be seen clearly and the mean square error (MSE) of the EKF is 0.066 and that of the LS is 0.09.

The strategy is based on equidistributing the local truncation errors of the numerical scheme.

Meanwhile, for any given BER, the bit error resilience of the scheme is guaranteed well by further exploiting the added redundancy in AMDC.

Stability, convergence, and priori error estimate of the scheme are proved using energy method.