Sentence examples for error of the scheme from inspiring English sources

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).

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.

The uniform convergence of the difference scheme is investigated and error of the difference scheme is evaluated in Sect.

First, for the space-discretized edge finite element Maxwell equations, the dispersion error of this scheme is analyzed in detail and compared to that of two conventional schemes.

Stability and convergence of the difference scheme are investigated in Section 4 and error of the difference scheme is evaluated in Section 5.

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.