Nevertheless, provided one does use a sufficiently small value of fDM, one can obtain third-order accuracy through Richardson extrapolation.
Gegenbauer reconstruction must therefore be constrained to use a sufficiently small ratio of order m to truncation N.
In order to restrain the discretization errors with respect to time step τ, we use a sufficiently small time step τ = 10 − 3. Numerical experiments are carried out with the use of piecewise linear ( P 1 ) approximations on five consecutive uniformly refined meshes having 125, 250, 500, 1,000 and 2,000 elements.
Step :Compute according to (16) and the corresponding power change by using (17) and a sufficiently small.
Using trigonometric equations for a sufficiently small Δ, (6) becomes P_{i}^{e} ; = ; - (r_{i} cdot overline{nabla } )[B_{i} (r_{i} cdot overline{nabla } )delta ]Delta ; + ;G_{i} [(r_{i} cdot overline{nabla } )delta ]^{2} Delta ; + ;o(Delta^{3} ) (9).
Since ρ(P + Q) < 1 and, then, by Lemma 2.1, there exists a positive vector z ∈ Ω ρ (P + Q) such that (E - (P + Q z > 0. Using continuity, there must be a sufficiently small constant λ > 0 such that, i.e., inequality (6) has at least one positive solution λ ≤ λ1.
Nevertheless, in systems with the packet format proposed in this paper, we have numerically found that since the preamble allows a very good estimate of CFO, to track the residual CFO, in the PLL, one may use a loop filter with a sufficiently small gain for suppression of the noisy component of.
For the MC moves to perform this function they must use a sufficiently high temperature to overcome small barriers but a low enough temperature to avoid mitigating the effectiveness of the minimization moves.
for a sufficiently small ε.
where δ is a sufficiently small constant.
