We illustrate both these approaches through the approximations of uncoded and coded packet error rates in various fading channel models.
We also demonstrate the use of such projective integrators in a shooting boundary value problem formulation for the computation of "coarse limit cycles" of the macroscopic behavior, and the approximation of their stability through estimates of the leading "coarse Floquet multipliers".
French and Peterson [3, 8] and Bales and Lasiecka [9] also studied the approximation of the wave equation through the STCG method.
The Grünwald-Letnikov formulation is frequently adopted in numerical algorithms because it inspires a discrete-time calculation algorithm, based on the approximation of the time increment through the sampling period.
The main purpose of this paper is to study the approximation of T ∗ ( y 0 ) through T h ∗ ( P h y 0 ).
Approximating the discrete spectral distances through the Taylor approximation of the filter map, the proposed computation is independent of the evaluation of the Laplacian spectrum, bypasses the computational and storage limits of previous work, which requires the selection of a specific subset of eigenpairs, and guarantees a higher approximation accuracy and a lower computational cost.
Third, we use shift operation instead of multiplication through the truncated approximation of the weight function.
Maximizing Q with respect to the shape parameters λ η and λ θ is more involved, as Q depends on these parameters only through the discrete approximation of the rate variability distributions (3).
It was done through the following approximation of plurisubharmonic functions: Let (varphi ) be plurisubharmonic in a bounded pseudoconvex (Omega ) in (mathbb C^n).
This is like building a personalized cost function empirically, through the empirical approximation of its stochastic somatosensory gradient.
