The first method, based on the Fenton-Wilkinson approach [11], approximates a sum of log-normal random variables as a log-normal random variable and approximates fast fading coefficients in interference terms by their average value.
The first one based on the Fenton-Wilkinson approach, approximates a sum of log-normal random variables by a log-normal random variable and approximates fast fading coefficients in interference terms by their average value.
This method relies on approximating the fast dynamics by its quasi-stationary measure and averaging the slow evolution with respect to this measure.
A combination of adaptive grids for approximation of the distribution function and an approximate fast Fourier transform on non-uniform grids for computing smooth terms in the Boltzmann collision integral is used.
However, distance vector is obtained by utilizing the approximate fast solution of the LLC coding method which inherently induces information loss.
There exists plenty of generalizations of these approaches, which aim to construct a slow and (almost) invariant manifold, and to approximate fast motion as well.
The need for two Theis models that conceptually approximate fast and slow aquifer responses can be anticipated where complex hydrogeology occurs.
In the limit as ε → 0 of system (6), we derive the layer problem, which approximates the fast components ( v, m, h, n ) of the full system dynamics: δ v ˙ = f 1 ( v, m, h, n, w, s ), δ m ˙ = f 2 ( v, m ), h ˙ = f 3 ( v, h ), n ˙ = f 4 ( v, n ), w ˙ = 0, s ˙ = 0, (7).
Pancreatic insulin-clamp studies (1 mU/kg/min), approximating the basal fasting state with circulating insulin levels around 1.4 ng/ml, or euglycemic-hyperinsulinemic clamps (3 mU/kg/min), corresponding to the post-prandial state with circulating insulin levels around 4.5 ng/ml, were performed in conscious, unrestrained, catheterized rats for the last 120 min as described previously [19], [22].
This type of approximating functions has a faster rate of convergence as compared to the polynomial co-ordinate functions.
