Alternatively, the integral in Equation (6) can be approximated at three time points t0, (t0 + t' /2 and t', instead of two.
The damage (D t ) of each cohesive element is approximated at time t + h (h being a large number of cycles) according to the scheme described below (see Fig. 5 ).
(21) D t + h = D t + h · Δ D 3 A finite element simulation over one cycle is performed using data approximated at time t + h (according to Eq. (21) ).
These approaches are based on a theorem proved in this paper which allows to compute the approximate solution at each time step by means of a block-oriented method based on diagonal Padé approximations.
In Tables 1 and 2, we present the comparison of water head height at the centers of R1 and R2, respectively, when the recharge rate is approximated at constant rate and at time-varying rates (λ = 0.2 d−1).
The total scanning time is approximated at 30 minutes and the protocol sequence is detailed in Table 2. Sequencing is prioritized in the order listed and will depend on how long each infant will remain still in the scanner.
In our approach, approximate linear models are extracted at each time sample by instantaneous linearization of nonlinear fuzzy model and adaptive GPC is used.
Variable assessments at each time point confirmed approximate normality of serum 25(OH D and calcium concentrations; PTH values were log transformed due to their right-skewed distributions before inclusion in analysis.
I end up noting all the snags at each site and approximating how much time has passed since the trees' death at each spot we visit.
The E-M Rule multiplies this by 200/(200-18), giving a doubling time of 4.23 years, which better approximates the actual doubling time 4.19 years at this rate.
