Sentence examples for by numerical integration in from inspiring English sources
On the downlink, [4, 5] aimed at computing an averaged OCIF over the cell by numerical integration in hexagonal networks.
As a results, we implemented (69) with f θ N ≡ 0. The solutions of the dynamic compensator (69) were obtained by numerical integration in LabVIEW which was used as the development environment.
Influence lines computed by numerical integration in force-based elements converge to the exact solution and accurate results are obtained for practical applications in structural engineering through the new low-order integration approach.
The expected average WTP according to the logit model, using maximum likelihood was calculated by numerical integration in the range of zero to the maximum amount of the proposed bid as follows: E WTP ={displaystyle underset{0}{overset{30000}{int }}}left(frac{1}{1+ ex{p}^{left{-left(2.134299-0.001845* BIDright)right}}}right dA=26820 (9).
Generally, the most significant property of the collocation method is its fluency in the application; e.g., matrix elements of the given equation are evaluated directly rather than by numerical integration as in the Galerkin procedure.
For each of 1000 random sets of parameters we evaluated the Hessian by numerical integration, as outlined in Text S1 Section D. We calculated the eigenvalues of the Hessian using the QR algorithm, specifically the NAG FORTRAN subroutine F02FAF [20].
For ease of reference, we have computed the values of ξ(n) by numerical integration using the computer in Table 1 for n up to 50.
The update rules are performed "ideally" by the numerical integration in the simulations.
The simulations were implemented in R (version: 2.10.1, refer to "Additional file 1: Example of R - code for simulations" for an example of the code) and the numerical errors inherent in any computational program were neglected (for example, the error (uncertainty) which is added by using numerical integration in calculating the AAFs was not taken into consideration for our variance calculations).
A method for computing minimum ignition energies for gaseous fuel mixtures with detailed and reduced chemistry, by numerical integration of time-dependent conservation equations in a spherically symmetrical configuration, is presented and discussed, testing its general characteristics and accuracy.
