Sentence examples for been computed numerically using from inspiring English sources

The deflections and the natural frequencies of the laminated composite flat panels have been computed numerically using two higher-order mid-plane kinematics and compared with the available published numerical/analytical results.

However, they can be computed numerically using existing subroutines [14].

Alternatively, the inversion of Laplace transform (Eq. 8) may be computed numerically using Stehfest algorithm [12].

The inverse of Laplace transform is computed numerically using Fourier expansion techniques.

The inverse Laplace transforms are computed numerically using a method based on Fourier expansion techniques.

The integral of the stochastic correlation (rho_{t}) can be computed numerically using e.g. the Milstein scheme [17].

Further, the responses are computed numerically using the direct iteration method in conjunction with the finite element method.

Such derivatives can be computed numerically using the iterative algorithm of [21], which is provided in Appendix 6 for the sake of completeness.

Because the model is scalar, the Bayesian filtering densities p(x k | y 1 k ) can be computed numerically using point mass filters (PMF) [77].

All export schemes can be stated as a quadratic optimization problem and were computed numerically using the python interface to the commercial solver Gurobi [29].

Several Functionally Graded Materials (FGMs) with an edge crack and membrane loading are considered and the resulting J-integral values are computed numerically using Finite Element Analysis.