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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 integral of the stochastic correlation (rho_{t}) can be computed numerically using e.g. the Milstein scheme [17].
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].
We do a search over a two-dimensional surface: since we know the initial conditions of the game, the trajectories can be computed numerically using the expressions in Eq. (26).
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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.
Further, the responses are computed numerically using the direct iteration method in conjunction with the finite element method.
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.
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