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The main features of the wave propagation have been found using numerical procedures based on the Finite Element Method, through the application of the Bloch's theorem for the corresponding primitive unit cells.
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The likelihood equations are given in Birnbaum and Saunders (1969b) and the ML estimates for α and β need to be found using numerical techniques.
In any other case (e.g., if R R ≠ S R ), the (optimal) training can be found using numerical methods like the semidefinite relaxation approach described in [28].
In any other case (e.g., if R R ≠ S R ), the training can be found using numerical methods like the semidefinite relaxation approach described in [28].
Assuming elastic perfectly plastic (EPP) behavior of steel and considering P-Δ effect with P from gravity loads and Δ from the earthquake, the fire-resistance rating was found using numerical methods.
Instead, the solution is found using a numerical method.
The optimal solution is found using the numerical optimization package DIRCOL.
Bursting trajectories and torus canards are found using direct numerical simulations with a stiff-solver suited to multiple time scale systems, starting from arbitrary initial conditions, and we disregard transients in the figures.
Only a handful of analytical T-optimal designs are available for the simplest problems; the rest in the literature are found using specialized numerical procedures for a specific problem.
The response of the beam to excitation of an arbitrary nature may then be found using time domain numerical integration of the reduced set of equations.
A numerical solution was found using the consistent splitting scheme and the finite element method.
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