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The classical Runge-Kutta method is employed to compute the displacement and moving velocity.
Rayleigh Ritz energy method is employed to compute the static and dynamic pull-in parameters.
Monte Carlo method is employed to compute the propagation of uncertainties through the stochastic model.
A direct numerical integration method is employed to compute the non-linear frequencies of thermally stressed structures.
The Arbitrary Lagrangian-Eulerian (ALE) method is employed to compute the six degrees of freedom motion of a particle (Zhang et al., 2015).
In the design part, a generalized robustness regions method is employed to compute the boundary of the PID parameters region ensuring common frequency domain requirements.
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The correlated k-distribution method was employed to compute the radiative properties of the medium.
A constrained string method was employed to compute the probable minimum energy paths and the microstructures along each path.
The boundary displacement and isoparametric mapping methods are employed to compute the design velocity field.
An iterative procedure using the first-order reliability method (FORM) and response surface method (RS M is employed to compute the reliability index and its corresponding design point.
Hence, a numerical method, called the active set method [34], is employed to compute the Lagrange multipliers.
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