Considering the parameters as random variables, this paper uses the generalized polynomial chaos (gPC) expansion to capture the uncertainty in the damping and frequency response function of composite plate structures.
We use the generalized polynomial chaos based stochastic Galerkin (gPC-SG) method, which is combined with the micro macro decomposition based deterministic AP framework in order to handle efficiently the diffusive regime.
It simplifies the modular reduction compared with the case of using the generalized irreducible polynomial.
Population percentiles will be calculated by applying polynomial regression methods, using the generalized estimating equations method, to model the mean at specific gestational ages, taking into account correlations between repeated measurements on the same subjects [ 38].
with respect to model parameters are constructed based on the generalized polynomial chaos (gPC) expansion using simulation results on sampling points (e.g., individual parameter sets).
The method approximates the intermediate short-time flow maps by spectral polynomial bases, as in the generalized polynomial chaos (gPC) method, and uses flow map composition to construct the long-time flow map.
The non-sampling stochastic simulation method based on the generalized polynomial chaos (gPC) expansion technique is used for numerical dynamic simulation of the base-isolated liquid storage tanks.
The generalized polynomial chaos method combined with the finite element technique is used for the solution of equations resulting from the coarse formulation and subgrid models.
