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In this method, reliability is estimated through analytical computation of the sensitivity of stochastic response to the basic random variables.
Then a unified consideration of the computation of the sensitivity and Hessian matrix is studied for both the self-adjoint and non-self-adjoint cases.
For the efficient computation of the sensitivity with respect to the design and random variables, an adjoint variable method for geometrically nonlinear structures is employed.
An efficient multi-scale sensitivity analysis technique is then introduced that allows computation of the sensitivity of microstructure field variables such as slip resistances and texture with respect to perturbations in macro-scale forming parameters such as forging rates, die shapes and preform shapes.
Solid lines correspond to a computation of the sensitivity on the basis of Equation 7 for a random Gaussian force that was band-limited to 200 Hz and had a standard deviation of σ s = 1 pN.
Line 15 is an abbreviation for the computation of the sensitivity contribution according to Eq. (9).
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We provide details on the numerical computation of the sensitivities on the project's website.
The researchers based their findings on a combination of comprehensive climate model simulations and novel computations of the sensitivity of ocean circulation to fluctuations in temperature and salinity at the ocean's surface over time.
A continuum sensitivity analysis is presented for the computation of the shape sensitivity of finite hyperelastic viscoplastic deformations involving contact with friction using a direct differentiation method.
This property allows the reduction of the computation load in numeric calculation of the sensitivity trajectories- Simplified equations for gradient and Fisher information matrix calculation using this property are given.
Table 4 presents the computation results of the sensitivity index.
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