The t-value of a (t,m, s)-net is an important criterion of point sets for quasiMonte Carlo integration, and many point sets are constructed in terms of tvalues, as this leads to small integration error bounds. Recently, Matsumoto, Saito, and Matoba proposed the Walsh figure of merit (WAFOM) as a quickly computable criterion of point sets that ensure higher order convergence for function classes...

We investigate the propagation of probabilistic uncertainty through the action potential mechanism in nerve cells. Using the Hodgkin-Huxley (H-H) model and Stochastic Collocation on Sparse Grids, we obtain an accurate probabilistic interpretation of the deterministic dynamics of the transmembrane potential and gating variables. Using Sobol indices, out of the 11 uncertain parameters in the H-H ...

In order to improve the fan noise, multi-objective optimization algorithm was implemented optimize blade structure. Firstly, theoretical model with flow rate and power of as objectives established verified; then, global sensitivity analysis method based on sobol' used obtain contributions each parameter performance by taking angle chord length parameters; finally, sensitive parameters are selec...

Sensitivity analysis is routinely performed on simplified surrogate models as the cost of such original model may be prohibitive. Little known in general about induced bias sensitivity results. Within framework chemical kinetics, we provide a full justification above approach case variance based methods provided results from one through thermodynamic limit. In particular, analyze convergence So...

Environmental security is among the top priorities worldwide, and there are many difficulties in this area. The reason for a painful subject society healthcare systems. Multidimensional sensitivity analysis fundamental process of validating accuracy reliability large-scale computational models air pollution. In paper, we present an improved version well-known Sobol sequence, which shows signifi...

In this paper, we study the influence of an original airship design on its stability modes. Based verified model YEZ-2A airship, Sobol sensitivities are calculated to filter parameters. The hull length, slenderness ratio hull, exponent tail, fin installation position and half-span found be large influences all modes, whereas modes comparatively insensitive bow relative thickness. empirical form...

Abstract This paper presents the Global Sensitivity Analysis of coefficients standard k- ε turbulence model used in RANS (Reynolds Averaged Navier-Stokes) simulations aimed to predict flow around a bi-dimensional hydrofoil operating at non-cavitating and cavitating regimes. The sensitivity analysis is treated by Sobol Decomposition, where Indices are computed through Polynomial Chaos Expansion ...

Identifying important factors from a large number of potentially highly nonlinear and computationally expensive black box model is difficult problem. Morris screening Sobol’ design are two commonly used model-free methods for doing this. In this article, we establish connection between these seemingly different in terms their underlying experimental structure further exploit to develop an impro...