Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

Study · an open academic library·Metadata from OpenAlex (CC0)·Shelves·OpenAlex metadata, de-duplicated

A global sensitivity index based on Fréchet derivative and its efficient numerical analysis

16 references·5 citing·40 second hop

FromToDepth

this work references cited by second hop

References

2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
1996Importance measures in global sensitivity analysis of nonlinear models2,014 cited
2002Sensitivity Analysis for Importance Assessment1,303 cited
2006A new uncertainty importance measure1,030 cited
2009Stochastic Dynamics of Structures923 cited
2006The principle of preservation of probability and the generalized density evolution equation517 cited
2011Reliability-based design optimization using kriging surrogates and subset simulation450 cited
2015A GF-discrepancy for point selection in stochastic seismic response analysis of structures with uncertain parameters410 cited
2010Efficient computation of global sensitivity indices using sparse polynomial chaos expansions383 cited
2004Probability density evolution method for dynamic response analysis of structures with uncertain parameters368 cited
2002Stochastic Calculus: Applications in Science and Engineering345 cited
2005Reliability-based design sensitivity by efficient simulation330 cited
2008Subset simulation for structural reliability sensitivity analysis284 cited
2001Reliability-based optimal structural design by the decoupling approach241 cited
2019

Only edges whose both ends are imported exist here. Widen the year window, or show the whole map. Back to the work

Surrogate-assisted reliability-based design optimization: a survey and a unified modular framework

213 cited

1989Asymptotic approximations for probability integrals200 cited

Cited by

2023Improvements to the probability density evolution method integrated with the change of probability measure on quantifying hybrid uncertainties21 cited
2023Global sensitivity evolution equation of the Fréchet-derivative-based global sensitivity analysis19 cited
2023A two-stage uncertainty quantification framework for reliability and sensitivity analysis of structures using the probability density evolution method integrated with the Fréchet-derivative-based method16 cited
2021Sensitivity estimation of first excursion probabilities of linear structures subject to stochastic Gaussian loading13 cited
2025Joint probabilistic modelling and sampling from small data via probabilistic learning on manifolds and decoupled multi-probability density evolution method12 cited