Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

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

A Stochastic Collocation Algorithm for Uncertainty Analysis

4 references·16 citing·26 second hop

FromToDepth

this work references cited by second hop

References

1991Stochastic Finite Elements: A Spectral Approach5,753 cited
2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
2001Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos273 cited

Cited by

2009Uncertainty quantification in chemical systems139 cited
2009A least-squares approximation of partial differential equations with high-dimensional random inputs138 cited
2015Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression134 cited
2010Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems127 cited
2013Reweighted minimization method for stochastic elliptic differential equations108 cited
2007A multiscale stochastic finite element method on elliptic problems involving uncertainties99 cited
2009Robust Aerodynamic Design Optimization Using Polynomial Chaos88 cited
2009Padé–Legendre approximants for uncertainty analysis with discontinuous response surfaces76 cited
2016On polynomial chaos expansion via gradient-enhanced ℓ1-minimization72 cited
2012Global sensitivity analysis in an ocean general circulation model: a sparse spectral projection approach

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

65 cited

2011Stochastic identification of composite material properties from limited experimental databases, Part II: Uncertainty modelling52 cited

2017A low-rank control variate for multilevel Monte Carlo simulation of high-dimensional uncertain systems51 cited

2011A nonintrusive stochastic multiscale solver44 cited

2004Uncertainty Propagation for a Turbulent, Compressible Nozzle Flow Using Stochastic Methods44 cited

2008Airfoil Analysis with Uncertain Geometry Using the Probabilistic Collocation Method38 cited

2016Probabilistic collocation method for strongly nonlinear problems: 3. Transform by time37 cited