Citation map · Study

SZodixStudyAcademic Library

Shelves Open access

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

Simplex stochastic collocation with ENO-type stencil selection for robust uncertainty quantification

16 references·8 citing·25 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
2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
2004Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations869 cited
2005An adaptive multi-element generalized polynomial chaos method for stochastic differential equations578 cited
2009An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations447 cited
2004Uncertainty propagation using Wiener–Haar expansions438 cited
2004Multi-resolution analysis of Wiener-type uncertainty propagation schemes335 cited
2008The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications214 cited
2008Uncertainty quantification for systems of conservation laws177 cited
2010Time-dependent generalized polynomial chaos173 cited
2010Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems127 cited
2008Galerkin Method for Wave Equations with Uncertain Coefficients112 cited

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

2004Spectral stochastic uncertainty quantification in chemical systems107 cited

2009A domain adaptive stochastic collocation approach for analysis of MEMS under uncertainties88 cited

Cited by

2014The Stochastic Collocation Monte Carlo Sampler: Highly Efficient Sampling from 'Expensive' Distributions37 cited
2017An efficient Bayesian uncertainty quantification approach with application to k-ω-γ transition modeling36 cited
2015Simplex-stochastic collocation method with improved scalability23 cited
2013Dynamic Adaptive Sampling Based on Kriging Surrogate Models for Efficient Uncertainty Quantification23 cited
2013Subcell resolution in simplex stochastic collocation for spatial discontinuities16 cited
2016Uncertainty Quantification by the Nonintrusive Polynomial Chaos Expansion with an Adjustment Strategy15 cited
2019A Kriging-Based Dynamic Adaptive Sampling Method for Uncertainty Quantification11 cited
2020Adaptive sampling-based quadrature rules for efficient Bayesian prediction11 cited