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math.NA2017★ 29 cited
Stochastic collocation approach with adaptive mesh refinement for parametric uncertainty analysis
Anindya Bhaduri, Yanyan He, Michael D. Shields +2
Presence of a high-dimensional stochastic parameter space with discontinuities poses major computational challenges in analyzing and quantifying the effects of the uncertainties in…
math.NA2017
An efficient adaptive sparse grid collocation method through derivative estimation
Anindya Bhaduri, Lori Graham-Brady
For uncertainty propagation of highly complex and/or nonlinear problems, one must resort to sample-based non-intrusive approaches [1]. In such cases, minimizing the number of funct…