An efficient, high-order probabilistic collocation method on sparse grids for three-dimensional flow and solute transport in randomly heterogeneous porous media

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Deep Convolutional Encoder‐Decoder Networks for Uncertainty Quantification of Dynamic Multiphase Flow in Heterogeneous Media (2018, methodology): “One common solution is to approximate the outputs at only one or several speciﬁc time instances [e.g., Li et al. , 2009; Lin and Tartakovsky , 2009; Liao and Zhang , 2013, 2014, 2016; Liao et al. , 2017].”
Variance-based global sensitivity analysis for multiple scenarios and models with implementation using sparse grid collocation (2015, methodology): “This use of SGC is similar to SGC applications to moment equations for estimating mean and variance using quadrature rules directly without building surrogates (Lin and Tartakovsky, 2009, 2010; Lin et al., 2010; Shi et al., 2009).”