“…Numerical analysis of PDEs with GRF inputs refers on the one hand to questions of efficient, numerical simulation methods of GRF inputs (see, e.g., [83,45,53,11,13,92] and the references there), and on the other hand to the efficient numerical approximation of corresponding PDE solution ensembles, which arise for GRF inputs, in particular efficient representation of such solution ensembles (see [67,9,8]), and numerical quadrature of corresponding solution fields (see [67,77,46,54,63,62,90] and the references there). Applications include for instance subsurface flow models (see, e.g., [45,52]) but also other PDE models for media with uncertain properties (see, e.g., [71] for electromagnetics).…”