209 citations · 549 across the 39 of their papers we have counts for
4 papers · 1 filter
Approximation of probability density functions for PDEs with random parameters using truncated series expansions
Giacomo Capodaglio, Max Gunzburger, Henry P. Wynn
The probability density function (PDF) of a random variable associated with the solution of a partial differential equation (PDE) with random parameters is approximated using a tru…
A Localized Reduced-Order Modeling Approach for PDEs with Bifurcating Solutions
Martin Hess, Alessandro Alla, Annalisa Quaini +2
Reduced-order modeling (ROM) commonly refers to the construction, based on a few solutions (referred to as snapshots) of an expensive discretized partial differential equation (PDE…
Survey of multifidelity methods in uncertainty propagation, inference, and optimization
Benjamin Peherstorfer, Karen Willcox, Max Gunzburger
In many situations across computational science and engineering, multiple computational models are available that describe a system of interest. These different models have varying…
Regularity and approximation analyses of nonlocal variational equality and inequality problems
Olena Burkovska, Max Gunzburger
We consider linear and obstacle problems driven by a nonlocal integral operator, for which nonlocal interactions are restricted to a ball of finite radius. These type of operators…