514 citations · 1.3k across the 26 of their papers we have counts for
3 papers · 1 filter
Efficient uncertainty propagation for network multiphysics systems
Paul G. Constantine, Eric T. Phipps, Timothy M. Wildey
We consider a multiphysics system with multiple component models coupled together through network coupling interfaces, i.e., a handful of scalars. If each component model contains…
Model Reduction with MapReduce-enabled Tall-and-Skinny Singular Value Decomposition
Paul G. Constantine, David F. Gleich, Yangyang Hou +1
We present a method for computing reduced-order models of parameterized partial differential equation solutions. The key analytical tool is the singular value expansion of the para…
Active subspace methods in theory and practice: applications to kriging surfaces
Paul G. Constantine, Eric Dow, Qiqi Wang
Many multivariate functions in engineering models vary primarily along a few directions in the space of input parameters. When these directions correspond to coordinate directions,…