270 citations · 618 across the 36 of their papers we have counts for
4 papers · 1 filter
Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling
Benjamin Peherstorfer
This work presents a model reduction approach for problems with coherent structures that propagate over time such as convection-dominated flows and wave-type phenomena. Traditional…
A transport-based multifidelity preconditioner for Markov chain Monte Carlo
Benjamin Peherstorfer, Youssef Marzouk
Markov chain Monte Carlo (MCMC) sampling of posterior distributions arising in Bayesian inverse problems is challenging when evaluations of the forward model are computationally ex…
Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points
Benjamin Peherstorfer, Zlatko Drmač, Serkan Gugercin
This work investigates the stability of (discrete) empirical interpolation for nonlinear model reduction and state field approximation from measurements. Empirical interpolation de…
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…