7 citations · 11 across the 12 of their papers we have counts for
3 papers · 1 filter
Quasi-Monte Carlo for partial differential equations with generalized Gaussian input uncertainty
Philipp A. Guth, Vesa Kaarnioja
There has been a surge of interest in uncertainty quantification for parametric partial differential equations (PDEs) with Gevrey regular inputs. The Gevrey class contains function…
Quasi-Monte Carlo integration for feedback control under uncertainty
Philipp A. Guth, Peter Kritzer, Karl Kunisch
A control in feedback form is derived for linear quadratic, time-invariant optimal control problems subject to parabolic partial differential equations with coefficients depending…
Tracking optimal feedback control under uncertain parameters
Philipp A. Guth, Karl Kunisch, Sergio S. Rodrigues
Optimal control problems of tracking type for a class of linear systems with uncertain parameters in the dynamics are investigated. An affine tracking feedback control input is obt…