2 citations · 4 across the 7 of their papers we have counts for
4 papers · 1 filter
Integrability and Approximability of Solutions to the Stationary Diffusion Equation with Lévy Coefficient
Oliver G. Ernst, Hanno Gottschalk, Thomas Kalmes +2
We investigate the stationary diffusion equation with a coefficient given by a (transformed) Lévy random field. Lévy random fields are constructed by smoothing Lévy noise fields wi…
Regularization for the inversion of Fibre Bragg Grating spectra
Daniel Gerth, Susann Hannusch, Oliver Ernst +1
Fibre Bragg Gratings have become widespread measurement devices in engineering and other fields of application. In all but a few cases, the relation between cause and effect is sim…
On the convergence of adaptive stochastic collocation for elliptic partial differential equations with affine diffusion
Martin Eigel, Oliver Ernst, Björn Sprungk +1
Convergence of an adaptive collocation method for the stationary parametric diffusion equation with finite-dimensional affine coefficient is shown. The adaptive algorithm relies on…
Wasserstein sensitivity of Risk and Uncertainty Propagation
Oliver G. Ernst, Alois Pichler, Björn Sprungk
When propagating uncertainty in the data of differential equations, the probability laws describing the uncertainty are typically themselves subject to uncertainty. We present a se…