52 citations · 135 across the 10 of their papers we have counts for
4 papers · 1 filter
Analysis of boundary effects on PDE-based sampling of Whittle-Matérn random fields
Ustim Khristenko, Laura Scarabosio, Piotr Swierczynski +2
We consider the generation of samples of a mean-zero Gaussian random field with Matérn covariance function. Every sample requires the solution of a differential equation with Gauss…
A practical example for the non-linear Bayesian filtering of model parameters
Matthieu Bulté, Jonas Latz, Elisabeth Ullmann
In this tutorial we consider the non-linear Bayesian filtering of static parameters in a time-dependent model. We outline the theoretical background and discuss appropriate solvers…
Bayesian parameter identification in Cahn-Hilliard models for biological growth
Christian Kahle, Kei Fong Lam, Jonas Latz +1
We consider the inverse problem of parameter estimation in a diffuse interface model for tumour growth. The model consists of a fourth-order Cahn-Hilliard system and contains three…
Fast sampling of parameterised Gaussian random fields
Jonas Latz, Marvin Eisenberger, Elisabeth Ullmann
Gaussian random fields are popular models for spatially varying uncertainties, arising for instance in geotechnical engineering, hydrology or image processing. A Gaussian random fi…