38 citations · 45 across the 15 of their papers we have counts for
15 papers
Numerical Study of a Surface Growth Model with Singular Noise
Dirk Blömker, David Buchberger, Johannes Rimmele
We study a stochastic model for epitaxial thin-film growth driven by spatially rough additive noise in a regime where the noise is singular and regularization via truncation in Fou…
Numerical approximation of nonlinear fourth-order SPDEs with additive space-time white noise
Dirk Blömker, Chengcheng Ling, Johannes Rimmele
We consider the strong numerical approximation for a fourth-order stochastic nonlinear SPDE driven by space-time white noise on {}-dimensional torus. We consider its full…
Stabilization by rough noise for an epitaxial growth model
Dirk Blömker, Johannes Rimmele
In this article we study a model from epitaxial thin-film growth. It was originally introduced as a phenomenological model of growth in the presence of a Schwoebbel barrier, where…
Continuous time limit of the stochastic ensemble Kalman inversion: Strong convergence analysis
Dirk Blömker, Claudia Schillings, Philipp Wacker +1
The Ensemble Kalman inversion (EKI) method is a method for the estimation of unknown parameters in the context of (Bayesian) inverse problems. The method approximates the underlyin…
The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations
Hongbo Fu, Dirk Blömker
This article deals with the approximation of a stochastic partial differential equation (SPDE) via amplitude equations. We consider an SPDE with a cubic nonlinearity perturbed by a…
Stochastic Cahn-Hilliard equation in higher space dimensions: The motion of bubbles
Alexander Schindler, Dirk Blömker
We study the stochastic motion of a droplet in a stochastic Cahn-Hilliard equation in the sharp interface limit for sufficiently small noise. The key ingredient in the proof is a d…