3 papers
math.NA2026
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…
math.NA2025
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…
math.PR2023
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…