Author

Katharina Klioba

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Preprint Sep 2026

Strong convergence rates of tamed exponential Euler schemes for superlinear hyperbolic SPDEs

In this paper, we prove pathwise uniform convergence at rates up to $1/2$ for tamed exponential Euler schemes for semilinear hyperbolic stochastic evolution equations with superlinearly growing nonlinearities and multiplicative noise. We take the term hyperbolic to mean that the leading operator generates a contractive...

Katharina Klioba · 0 citations

Open access Sep 2026

Milstein-type schemes for hyperbolic SPDEs

This article studies the temporal approximation of hyperbolic semilinear stochastic evolution equations with multiplicative Gaussian noise by Milstein-type schemes. We take the term hyperbolic to mean that the leading operator generates a contractive, not necessarily analytic $C_0$-semigroup. Optimal convergence rates...

Felix Kastner, Katharina Klioba · ESAIM: Mathematical Modellin... · 1 citation

Preprint Aug 2026

The stochastic Cahn-Hilliard equation in critical spaces

We study stochastic Cahn-Hilliard equations in bounded smooth domains with a double-well potential, transport-type noise, and natural Neumann boundary conditions in dimensions $d\le 4$. By employing stochastic maximal regularity techniques and deriving suitable energy estimates, we prove local and global well-posedness...

Simon Bau, Gideon Chiusole, Sarah Geiss et al. · 1 citation