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math.NA2025
Theoretical analysis of a finite-volume scheme for a stochastic Allen-Cahn problem with constraint
Caroline Bauzet, Cédric Sultan, Guy Vallet +1
The aim of this contribution is to address the convergence study of a time and space approximation scheme for an Allen-Cahn problem with constraint and perturbed by a multiplicativ…
math.NA2025
Convergence rates for a finite volume scheme of the stochastic heat equation
Niklas Sapountzoglou, Aleksandra Zimmermann
In this contribution, we provide convergence rates for a finite volume scheme of the stochastic heat equation with multiplicative Lipschitz noise and homogeneous Neumann boundary c…
math.NA2024
On a finite-volume approximation of a diffusion-convection equation with a multiplicative stochastic force
Caroline Bauzet, Kerstin Schmitz, Aleksandra Zimmermann
We address an original approach for the convergence analysis of a finite-volume scheme for the approximation of a stochastic diffusion-convection equation with multiplicative noise…