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20142025
most citedConvergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise

8 citations · 11 across the 16 of their papers we have counts for

collaborators

16 papers

math.AP2025

Stochastic parabolic equations in Musielak-Orlicz spaces with discontinuous in time N-function

Piotr Gwiazda, Jakub Woźnicki, Aneta Wróblewska-Kamińska +1

We consider a stochastic parabolic partial differential equation with Dirichlet boundary conditions, multiplicative stochastic noise, and a monotone parabolic operator A. The growt…

math.AP2025

Well-posedness of a time discretization scheme for a stochastic p-Laplace equation with Neumann boundary conditions

Caroline Bauzet, Kerstin Schmitz, Cédric Sultan +1

In this contribution, we are interested in the analysis of a semi-implicit time discretization scheme for the approximation of a parabolic equation driven by multiplicative colored…

math.AP2024★ 1 cited

A nonlinear stochastic diffusion-convection equation with reflection

Niklas Sapountzoglou, Yassine Tahraoui, Guy Vallet +1

We study a nonlinear, pseudomonotone, stochastic diffusion-convection evolution problem on a bounded spatial domain, in any space dimension, with homogeneous boundary conditions an…

math.NA2024★ 1 cited

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.NA2024

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.PR2024

Well-posedness of stochastic evolution equations with Hölder continuous noise

Kerstin Schmitz, Aleksandra Zimmermann

We show existence and pathwise uniqueness of probabilistically strong solutions to a pseudomonotone stochastic evolution problem on a bounded domain , $d\in…