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math.NA2026
Error analysis for 3D Navier--Stokes equations with additive noise
Soumya Ranjan Behera, Dominic Breit, Abhishek Chaudhary
We consider the three-dimensional stochastic Navier--Stokes equations with additive stochastic forcing. We study temporal discretizations based on a semi-implicit Euler as well as…
math.NA2026
A Higher Order Discretization for the Stochastic Navier--Stokes equations with additive Noise
L. Banas, D. Breit, A. Chaudhary +1
We propose a new higher-order time discretization scheme for the stochastic Navier--Stokes equations with additive noise, where its velocity and pressure approximates converge at s…
math.NA2025
Higher order numerical schemes for SPDEs with additive Noise
Abhishek Chaudhary, Andreas Prohl
We present high-order numerical schemes for linear stochastic heat and wave equations with Dirichlet boundary conditions, driven by additive noise. Standard Euler schemes for SPDEs…