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05/18/2023
Mean Square Temporal error estimates for the 2D stochastic Navier-Stokes equations with transport noise
We study the 2D Navier-Stokes equation with transport noise subject to p...
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10/05/2022
Weak error analysis for the stochastic Allen-Cahn equation
We prove strong rate resp. weak rate 𝒪(τ) for a structure preserving tem...
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05/15/2022
Higher order time discretization for the stochastic semilinear wave equation with multiplicative noise
In this paper, a higher-order time-discretization scheme is proposed, wh...
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10/12/2021
Numerical analysis of 2D Navier–Stokes equations with additive stochastic forcing
We propose and study a temporal, and spatio-temporal discretisation of t...
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09/14/2021
Error analysis for 2D stochastic Navier–Stokes equations in bounded domains
We study a finite-element based space-time discretisation for the 2D sto...
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12/18/2020
Strong Rates of Convergence for Space-Time Discretization of the Backward Stochastic Heat Equation, and of a Linear-Quadratic Control Problem for the Stochastic Heat Equation
We introduce a time-implicit, finite-element based space-time discretiza...
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12/08/2020
Strong Error Estimates for a Space-Time Discretization of the Linear-Quadratic Control Problem with the Stochastic Heat Equation with Linear Noise
We propose a time-implicit, finite-element based space-time discretizati...
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05/06/2020
Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations
We propose some new mixed finite element methods for the time dependent ...
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04/22/2020
Numerical Analysis for Nematic Electrolytes
We consider a system of nonlinear PDEs modeling nematic electrolytes, an...
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03/12/2020