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20072026
most citedStochastic Reaction-diffusion Equations Driven by Jump Processes

70 citations · 150 across the 39 of their papers we have counts for

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6 papers · 1 filter

math.NA2025

Time discretization of a semi-discrete scheme for 3D Chemotaxis-Navier-Stokes system driven by transport noise

Erika Hausenblas, Boris Jidjou Moghomye, Paul Andre Razafimandimby

This work is devoted to the convergence of a time-discrete numerical scheme of a semi-discretization model arising from biology, consisting of a chemotaxis equation coupled with a…

math.NA2021

Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise

Erika Hausenblas, Mihály Kovács

We investigate the quality of space approximation of a class of stochastic integral equations of convolution type with Gaussian noise. Such equations arise, for example, when consi…

math.NA2018★ 5 cited

Pathwise space approximations of semi-linear parabolic SPDEs with multiplicative noise

Sonja Cox, Erika Hausenblas

We provide convergence rates for space approximations of semi-linear stochastic differential equations with multiplicative noise in a Hilbert space. The space approximations we con…

math.NA2018★ 7 cited

Time-discretization of stochastic 2-D Navier--Stokes equations with a penalty-projection method

Erika Hausenblas, Tsiry Randrianasolo

A time-discretization of the stochastic incompressible Navier--Stokes problem by penalty method is analyzed. Some error estimates are derived, combined, and eventually arrive at a…

math.NA2016★ 9 cited

Numerical approximation of stochastic evolution equations: Convergence in scale of Hilbert spaces

Hakima Bessaih, Erika Hausenblas, Tsiry Randrianasolo +1

The present paper is devoted to the numerical approximation of an abstract stochastic nonlinear evolution equation in a separable Hilbert space {}. Examples of equation…

math.NA2013

Convergence analysis of sectional methods for solving aggregation population balance equations: The fixed pivot technique

Ankik Kumar Giri, Erika Hausenblas

In this paper, we introduce the convergence analysis of the fixed pivot technique given by S.Kumar and Ramkrishna \cite{Kumar:1996-1} for the nonlinear aggregation population balan…