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math.PR2015★ 2 cited
On the convergence analysis of the inexact linearly implicit Euler scheme for a class of SPDEs
Petru A. Cioica, Stephan Dahlke, Nicolas Döhring +6
This paper is concerned with the adaptive numerical treatment of stochastic partial differential equations. Our method of choice is Rothe's method. We use the implicit Euler scheme…
math.PR2010
Spatial Besov Regularity for Stochastic Partial Differential Equations on Lipschitz Domains
Petru A. Cioica, Stephan Dahlke, Stefan Kinzel +4
We use the scale of Besov spaces B^α_{τ,τ}(O), α>0, 1/τ=α/d+1/p, p fixed, to study the spatial regularity of the solutions of linear parabolic stochastic partial differential equat…