32 citations · 147 across the 27 of their papers we have counts for
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math.AP2013★ 5 cited
Non-Markovian Reduced Systems for Stochastic Partial Differential Equations: The Additive Noise Case
Mickaël D. Chekroun, Honghu Liu, Shouhong Wang
This article proposes for stochastic partial differential equations (SPDEs) driven by additive noise, a novel approach for the approximate parameterizations of the ``small'' scales…
math.AP2013★ 6 cited
On stochastic parameterizing manifolds: Pullback characterization and Non-Markovian reduced equations
Mickael D. Chekroun, Honghu Liu, Shouhong Wang
A general approach to provide approximate parameterizations of the "small" scales by the "large" ones, is developed for stochastic partial differential equations driven by linear m…