118 citations · 697 across the 32 of their papers we have counts for
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math.NA2013★ 20 cited
Parameter estimation by implicit sampling
Matthias Morzfeld, Xuemin Tu, Jon Wilkening +1
Implicit sampling is a weighted sampling method that is used in data assimilation, where one sequentially updates estimates of the state of a stochastic model based on a stream of…
math.NA2013
Estimating the uncertainty in underresolved nonlinear dynamics
Alexandre J. Chorin, Ole H. Hald
The Mori-Zwanzig formalism of statistical mechanics is used to estimate the uncertainty caused by underresolution in the solution of a nonlinear dynamical system. A general approac…
math-ph2013★ 29 cited
Conditions for successful data assimilation
Alexandre J. Chorin, Matthias Morzfeld
We show, using idealized models, that numerical data assimilation can be successful only if an effective dimension of the problem is not excessive. This effective dimension depends…