133 citations · 631 across the 63 of their papers we have counts for
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3 papers · 1 filter
math.NA2019★ 43 cited
Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise
Colin Cotter, Dan Crisan, Darryl Holm +2
This paper contains the latest installment of the authors' project on developing ensemble based data assimilation methodology for high dimensional fluid dynamics models. The algori…
stat.AP2019★ 14 cited
A Particle Filter for Stochastic Advection by Lie Transport (SALT): A case study for the damped and forced incompressible 2D Euler equation
Colin Cotter, Dan Crisan, Darryl D. Holm +2
In this work, we combine a stochastic model reduction with a particle filter augmented with tempering and jittering, and apply the combined algorithm to a damped and forced incompr…
math.AP2019★ 1 cited
Well-posedness for a stochastic 2D Euler equation with transport noise
Dan Crisan, Oana Lang
We prove the existence of a unique global strong solution for a stochastic two-dimensional Euler vorticity equation for incompressible flows with noise of transport type. In partic…