447 citations · 2.5k across the 63 of their papers we have counts for
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math.DS2015★ 196 cited
Data Assimilation: A Mathematical Introduction
K. J. H. Law, A. M. Stuart, K. C. Zygalakis
These notes provide a systematic mathematical treatment of the subject of data assimilation.
math.DS2014★ 32 cited
Controlling Unpredictability with Observations in the Partially Observed Lorenz '96 Model
K. J. H. Law, D. Sanz-Alonso, A. Shukla +1
In the context of filtering chaotic dynamical systems it is well-known that partial observations, if sufficiently informative, can be used to control the inherent uncertainty due t…
math.DS2012
Analysis of the 3DVAR Filter for the Partially Observed Lorenz '63 Model
K. J. H. Law, A. Shukla, A. M. Stuart
The problem of effectively combining data with a mathematical model constitutes a major challenge in applied mathematics. It is particular challenging for high-dimensional dynamica…