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math.DS2017★ 1 cited
Projected Shadowing-based Data Assimilation
Bart de Leeuw, Svetlana Dubinkina, Jason Frank +3
In this article we develop algorithms for data assimilation based upon a computational time dependent stable/unstable splitting. Our particular method is based upon shadowing refin…
math.DS2017★ 5 cited
Detecting transient rate-tipping using Steklov averages and Lyapunov vectors
Alanna Hoyer-Leitzel, Alice Nadeau, Andrew Roberts +1
A wide variety of physical systems ranging from the firing of neurons to eutrophication of lakes to the presence of Arctic summer sea ice exhibit a phenomenon known as tipping. In…