18 citations · 25 across the 7 of their papers we have counts for
Showing 2023 · math.APShow all
3 papers · 2 filters
math.AP2023
Application of Continuous Data Assimilation in High-Resolution Ocean Modeling
Adam Larios, Mark R. Petersen, Collin Victor
We demonstrate a formulation of the Azouani-Olson-Titi (AOT) algorithm in the MPAS-Ocean implementation of the primitive equations of the ocean, presenting global ocean simulations…
math.AP2023
Continuous Data Assimilation for the 3D and Higher-Dimensional Navier--Stokes equations with Higher-Order Fractional Diffusion
Adam Larios, Collin Victor
We study the use of the Azouani-Olson-Titi (AOT) continuous data assimilation algorithm to recover solutions of the Navier--Stokes equations modified to have higher-order fractiona…
math.AP2023★ 1 cited
The second-best way to do sparse-in-time continuous data assimilation: Improving convergence rates for the 2D and 3D Navier-Stokes equations
Adam Larios, Yuan Pei, Collin Victor
We study different approaches to implementing sparse-in-time observations into the the Azouani-Olson-Titi data assimilation algorithm. We propose a new method which introduces a "d…