Dynamically learning the parameters of a chaotic system using partial observations
Motivated by recent progress in data assimilation, we develop an algorithm to dynamically
learn the parameters of a chaotic system from partial observations. Under reasonable …
learn the parameters of a chaotic system from partial observations. Under reasonable …
Super-Exponential Convergence Rate of a Nonlinear Continuous Data Assimilation Algorithm: The 2D Navier–Stokes Equation Paradigm
We study a nonlinear-nudging modification of the Azouani–Olson–Titi continuous data
assimilation (downscaling) algorithm for the 2D incompressible Navier–Stokes equations …
assimilation (downscaling) algorithm for the 2D incompressible Navier–Stokes equations …
The bleeps, the sweeps, and the creeps: convergence rates for dynamic observer patterns via data assimilation for the 2D Navier–Stokes equations
We adapt a continuous data assimilation scheme, known as the Azouani–Olson–Titi (AOT)
algorithm, to the case of moving observers for the 2D incompressible Navier–Stokes …
algorithm, to the case of moving observers for the 2D incompressible Navier–Stokes …
The second-best way to do sparse-in-time continuous data assimilation: Improving convergence rates for the 2D and 3D Navier-Stokes equations
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 …
Azouani-Olson-Titi data assimilation algorithm. We propose a new method which introduces …
Application of continuous data assimilation in high-resolution ocean modeling
A Larios, MR Petersen, C Victor - arXiv preprint arXiv:2308.02705, 2023 - arxiv.org
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 …
implementation of the primitive equations of the ocean, presenting global ocean simulations …
Nonlinear continuous data assimilation
We introduce three new nonlinear continuous data assimilation algorithms. These models
are compared with the linear continuous data assimilation algorithm introduced by Azouani …
are compared with the linear continuous data assimilation algorithm introduced by Azouani …
[HTML][HTML] Finite time synchronization of the continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back and forth nudging techniques
YC Peng, LC Wu, MC Shiue - Results in Applied Mathematics, 2023 - Elsevier
In this work, we numerically and theoretically study the finite time synchronization of the
continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back …
continuous/discrete data assimilation algorithms for Lorenz 63 system based on the back …
Hybrid data assimilation techniques using the adjoint method in a coupled Lorenz system
PD Kennedy, A Banerjee, A Köhl… - arXiv preprint arXiv …, 2024 - arxiv.org
A hybrid 4D-variational data assimilation method for numerical climate models is introduced
using the Lorenz'63 model. This new approach has the potential to optimise a high …
using the Lorenz'63 model. This new approach has the potential to optimise a high …
Recovery of Turbulent Fluids With Continuous Data Assimilation: Enhancing Results Through Effective Observation and Assimilation
C Victor - 2023 - search.proquest.com
In this thesis, I investigate a computationally efficient algorithm for data assimilation in
recovering solutions to turbulent fluids, specifically the Azouani-Olson-Titi continuous data …
recovering solutions to turbulent fluids, specifically the Azouani-Olson-Titi continuous data …
A Sensitivity Equation Framework for Parameter Estimation in Dynamical Systems
J Newey - 2024 - scholarsarchive.byu.edu
We present a new framework for understanding parameter estimation in dynamical systems.
The approach is developed within the modeling approach of continuous data assimilation …
The approach is developed within the modeling approach of continuous data assimilation …