Discrete-time formulations as time discretization strategies in data assimilation
P Moireau - Handbook of Numerical Analysis, 2023 - Elsevier
Data assimilation combines control theory and scientific computing to propose a set of
methods for coupling dynamic models and data sequences for estimation and prediction in …
methods for coupling dynamic models and data sequences for estimation and prediction in …
Data assimilation algorithms for numerical models
To understand and predict the behavior of a system one can use measurements or one can
develop physically based numerical models. In many applications however neither of these …
develop physically based numerical models. In many applications however neither of these …
Deterministic and stochastic aspects of data assimilation
S Akella - 2006 - search.proquest.com
The principles of optimal control of distributed parameter systems are used to derive a
powerful class of numerical methods for solutions of inverse problems, called data …
powerful class of numerical methods for solutions of inverse problems, called data …
Data assimilation
A central research challenge for the mathematical sciences in the twenty-first century is the
development of principled methodologies for the seamless integration of (often vast) data …
development of principled methodologies for the seamless integration of (often vast) data …
Continuous data assimilation using general interpolant observables
A Azouani, E Olson, ES Titi - Journal of Nonlinear Science, 2014 - Springer
We present a new continuous data assimilation algorithm based on ideas that have been
developed for designing finite-dimensional feedback controls for dissipative dynamical …
developed for designing finite-dimensional feedback controls for dissipative dynamical …
[HTML][HTML] A data assimilation framework that uses the Kullback-Leibler divergence
S Pimentel, Y Qranfal - Plos one, 2021 - journals.plos.org
The process of integrating observations into a numerical model of an evolving dynamical
system, known as data assimilation, has become an essential tool in computational science …
system, known as data assimilation, has become an essential tool in computational science …
Data assimilation: Mathematical and statistical perspectives
The bulk of this paper contains a concise mathematical overview of the subject of data
assimilation, highlighting three primary ideas:(i) the standard optimization approaches of …
assimilation, highlighting three primary ideas:(i) the standard optimization approaches of …
Numerical linear algebra in data assimilation
MA Freitag - GAMM‐Mitteilungen, 2020 - Wiley Online Library
Data assimilation is a method that combines observations (ie, real world data) of a state of a
system with model output for that system in order to improve the estimate of the state of the …
system with model output for that system in order to improve the estimate of the state of the …
[图书][B] Dynamic data assimilation: a least squares approach
JM Lewis, S Lakshmivarahan, S Dhall - 2006 - books.google.com
Dynamic data assimilation is the assessment, combination and synthesis of observational
data, scientific laws and mathematical models to determine the state of a complex physical …
data, scientific laws and mathematical models to determine the state of a complex physical …
Analysis of continuous data assimilation with large (or even infinite) nudging parameters
AE Diegel, X Li, LG Rebholz - Journal of Computational and Applied …, 2024 - Elsevier
This paper considers continuous data assimilation (CDA) in partial differential equation
(PDE) discretizations where nudging parameters can be taken arbitrarily large. We prove …
(PDE) discretizations where nudging parameters can be taken arbitrarily large. We prove …