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Erschienen in:
Mathematical Background Kapitel lesen Erstes Kapitel lesen

2015 | OriginalPaper | Buchkapitel

2. Discrete Time: Formulation

verfasst von : Kody Law, Andrew Stuart, Konstantinos Zygalakis

Erschienen in: Data Assimilation

Verlag: Springer International Publishing

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Abstract

In this chapter, we introduce the mathematical framework for discrete-time data assimilation. Section 2.1 describes the mathematical models we use for the underlying signal, which we wish to recover, and for the data, which we use for the recovery.

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Vorheriges Kapitel Mathematical Background
Nächstes Kapitel Discrete Time: Smoothing Algorithms
Anhänge
Nur mit Berechtigung zugänglich
Fußnoten
1
Here the use of \(v =\{ v(t)\}_{t\geq 0}\) for the solution of this equation should be distinguished from our use of \(v =\{ v_{j}\}_{j=0}^{\infty }\) for the solution of (2.1).
 
2
Here the index denotes components of the solution, not discrete time.
 
3
Again, here the index denotes components of the solution, not discrete time.
 
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Metadaten
Titel
Discrete Time: Formulation
verfasst von
Kody Law
Andrew Stuart
Konstantinos Zygalakis
Copyright-Jahr
2015
Buch
Data Assimilation

Print ISBN: 978-3-319-20324-9

Electronic ISBN: 978-3-319-20325-6

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-3-319-20325-6_2