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Control Operators and Fundamental Control Functions in Data Assimilation

  • Conference paper
Data Assimilation for the Earth System

Part of the book series: NATO Science Series ((NAIV,volume 26))

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Abstract

Consider mathematical model of a physical pro cess that is described by the evolution problem

$$ \left\{ {\begin{array}{*{20}c} {\frac{{d\phi }} {{dt}} + A(t)\phi = f,t \in (0,T)} \\ {\phi \left| {_{t = 0} = u,} \right.} \\ \end{array} } \right. $$
((1.1))

where ϕ = ϕ(t) is the unknown function belonging for any A(t) is an operatior (generally, non linear) acting for each t in the Hilbert space X, u ∈ X, and f = f(t) is a prescribed function.

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Author information

Authors and Affiliations

  1. Institute of Numerical Mathematics, Russian Academy of Sciences, Gubkina 8, 119991, GSP-1, Moscow, Russia

    V. Shutyaev

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  1. V. Shutyaev
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Editor information

Editors and Affiliations

  1. Met Office, Bracknell, UK

    Richard Swinbank

  2. Institute of Numerical Mathematics, Russian Academy of Sciences, Moscow, Russia

    Victor Shutyaev

  3. Data Assimilation Research Centre, University of Reading, Reading, UK

    William Albert Lahoz

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© 2003 Springer Science+Business Media Dordrecht

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Shutyaev, V. (2003). Control Operators and Fundamental Control Functions in Data Assimilation. In: Swinbank, R., Shutyaev, V., Lahoz, W.A. (eds) Data Assimilation for the Earth System. NATO Science Series, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0029-1_5

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  • DOI: https://doi.org/10.1007/978-94-010-0029-1_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-1593-9

  • Online ISBN: 978-94-010-0029-1

  • eBook Packages: Springer Book Archive

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