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010   $a3-319-32217-6
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035   $a(DE-He213)978-3-319-32217-9
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100   $a20160914d2016      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aIntroduction to turbulent dynamical systems in complex systems /$fby Andrew J. Majda
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (XI, 91 p. 9 illus. in color.)
225 1 $aFrontiers in Applied Dynamical Systems: Reviews and Tutorials,$x2364-4532
311   $a3-319-32215-X 
320   $aIncludes bibliographical references.
327   $aIntroduction -- Prototype Examples of Complex Turbulent Dynamical Systems -- The Mathematical Theory of Turbulent Dynamical Systems -- Statistical Prediction and UQ for Turbulent Dynamical Systems -- State Estimation, Data Assimilation, or Filtering for Complex Turbulent Dynamical Systems -- Finite Ensemble Kalman Filders (EnKF): Applied Practice, Mathematical Theory, and New Phenomena.
330   $aThis volume is a research expository article on the applied mathematics of turbulent dynamical systems through the paradigm of modern applied mathematics. It involves the blending of rigorous mathematical theory, qualitative and quantitative modeling, and novel numerical procedures driven by the goal of understanding physical phenomena which are of central importance to the field. The contents cover general framework, concrete examples, and instructive qualitative models. Accessible open problems are mentioned throughout. Topics covered include: · Geophysical flows with rotation, topography, deterministic and random forcing · New statistical energy principles for general turbulent dynamical systems, with applications · Linear statistical response theory combined with information theory to cope with model errors · Reduced low order models · Recent mathematical strategies for online data assimilation of turbulent dynamical systems as well as rigorous results for finite ensemble Kalman filters The volume will appeal to graduate students and researchers working mathematics, physics and engineering and particularly those in the climate, atmospheric and ocean sciences interested in turbulent dynamical as well as other complex systems.
410  0$aFrontiers in Applied Dynamical Systems: Reviews and Tutorials,$x2364-4532
606   $aSystem theory
606   $aDynamics
606   $aErgodic theory
606   $aGeophysics
606   $aFluids
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M13090
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009
606   $aFluid- and Aerodynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21026
615  0$aSystem theory.
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aGeophysics.
615  0$aFluids.
615 14$aComplex Systems.
615 24$aDynamical Systems and Ergodic Theory.
615 24$aGeophysics/Geodesy.
615 24$aFluid- and Aerodynamics.
676   $a532.0527015118
700   $aMajda$b Andrew J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0477021
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254090703321
996   $aIntroduction to turbulent dynamical systems in complex systems$91523407
997   $aUNINA