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＜電子ブック＞
Introduction to Turbulent Dynamical Systems in Complex Systems / by Andrew J. Majda
(Frontiers in Applied Dynamical Systems: Reviews and Tutorials. ISSN:23644931)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
本文言語	英語
大きさ	XI, 91 p. 9 illus. in color : online resource
著者標目	*Majda, Andrew J author SpringerLink (Online service)
件　名	LCSH:System theory LCSH:Dynamical systems LCSH:Geophysics LCSH:Continuum mechanics FREE:Complex Systems FREE:Dynamical Systems FREE:Geophysics FREE:Continuum Mechanics
一般注記	Introduction -- 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 This 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 HTTP:URL=https://doi.org/10.1007/978-3-319-32217-9

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