國立虎尾科技大學 |

Introduction to Turbulent Dynamical Systems in Complex Systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Introduction to Turbulent Dynamical Systems in Complex Systems/ by Andrew J. Majda.
Author:	Majda, Andrew J.
Description:	XI, 91 p. 9 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	System theory. -
Online resource:	https://doi.org/10.1007/978-3-319-32217-9
ISBN:	9783319322179

Introduction to Turbulent Dynamical Systems in Complex Systems
Majda, Andrew J.

Introduction to Turbulent Dynamical Systems in Complex Systems[electronic resource] /by Andrew J. Majda. - 1st ed. 2016. - XI, 91 p. 9 illus. in color.online resource. - Frontiers in Applied Dynamical Systems: Reviews and Tutorials,2364-4532. - Frontiers in Applied Dynamical Systems: Reviews and Tutorials,1.

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.

ISBN: 9783319322179

Standard No.: 10.1007/978-3-319-32217-9doiSubjects--Topical Terms:

566168
System theory.

LC Class. No.: Q295

Dewey Class. No.: 519

Introduction to Turbulent Dynamical Systems in Complex Systems
LDR:03034nam a22003975i 4500 001 980211
003 DE-He213
005 20200701044703.0
007 cr nn 008mamaa
008 201211s2016 gw | s |||| 0|eng d
020 $a 9783319322179 $9 978-3-319-32217-9
024 7 $a 10.1007/978-3-319-32217-9 $2 doi
035 $a 978-3-319-32217-9
050 4 $a Q295
072 7 $a PBW $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBW $2 thema
082 0 4 $a 519 $2 23
100 1 $a Majda, Andrew J. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 686839
245 1 0 $a Introduction to Turbulent Dynamical Systems in Complex Systems $h [electronic resource] / $c by Andrew J. Majda.
250 $a 1st ed. 2016.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a XI, 91 p. 9 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Frontiers in Applied Dynamical Systems: Reviews and Tutorials, $x 2364-4532
505 0 $a 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.
520 $a 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.
650 0 $a System theory. $3 566168
650 0 $a Dynamics. $3 592238
650 0 $a Ergodic theory. $3 672355
650 0 $a Geophysics. $3 686174
650 0 $a Fluids. $3 671110
650 1 4 $a Complex Systems. $3 888664
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Geophysics/Geodesy. $3 668510
650 2 4 $a Fluid- and Aerodynamics. $3 768779
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319322155
776 0 8 $i Printed edition: $z 9783319322162
830 0 $a Frontiers in Applied Dynamical Systems: Reviews and Tutorials, $x 2364-4532 ; $v 1 $3 1258941
856 4 0 $u https://doi.org/10.1007/978-3-319-32217-9
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)