Introduction to Turbulent Dynamical Systems in Complex Systems:
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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham
Springer International Publishing
2016
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| Schriftenreihe: | Frontiers in Applied Dynamical Systems: Reviews and Tutorials
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| Schlagworte: | |
| Zusammenfassung: | 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 9783319322155 |
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| 520 | 1 | |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 | |
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Datensatz im Suchindex
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| series2 | Frontiers in Applied Dynamical Systems: Reviews and Tutorials |
| spelling | Majda, Andrew 1949- Verfasser (DE-588)135598788 aut Introduction to Turbulent Dynamical Systems in Complex Systems by Andrew J. Majda Cham Springer International Publishing 2016 txt rdacontent n rdamedia nc rdacarrier Frontiers in Applied Dynamical Systems: Reviews and Tutorials 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 Mathematik Mathematics Geophysics Dynamics Ergodic theory System theory Fluids |
| spellingShingle | Majda, Andrew 1949- Introduction to Turbulent Dynamical Systems in Complex Systems Mathematik Mathematics Geophysics Dynamics Ergodic theory System theory Fluids |
| title | Introduction to Turbulent Dynamical Systems in Complex Systems |
| title_auth | Introduction to Turbulent Dynamical Systems in Complex Systems |
| title_exact_search | Introduction to Turbulent Dynamical Systems in Complex Systems |
| title_full | Introduction to Turbulent Dynamical Systems in Complex Systems by Andrew J. Majda |
| title_fullStr | Introduction to Turbulent Dynamical Systems in Complex Systems by Andrew J. Majda |
| title_full_unstemmed | Introduction to Turbulent Dynamical Systems in Complex Systems by Andrew J. Majda |
| title_short | Introduction to Turbulent Dynamical Systems in Complex Systems |
| title_sort | introduction to turbulent dynamical systems in complex systems |
| topic | Mathematik Mathematics Geophysics Dynamics Ergodic theory System theory Fluids |
| topic_facet | Mathematik Mathematics Geophysics Dynamics Ergodic theory System theory Fluids |
| work_keys_str_mv | AT majdaandrew introductiontoturbulentdynamicalsystemsincomplexsystems |