Buch, Englisch, Band 5, 91 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1708 g
Reihe: Frontiers in Applied Dynamical Systems: Reviews and Tutorials
Buch, Englisch, Band 5, 91 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1708 g
Reihe: Frontiers in Applied Dynamical Systems: Reviews and Tutorials
ISBN: 978-3-319-32215-5
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
Weitere Infos & Material
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.
