Introduction to Turbulent Dynamical Systems in Complex Systems

• Main Author: Majda, Andrew J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Frontiers in Applied Dynamical Systems: Reviews and Tutorials,
• Subjects: Mathematics.; Geophysics.; Dynamics.; Ergodic theory.; System theory.; Fluids.; Complex Systems.; Dynamical Systems and Ergodic Theory.; Geophysics/Geodesy.; Fluid- and Aerodynamics.

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 goa...

Table of Contents:

• 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.