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Applied and Computational Measurable Dynamics (Mathematical Modeling and Computation)

Bollt, Erik M.; Santitissadeekorn, Naratip

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ISBN 10: 1611972639 / ISBN 13: 9781611972634
Published by SIAM-Society for Industrial and Applied Mathematics
Used Condition: Very Good Soft cover
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Bibliographic Details

Title: Applied and Computational Measurable ...

Publisher: SIAM-Society for Industrial and Applied Mathematics


Book Condition:Very Good

About this title


Until recently, measurable dynamics has been held as a highly theoretcal mathematical topic with few generally known obvious links for practitioners in areas of applied mathematics. However, the advent of high-speed computers, rapidly developing algorithms, and new numerical methods has allowed for a tremendous amount of progress and sophistication in efforts to represent the notion of a transfer operator discretely but to high resolution.

This book connects many concepts in dynamical systems with mathematical tools from areas such as graph theory and ergodic theory. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures, and transport problems.

The new and fast-developing computational tools discussed throughout the book allow for detailed analysis of real-world problems that are simply beyond the reach of traditional methods.

Audience: Applied and Computational Measurable Dynamics is intended for advanced undergraduate and graduate students and researchers in applied dynamical systems, computational ergodic theory, geosciences, and fluid dynamics. Contents Chapter 1: Dynamical Systems, Ensembles, and Transfer Operators; Chapter 2: Dynamical Systems Terminology and Definitions; Chapter 3: Frobenius-Perron Operator and Infintesimal Generator; Chapter 4: Graph Theoretic Methods and Markov Models of Dynamical Transport; Chapter 5: Graph Partition Methods and Their Relationship to Transport in Dynamical Systems; Chapter 6: The Topological Dynamics Perspective of Symbol Dynamics; Chapter 7: Transport Mechanism, Lobe Dynamics, Flux Rates, and Escape; Chapter 8: Finite Time Lyapunov Exponents; Chapter 9: Information Theory in Dynamical Systems; Appendix A: Computation, Codes, and Computational Complexity; Bibliography; Index

Book Description:

Due to recent advances in computing, measurable dynamics has gone from being a purely theoretical topic to one with deep significance in applied mathematics. This book is a guide to applied aspects of measurable dynamical systems, coherent structures, and transport problems accessible at the advanced undergraduate level and above.

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