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Applied and Computational Measurable Dynamics Click on picture to view full-size image Applied and Computational Measurable Dynamics

Erik M. Bollt and Naratip Santitissadeekorn



Mathematical Modeling and Computation 18

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.


About the Authors
Erik M. Bollt is the W. Jon Harrington Professor of Mathematics at Clarkson University, Potsdam, New York.

Naratip Santitissadeekorn was a postdoctoral fellow at University of New South Wales, Sydney, Australia, before accepting his current postdoctoral research position at Universtiy of North Carolina at Chapel Hill.



Contents
Preface
Index


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Keywords
Dynamical systems, transport theory, fluid flow, applied measurable dynamics, topological dynamics


2014 / xii + 361 pages / Softcover / 978-1-611972-63-4
List Price $89.00 / SIAM Member Price $62.30 / Order Code MM18
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