Applied and Computational Measurable Dynamics
Erik M. Bollt, Clarkson University;
Naratip Santitissadeekorn, University of New South Wales
SIAM, 2013
ISBN: 978-1-611972-63-4;
Language: English
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. This book connects many concepts in dynamical systems with mathematical tools from areas such as graph theory and ergodic theory. The new and fast-developing computational tools discussed throughout the book allow for detailed analysis of real world problems that are simply beyond the scope of traditional methods. The authors introduce practical tools for applications related to measurable dynamical systems, coherent structures, and transport problems.
Until recently, measurable dynamics has been held as a highly theoretical mathematical topic, with few 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.
An appendix includes a set of MATLAB code files.
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