Overview
- Dealing with systems with many degrees of freedom and how they can be mathematically described in a way to manage the variety, this book explains how macroscopic properties arise from microscopic and nano-properties.
- Includes supplementary material: sn.pub/extras
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Table of contents (24 chapters)
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Computation of Invariant Manifolds
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Coarse-Graining and Ideas of Statistical Physics
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Kinetics and Model Reduction
Keywords
About this book
Model reduction and coarse-graining are important in many areas of science and engineering. How does a system with many degrees of freedom become one with fewer? How can a reversible micro-description be adapted to the dissipative macroscopic model? These crucial questions, as well as many other related problems, are discussed in this book. Specific areas of study include dynamical systems, non-equilibrium statistical mechanics, kinetic theory, hydrodynamics and mechanics of continuous media, (bio)chemical kinetics, nonlinear dynamics, nonlinear control, nonlinear estimation, and particulate systems from various branches of engineering. The generic nature and the power of the pertinent conceptual, analytical and computational frameworks helps eliminate some of the traditional language barriers, which often unnecessarily impede scientific progress and the interaction of researchers between disciplines such as physics, chemistry, biology, applied mathematics and engineering. All contributions are authored by experts, whose specialities span a wide range of fields within science and engineering.
Editors and Affiliations
Bibliographic Information
Book Title: Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena
Editors: Alexander N. Gorban, Ioannis G. Kevrekidis, Constantinos Theodoropoulos, Nikolaos K. Kazantzis, Hans Christian Öttinger
DOI: https://doi.org/10.1007/3-540-35888-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Hardcover ISBN: 978-3-540-35885-5Published: 24 August 2006
Softcover ISBN: 978-3-642-07149-2Published: 14 October 2010
eBook ISBN: 978-3-540-35888-6Published: 22 September 2006
Edition Number: 1
Number of Pages: XI, 560
Topics: Theoretical, Mathematical and Computational Physics, Complex Systems, Engineering, general, Systems Theory, Control, Math. Applications in Chemistry, Statistical Physics and Dynamical Systems