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Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena

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Table of Contents

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    Book Overview
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    Chapter 1 A New Model Reduction Method for Nonlinear Dynamical Systems Using Singular PDE Theory
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    Chapter 2 A Versatile Algorithm for Computing Invariant Manifolds
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    Chapter 3 Covering an Invariant Manifold with Fat Trajectories
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    Chapter 4 “Ghost” ILDM-Manifolds and Their Identification
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    Chapter 5 Dynamic Decomposition of ODE Systems: Application to Modelling of Diesel Fuel Sprays
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    Chapter 6 Model Reduction of Multiple Time Scale Processes in Non-standard Singularly Perturbed Form
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    Chapter 7 Basic Types of Coarse-Graining
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    Chapter 8 Renormalization Group Methods for Coarse-Graining of Evolution Equations
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    Chapter 9 A Stochastic Process Behind Boltzmann’s Kinetic Equation and Issues of Coarse Graining
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    Chapter 10 Finite Difference Patch Dynamics for Advection Homogenization Problems
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    Chapter 11 Coarse-Graining the Cyclic Lotka-Volterra Model: SSA and Local Maximum Likelihood Estimation
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    Chapter 12 Relations Between Information Theory, Robustness and Statistical Mechanics of Stochastic Uncertain Systems via Large Deviation Theory
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    Chapter 13 Exactly Reduced Chemical Master Equations
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    Chapter 14 Model Reduction in Kinetic Theory
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    Chapter 15 Novel Trajectory Based Concepts for Model and Complexity Reduction in (Bio)Chemical Kinetics
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    Chapter 16 Dynamics of the Plasma Sheath
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    Chapter 17 Construction of Stochastic PDEs and Predictive Control of Surface Roughness in Thin Film Deposition
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    Chapter 18 Lattice Boltzmann Method and Kinetic Theory
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    Chapter 19 Numerical and Analytical Spatial Coupling of a Lattice Boltzmann Model and a Partial Differential Equation
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    Chapter 20 Modelling and Control Considerations for Particle Populations in Particulate Processes Within a Multi-Scale Framework
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    Chapter 21 Diagnostic Goal-Driven Reduction of Multiscale Process Models
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    Chapter 22 Understanding Macroscopic Heat/Mass Transfer Using Meso- and Macro-Scale Simulations
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    Chapter 23 An Efficient Optimization Approach for Computationally Expensive Timesteppers Using Tabulation
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    Chapter 24 Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena
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Title
Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena
Published by
Springer-Verlag Berlin Heidelberg, January 2006
DOI 10.1007/3-540-35888-9
ISBNs
978-3-54-035885-5, 978-3-54-035888-6
Authors

Gorban, Alexander N, Kevrekidis, Ioannis G, Theodoropoulos, Constantinos, Kazantzis, Nikolaos K, Öttinger, Hans Christian

Editors

Gorban, Alexander N., Kevrekidis, Ioannis G., Theodoropoulos, Constantinos, Kazantzis, Nikolaos K., Öttinger, Hans Christian

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 71 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Switzerland 2 3%
Luxembourg 1 1%
United States 1 1%
Unknown 67 94%

Demographic breakdown

Readers by professional status Count As %
Researcher 25 35%
Student > Ph. D. Student 11 15%
Student > Master 8 11%
Professor 6 8%
Student > Doctoral Student 5 7%
Other 7 10%
Unknown 9 13%
Readers by discipline Count As %
Engineering 15 21%
Mathematics 8 11%
Physics and Astronomy 6 8%
Computer Science 5 7%
Chemical Engineering 5 7%
Other 14 20%
Unknown 18 25%