Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena
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 rel...
| Other Authors: | , , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2006, 2006
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| Edition: | 1st ed. 2006 |
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- An Efficient Optimization Approach for Computationally Expensive Timesteppers Using Tabulation
- A Reduced Input/Output Dynamic Optimisation Method for Macroscopic and Microscopic Systems
- Relations Between Information Theory, Robustness and Statistical Mechanics of Stochastic Uncertain Systems via Large Deviation Theory
- Kinetics and Model Reduction
- Exactly Reduced Chemical Master Equations
- Model Reduction in Kinetic Theory
- Novel Trajectory Based Concepts for Model and Complexity Reduction in (Bio)Chemical Kinetics
- Dynamics of the Plasma Sheath
- Mesoscale and Multiscale Modeling
- Construction of Stochastic PDEs and Predictive Control of Surface Roughness in Thin Film Deposition
- Lattice Boltzmann Method and Kinetic Theory
- Numerical and Analytical Spatial Coupling of a Lattice Boltzmann Model and a Partial Differential Equation
- Modelling and Control Considerations for Particle Populations in Particulate Processes Within a Multi-Scale Framework
- Diagnostic Goal-Driven Reduction of Multiscale Process Models
- Understanding Macroscopic Heat/Mass Transfer Using Meso-and Macro-Scale Simulations
- Computation of Invariant Manifolds
- A New Model Reduction Method for Nonlinear Dynamical Systems Using Singular PDE Theory
- A Versatile Algorithm for Computing Invariant Manifolds
- Covering an Invariant Manifold with Fat Trajectories
- “Ghost” ILDM-Manifolds and Their Identification
- Dynamic Decomposition of ODE Systems: Application to Modelling of Diesel Fuel Sprays
- Model Reduction of Multiple Time Scale Processes in Non-standard Singularly Perturbed Form
- Coarse-Graining and Ideas of Statistical Physics
- Basic Types of Coarse-Graining
- Renormalization Group Methods for Coarse-Graining of Evolution Equations
- A Stochastic Process Behind Boltzmann’s Kinetic Equation and Issues of Coarse Graining
- Finite Difference Patch Dynamics for Advection Homogenization Problems
- Coarse-Graining the Cyclic Lotka-Volterra Model: SSA and Local Maximum Likelihood Estimation