Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Gorban, Alexander N. (Επιμελητής έκδοσης), Kevrekidis, Ioannis G. (Επιμελητής έκδοσης), Theodoropoulos, Constantinos (Επιμελητής έκδοσης), Kazantzis, Nikolaos K. (Επιμελητής έκδοσης), Öttinger, Hans Christian (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Θέματα: Physics.; Chemometrics.; System theory.; Statistical physics.; Dynamical systems.; Engineering.; Theoretical, Mathematical and Computational Physics.; Statistical Physics, Dynamical Systems and Complexity.; Engineering, general.; Systems Theory, Control.; Math. Applications in Chemistry.

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...

Πίνακας περιεχομένων:

• 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
• 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
• An Efficient Optimization Approach for Computationally Expensive Timesteppers Using Tabulation
• A Reduced Input/Output Dynamic Optimisation Method for Macroscopic and Microscopic Systems.