Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena. 1st ed. 2006

種類:

電子ブック

責任表示:

edited by Alexander N. Gorban, Nikolas Kazantzis, I. G. Kevrekidis, Hans Christian Öttinger, Konstantinos Theodoropoulos

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006

著者名:

Gorban, Alexander N.

Kazantzis, Nikolas.

Kevrekidis, I. G.

Öttinger, Hans Christian.

Theodoropoulos, Konstantinos.

SpringerLink (Online service)

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ISBN:

9783540358886 [3540358889]    

注記:

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
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 ex

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