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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2006.
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| Edición: | 1st ed. 2006. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-35888-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220116020513.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 gw | s |||| 0|eng d | ||
| 020 | |a 9783540358886 |9 978-3-540-35888-6 | ||
| 024 | 7 | |a 10.1007/3-540-35888-9 |2 doi | |
| 050 | 4 | |a QC19.2-20.85 | |
| 072 | 7 | |a PHU |2 bicssc | |
| 072 | 7 | |a SCI040000 |2 bisacsh | |
| 072 | 7 | |a PHU |2 thema | |
| 082 | 0 | 4 | |a 530.1 |2 23 |
| 245 | 1 | 0 | |a Model Reduction and Coarse-Graining Approaches for Multiscale Phenomena |h [electronic resource] / |c edited by Alexander N. Gorban, Nikolas Kazantzis, I. G. Kevrekidis, Hans Christian Öttinger, Konstantinos Theodoropoulos. |
| 250 | |a 1st ed. 2006. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2006. | |
| 300 | |a XI, 560 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Engineering. | |
| 650 | 0 | |a Control theory. | |
| 650 | 0 | |a Chemometrics. | |
| 650 | 1 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 650 | 2 | 4 | |a Complex Systems. |
| 650 | 2 | 4 | |a Technology and Engineering. |
| 650 | 2 | 4 | |a Systems Theory, Control . |
| 650 | 2 | 4 | |a Mathematical Applications in Chemistry. |
| 700 | 1 | |a Gorban, Alexander N. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Kazantzis, Nikolas. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Kevrekidis, I. G. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Öttinger, Hans Christian. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 700 | 1 | |a Theodoropoulos, Konstantinos. |e editor. |4 edt |4 http://id.loc.gov/vocabulary/relators/edt | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783540826255 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642071492 |
| 776 | 0 | 8 | |i Printed edition: |z 9783540358855 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/3-540-35888-9 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||