Lecture Notes in Computational Science and Engineering

Model Reduction and Data Analysis

By: Alexander N. Gorban (Editor), Dirk Roose (Editor)

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Hardcover | 25 October 2010

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368 Pages

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23.5 x 15.24 x 1.91

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This volume contains the extended version of selected talks given at the international research workshop "Coping with Complexity: Model Reduction and Data Analysis", Ambleside, UK, August 31 - September 4, 2009. The book is deliberately broad in scope and aims at promoting new ideas and methodological perspectives. The topics of the chapters range from theoretical analysis of complex and multiscale mathematical models to applications in e.g., fluid dynamics and chemical kinetics.

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Averaging of Fast-Slow Systems	p. 1
The Use of Global Sensitivity Methods for the Analysis, Evaluation and Improvement of Complex Modelling Systems	p. 9
Optimisation and Linear Control of Large Scale Nonlinear Systems: A Review and a Suite of Model Reduction-Based Techniques	p. 37
Universal Algorithms, Mathematics of Semirings and Parallel Computations	p. 63
Scaling Invariant Interpolation for Singularly Perturbed Vector Fields (SPVF)	p. 91
Think Globally, Move Locally: Coarse Graining of Effective Free Energy Surfaces	p. 113
Extracting Functional Dependence from Sparse Data Using Dimensionality Reduction: Application to Potential Energy Surface Construction	p. 133
A Multilevel Algorithm to Compute Steady States of Lattice Boltzmann Models	p. 151
Time Step Expansions and the Invariant Manifold Approach to Lattice Boltzmann Models	p. 169
The Shock Wave Problem Revisited: The Navier-Stokes Equations and Brenner's Two Velocity Hydrodynamics	p. 207
Adaptive Simplification of Complex Systems: A Review of the Relaxation-Redistribution Approach	p. 231
Geometric Criteria for Model Reduction in Chemical Kinetics via Optimization of Trajectories	p. 241
Computing Realizations of Reaction Kinetic Networks with Given Properties	p. 253
A Drift-Filtered Approach to Diffusion Estimation for Multiscale Processes	p. 269
Model Reduction of a Higher-Order KdV Equation for Shallow Water Waves	p. 287
Coarse Collective Dynamics of Animal Groups	p. 299
Self-Simplification in Darwin's Systems	p. 311
Author Index	p. 345
Subject Index	p. 347
Table of Contents provided by Ingram. All Rights Reserved.

Lecture Notes in Computational Science and Engineering

Model Reduction and Data Analysis

At a Glance

Hardcover

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How to return your order

Defective items

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