Roose Coping with Complexity: Model Reduction and Data Analysis

1. Auflage 2010
ISBN: 978-3-642-14941-2
Verlag: Springer
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 356 Seiten

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.

Autoren/Hrsg.

Roose, Dirk

Inhaltsverzeichnis

1;Coping with Complexity:Model Reduction and DataAnalysis;4
2;Preface;6
3;Contents;8
4;Contributors;10
5;Averaging of Fast-Slow Systems;14
6;The Use of Global Sensitivity Methods for the Analysis, Evaluation and Improvement of Complex Modelling Systems;21
7;Optimisation and Linear Control of Large Scale Nonlinear Systems: A Review and a Suite of Model Reduction-Based Techniques;49
8;Universal Algorithms, Mathematics of Semirings and Parallel Computations;74
9;Scaling Invariant Interpolation for Singularly Perturbed Vector Fields (SPVF);101
10;Think Globally, Move Locally: Coarse Graining of Effective Free Energy Surfaces;122
11;Extracting Functional Dependence from Sparse Data Using Dimensionality Reduction: Application to Potential Energy Surface Construction;141
12;A Multilevel Algorithm to Compute Steady States of Lattice Boltzmann Models;158
13;Time Step Expansions and the Invariant Manifold Approach to Lattice Boltzmann Models;175
14;The Shock Wave Problem Revisited: The Navier–Stokes Equations and Brenner's Two Velocity Hydrodynamics;212
15;Adaptive Simplification of Complex Systems: A Review of the Relaxation-Redistribution Approach;235
16;Geometric Criteria for Model Reduction in Chemical Kinetics via Optimization of Trajectories;245
17;Computing Realizations of Reaction Kinetic Networks with Given Properties;257
18;A Drift-Filtered Approach to Diffusion Estimation for Multiscale Processes;272
19;Model Reduction of a Higher-Order KdV Equation for Shallow Water Waves;290
20;Coarse Collective Dynamics of Animal Groups;302
21;Self-Simplification in Darwin's Systems;313
22;Author Index;347
23;Subject Index;348
24;Editorial Policy;350
25;Lecture Notesin Computational Science and Engineering;352
26;Monographs in Computational Science and Engineering;356
27;Texts in Computational Science and Engineering;356