Coping with Complexity: Model Reduction and Data Analysis (eBook)

Alexander N. Gorban, Dirk Roose (Herausgeber)

eBook Download: PDF

2010 | 2011
XII, 356 Seiten
Springer Berlin (Verlag)
978-3-642-14941-2 (ISBN)

Infos

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.

Inhalt

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

Produkt-Details

• Erscheint lt. Verlag: 21.10.2010
• Reihe/Serie: Lecture Notes in Computational Science and Engineering
• Reihe/Serie: Lecture Notes in Computational Science and Engineering
• Zusatzinfo: XII, 356 p. 86 illus.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Statistik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Naturwissenschaften ► Chemie
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• Schlagworte: asymptotics • dimensionality reduction • invariant manifolds • Kinetics • Model Reduction • singular perturbation
• ISBN-10: 3-642-14941-3 / 3642149413
• ISBN-13: 978-3-642-14941-2 / 9783642149412