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