Coping with Complexity: Model Reduction and Data Analysis

Editors:

ISBN: 978-3-642-14940-5 (Print) 978-3-642-14941-2 (Online)

Table of contents (17 chapters)

  1. Front Matter

    Pages i-xii

  2. No Access

    Book Chapter

    Pages 1-7

    Averaging of Fast-Slow Systems

  3. No Access

    Book Chapter

    Pages 9-36

    The Use of Global Sensitivity Methods for the Analysis, Evaluation and Improvement of Complex Modelling Systems

  4. No Access

    Book Chapter

    Pages 37-61

    Optimisation and Linear Control of Large Scale Nonlinear Systems: A Review and a Suite of Model Reduction-Based Techniques

  5. No Access

    Book Chapter

    Pages 63-89

    Universal Algorithms, Mathematics of Semirings and Parallel Computations

  6. No Access

    Book Chapter

    Pages 91-111

    Scaling Invariant Interpolation for Singularly Perturbed Vector Fields (SPVF)

  7. No Access

    Book Chapter

    Pages 113-131

    Think Globally, Move Locally: Coarse Graining of Effective Free Energy Surfaces

  8. No Access

    Book Chapter

    Pages 133-149

    Extracting Functional Dependence from Sparse Data Using Dimensionality Reduction: Application to Potential Energy Surface Construction

  9. No Access

    Book Chapter

    Pages 151-167

    A Multilevel Algorithm to Compute Steady States of Lattice Boltzmann Models

  10. No Access

    Book Chapter

    Pages 169-205

    Time Step Expansions and the Invariant Manifold Approach to Lattice Boltzmann Models

  11. No Access

    Book Chapter

    Pages 207-229

    The Shock Wave Problem Revisited: The Navier–Stokes Equations and Brenner’s Two Velocity Hydrodynamics

  12. No Access

    Book Chapter

    Pages 231-240

    Adaptive Simplification of Complex Systems: A Review of the Relaxation-Redistribution Approach

  13. No Access

    Book Chapter

    Pages 241-252

    Geometric Criteria for Model Reduction in Chemical Kinetics via Optimization of Trajectories

  14. No Access

    Book Chapter

    Pages 253-267

    Computing Realizations of Reaction Kinetic Networks with Given Properties

  15. No Access

    Book Chapter

    Pages 269-286

    A Drift-Filtered Approach to Diffusion Estimation for Multiscale Processes

  16. No Access

    Book Chapter

    Pages 287-298

    Model Reduction of a Higher-Order KdV Equation for Shallow Water Waves

  17. No Access

    Book Chapter

    Pages 299-309

    Coarse Collective Dynamics of Animal Groups

  18. No Access

    Book Chapter

    Pages 311-344

    Self-Simplification in Darwin’s Systems

  19. Back Matter

    Pages 345-348