Coping with Complexity: Model Reduction and Data Analysis

  • Alexander N. Gorban
  • Dirk Roose
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 75)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Marshall Slemrod
    Pages 1-7
  3. Grigory L. Litvinov, Victor P. Maslov, Anatoly Ya. Rodionov, Andrei N. Sobolevski
    Pages 63-89
  4. Viatcheslav Bykov, Vladimir Gol’dshtein, Ulrich Maas
    Pages 91-111
  5. Payel Das, Thomas A. Frewen, Ioannis G. Kevrekidis, Cecilia Clementi
    Pages 113-131
  6. Giovanni Samaey, Christophe Vandekerckhove, Wim Vanroose
    Pages 151-167
  7. David J. Packwood, Jeremy Levesley, Alexander N. Gorban
    Pages 169-205
  8. Dirk Lebiedz, Volkmar Reinhardt, Jochen Siehr, Jonas Unger
    Pages 241-252
  9. Gábor Szederkényi, Katalin M. Hangos, Dávid Csercsik
    Pages 253-267
  10. Tassos Bountis, Ko van der Weele, Giorgos Kanellopoulos, Kostis Andriopoulos
    Pages 287-298
  11. Thomas A. Frewen, Iain D. Couzin, Allison Kolpas, Jeff Moehlis, Ronald Coifman, Ioannis G. Kevrekidis
    Pages 299-309
  12. Alexander N. Gorban
    Pages 311-344
  13. Back Matter
    Pages 345-348

About these proceedings

Introduction

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.

Keywords

asymptotics dimensionality reduction invariant manifolds kinetics model reduction singular perturbation

Editors and affiliations

  • Alexander N. Gorban
    • 1
  • Dirk Roose
    • 2
  1. 1.Dept. MathematicsUniversity of LeicesterLeicesterUnited Kingdom
  2. 2.Dept. Computer ScienceKatholieke Universiteit LeuvenLeuvenBelgium

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-14941-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-14940-5
  • Online ISBN 978-3-642-14941-2
  • Series Print ISSN 1439-7358