Current Challenges in Stability Issues for Numerical Differential Equations

Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi

  • Wolf-Jürgen Beyn
  • Luca Dieci
  • Nicola Guglielmi
  • Ernst Hairer
  • Jesús María Sanz-Serna
  • Marino Zennaro

Part of the Lecture Notes in Mathematics book series (LNM, volume 2082)

Also part of the C.I.M.E. Foundation Subseries book sub series (LNMCIME, volume 2082)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Wolf-Jürgen Beyn, Denny Otten, Jens Rottmann-Matthes
    Pages 89-172
  3. Luca Dieci, Alessandra Papini, Alessandro Pugliese, Alessandro Spadoni
    Pages 173-264
  4. Nicola Guglielmi, Marino Zennaro
    Pages 265-313
  5. Back Matter
    Pages 315-316

About this book


This volume addresses some of the research areas in the general field of stability studies for differential equations, with emphasis on issues of concern for numerical studies.

Topics considered include: (i) the long time integration of Hamiltonian Ordinary DEs and highly oscillatory systems, (ii) connection between stochastic DEs and geometric integration using the Markov chain Monte Carlo method, (iii) computation of dynamic patterns in evolutionary partial DEs, (iv) decomposition of matrices depending on parameters and localization of singularities, and (v) uniform stability analysis for time dependent linear initial value problems of ODEs.

The problems considered in this volume are of interest to people working on numerical as well as qualitative aspects of differential equations, and it will serve both as a reference and as an entry point into further research.


Geometric Integration Numerical Analysis Parameter Dependent Matrices Pattern Formation Stability

Authors and affiliations

  • Wolf-Jürgen Beyn
    • 1
  • Luca Dieci
    • 2
  • Nicola Guglielmi
    • 3
  • Ernst Hairer
    • 4
  • Jesús María Sanz-Serna
    • 5
  • Marino Zennaro
    • 6
  1. 1.Department of MathematicsUniversity of BielefeldBielefeldGermany
  2. 2.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA
  3. 3.Dipartimento di Ingegneria, Scienze Info MatematicaUniversità dell'AquilaL'AquilaItaly
  4. 4.Université de Genève Section de mathématiquesGenève 4Switzerland
  5. 5.Departamento de Matemática AplicadaUniversidad de ValladolidValladolidSpain
  6. 6.Dipartimento di Matematica e GeoscienzeUniversità di TriesteTriesteItaly

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-01299-5
  • Online ISBN 978-3-319-01300-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book