C.I.M.E. Foundation Subseries

Current Challenges in Stability Issues for Numerical Differential Equations

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

Authors: Beyn, W.-J., Dieci, L., Guglielmi, N., Hairer, E., Sanz-Serna, J.M., Zennaro, M.

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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.

Table of contents (5 chapters)

  • Long-Term Stability of Symmetric Partitioned Linear Multistep Methods

    Console, Paola (et al.)

    Pages 1-37

  • Markov Chain Monte Carlo and Numerical Differential Equations

    Sanz-Serna, J. M.

    Pages 39-88

  • Stability and Computation of Dynamic Patterns in PDEs

    Beyn, Wolf-Jürgen (et al.)

    Pages 89-172

  • Continuous Decompositions and Coalescing Eigenvalues for Matrices Depending on Parameters

    Dieci, Luca (et al.)

    Pages 173-264

  • Stability of Linear Problems: Joint Spectral Radius of Sets of Matrices

    Guglielmi, Nicola (et al.)

    Pages 265-313

Buy this book

eBook $44.99
price for USA (gross)
  • ISBN 978-3-319-01300-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $59.99
price for USA
  • ISBN 978-3-319-01299-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Current Challenges in Stability Issues for Numerical Differential Equations
Book Subtitle
Cetraro, Italy 2011, Editors: Luca Dieci, Nicola Guglielmi
Authors
Series Title
C.I.M.E. Foundation Subseries
Series Volume
2082
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-01300-8
DOI
10.1007/978-3-319-01300-8
Softcover ISBN
978-3-319-01299-5
Edition Number
1
Number of Pages
IX, 313
Number of Illustrations and Tables
16 b/w illustrations, 105 illustrations in colour
Topics