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Stability of Linear Delay Differential Equations: A Numerical Approach with
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Stability of Linear Delay Differential Equations: A Numerical Approach with MATLAB Paperback - 2014

by Dimitri Breda; Stefano Maset; Rossana Vermiglio

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From the publisher

This book presents the authors' recent work on the numerical methods for the stability analysis of linear autonomous and periodic delay differential equations, which consist in applying pseudospectral techniques to discretize either the solution operator or the infinitesimal generator and in using the eigenvalues of the resulting matrices to approximate the exact spectra. The purpose of the book is to provide a complete and self-contained treatment, which includes the basic underlying mathematics and numerics, examples from population dynamics and engineering applications, and Matlab programs implementing the proposed numerical methods. A number of proofs is given to furnish a solid foundation, but the emphasis is on the (unifying) idea of the pseudospectral technique for the stability analysis of DDEs. It is aimed at advanced students and researchers in applied mathematics, in dynamical systems and in various fields of science and engineering, concerned with delay systems. A relevant feature of the book is that it also provides the Matlab codes to encourage the readers to experience the practical aspects. They could use the codes to test the theory and to analyze the performances of the methods on the given examples. Moreover, they could easily modify them to tackle the numerical stability analysis of their own delay models.

Details

  • Title Stability of Linear Delay Differential Equations: A Numerical Approach with MATLAB
  • Author Dimitri Breda; Stefano Maset; Rossana Vermiglio
  • Binding Paperback
  • Pages 158
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2014-10-21
  • Illustrated Yes
  • Features Bibliography, Illustrated
  • ISBN 9781493921065 / 1493921061
  • Weight 0.55 lbs (0.25 kg)
  • Dimensions 9.21 x 6.14 x 0.37 in (23.39 x 15.60 x 0.94 cm)
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Category Science
  • Library of Congress subjects Differential equations, Linear - Numerical, Delay differential equations - Numerical
  • Library of Congress Catalogue Number 2014951724
  • Dewey Decimal Code 518
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Stability of Linear Delay Differential Equations : A Numerical Approach with MATLAB

Stability of Linear Delay Differential Equations : A Numerical Approach with MATLAB

by Dimitri Breda

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Stability of Linear Delay Differential Equations: A Numerical Approach with MATLAB
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Stability of Linear Delay Differential Equations: A Numerical Approach with MATLAB

by Breda, Dimitri (Author)/ Maset, Stefano (Author)/ Vermiglio, Rossana (Author)

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Stability of Linear Delay Differential Equations: A Numerical Approach with MATLAB

Stability of Linear Delay Differential Equations: A Numerical Approach with MATLAB

by Dimitri Breda

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9781493921065 / 1493921061
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Paperback / softback. New. This book presents the authors' recent work on the numerical methods for the stability analysis of linear autonomous and periodic delay differential equations, which consist in applying pseudospectral techniques to discretize either the solution operator or the infinitesimal generator and in using the eigenvalues of the resulting matrices to approximate the exact spectra. The purpose of the book is to provide a complete and self-contained treatment, which includes the basic underlying mathematics and numerics, examples from population dynamics and engineering applications, and Matlab programs implementing the proposed numerical methods. A number of proofs is given to furnish a solid foundation, but the emphasis is on the (unifying) idea of the pseudospectral technique for the stability analysis of DDEs. It is aimed at advanced students and researchers in applied mathematics, in dynamical systems and in various fields of science and engineering, concerned with delay systems.… Read more
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by Breda, Dimitri

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Stability of Linear Delay Differential Equations: A...
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Stability of Linear Delay Differential Equations: A...

by Vermiglio Rossana Maset Stefano Breda Dimitri

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