Text

Stability of Linear Delay Differential Equations

---

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.

---

Availability

No copy data

Detail Information

Series Title

-

Call Number

-

Publisher

: ., 2014

Collation

-

Language

English

ISBN/ISSN

9781493921072

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

-

Edition

-

Subject(s)

Differential

Specific Detail Info

-

Statement of Responsibility

Dimitri Breda, Stefano Maset

Other Information

Cataloger

Suwardi

Source

https://www.kobo.com/us/en/ebook/stability-of-linear-delay-differential-equations

Validator

-

Other version/related

File Attachment

Comments

---

You must be logged in to post a comment