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Stability of Linear Delay Differential Equations - A Numerical Approach with MATLAB (Paperback, 2015 ed.)
Loot Price: R2,092
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Stability of Linear Delay Differential Equations - A Numerical Approach with MATLAB (Paperback, 2015 ed.)
Series: SpringerBriefs in Electrical and Computer Engineering
Expected to ship within 10 - 15 working days
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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.
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