Semi-discretization

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

Abstract

Stability analysis of DDEs with time-periodic coefficients requires the analysis of the eigenvalues of the infinite-dimensional monodromy operator. Generally, stability conditions cannot be given as closed-form functions of the system parameters (the delayed Mathieu equation in Section 2.4 is an exception), but numerical approximations can be used to derive stability properties. Semi-discretization is an efficient numerical method that provides a finite-dimensional matrix approximation of the infinite-dimensional monodromy matrix. This chapter presents the main concept of the semi-discretization method for general linear time-periodic DDEs following [123, 73, 126, 101, 133].

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
PublisherSpringer
Pages39-71
Number of pages33
DOIs
Publication statusPublished - Jan 1 2011

Publication series

NameApplied Mathematical Sciences (Switzerland)
Volume178
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X

Fingerprint

Semidiscretization
Monodromy
Delay Differential Equations
Mathieu Equation
Matrix Approximation
Finite-dimensional Approximation
Periodic Coefficients
Discretization Method
Convergence of numerical methods
Numerical Approximation
Stability Condition
Exception
Linear Time
Stability Analysis
Numerical methods
Closed-form
Numerical Methods
Eigenvalue
Operator
Concepts

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Insperger, T., & Stépán, G. (2011). Semi-discretization. In Applied Mathematical Sciences (Switzerland) (pp. 39-71). (Applied Mathematical Sciences (Switzerland); Vol. 178). Springer. https://doi.org/10.1007/978-1-4614-0335-7_3

Semi-discretization. / Insperger, T.; Stépán, G.

Applied Mathematical Sciences (Switzerland). Springer, 2011. p. 39-71 (Applied Mathematical Sciences (Switzerland); Vol. 178).

Research output: Chapter in Book/Report/Conference proceedingChapter

Insperger, T & Stépán, G 2011, Semi-discretization. in Applied Mathematical Sciences (Switzerland). Applied Mathematical Sciences (Switzerland), vol. 178, Springer, pp. 39-71. https://doi.org/10.1007/978-1-4614-0335-7_3
Insperger T, Stépán G. Semi-discretization. In Applied Mathematical Sciences (Switzerland). Springer. 2011. p. 39-71. (Applied Mathematical Sciences (Switzerland)). https://doi.org/10.1007/978-1-4614-0335-7_3
Insperger, T. ; Stépán, G. / Semi-discretization. Applied Mathematical Sciences (Switzerland). Springer, 2011. pp. 39-71 (Applied Mathematical Sciences (Switzerland)).
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