Stability of linear delay differential equations: a numerical approach with MATLAB
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2015
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| Schriftenreihe: | SpringerBriefs in electrical and computer engineering
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| Schlagworte: | |
| Online-Zugang: | DE-91 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract |
| ISBN: | 9781493921072 9781493921065 |
| DOI: | 10.1007/978-1-4939-2107-2 |
Internformat
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Datensatz im Suchindex
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| adam_text |
STABILITY OF LINEAR DELAY DIFFERENTIAL EQUATIONS
/ BREDA, DIMITRI
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
PART I: THEORY
NOTATION AND BASICS
STABILITY OF LINEAR AUTONOMOUS EQUATIONS
STABILITY OF LINEAR PERIODIC EQUATIONS
PART II: NUMERICAL ANALYSIS
THE INFINITESIMAL GENERATOR APPROACH
THE SOLUTION OPERATOR APPROACH
PART III: IMPLEMENTATION AND APPLICATIONS
MATLAB IMPLEMENTATION
APPLICATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
STABILITY OF LINEAR DELAY DIFFERENTIAL EQUATIONS
/ BREDA, DIMITRI
: 2015
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
| any_adam_object | 1 |
| author | Breda, Dimitri |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Elektrotechnik Mathematik Maschinenbau |
| doi_str_mv | 10.1007/978-1-4939-2107-2 |
| format | Electronic eBook |
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| isbn | 9781493921072 9781493921065 |
| language | English |
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| spellingShingle | Breda, Dimitri Stability of linear delay differential equations a numerical approach with MATLAB Numerische Mathematik (DE-588)4042805-9 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4199298-2 |
| title | Stability of linear delay differential equations a numerical approach with MATLAB |
| title_auth | Stability of linear delay differential equations a numerical approach with MATLAB |
| title_exact_search | Stability of linear delay differential equations a numerical approach with MATLAB |
| title_full | Stability of linear delay differential equations a numerical approach with MATLAB Dimitri Breda ; Stefano Maset ; Rossana Vermiglio |
| title_fullStr | Stability of linear delay differential equations a numerical approach with MATLAB Dimitri Breda ; Stefano Maset ; Rossana Vermiglio |
| title_full_unstemmed | Stability of linear delay differential equations a numerical approach with MATLAB Dimitri Breda ; Stefano Maset ; Rossana Vermiglio |
| title_short | Stability of linear delay differential equations |
| title_sort | stability of linear delay differential equations a numerical approach with matlab |
| title_sub | a numerical approach with MATLAB |
| topic | Numerische Mathematik (DE-588)4042805-9 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| topic_facet | Numerische Mathematik Differentialgleichung mit nacheilendem Argument |
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