Differential-algebraic equations: a projector based analysis
Gespeichert in:
| Hauptverfasser: | , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Heidelberg ; New York ; Dordrecht ; London
Springer
[2013]
|
| Schriftenreihe: | Differential-algebraic equations forum DAE-F
|
| Schlagworte: | |
| Online-Zugang: | DE-634 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (xxvii, 649 Seiten) Illustrationen, Diagramme |
| ISBN: | 9783642275555 |
| DOI: | 10.1007/978-3-642-27555-5 |
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Datensatz im Suchindex
| _version_ | 1821236931749478400 |
|---|---|
| adam_text |
DIFFERENTIAL-ALGEBRAIC EQUATIONS: A PROJECTOR BASED ANALYSIS
/ LAMOUR, RENE
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
NOTATIONS
INTRODUCTION
PART I. PROJECTOR BASED APPROACH
1 LINEAR CONSTANT COEFFICIENT DAES.-.2 LINEAR DAES WITH VARIABLE
COEFFICIENTS
3 NONLINEAR DAES
PART II. INDEX-1 DAES: ANALYSIS AND NUMERICAL TREATMENT
4 ANALYSIS
5 NUMERICAL INTEGRATION
6 STABILITY ISSUES
PART III. COMPUTATIONAL ASPECTS
7 COMPUTATIONAL LINEAR ALGEBRA ASPECTS
8 ASPECTS OF THE NUMERICAL TREATMENT OF HIGHER INDEX DAES
PART IV. ADVANCED TOPICS
9 QUASI-REGULAR DAES
10 NONREGULAR DAES
11 MINIMIZATION WITH CONSTRAINTS DESCRIBED BY DAES
12 ABSTRACT DIFFERENTIAL ALGEBRAIC EQUATIONS
A. LINEAR ALGEBRA – BASICS.-.B. TECHNICAL COMPUTATIONS
C ANALYSIS
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
DIFFERENTIAL-ALGEBRAIC EQUATIONS: A PROJECTOR BASED ANALYSIS
/ LAMOUR, RENE
: 2013
ABSTRACT / INHALTSTEXT
DIFFERENTIAL ALGEBRAIC EQUATIONS (DAES), INCLUDING SO-CALLED DESCRIPTOR
SYSTEMS, BEGAN TO ATTRACT SIGNIFICANT RESEARCH INTEREST IN APPLIED AND
NUMERICAL MATHEMATICS IN THE EARLY 1980S, NO MORE THAN ABOUT THREE
DECADES AGO. IN THIS RELATIVELY SHORT TIME, DAES HAVE BECOME A WIDELY
ACKNOWLEDGED TOOL TO MODEL PROCESSES SUBJECTED TO CERTAIN CONSTRAINTS IN
ORDER TO SIMULATE AND TO CONTROL PROCESSES IN VARIOUS APPLICATION FIELDS
SUCH AS NETWORK SIMULATION, CHEMICAL KINEMATICS, MECHANICAL ENGINEERING
AND SYSTEMS BIOLOGY. DAES AND THEIR MORE ABSTRACT VERSIONS IN INFINITE
DIMENSIONAL SPACES COMPRISE A GREAT POTENTIAL FORTHE FUTURE
MATHEMATICAL MODELING OF COMPLEX COUPLED PROCESSES. THE PURPOSE OF THE
BOOK IS TO EXPOSE THE IMPRESSIVE COMPLEXITY OF GENERAL DAES FROM AN
ANALYTICAL POINT OF VIEW, TO DESCRIBE THE STATE OF THE ART AS WELL AS
OPEN PROBLEMS ANDIN SODOING TO MOTIVATE FURTHER RESEARCHOF THIS
VERSATILE, EXTRAORDINARY TOPIC FROM A BROADER MATHEMATICAL PERSPECTIVE.
THE BOOK ELABORATES ON A NEW GENERAL, STRUCTURAL ANALYSIS CAPTURING
LINEAR AND NONLINEAR DAES IN A HIERARCHICAL WAY. THE DAE STRUCTURE IS
EXPOSED BY MEANS OF SPECIAL PROJECTOR FUNCTIONS. SOME ISSUES ON
NUMERICAL INTEGRATION AND COMPUTATIONAL ASPECTS ARE ALSO TREATED IN THIS
CONTEXT
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
| any_adam_object | 1 |
| author | Lamour, René März, Roswitha 1940- Tischendorf, Caren 1969- |
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| author_facet | Lamour, René März, Roswitha 1940- Tischendorf, Caren 1969- |
| author_role | aut aut aut |
| author_sort | Lamour, René |
| author_variant | r l rl r m rm c t ct |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-27555-5 |
| format | Electronic eBook |
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| spelling | Lamour, René Verfasser (DE-588)1036742865 aut Differential-algebraic equations a projector based analysis René Lamour ; Roswitha März ; Caren Tischendorf Heidelberg ; New York ; Dordrecht ; London Springer [2013] © 2013 1 Online-Ressource (xxvii, 649 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Differential-algebraic equations forum DAE-F Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s DE-604 März, Roswitha 1940- Verfasser (DE-588)106750917 aut Tischendorf, Caren 1969- Verfasser (DE-588)1036742962 aut Erscheint auch als Druck-Ausgabe, Paperback 978-3-642-27554-8 https://doi.org/10.1007/978-3-642-27555-5 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025785162&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025785162&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Lamour, René März, Roswitha 1940- Tischendorf, Caren 1969- Differential-algebraic equations a projector based analysis Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd |
| subject_GND | (DE-588)4229517-8 |
| title | Differential-algebraic equations a projector based analysis |
| title_auth | Differential-algebraic equations a projector based analysis |
| title_exact_search | Differential-algebraic equations a projector based analysis |
| title_full | Differential-algebraic equations a projector based analysis René Lamour ; Roswitha März ; Caren Tischendorf |
| title_fullStr | Differential-algebraic equations a projector based analysis René Lamour ; Roswitha März ; Caren Tischendorf |
| title_full_unstemmed | Differential-algebraic equations a projector based analysis René Lamour ; Roswitha März ; Caren Tischendorf |
| title_short | Differential-algebraic equations |
| title_sort | differential algebraic equations a projector based analysis |
| title_sub | a projector based analysis |
| topic | Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd |
| topic_facet | Differential-algebraisches Gleichungssystem |
| url | https://doi.org/10.1007/978-3-642-27555-5 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025785162&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025785162&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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