The Resource Differential-Algebraic Equations: A Projector Based Analysis, by René Lamour, Roswitha März, Caren Tischendorf, (electronic resource)

Differential-Algebraic Equations: A Projector Based Analysis, by René Lamour, Roswitha März, Caren Tischendorf, (electronic resource)

Label
Differential-Algebraic Equations: A Projector Based Analysis
Title
Differential-Algebraic Equations: A Projector Based Analysis
Statement of responsibility
by René Lamour, Roswitha März, Caren Tischendorf
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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 for the 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 and in so doing to motivate further research of 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.
Member of
http://library.link/vocab/creatorName
Lamour, René
Dewey number
512.56
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • o_xa2vgwjNM
  • WvIBBW_kFLk
  • -6I_sgoLbKI
Language note
English
LC call number
QA372
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • März, Roswitha.
  • Tischendorf, Caren.
Series statement
Differential-Algebraic Equations Forum,
http://library.link/vocab/subjectName
  • Differential Equations
  • Mathematics
  • Computer science
  • Ordinary Differential Equations
  • Applications of Mathematics
  • Computational Mathematics and Numerical Analysis
Label
Differential-Algebraic Equations: A Projector Based Analysis, by René Lamour, Roswitha März, Caren Tischendorf, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (666 p.)
Form of item
online
Isbn
9783642275555
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-27555-5
Specific material designation
remote
System control number
  • (CKB)2670000000327976
  • (EBL)1082430
  • (OCoLC)827212453
  • (SSID)ssj0000878739
  • (PQKBManifestationID)11486344
  • (PQKBTitleCode)TC0000878739
  • (PQKBWorkID)10836859
  • (PQKB)10432970
  • (DE-He213)978-3-642-27555-5
  • (MiAaPQ)EBC1082430
  • (EXLCZ)992670000000327976
Label
Differential-Algebraic Equations: A Projector Based Analysis, by René Lamour, Roswitha März, Caren Tischendorf, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (666 p.)
Form of item
online
Isbn
9783642275555
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-27555-5
Specific material designation
remote
System control number
  • (CKB)2670000000327976
  • (EBL)1082430
  • (OCoLC)827212453
  • (SSID)ssj0000878739
  • (PQKBManifestationID)11486344
  • (PQKBTitleCode)TC0000878739
  • (PQKBWorkID)10836859
  • (PQKB)10432970
  • (DE-He213)978-3-642-27555-5
  • (MiAaPQ)EBC1082430
  • (EXLCZ)992670000000327976

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