Einband:
Kartonierter Einband
Untertitel:
Differential-Algebraic Equations Forum
Autor:
René Lamour, Caren Tischendorf, Roswitha März
Herausgeber:
Springer Berlin Heidelberg
Erscheinungsdatum:
18.01.2013
This book analyzes the impressive complexity of Differential algebraic equations (DAEs), to describe the state of the art and to examine open problems, thus to motivate further research on this versatile topic from a broader mathematical perspective.
New comprehensive analysis of general nonlinear DAEs First book describing the projector approach for nonlinear, higher-index DAEs Rigorous description, multitude of examples highlighting analytical and numerical challenges in this field Suitable for students, researchers and users from different application fields (e.g. circuit and electromagnetic simulation, mechanical engineering, system biology) Includes supplementary material: sn.pub/extras
Autorentext
Dr. René Lamour, Humbold University of Berlin, Department of Mathematics, Germany Prof. Dr. Roswitha März, Humbold University of Berlin, Department of Mathematics, Germany Prof. Dr. Caren Tischendorf, University of Cologne, Mathematical Institute, Germany
Inhalt
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.
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