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Index-aware Model Order Reduction Methods

Applications to Differential-Algebraic Equations

N. Banagaaya, Giuseppe Alì, Wil H.A. Schilders (Autoren)

Buch | Hardcover

86 Seiten

2016 | 2016 ed.
Atlantis Press (Zeger Karssen) (Verlag)
978-94-6239-188-8 (ISBN)

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The main aim of this book is to discuss model order reduction (MOR) methods for differential-algebraic equations (DAEs) with linear coefficients that make use of splitting techniques before applying model order reduction. The splitting produces a system of ordinary differential equations (ODE) and a system of algebraic equations, which are then reduced separately. For the reduction of the ODE system, conventional MOR methods can be used, whereas for the reduction of the algebraic systems new methods are discussed. The discussion focuses on the index-aware model order reduction method (IMOR) and its variations, methods for which the so-called index of the original model is automatically preserved after reduction.

Introduction.- Diﬀerential-Algebraic Equations.- Decoupling of linear constant DAEs.- Index-aware model order reduction.- Large scale problems.- Conclusion.

Erscheinungsdatum	05.04.2016
Reihe/Serie	Atlantis Studies in Scientific Computing in Electromagnetics ; 2
Zusatzinfo	6 Illustrations, color; 19 Illustrations, black and white; IX, 86 p. 25 illus., 6 illus. in color.
Verlagsort	Paris
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
	Technik ► Elektrotechnik / Energietechnik
ISBN-10	94-6239-188-2 / 9462391882
ISBN-13	978-94-6239-188-8 / 9789462391888
Zustand	Neuware