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Index-aware Model Order Reduction Methods [electronic resource] : Applications to Differential-Algebraic Equations / by N. Banagaaya, G. Al�i, W.H.A. Schilders.

By: Banagaaya, N [author.].
Contributor(s): Al�i, G [author.] | Schilders, W.H.A [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Atlantis Studies in Scientific Computing in Electromagnetics: 2Publisher: Paris : Atlantis Press : Imprint: Atlantis Press, 2016Edition: 1st ed. 2016.Description: IX, 86 p. 25 illus., 6 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789462391895.Subject(s): Mathematics | Computer science -- Mathematics | Computer mathematics | Electrical engineering | Mathematics | Computational Mathematics and Numerical Analysis | Electrical Engineering | Mathematics of ComputingAdditional physical formats: Printed edition:: No titleDDC classification: 518 Online resources: Click here to access online
Contents:
Introduction -- Differential-Algebraic Equations -- Decoupling of linear constant DAEs -- Index-aware model order reduction -- Large scale problems -- Conclusion.
In: Springer eBooksSummary: 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.
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Introduction -- Differential-Algebraic Equations -- Decoupling of linear constant DAEs -- Index-aware model order reduction -- Large scale problems -- Conclusion.

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.

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