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Index-aware Model Order Reduction Methods
(Englisch)
Applications to Differential-Algebraic Equations
N. Banagaaya & Giuseppe Alì & Wil H.A. Schilders

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Index-aware Model Order Reduction Methods

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Produktbeschreibung

This is the first book on index-aware model order reduction methods
The splitting technique described in this book is computationally much more effective than existing methods
Methods described for the reduction of algebraic systems are new and widely applicable

This is the first book on index-aware model order reduction methods

The splitting technique described in this book is computationally much more effective than existing methods

Methods described for the reduction of algebraic systems are new and widely applicable

Includes supplementary material: sn.pub/extras


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.




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


Inhaltsverzeichnis



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


Klappentext



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.


This is the first book on index-aware model order reduction methods

The splitting technique described in this book is computationally much more effective than existing methods

Methods described for the reduction of algebraic systems are new and widely applicable

Includes supplementary material: sn.pub/extras

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