Index-aware Model Order Reduction Methods

Applications to Differential-Algebraic Equations

Nonfiction, Science & Nature, Mathematics, Counting & Numeration, Technology, Electricity
Cover of the book Index-aware Model Order Reduction Methods by N. Banagaaya, Giuseppe Alì, Wil H.A. Schilders, Atlantis Press
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Author: N. Banagaaya, Giuseppe Alì, Wil H.A. Schilders ISBN: 9789462391895
Publisher: Atlantis Press Publication: March 5, 2016
Imprint: Atlantis Press Language: English
Author: N. Banagaaya, Giuseppe Alì, Wil H.A. Schilders
ISBN: 9789462391895
Publisher: Atlantis Press
Publication: March 5, 2016
Imprint: Atlantis Press
Language: English

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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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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