Index-aware Model Order Reduction Methods: Applications to Differential-Algebrai

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Index-aware Model Order Reduction Methods by N. Banagaaya, Giuseppe Alì, Wil H.A. Schilders

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.

FORMAT
Hardcover LANGUAGE
English CONDITION
Brand New Publisher Description

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.

Back Cover

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.

Table of Contents

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

Feature

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

Details ISBN9462391882 Short Title INDEX-AWARE MODEL ORDER REDUCT Language English ISBN-10 9462391882 ISBN-13 9789462391888 Media Book Format Hardcover Year 2016 Pages 86 Imprint Atlantis Press Subtitle Applications to Differential-Algebraic Equations Country of Publication Netherlands DOI 10.2991/978-94-6239-189-5 Series Number 2 Edited by Maurizio Falanga Birth 1945 Affiliation Georgia Institute of Technology Position Kranzberg Professor Qualifications MD Author Wil H.A. Schilders Publisher Atlantis Press (Zeger Karssen) Publication Date 2016-03-02 DEWEY 511.8 Audience General Series Atlantis Studies in Scientific Computing in Electromagnetics Edition Description 2016 ed. Edition 2016th Country of Origin NL Product Class Description Engineering & Technology: Textbooks & Study Guides Alternative 9789462391895 Illustrations 6 Illustrations, color; 19 Illustrations, black and white
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