Index-aware Model Order Reduction Methods: Applications to Differential-Algebraic Equations (Atlantis Studies in Scientific Computing in Electromagnetics, 2)

Banagaaya, N.; Alì, Giuseppe; Schilders, Wil H.A.

ISBN 10: 9462391882 / ISBN 13: 9789462391888

Published by Atlantis Press, 2016

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Seller Inventory # I-9789462391888

Bibliographic Details

• Title: Index-aware Model Order Reduction Methods: Applications to Differential-Algebraic Equations (Atlantis Studies in Scientific Computing in Electromagnetics, 2)
• Publisher: Atlantis Press
• Publication Date: 2016
• Language: English
• ISBN 10: 9462391882
• ISBN 13: 9789462391888
• Binding: Hardcover
• Condition: New

About this title

Synopsis

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.