Index-aware Model Order Reduction Methods - Applications to Differential-Algebraic Equations

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.

List of contents

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

Summary

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.

Product details

• Authors: Giuseppe Ali, G. Alì, Giusepp Alì, Giuseppe Alì, Banagaaya, N Banagaaya, N. Banagaaya, Nicodemus Banagaaya, W. H. A. Schilders, Wil H A Schilders, Wil H. A. Schilders, Wil H.A . Schilders, Wil H.A. Schilders
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.01.2016
• EAN: 9789462391888
• ISBN: 978-94-62-39188-8
• No. of pages: 86
• Dimensions: 166 mm x 241 mm x 10 mm
• Weight: 262 g
• Illustrations: IX, 86 p. 25 illus., 6 illus. in color.
• Series: Atlantis Studies in Scientific Computing in Electromagnetics; Atlantis Studies in Scientific Computing in Electromagnetics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; B, engineering, Electrical Engineering, Electrical and Electronic Engineering, Mathematics of Computing, Computational Mathematics and Numerical Analysis, Computer mathematics, Mathematical theory of computation, Computer science—Mathematics, Maths for computer scientists