Index-aware Model Order Reduction Methods [recurso electrónico] : Applications to Differential-Algebraic Equations / by N. Banagaaya, G. Alì, W.H.A. Schilders.

Por: Banagaaya, N [author.]Colaborador(es): Alì, G [author.] | Schilders, W.H.A [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Atlantis Studies in Scientific Computing in Electromagnetics ; 2Editor: Paris : Atlantis Press : Imprint: Atlantis Press, 2016Edición: 1st ed. 2016Descripción: IX, 86 p. 25 illus., 6 illus. in color. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9789462391895Tema(s): Mathematics | Computer science -- Mathematics | Computer mathematics | Electrical engineering | Mathematics | Computational Mathematics and Numerical Analysis | Electrical Engineering | Mathematics of ComputingFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 518 Clasificación LoC:QA71-90Recursos en línea: Libro electrónicoTexto
Contenidos:
Introduction -- Di?erential-Algebraic Equations -- Decoupling of linear constant DAEs -- Index-aware model order reduction -- Large scale problems -- Conclusion.
En: Springer eBooksResumen: 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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Introduction -- Di?erential-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.

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