Index-aware Model Order Reduction Methods: Applications To Differential-algebraic Equations (atlantis Studies In Scientific Computing In Electromagnetics)
by Giuseppe Alì /
2016 / English / PDF
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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.
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.