Titlebook: Reduced-Order Modeling (ROM) for Simulation and Optimization; Powerful Algorithms Winfried Keiper,Anja Milde,Stefan Volkwein Book 2018 Spr

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Sequential Reduced-Order Modeling for Time-Dependent Optimization Problems with Initial Value Contris augmented ROM substantially improves the accuracy of the computed control, but this accuracy may still not be enough. The proposed sequential application of the augmented ROM can compute an approximate control with the same accuracy as the one obtained using only the expensive full-order model, but at a fraction of the cost.

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A Direct Index 1 DAE Model of Gas Networks,ear differential algebraic equations, which is easier to simulate and we can show that a structured projection leads to a reduced system that also typically has index 1. We validate the use of this model and its advantage for fast simulation, including model order reduction, in some numerical examples.

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978-3-030-09199-6Springer International Publishing AG, part of Springer Nature 2018

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https://doi.org/10.1007/978-3-319-75319-5Model Reduction; Algorithms for scientific computing; Scientific Computing; Applications in Industry; Op