Results 31 to 40 of about 1,373,381 (258)
Parametric structure-preserving model order reduction [PDF]
2007 IFIP International Conference on Very Large Scale Integration, 2007 Analysis and verification environments for next- generation nano-scale RFIC designs must be able to cope with increasing design complexity and to account for new effects, such as process variations and Electromagnetic (EM) couplings. Designed-in passives, substrate, interconnect and devices can no longer be treated in isolation as the interactions ...
Jorge Fernandez Villena +2 more
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Model order reduction assisted by deep neural networks (ROM-net)
Advanced Modeling and Simulation in Engineering Sciences, 2020 In this paper, we propose a general framework for projection-based model order reduction assisted by deep neural networks. The proposed methodology, called ROM-net, consists in using deep learning techniques to adapt the reduced-order model to a ...
Thomas Daniel +3 more
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Model Order Reduction in Neuroscience
CoRR, 2020 The human brain contains approximately $10^9$ neurons, each with approximately $10^3$ connections, synapses, with other neurons. Most sensory, cognitive and motor functions of our brains depend on the interaction of a large population of neurons. In recent years, many technologies are developed for recording large numbers of neurons either sequentially
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Model order reduction for optimality systems through empirical gramians
Frontiers in Applied Mathematics and Statistics, 2023 In the present article, optimal control problems for linear parabolic partial differential equations (PDEs) with time-dependent coefficient functions are considered.
Luca Mechelli +2 more
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FFT-based simulation using a reduced set of frequencies adapted to the underlying microstructure [PDF]
Computer Methods in Materials Science, 2021 Instead of the classical finite element (FE) based microstructure simulation, a Fast Fourier transform (FFT) based microstructure simulation, introduced by Moulinec and Suquet (1994, 1998), also enables the computation of highly resolved microstructural ...
Christian Gierden +3 more
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Model order reduction for nonlinear Schrödinger equation [PDF]
Applied Mathematics and Computation, 2015 We apply the proper orthogonal decomposition (POD) to the nonlinear Schrödinger (NLS) equation to derive a reduced order model. The NLS equation is discretized in space by finite differences and is solved in time by structure preserving symplectic mid-point rule. A priori error estimates are derived for the POD reduced dynamical system.
Bülent Karasözen +2 more
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Second-Order Model Reduction Based on Gramians
Journal of Control Science and Engineering, 2012 Some new and simple Gramian-based model order reduction algorithms are presented on second-order linear dynamical systems, namely, SVD methods. Compared to existing Gramian-based algorithms, that is, balanced truncation methods, they are competitive and ...
Cong Teng
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Model and Controller Order Reduction for Infinite Dimensional Systems [PDF]
ITB Journal of Engineering Science, 2010 This paper presents a reduced order model problem using reciprocal transformation and balanced truncation followed by low order controller design of infinite dimensional systems.
Fatmawati +3 more
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Passivity preserving model order reduction for the SMIB [PDF]
2008 47th IEEE Conference on Decision and Control, 2008 We apply (linear) positive real balancing to the model of a single machine connected to an infinite bus. For that we compute the available storage and the required supply using Taylor approximation and define axis positive real singular value functions. Furthermore, we apply linear positive real balancing to the nonlinear model and analyze the results.
Tudor Corneliu Ionescu +1 more
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Parameterized Model Order Reduction
, 2015 This Chapter introduces parameterized, or parametric, Model Order Reduction (pMOR). The Sections are offered in a prefered order for reading, but can be read independently. Section 5.1, written by Jorge Fernández Villena, L. Miguel Silveira, Wil H.A. Schilders, Gabriela Ciuprina, Daniel Ioan and Sebastian Kula, overviews the basic principles for pMOR ...
Ciuprina, Gabriela +11 more
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