Results 21 to 30 of about 4,793,633 (336)
Control-oriented implementation and model order reduction of a lithium-ion battery electrochemical model [PDF]
, 2019 The use of electrochemical models makes it computationally intractable for online implementation as the model is subject to a complicated mathematical structure including partial-differential equations (PDE).
Li, Liuying +3 more
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Symplectic Model Order Reduction with Non-Orthonormal Bases
Mathematical and Computational Applications, 2019 Parametric high-fidelity simulations are of interest for a wide range of applications. However, the restriction of computational resources renders such models to be inapplicable in a real-time context or in multi-query scenarios.
Patrick Buchfink +2 more
doaj +1 more source
Efficient Wildland Fire Simulation via Nonlinear Model Order Reduction
Fluids, 2021 We propose a new hyper-reduction method for a recently introduced nonlinear model reduction framework based on dynamically transformed basis functions and especially well-suited for transport-dominated systems.
Felix Black +2 more
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A New Biased Model Order Reduction for Higher Order Interval Systems
Advances in Electrical and Electronic Engineering, 2016 This paper presents a new biased method for order reduction of linear continuous time interval systems. This method is based on the Stability equation method, Pade approximation and Kharitonov’s theorem. The higher order interval system is represented by
Mangipudi Siva Kumar, Gulshad Begum
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Model Order Reduction for Nonlinear IC Models [PDF]
, 2009 Model order reduction is a mathematical technique to transform nonlinear dynamical models into smaller ones, that are easier to analyze. In this paper we demonstrate how model order reduction can be applied to nonlinear electronic circuits. First we give an introduction to this important topic. For linear time-invariant systems there exist already some
Verhoeven, A. +3 more
openaire +3 more sources
Multipoint model order reduction of delayed PEEC systems [PDF]
, 2011 We present a new model order reduction technique for electrically large systems with delay elements, which can be modeled by means of neutral delayed differential equations.
Antonini, Giulio +5 more
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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
doaj +1 more source
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 ...
Fernández Villena, J. +2 more
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Model-order reduction for hyperbolic relaxation systems
International Journal of Nonlinear Sciences and Numerical Simulation, 2022 Abstract We propose a novel framework for model-order reduction of hyperbolic differential equations. The approach combines a relaxation formulation of the hyperbolic equations with a discretization using shifted base functions. Model-order reduction techniques are then applied to the resulting system of coupled ordinary differential ...
Sara Grundel, Michael Herty
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Nonlinear model order reduction via Dynamic Mode Decomposition [PDF]
, 2016 We propose a new technique for obtaining reduced order models for nonlinear dynamical systems. Specifically, we advocate the use of the recently developed Dynamic Mode Decomposition (DMD), an equation-free method, to approximate the nonlinear term.
Alla, Alessandro, Kutz, J. Nathan
core +2 more sources