Zobrazeno 1 - 10
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pro vyhledávání: '"Parametric dynamical systems"'
The paper addresses the problem of finding a low-rank approximation of a multi-dimensional tensor, $\Phi $, using a subset of its entries. A distinctive aspect of the tensor completion problem explored here is that entries of the $d$-dimensional tens
Externí odkaz:
http://arxiv.org/abs/2411.07151
Autor:
Sun, Shuwen, Feng, Lihong, Chan, Hoon Seng, Miličić, Tamara, Vidaković-Koch, Tanja, Röder, Fridolin, Benner, Peter
A non-intrusive model order reduction (MOR) method that combines features of the dynamic mode decomposition (DMD) and the radial basis function (RBF) network is proposed to predict the dynamics of parametric nonlinear systems. In many applications, w
Externí odkaz:
http://arxiv.org/abs/2305.06197
In this work, we investigate a model order reduction scheme for high-fidelity nonlinear structured parametric dynamical systems. More specifically, we consider a class of nonlinear dynamical systems whose nonlinear terms are polynomial functions, and
Externí odkaz:
http://arxiv.org/abs/2301.09484
Publikováno v:
In Journal of Computational Physics 1 June 2024 506
Akademický článek
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Akademický článek
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Autor:
Meidani, Kazem a, Barati Farimani, Amir a, b, c, ⁎
Publikováno v:
In Expert Systems With Applications 1 June 2023 219
The paper introduces a reduced order model (ROM) for numerical integration of a dynamical system which depends on multiple parameters. The ROM is a projection of the dynamical system on a low dimensional space that is both problem-dependent and param
Externí odkaz:
http://arxiv.org/abs/2111.00649
Publikováno v:
SIAM Journal on Applied Dynamical Systems (2023), Vol. 22, Iss. 3
Dynamic mode decomposition (DMD) has recently become a popular tool for the non-intrusive analysis of dynamical systems. Exploiting Proper Orthogonal Decomposition (POD) as a dimensionality reduction technique, DMD is able to approximate a dynamical
Externí odkaz:
http://arxiv.org/abs/2110.09155
The AAA algorithm has become a popular tool for data-driven rational approximation of single variable functions, such as transfer functions of a linear dynamical system. In the setting of parametric dynamical systems appearing in many prominent appli
Externí odkaz:
http://arxiv.org/abs/2003.06536