Results 21 to 30 of about 1,077,728 (350)
Homogenization of a Singular Perturbation Problem
Journal of Mathematical Sciences, 2019 The authors investigate the passage to the homogenization limit done simultaneously with the passage to the limit in yet another independent parameter. Under suitable assumptions and choices of the ordering between the two small parameters, the authors are able to show that there is a case when the limit (weak) solution satisfies a standard Bernoulli ...
Kim, S., Shahgholian, H.
openaire +2 more sources
Journal of Computational Physics, 2022 Physics-informed neural networks (PINNs) are a recent trend in scientific machine learning research and modeling of differential equations. Despite progress in PINN research, large gradients and highly nonlinear patterns remain challenging to model.
Amirhossein Arzani +2 more
semanticscholar +1 more source
A Second-Order Singular Perturbation for Model Simplification for a Microgrid
Energies, 2023 As the integration of electronic-interfaced devices have increased, microgrid models have become too complex to perform a stability analysis. Thus, an effective model simplification method keeping most dynamics of the system becomes very essential ...
Xiao-Qi Yin, Bao-Shun Yang, Jun Tao
doaj +1 more source
Perturbation expansions and error bounds for the truncated singular value decomposition [PDF]
arXiv.org, 2020 Truncated singular value decomposition is a reduced version of the singular value decomposition in which only a few largest singular values are retained.
Trung Vu, Evgenia Chunikhina, R. Raich
semanticscholar +1 more source
Long Wavelength Coherency in Well Connected Electric Power Networks
IEEE Access, 2022 We investigate coherent oscillations in large scale transmission power grids, where large groups of generators respond in unison to a distant disturbance. Such long wavelength coherent phenomena are known as inter-area oscillations.
Julian Fritzsch, Philippe Jacquod
doaj +1 more source
Distributed sub-optimal resource allocation via a projected form of singular perturbation [PDF]
at - Automatisierungstechnik, 2019 Distributed optimization for resource allocation problems is investigated and a sub-optimal continuous-time algorithm is proposed. Our algorithm has lower order dynamics than others to reduce burdens of computation and communication, and is applicable to
Shu Liang +3 more
semanticscholar +1 more source
Singular anisotropic equations with a sign-changing perturbation
Nonlinear Analysis, 2023 We consider an anisotropic Dirichlet problem driven by the variable (p, q)-Laplacian (double phase problem). In the reaction, we have the competing effects of a singular term and of a superlinear perturbation. Contrary to most of the previous papers, we
Zhenhai Liu, Nikolaos S. Papageorgiou
doaj +1 more source
The Super-Diffusive Singular Perturbation Problem
Mathematics, 2020 In this paper we study a class of singularly perturbed defined abstract Cauchy problems.
Edgardo Alvarez, Carlos Lizama
doaj +1 more source
Singular Perturbations in Option Pricing [PDF]
SIAM Journal on Applied Mathematics, 2003 In an earlier paper [Int. J. Theor. Appl. Finance 3, No. 1, 101--142 (2000; Zbl 1153.91497)] concerning stochastic volatility models (in which the volatility is driven by an additional Brownian motion), the authors have shown that, in the presence of a separation of time scales between the main observerd process and the volatility driving process ...
George Papanicolaou +3 more
openaire +1 more source
Distributed sub-optimal resource allocation over weight-balanced graph via singular perturbation [PDF]
at - Automatisierungstechnik, 2017 In this paper, we consider distributed optimization design for resource allocation problems over weight-balanced graphs. With the help of singular perturbation analysis, we propose a simple sub-optimal continuous-time optimization algorithm. Moreover, we
Shu Liang, Xianlin Zeng, Yiguang Hong
semanticscholar +1 more source