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Numerical Analysis of Nonlinear Eigenvalue Problems [PDF]
Journal of Scientific Computing, 2010 We provide a priori error estimates for variational approximations of the ground state eigenvalue and eigenvector of nonlinear elliptic eigenvalue problems of the form $-{div} (A\nabla u) + Vu + f(u^2) u = λu$, $\|u\|_{L^2}=1$. We focus in particular on the Fourier spectral approximation (for periodic problems) and on the $¶_1$ and $¶_2$ finite-element
Cancès, Eric +2 more
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Entropy, 2023 This research systematically analyzes the behaviors of correlations among stock prices and the eigenvalues for correlation matrices by utilizing random matrix theory (RMT) for Chinese and US stock markets.
Yong Tang +6 more
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Construction and research on the navigation condition of oil supply vessels [PDF]
E3S Web of Conferences, 2022 Constructing navigation condition of oil supply vessels is of vital importance to both the research on the main engine and the safety of navigation. This paper carries out in-depth research and analysis based on the half-year shipping data derived from ...
Hong Shiding +3 more
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Frontiers in Built Environment, 2022 The Gorkha earthquake in 2015 was a recent large-scale earthquake that caused severe damage to many historic masonry buildings in the Kathmandu Valley, Nepal.
Yoichi Mukai +5 more
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Electromagnetic Steklov eigenvalues: approximation analysis [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2021 We continue the work of Camano et al. [SIAM J. Math. Anal. 49 (2017) 4376–4401] on electromagnetic Steklov eigenvalues. The authors recognized that in general the eigenvalues do not correspond to the spectrum of a compact operator and hence proposed a modified eigenvalue problem with the desired properties.
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Modelling and Stability Analysis of Articulated Vehicles
Applied Sciences, 2021 This study constructs a nonlinear dynamic model of articulated vehicles and a model of hydraulic steering system. The equations of state required for nonlinear vehicle dynamics models, stability analysis models, and corresponding eigenvalue analysis are ...
Tianlong Lei, Jixin Wang, Zongwei Yao
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Dynamic interactions stability analysis of hybrid renewable energy system with SSSC [PDF]
Archives of Electrical Engineering, 2021 The static series synchronous compensator (SSSC) has demonstrated its capability in providing voltage support and improving power system stability.
Ping He, Pan Qi, Yuqi Ji, Zhao Li
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Archives of Electrical Engineering, 2020 The grid integration of large-scale wind and solar energy affects the power flow of wind-PV-thermal-bundled power transmission systems and may introduce an unpredicted threat to the power system’s small signal stability.
Ping He +4 more
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Estimation of the Number of Spiked Eigenvalues in a Covariance Matrix by Bulk Eigenvalue Matching Analysis [PDF]
Journal of the American Statistical Association, 2021 The spiked covariance model has gained increasing popularity in high-dimensional data analysis. A fundamental problem is determination of the number of spiked eigenvalues, K. For estimation of K, most attention has focused on the use of top eigenvalues of sample covariance matrix, and there is little investigation into proper ways of using bulk ...
Zheng Tracy Ke, Yucong Ma, Xihong Lin
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IEEE Access, 2020 This paper presents the Cross-Border activation of the Regulating Reserve (CBRR) between participating Control Areas (CAs), which is being developed to reduce the costs of balancing energy.
Marcel Topler +2 more
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