Results 51 to 60 of about 685,182 (317)
Krein signature for instability of $\mathcal{PT}$-symmetric states
Krein quantity is introduced for isolated neutrally stable eigenvalues associated with the stationary states in the $\mathcal{PT}$-symmetric nonlinear Schr\"{o}dinger equation.
Chernyavsky, Alexander+1 more
core +1 more source
Maass cusp forms for large eigenvalues [PDF]
We investigate the numerical computation of Maass cusp forms for the modular group corresponding to large eigenvalues. We present Fourier coefficients of two cusp forms whose eigenvalues exceed r=40000.
Then, H.
core +5 more sources
Dynamics of a Flexible Roof Test Model under Ambient Vibrations Measurements
Flexible roofs are sensitive to wind actions because they are light, and their deformability can induce local or global instability. In most cases, their design requires experimental wind tunnel testing to investigate the aeroelastic phenomena and the ...
Fabio Rizzo+7 more
doaj +1 more source
Summary The properties of penalized sample covariance matrices depend on the choice of the penalty function. In this paper, we introduce a class of nonsmooth penalty functions for the sample covariance matrix and demonstrate how their use results in a grouping of the estimated eigenvalues.
Tyler, David E., Yi, Mengxi
openaire +2 more sources
Correspondence of the eigenvalues of a non-self-adjoint operator to those of a self-adjoint operator
We prove that the eigenvalues of a certain highly non-self-adjoint operator that arises in fluid mechanics correspond, up to scaling by a positive constant, to those of a self-adjoint operator with compact resolvent; hence there are infinitely many real ...
Burkill, Dunford, John Weir
core +1 more source
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez+2 more
wiley +1 more source
A constrained eigenvalue problem [PDF]
ETH, Eidgenössische Technische Hochschule Zürich, Institut für Informatik, Fachgruppe Wissenschaftliches Rechnen ...
Gander, Walter+2 more
openaire +4 more sources
In this study, the unique role of the unusual lone‐pair‐π conjugation mechanism in poly(1,4‐anthraquinone) (P14AQ) is explored as an organic electrode material. Unlike traditional π‐π interactions, P14AQ's conjugation involves lone pairs of oxygen atoms interacting with the π cloud of adjacent units, enabling stable charge transport even with minimal π‐
Xiaotong Zhang, Piotr de Silva
wiley +1 more source
Analyzing Electronic Excitations and Exciton Binding Energies in Y6 Films
The Y6 molecule is used for increasing the efficiency of organic solar cells. The exciton binding energy is calculated for ensembles of Y6 molecules that are representative of the typically used films. The calculations show that the excitons typically spread out over many molecules.
Sahar Javaid Akram+2 more
wiley +1 more source
The Dual Characterization of Structured and Skewed Structured Singular Values
The structured singular values and skewed structured singular values are the well-known mathematical quantities and bridge the gap between linear algebra and system theory.
Mutti-Ur Rehman+4 more
doaj +1 more source