Results 81 to 90 of about 45,671 (275)
Methodology for Topological Interface Engineering in 2D Photonic Crystals
Advanced Photonics Research, Volume 7, Issue 1, January 2026.This article introduces an automated framework for topological photonic crystal design. It features an iterative band connection method for identifying band crossings, a data‐driven approach for band symmetry recognition, and analysis of how topological mode dispersion trades off with photonic band‐gap size.
Ondřej Novák +2 more
wiley +1 more source
Nodal intersections for random eigenfunctions on the torus [PDF]
, 2014 We investigate the number of nodal intersections of random Gaussian Laplace eigenfunctions on the standard two-dimensional flat torus (``arithmetic random waves'') with a fixed smooth reference curve with nonvanishing curvature. The expected intersection
Z. Rudnick, I. Wigman
semanticscholar +1 more source
NUMERICAL METHODS FOR DISCONTINUOUS STURM-LIOUVILLE PROBLEMS
Journal of New Theory, 2015 − This study is devoted to determining the eigenvalues and eigenfunctions of a discontinuous Sturm-Liouville Problem. By modifying the finite difference method, we have developed anumerical approximation to the eigenvalues and ...
Zulfigar Akdogan, Savas Kunduracı
doaj
Eigenfunction expansions in ℝⁿ
Proceedings of the American Mathematical Society, 2011 The main goal of this paper is to extend in R n \mathbb {R}^n a result of Seeley on eigenfunction expansions of real analytic functions on compact manifolds. As a counterpart of an elliptic operator in a compact manifold, we consider in R n \mathbb {R}^n
T. Gramchev +2 more
openaire +4 more sources
Stochastic Duality and Eigenfunctions [PDF]
, 2019 We start from the observation that, anytime two Markov generators share an eigenvalue, the function constructed from the product of the two eigenfunctions associated to this common eigenvalue is a duality function. We push further this observation and provide a full characterization of duality relations in terms of spectral decompositions of the ...
Redig F., Sau F.
openaire +3 more sources
Advanced Science, Volume 13, Issue 2, 9 January 2026.A self‐consistent ab initio many‐body perturbation theory combined with locally exact dynamical mean field theory is employed to compute the sub‐bandgap electronic transitions in van der Waals antiferromagnets. The rich interplay between the magnetic ordering and spin‐entangled optical transitions, manifested as photoluminescence and absorption ...
Dipankar Jana +7 more
wiley +1 more source
Advanced Science, Volume 13, Issue 5, 27 January 2026.We show that solutal Marangoni flows in thin films climbing the outer surfaces of hydrophilic obstacles break circular Belousov‐Zhabotinsky waves into striking flower‐like patterns. Evaporation‐driven surface‐tension gradients, coupled with gravity, trigger the instability; above a threshold, petal number scales linearly with obstacle diameter ...
Sangram Gore +9 more
wiley +1 more source
Eigenfunctions with prescribed nodal sets [PDF]
, 2014 In this paper we consider the problem of prescribing the nodal set of low-energy eigenfunctions of the Laplacian. Our main result is that, given any separating closed hypersurface \Sigma in a compact n-manifold M, there is a Riemannian metric on M such ...
A. Enciso, D. Peralta-Salas
semanticscholar +1 more source
About the spectral problem arising from robotic manipulator mechanics
Моделирование и анализ информационных систем, 2009 A spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and ...
V. I. Voytitsky +2 more
doaj
Spectral problem for the sixth order nonclassical differential equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this article we investigate the correctness of boundary value problems for a sixth order quasi-hyperbolic equation in the Sobolev space Lu = −D6t u + ∆u − λu (Dt =∂/∂t , ∆ = Σni=1∂2/∂x2i – Laplace operator, λ – real parameter). For the given operator
A.I. Kozhanov +4 more
doaj +1 more source